LHM - Level G - Practice Book by lighthousecurriculum

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LEVEL G

Lighthouse Math Practice book

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©Copyright 2022 Lighthouse Curriculum Inc. All rights reserved. Distributed by Leren Curriculum Inc. T: 718-.834.1231 E: lerenec@gmail.com Lighthouse Math Practice book level G • ISBN 978-1-955773-30-0 No part of this publication may be reproduced, stored in a retrieval system, stored in a database and/or published in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the publisher. To obtain permission to use portions of material from this publication, please contact Lighthouse curriculum. Content developed in collaboration with The Reimagined Classroom Contact Lighthouse curriculum: By calling: 718.285.7100, or emailing: info@lighthousecurriculum.com For more information visit www.lighthousecurriculum.com

Table of Contents Chapter 1...............................................................................................12 Chapter 2.............................................................................................. 30 Chapter 3.............................................................................................. 48 Chapter 4............................................................................................. 66 Chapter 5.............................................................................................. 84 Chapter 6.............................................................................................102 Chapter 7.............................................................................................120 Chapter 8............................................................................................. 138 Chapter 9............................................................................................. 156 Chapter 10........................................................................................... 174 Chapter 11............................................................................................ 192 Chapter 12...........................................................................................210 Chapter 13...........................................................................................228 Chapter 14.......................................................................................... 246

Chapter 1 Chapter 1 NYS NG Standards NY-3.NBT.1 NY-4.NBT.4 NYS NG Standards NY-3.NBT.2 NY-5.OA.1 NY-4.NBT.2 NY-4.OA.3 NY-3.NBT.1 NY-4.NBT.4 NY-3.NBT.2 NY-5.OA.1 NY-4.NBT.2 NY-4.OA.3

CC Standards

3.NBT.A.1 4.NBT.B.4 CC Standards 5.OA.A.1 3.NBT.A.2 4.NBT.A.2 4.OA.A.3 3.NBT.A.1 4.NBT.B.4 3.NBT.A.2 5.OA.A.1 4.NBT.A.2 4.OA.A.3

12 12

In Chapter 1 we will review previous learning of

Place Value and Whole Number Addition and Place Value and Whole Subtraction Number Addition and Subtraction

In Chapter 1 we will review previous learning of

We will also practice finding missing addends and review the order of operations involving addition and We will also practice finding missing addends and subtraction. review the order of operations involving addition and subtraction. • Place value • Order & compare numbers •• Place value Addition •• Order & compare numbers Subtraction •• Addition Addition and subtraction word problems •• Subtraction Missing addends and evaluating expressions •• Addition subtraction word problems Order of and operations •• Missing Review addends and evaluating expressions • Order of operations •Real Review world application of the skills covered in this chapter will be explored through word problems and Real world application the skillswill covered in develop this evaluating expressions.ofStudents further their chapter will be explored through word problems and understanding of the order of operations. evaluating expressions. Students will further develop their understanding of the order of operations.

13 13

Level G

Name

Chapter 1 Lesson 1

Date

Fill in the place value chart below. Word bank: billions, thousands, ones, tens, hundreds, trillions, millions

Write the place value of each bolded digit. 1.

5,364,058,835

37,521,698

4,355,453

7,534,255, 235,124

23,684,206,365

27,256,285,321,302

12,545,358,258

6,561,098,831

Write the standard form of each number. 9.

Two trillion, five hundred sixty−eight billion, five hundred twenty−three million, six hundred fifty thousand. seven hundred fifty−three

10. Seven trillion, twenty−three billion, five hundred eighty−seven © Lighthouse Curriculum. Copying strictly prohibited.

million, four hundred twenty−one thousand, three 11. Six billion, five hundred sixty−two thousand, one hundred twelve 12. Five hundred twenty−three thousand, eight hundred sixty−nine Write the word form of each number. 13. 8,236,469,563 14. 9,562,436 15. 956,235,236 16. 200,356,856,430,002

Level G

Chapter 1 Lesson 1

1. In James's county, there are 17,694

Word Problems

2. A train station had nine hundred

miles of roadways. Write this number in

seventy-two thousand, eight

expanded form.

hundred ninety-one passengers go through it this month. Write this number in expanded form.

3. A blue whale eats 14,605,780,352 krill

4. The number of pounds of corn grown

this year. Write this number in word

in the world each year can be written

form.

(2 � 1,000,000,000,000) + (2 � 100,000,000,000) + (9 � 10,000,000,000) + (6 � 1,000,000,000) + (9 � 100,000,000) + (7 � 10,000,000) + (4 � 1,000,000) + (5 � 100,000) + (8 � 10,000) + (2 � 1,000). Write this number in standard form.

Level G

Name

Chapter 1 Lesson 2

Date

Compare the following numbers using the symbols <, > or =. 1.

36,568,236

586,321

21,536,859

21,537,321

8,605,782

999,879

103,205,876

17,325,006

1,215,758,580

12,365,235,236

1,325,658 9,314,245 12,921,105,678

10. 852,536,425

586,258 8,605,782 11,758,368 1,215,758,584 758,036,485

Write the numbers on the line in order. Least

12. 14,565,036

7,621,091

14,655,025

7,819,167

14,100,238

7,021,411

13,237,513

7,870,852 13. 346,670

Greatest Least

19,190,295 14. 36,869

2,113,367

27,725

988,779

32,369

6,289,890

2,000,009

375,789 15. 5,482,023

Greatest Least

36,852 16. 65,256,521

4,850,365

858,025

4,952,987

635,257,362

5,482,765

985,325

4,895,135 17. 356,995

Greatest Least

972,041 18. 7,110,358

368,458

7,635,271

368,569

8,725,785

210,275

7,800,000

284,233

Greatest

8,002,365

Least

Greatest Least © Lighthouse Curriculum. Copying strictly prohibited.

11. 7,821,091

Greatest Least

Greatest

Level G

Chapter 1 Lesson 2

Word Problems

1. In March, four train stations kept track

2. The country Uruguay has 181,034 km².

of how many passengers arrived at their

The country Cambodia has 181,035 km².

station. They found that the numbers

Which country is larger?

were 76,390; 102,368; 41,900; and 1,000,001. Write these numbers in order from smallest to largest.

3. The size of the country Canada is

4. This year, the fair sold 90,099 tickets.

9,706,961 km². The size of the United

Last year, the fair sold 90,102 tickets.

States is 9,372,610 km². Which country

Which year did the fair sell more

is larger?

tickets?

Level G

Name

Chapter 1 Lesson 3

Date

Add. 1.

789,365,182 + 536,142,533

320,758,063 + 543,533

88,423,023 + 256,134

623,235,785 + 126,358

289,298,192 + 42,533

225,769,153 + 956,543,533

69,256,856 + 36,256,235

78,105,569 + 36,256,421

Set up the problem and add. 45,389,201 + 3,458,839 = +

12. 15,365,585 + 6,538,412 =

10. 425,271 + 56,859 = +

13. 859,302 + 78,003 =

15. 452,695 + 235,109 =

16. 1,362,364 + 28,329 =

11. 7,623,571 + 8,235,856 = +

14. 21,306,008 + 1,852,003 = +

17. 8,632,101 + 8,856,432 = +

Level G

Chapter 1 Lesson 3

1. The population of the United States

Word Problems

2. Last year, a new car cost $43,781. This

last year was 332,915,073. This year it

year it costs $972 more. How much

has 1,890,196 more people. How many

does a new car cost this year?

people are in the United States this year?

3. A train and its cars weigh 17,890,128

4. The population of the United States

pounds. It stops at a station and adds

is 334,805,269. The population

a few more cars that weigh 1,437,228

of Canada is 38,369,302. What is

pounds. How much does the train and

the population of both countries

its cars weigh now?

combined?

Level G

Name

Chapter 1 Lesson 4

Date

Subtract. 1.

2,235,852 � 75,235

332,775,163 � 453,423

75,453,250 � 156,035

745,230,155 � 354,628

789,546,286 � 452,535,205

653,758,320 � 235,521,584

56,532,854 � 42,864,236

63,585,435 � 23,354,862

Set up the problem and add. 25,856,586 − 2,586,548 = �

12. 43,854,352 − 2,854,321 =

10. 756,354 − 23,805 = �

13. 854,358 − 64,854 =

�

15. 568,456 − 485,248 =

16. 6,854,354 − 28,309 =

�

11. 6,854,352 − 4,583,528 = �

14. 358,244,856 − 1,524,850 = �

17. 9,354,854 − 8,215,854 = �

Level G

Chapter 1 Lesson 4

1. An airplane weighs 169,780 pounds,

Word Problems

2. A blue whale weighs 313,765 pounds. A

including its cargo. If the plane weighs

gray whale weighs 67,842 pounds. How

125,805 pounds by itself, how much

much more does the blue whale weigh?

does the cargo weigh?

3. A metro station sold 173,506 ride passes

4. This year, the country of China has

this year. If 142,779 ride passes were

1,439,323,776 people and the country

used, how many ride passes were not

of India has 1,380,004,385 people.

used?

How many more people does China have than India?

Level G

Name

Chapter 1 Lesson 5

Date

Read each word problem and then solve.

There are 233,456 species of plants

A bookstore rented 45,382 books in

in a nearby forest. Of all of the plants,

2015. In 2016, they rented 75,683 books.

12,356 are types of trees. How many

How many more books did they rent in

plant species are not trees?

2016 than 2015?

A circus sold 345,683,213 tickets in one

An aquarium made $342,384,281 over

year. If they sold 23,458,213 in the first

two years. If they spent $35,289,182

six months of the year, how much did

taking care of the animals, what was the

they sell in the second half of the year?

profit made by the aquarium?

A factory built 1,234,382 cars in four

A small town has 4,283,291 people

months. It built an additional 34,523

living in it. If 345,223 people move

cars the following month. How many

into the town, what will be the total

cars has the factory built so far?

population of the town?

Level G

Chapter 1 Lesson 5

1. The zoo took in $439,760 in donations

Word Problems

2. Last year, the zoo spent $765,299

and $1,230,175 in ticket sales so far this

feeding and caring for its animals and

year. How much money has the zoo

$390,235 on taking care of the zoo and

taken in?

the exhibits. How much did the zoo spend in all?

4. There were 17,685 cars that travelled

spent $832,900 making the cereal last

on a highway last week. This week,

month and sold it for $1,389,664. How

there is construction on the highway

much money did they make last month?

and only 4,305 cars travelled on it.

3. A company makes boxes of cereal. They

How many less cars travelled on it this week compared to last week?

Level G

Name

Chapter 1 Lesson 6

Date

Find the missing addend. 1.

958 = 121 +

23,364 = 5,682 +

658 =

+ 45 + 85

3,652 =

+ 1,025 = 2,358

+ 256 = 365

+ 52,036 = 80,253

+ 23,560 = 60,356

26,356 +

+ 235

= 85,635

+ 5,361

+ 568

10. 1,568 +

= 4,568

Find the missing number.

13. 15,365 =

15.

12. 2,365 = 7,682 �

� 3,528

+ 25 + 652 = 2,358

17. 236 + 157 �

19. 15,635 +

= 23,052

14. 7,568 =

� 854

16.

� 1,235 = 8,652

18.

+ 71,568 = 102,586

20. 92 + 15 �

11. 2,535 = 5,023 �

Level G

Chapter 1 Lesson 6

1. Daniel and his brothers are finding rocks

Word Problems

2. Two schools were collecting canned

for their rock garden. Daniel found 29, his

goods to donate. Mark's school

older brother Timothy found 37, and his

collected 5,375. Together the schools

younger brother Dennis just dumped his

collected 8,219. How many canned

on the pile. While designing the garden,

goods did the other school collect.

they found that there were 98 rocks. How many did Dennis find?

3. Adam bought a package of 3,500 beads,

4. This year, Jacob's town has a

but there was a hole in the bag. When

population of 13,769. Last year, the

he noticed, he counted them and found

population was 11,914. How many

that there were only 2,782 beads left.

people did his town gain since last

How many of the beads spilled?

year?

Level G

Name

Chapter 1 Lesson 7

Date

834 � 356 + 837 =

765 � 123 + 236 =

675 + 523 � 235 =

(1,236 + 365) � 895 =

(382 + 281 + 15) � 235 =

(1,236 � 102) � 205 =

8,281 � (345 + 1,289) =

10,895 + (229 � 145) =

8,281 � 1,238 + 17 =

10. 75,563 � 3,568 + 156 =

11. (290 � 15 � 78) + 321 =

12. (1,852 � 256 + 751) + 17 =

13. 34,582 �21,289 + 278 =

14. 11,854 � 3,568 + 512 =

Solve using the order of operations. Show your work. Remember: solve all operations in parentheses first.

Level G

Chapter 1 Lesson 7

1. Alan had 6 frogs in his pond and found

2. Mr. Johnson had $10,230 in his bank

2 more to add in. 4 frogs then jumped

account. He bought groceries for $158

away. His brother found 1 of them and

and gas for $62. He then put $1,397

added it back in. How many frogs were

into his bank account. How much does

now in the pond?

he have there now?

3. The school cafeteria prepared 759

Word Problems

4. A truck company made $4,903,923

lunches. It sent 190 to the high

last year. They paid $2,762,928 to the

school and 237 to the middle school.

drivers and $1,483,755 for the trucks

How many lunches were left for the

and gas. How much money was left

elementary school?

after paying all their bills?

Level G

Name

Chapter 1 Lesson 8

Date

Complete the chart. Standard Form 5,132,568,236

2,536,258

356,856

Word Form

Expanded Form

Compare using < , >, or = . 235,568,299

8. 5,568,235

999,885

9. 325,568

565,230

Find the missing number. 10. 3,289,189 − 328,198 =

11. 4,583,928 −

= 3,256,236

Solve using order of operations. 12. (3,345 − 1,234) + 456 =

13. 7,829 − (345 + 2,389) =

7. 235,568,235

Level G

Chapter 1 Lesson 8

Word Problems

1. A store sold $100,829,035 in groceries

2. A large pool holds 240,500 gallons, but

and $190,994 in clothes last year. Did it

needs to be drained for cleaning. After

sell more groceries or clothes?

one day, there was 123,955 gallons left. How many gallons have been drained so far?

4. Terry did some research and found

visitors to National Parks each day in

that it would take forty-eight billion,

July and 43,297 campers. How many

six hundred ninety-two million, one

people are in the parks in all?

hundred eighty-three thousand, forty

3. On average, there are 574,293 daytime

drops of water to fill a swimming pool. What is this number in standard form?

Chapter Chapter22 NYS NGNYS Standards NG Standards NY-3.NBT.2 NY-3.OA.8 NY-3.NBT.2 NY-3.OA.8 NY-3.OA.3 NY-4.NBT.5 NY-3.OA.3 NY-4.NBT.5 NY-3.OA.4 NY-4.NBT.6 NY-3.OA.4 NY-4.NBT.6 NY-3.OA.5 NY-5.OA.1 NY-3.OA.5 NY-5.OA.1 NY-3.OA.6 NY-5.NBT.5 NY-3.OA.6 NY-5.NBT.5 NY-3.OA.7 NY-6.EE.1 NY-3.OA.7 NY-6.EE.1

CC Standards CC Standards 3.NBT.A.2 3.NBT.A.23.OA.D.83.OA.D.8 3.OA.A.3 3.OA.A.3 4.NBT.B.5 4.NBT.B.5 3.OA.A.4 3.OA.A.4 4.NBT.B.6 4.NBT.B.6 3.OA.B.53.OA.B.5 5.OA.A.15.OA.A.1 3.OA.B.63.OA.B.6 5.NBT.B.5 5.NBT.B.5 3.OA.C.73.OA.C.7 6.EE.A.16.EE.A.1

In Chapter 2 we will review previous learning of In Chapter 2 we will review previous learning of

Multiplication and Multiplication and Expand on that Learning Expand on that Learning

We will practice finding missing factors, evaluating expressions andpractice applyingfinding the order of operations to We will missing factors, evaluating problems that include expressions andmultiplication. applying the order of operations to problems that include multiplication. • Review: Whole numbers Review: Whole numbers • Basic •fact practice • Basic fact practice • Multiply multi-digit numbers • Multiply multi-digit numbers • Multiply large numbers • Multiplyword largeproblems numbers • Multiplication • Multiplication word problems • Exponents © Lighthouse Curriculum. Copying strictly prohibited.

• Exponents • Missing factors and evaluating expressions Missing factors and evaluating expressions • Order•of operations • Order of operations • Review • Review Students will gain real world understanding through word problems expressions. Students and will evaluating gain real world understanding through word problems and evaluating expressions. Students will continue to expand their understanding of the order of operations as theytoapply to more complex Students will continue expand their understanding of mathematical processes including exponents. the order of operations as they apply to more complex mathematical processes including exponents.

31 31

Level G

Name

Chapter 2 Lesson 1

Date

Write the first six multiples of each factor. 1.

12:

, ,

4 × 5

3 × 8

6 × 5

7 × 4

12 × 2

10.

7 × 8

11.

6 × 3

12.

4 × 4

13.

5 × 7

14.

8 × 5

15.

9 × 6

16.

4 × 0

17.

7 × 2

18.

8 × 8

19.

3 × 9

20.

11 × 4

21.

3 × 7

22.

12 × 4

23.

12 × 3

24.

6 × 4

25.

3 × 5

26.

3 × 4

27.

8 × 6

28.

8 × 4

29.

2 × 4

Multiply.

Level G

Chapter 2 Lesson 1

1. In the cafeteria, there are 12 tables that

Word Problems

2. At the amusement park, 6 people can

can seat 8 students each. How many

ride on each roller coaster car. Vincent

students can eat in the cafeteria at a

counts by multiples of six to see how

time?

many people can ride at a time. If there are 9 cars, what numbers does Vincent say?

4. Mr. Jones puts his students in 8 groups

puts 6 plants in each row. How many

of 4 students. How many students does

tomatoes did Jerry plant?

Mr. Jones have?

3. Jerry plants 3 rows of tomatoes and

Level G

Name

Chapter 2 Lesson 2

Date

5,236 × 2

3,785 × 4

6,362 × 8

8,021 × 5

5,852 × 2

36 × 25

37 × 85

67 × 17

58 × 26

10.

36 × 85

11.

215 × 17

12.

868 × 12

13.

856 × 37

14.

705 × 15

15.

725 × 26

16.

2,785 × 26

17.

5,365 × 71

18.

7,525 × 11

19.

1,258 × 91

20.

2,358 × 23

21.

2,568 × 46

22.

1,284 × 28

23.

5,253 × 35

24.

3,674 × 22

25.

1,587 × 32

Multiply.

Level G

Chapter 2 Lesson 2

1. At the amusement park, each bumper

Word Problems

2. Each run of the roller coaster can allow

car can seat 2 people. If 1,092 bumper

24 people to ride. If the roller coaster

car rides were taken, how many people

runs 326 times today, how many

were able to ride the bumper car?

people were able to ride the roller coaster?

3. The log ride can seat 16 people. How

4. If the ferris wheel has 2,296 riders a

many people could ride the log ride

day, how many riders does it have after

today if it ran 173 times?

181 days?

Level G

Name

Chapter 2 Lesson 3

Date

12,524 × 2

13,254 × 5

45,362 × 4

11,035 × 3

15,354 × 2

26,350 × 5

12,253 × 6

10,102 × 8

15,252 × 7

10.

14,524 × 8

11.

45,234 × 13

12.

45,234 × 17

13.

24,538 × 22

14.

45,241 × 15

15.

23,254 × 26

16.

21,785 × 23

17.

51,452 × 22

18.

71,112 × 31

19.

14,248 × 91

20.

2,458 × 35

21.

2,458 × 456

22.

1,347 × 258

23.

5,854 × 345

24.

3,542 × 212

25.

1,278 × 342

Multiply.

Level G

Chapter 2 Lesson 3

1. The average cost of a new home is

Word Problems

2. The school buses bring 17,209 students

$458,927. If a builder built 47 new

to school every day. How many bus

homes, how much did they cost?

rides to school is this over the school year (180 days)?

3. A waterpark sells 328,954 tickets a

4. There are 86,400 seconds in a day.

month. How many tickets will it sell in 5

How many seconds are in a year (365

months?

days)?

Level G

Chapter 2 Lesson 4

Name Date

Read and Understand - Read the problem and consider what it being asked. Plan - Make a plan to solve the problem. Solve - Work out the problem and check that your answer is reasonable by estimating the answer.

Solve using the problem solving strategy. 1.

Every hour, a water bottle factory can produce 345 water bottles. How many bottles of water can it produce in 24 hours?

It cost $3,456 to buy a brand new lawn mower at Home Market. If Home Market sells 75 lawn mowers, how much money would they make?

A hotel has 4,389 rooms. It cost $450 to rent one room for the night. If each room in the

hotel is rented for the night, how much money would the hotel make in one day?

A drive from one city in Texas to another city in Texas takes 14 hours. If they drive 65 miles per hour, how many total miles is the drive?

There are 123 individual sheets of paper in a pack of paper. If there are a total of 1,234 packs of paper, how many individual sheets are there?

Level G

Chapter 2 Lesson 4

Word Problems

1. Samuel reads 20 minutes in the

2. If Samuel reads and average of 27 pages

morning and 15 minutes in the

a day, how many pages would he read

afternoon every day. How many

in 45 days?

minutes would he read in a year (365 days)?

4. The water park sold 125 popsicles for

a person. Parking is $5 a car. If today

$2 each and 76 bags of popcorn for $3

the water park had 378 people visit and

each. How much did they collect on

parked 99 cars, how much money did

the food sold today?

3. Admission to the water park costs $12

they collect?

Level G

Chapter 2 Lesson 5

Name Date

Write in exponent form. 1.

3×3×3=

4×4×4=

10 × 10 × 10 =

8×8×8×8=

2×2×2×2×2=

6×6×6×6×6=

12 × 12 × 12 =

21 × 21 × 21 × 21 =

3×3×3×3×3×3=

10. 42 =

11.

123 =

12. 45 =

13.

26 =

14. 82 =

15.

16.

1023 =

17.

18. 216 =

Write in factor form.

117 =

125 =

Find the value. 19.

20. 43 =

21.

22. 32 + 53 =

23. 83 � 23 =

24. 123 + 43 =

25. 1153 =

26. 254 =

27.

52 =

64 =

113 =

Level G

Chapter 2 Lesson 5

Word Problems

1. James has a cube that measures 16

2. Matthew challenged himself to read

inches on each side. How can he write

35 minutes this weekend. What is this

the volume of the cube in exponential

number in factor form?

form?

3. Benjamin has two cubes with sides

4. Benjamin has two cube containers.

measuring 3 inches and 8 inches. What

Their sides measure 4 inches and 9

is the volume of both cubes together?

inches. If he puts the smaller container inside the larger one and then pours water around the outside of the smaller one until the larger one is full, how many cubic inches of water will he need?

Level G

Name

Chapter 2 Lesson 6

Date

Find the missing factors. 1. 4. 7.

× 5 = 20

= 96

× 10 = 110

11.

12 ×

10. 13.

= 36

6×

16.

= 66 × 5 = 30

= 28

× 6 = 42

= 18

× 5 = 50

12.

= 28

15.

× 8 = 56

18.

7×

2×

14. 4 × 17.

4×

= 16 × 8 = 48

3×

= 27 × 7 = 63

12 ×

= 72 × 7 = 84

Evaluate the expression and solve for the variable. 5 • x = 45

20. 3 • a = 36

21.

9 • b = 72

22. a • 8 = 16

23. b • 6 = 42

24. c • 12 = 48

25. 7 • x = 63

26. 8 • v = 80

28. a • 6 = 24

29. d • 3 = 27

30. x • 7 = 49

27.

19.

b • 9 = 99

Level G

Chapter 2 Lesson 6

Word Problems

1. In Jeremy's class, there are 28 students.

2. Noah planted 24 rose bushes in 8 rows.

His teacher put the student desks in

How many rose bushes are in each

groups of 4. How many groups are

row?

there?

4. Each cat eats 6 cans of food a week. If

eats 2 each day, how many days did it

Patrick fed his cats 30 cans of food this

take to use them up?

week, how many cats does he have?

3. Andrew prepared 16 snack bags. If he

Level G

Name

Chapter 2 Lesson 7

Date

P - Parentheses E - Exponents M/A - Multiplication and Division Hint: We can use PEMDAS to remember the

A/S - Addition and Subtraction

sequence in which we do the order of operations.

(8 + 3) � (2 ∙ 2) =

17 + 21 � 3 ∙ 5 =

12 ∙ 7 � 11 =

4. (21 ∙ 4) + (31 � 2) =

145 � 5 ∙ (3 + 3) =

(256 + 51) � 15 ∙ 3 =

(3 ∙ 9) + 46 � (4 ∙ 3) =

37 + 9 ∙ (11 ∙ 4) =

652 � 5 ∙ 82 =

10. (1 + 26) + (8 ∙ 7) � 3 =

11. (7 ∙ 12) � (3 ∙ 3 ) + 15 =

12. 9,356 � 123 ∙ 5 =

13. 43 ∙ (50 � 15) =

14. 6 ∙ 12 + 33 � 22 =

15. (52 ∙ 23) + (32 � 2) =

Use the order of operations to solve. Show your work.

Level G

Chapter 2 Lesson 7

1. Mark puts his crayons in 8 rows of

Word Problems

2. Alan planted 8 rosebushes in front

6. Jack puts his crayons in 3 rows of

of his house and 5 behind his house.

7. How many crayons do they have

David planted his rosebushes in 3 rows

together?

of 4. How many more rosebushes does Alan have than David?

4. Nathan stacked his quarters in piles of

sale. He wants to make 84. He can fit

4. He then made a 5 by 7 array of these

two cookie sheets in the oven at a time

piles. His dog ran into the table and

with one holding 4 cookies and the

knocked 13 quarters on the floor. How

other holding 8 cookies. Using these

many quarters are still left?

3. Stephen is making cookies for a bake

cookie sheets, he has made 5 batches so far. How many more cookies does he need to make?

Level G

Name

Chapter 2 Lesson 8

Date

Write the first six multiples of each factor. 1.

11:

12:

Multiply. 5.

13,524 × 2

21,023 × 5

45,678 × 3

12,758 × 4

13,358 × 2

10.

54,675 × 25

11.

12,314 × 16

12.

58,568 × 18

13.

32,868 × 17

14.

14,547 × 6

Write in exponent form. 15.

16.

3×3×3=

17.

10 × 10 × 10 =

5×5×5×5=

18. 93 =

19.

20. 74 + 84 =

124 =

Write in factor form and the find the value. =

Find the missing variable. 21.

5 • x = 25 x=

22. a • 12 = 24

23. 8 • x = 56

24. 4 • b = 12

Solve using the order of operations. Show your work. 25. 500 � 3 ∙ 42 =

26. (7 ∙ 12) + 32 � (4 ∙ 2) =

27.

78 + 14 ∙ (12 ∙ 5) =

Level G

Chapter 2 Lesson 8

Word Problems

1. There are 27 students in class. Each

2. At a restaurant, 7 chocolate chips are

student needs 2 sheets of paper. How

put into each pancake. If 364 pancakes

many sheets of paper are used?

were sold this morning, how many chocolate chips were needed?

3. A factory loads 79,437 cans on each

4. If there are 1,440 minutes in a day,

truck. If it loaded 14 trucks today, how

how many minutes are in a year (365

many cans were loaded in all?

days)?

Chapter 3 Chapter 3 NYS NG Standards NY-3.OA.4 NY-4.NBT.6 NYS NG Standards NY-3.OA.5 NY-5.OA.1 NY-3.OA.4 NY-5.NBT.6 NY-4.NBT.6 NY-3.OA.6 NY-3.OA.5 NY-6.NS.2 NY-5.OA.1 NY-3.OA.7 NY-3.OA.6 NY-5.NBT.6 NY-3.OA.8 NY-3.OA.7 NY-6.NS.2 NY-3.OA.8

CC Standards 3.OA.A.4 4.NBT.B.6 CC Standards 3.OA.B.5 5.OA.A.1 3.OA.A.4 5.NBT.B.6 4.NBT.B.6 3.OA.B.6 3.OA.B.5 6.NS.B.2 5.OA.A.1 3.OA.C.7 3.OA.B.6 5.NBT.B.6 3.OA.D.8 3.OA.C.7 6.NS.B.2 3.OA.D.8

48 48

In Chapter 3 we will review

by 2 and 3-digit divisors. We will also explore division's role in the order of operations. We will practice our facts and use long division to divide by 2 and 3-digit divisors. We will also explore division's • Basic fact practice role in the order of operations. • We will use our multiplication facts to do simple division. • Basic fact practice • Divide by 2 and• 3We digit willdivisors use our multiplication facts to do simple • We will divide large numbers up to 5 digits by division. divisors with 2 and 3 digits. • Divide by 2 and 3 digit divisors • Explore division word problems • We will divide large numbers up to 5 digits by • We will determine a word problem includes divisorsifwith 2 and 3 digits. the remainder or just the quotient. • Explore division word problems • Divide by powers of will 10 determine if a word problem includes • We • We will findthe theremainder pattern used to quickly divide or just the quotient. numbers by multiples of ten. • Divide by powers of 10 • Find missing divisors andfind evaluate expressions • We will the pattern used to quickly divide • We will usenumbers our understanding of of fact families to by multiples ten. find missing pieces of equations. • Find missing divisors and evaluate expressions • Review division• in the order We will use of ouroperations understanding of fact families to • We will recognize that multiplication and division find missing pieces of equations. are on the same level in the order of operations • Review division in the order of operations and come before addition and subtraction. • We will recognize that multiplication and division are on the same level in the order of operations and come before addition and subtraction.

Division Operations of In Chapter 3 we will review All Whole Numbers Division Operations of All Whole Numbers We will practice our facts and use long division to divide

Level G

Name

Chapter 3 Lesson 1

Date

Divide. 1.

5 25

9 27

6 30

2 16

6 42

7 63

8 80

4 36

10. 6 18

11.

12 96

12. 11 22

13.

4 32

14. 5 45

15.

16.

3 15

17.

2 18

18. 4 8

19.

9 54

20. 8 8

21.

12 48

22. 7 49

23. 7 21

24. 8 32

25. 2 10

12 72

5 35

Level G

Chapter 3 Lesson 1

1. Paul has 64 seats at his restaurant. If

Word Problems

2. Henry's mom made 28 pancakes. If she

each table has 8 seats, how many tables

gives 4 pancakes to each person, how

does Paul's restaurant have?

many people will get pancakes?

3. If there are 18 shoes on a rug, how many pairs of shoes can they make?

4. There are 36 seats in the art room. If they are arranged into tables of 9, how

many tables are there?

Level G

Name

Chapter 3 Lesson 2

Date

Divide.

R 2.

2 225

R 9.

12 3,278

R 7.

17 546

R 11. 14 6,651

22 365

R 8.

18 2,775

R 10. 11 5,659

R 4.

5 968

R 6.

13 365

8 356

41 4,326

R 12. 51 4,255

Level G

Chapter 3 Lesson 2

1. Brian has 450 eggs and puts them in

Word Problems

2. There are 7,549 cookies made at a

cartons of 18. How many cartons can he

factory each minute. If the factory

fill? How many eggs are left over?

places 22 cookies in each box, how many boxes can be made each minute? How many cookies are left over?

4. The school district ordered 5,000

This hour, $6,643 was collected. How

pencils. It divided these up into

many people came to the fair this hour?

bundles of 75 pencils per classroom.

3. It costs $13 a person to get into the fair.

How many bundles can be made? How many pencils will be left over?

Level G

Name

Chapter 3 Lesson 3

Date

Divide.

R 2.

132 536

103 52,623

R 6.

356 4,956

R 7.

225 657

R 5.

125 2,856

212 667

112 8,865

R 8.

235 35,652

R 9.

214 35,651

Level G

Chapter 3 Lesson 3

Word Problems

1. John has 2,500 ml of water. He is filling

2. A plane can hold 9,500 pounds of

up water bottles that can each hold 257

cargo. If the cargo being carried are

ml of water. How many water bottles

boxes weighing 159 pounds each,

can he completely fill? How many ml

how many boxes can be loaded on the

will be left over?

plane?

3. Arthur wants to read 6,565 pages during

4. Bruce's school is getting new lunch

summer vacation. If his plan is to read

tables. If they have a budget of $18,900

735 pages a week, how many weeks will

and the lunch tables cost $914 each,

it take him to reach his goal?

how many new tables can they get? How much money will be left over?

Level G

Solve using the problem solving strategy. 1.

Name

Chapter 3 Lesson 4

A factory can produce 34,576 water bottles in an 8 hour day. If the factory produces the same amount of water bottles an hour,

Date

» Read and Understand Read the problem and consider what it being asked.

how many water bottles can they produce

» » Plan

in two hours?

Make a plan to solve the problem » » » Solve Work out the problem and check that your answer is reasonable by estimating the answer.

A parking garage can hold 17,339 cars. The parking garage has 7 floors. If each floor holds

the same amount of cars, how many cars can fit on the first floor?

A large bakery sold 2,347 cookies. Almost all of the customers bought 12 cookies except for one who bought less than 12. How many cookies did the last customer buy?

A company sells napkins. It packages the napkins in packs of 135. If they have a total of 31,719 napkins, how many full packages can they make?

Level G

Chapter 3 Lesson 4

1. Justin ran 7,920 feet in 15 minutes. If he

Word Problems

2. A truck can hold 13,760 pounds. If

ran at a constant pace, how many feet

each container being loaded weighs

did he run per minute?

682 pounds, how many containers can be loaded?

3. A pizzeria makes 24,272 ounces of

4. The animal shelter needs 758 pounds

pizza dough a week. If each pizza uses

of dog food a month. If they buy the

22 ounces of pizza dough, how many

dog food in 35 pound bags, how many

pizzas can they make each week?

bags would they need to buy to feed the dogs for a month?

Level G

Name

Chapter 3 Lesson 5

Date

Solve using the division with zeros. 1.

2 16,000

7 4,900

6 120

30 9,000

150 30,000

22 6,600

13 65,000

21 210

30 12,000

10. 440 88,000

11.

16 6,400

12. 12 14,400

Find the missing divisor or dividend. 2,500 ÷

15.

17.

19.

21.

23.

= 50

÷ 70 = 30

480 ÷

÷ 3 = 900

1,800 ÷

÷ 5 = 200

14. 21,000 ÷

16.

÷ 60 = 40

18. 320 ÷

20.

÷ 20 = 60

22. 8,100 ÷

24.

= 700

13.

÷ 4 = 700

Level G

Chapter 3 Lesson 5

1. The city wants to have one playground

Word Problems

2. Another city wants a grocery store for

for every 20,000 people. If the

every 30,000 people. If that city has

population of the city is about 140,000,

a population of 180,000, how many

how many playgrounds should they

grocery stores should they have?

have?

3. The school needs to hire one bus driver for every 90 students in the district. If

repair shop sold $4,000 in tires today,

there are 3,600 students in the district,

how many tires did they sell?

how many bus drivers does the school need?

4. Each new tire costs $80. If the car

Level G

Name

Chapter 3 Lesson 6

Date

Find the missing divisor or dividend. 6÷

44 ÷

18 ÷

11.

13.

84 ÷

÷ 12 = 3

÷5=6

÷2=8

21 ÷

19.

21.

÷8=5

15.

17.

÷4=6

99 ÷

60 ÷

÷9=6

36 ÷

10. 28 ÷

12.

14. 14 ÷

16.

18. 144 ÷

20.

22. 80 ÷

÷7=3

÷5=3

÷ 3 = 10

= 144

÷9=3

Level G

Chapter 3 Lesson 6

Word Problems

1. The chef has 250 cherry tomatoes. If

2. There are 24 students in the class. If

he makes 50 salads and puts the same

they are put into 8 equal groups, how

number of tomatoes on each salad, how

many students are in each group?

many does he put on each salad?

3. Carl's family picked 35 pounds of

4. Michael is setting up the art room for

blueberries. If each of the 7 buckets

class. He divides 84 markers evenly

weighed the same, how much did each

among 7 bins. How many markers are

bucket of blueberries weigh?

in each bin?

Level G

Name

Chapter 3 Lesson 7

Date

(4 � 1)2 + 32 • 5 =

42 • (82 � 3) =

(3 • 52 ÷ 15) � (5 � 22) =

(7 • 8 � 4) ÷ (6 � 2) =

(14 • 22 + 23) � 25 ÷ 4=

(82 • 2) + 15 ÷ 5 =

2 • 5 + (14 � 6) ÷ 22 � 1 =

53 ÷ (22 + 1) =

10 ÷ (2 • 3 + 4) =

10. 7 + 80 ÷ 10 • 2 =

Use the order of operations to solve. Show your work.

Level G

Chapter 3 Lesson 7

Word Problems

1. The flooring store has 198 ft² of blue

2. The flooring store sold an 8 foot by 9

carpet. If Frank's dad wanted to carpet

foot piece of vinyl floor and a piece that

the top of the stairs which was shaped

was square with a side length of 7 feet.

like a square with a side length of 9 feet,

If there were 14 ft² left over after this,

how many feet would be left to carpet

how many square feet did the flooring

the stairs if he wanted the carpet to be 3

store have to start with?

feet wide?

3. Aaron's family wants to carpet two

4. Jason's family bought 18 yd² of carpet

rooms. They are both 11 feet wide. One

at $24 a square yard. They then used a

is 9 feet long and one is 13 feet long.

$5 off coupon. When they took it home,

There is also an entranceway that is 3

they found that it wasn't the right color

feet on each side. How much carpet will

and the store gave them half off their

they need?

bill. How much did they end up paying for the carpet?

Level G

Name

Chapter 3 Lesson 8

Date

Solve using the division with zeros trick. 1.

2 24,000

8 1,600

60 1,200

30 120

Solve. R 5.

R 6.

25 635

R 7.

352 9,523

168 52,658

Find the missing divisor or dividend. 3,000 ÷

= 60

4,800 ÷

= 120

10.

÷ 90 = 20

11.

÷ 80 = 200

12.

÷ 5 = 70

13.

÷ 7 = 300

Use the order of operations to solve each expression. 14. (42 - 35)2 ÷ (49 ÷ 7) =

15.

60 + 27 � 72 =

16.

(4 + 5)2 ÷ 3 � 1 =

Level G

Chapter 3 Lesson 8

1. Jordan calculated that his school year is

Word Problems

2. The art teacher had a box of glue

81,000 minutes long. He goes to school

bottles. He passed 3 bottles out to each

for 180 days, how long, in minutes, is

of the 6 art groups and the box was

each school day?

empty. How many bottles of glue were in the box to start with?

3. There were 108 students in the

4. A factory processed 91,275 ounces of

lunchroom with 9 students sitting at

green beans each hour. If the green

each table. How many tables of students

beans are then put in 16 ounce cans,

were there?

how many cans of green beans can be made per hour? How many ounces of green beans are left over?

Chapter 4 NYS NG Standards NY-3.NF.3 NY-4.NF.2 NY-4.NF.4 NY-5.NF.1 NY-5.NF.2

NY-5.NF.3 NY-5.NF.6 NY-5.NF.7 NY-6.NS.1 NY-7.NS.2

CC Standards 3.NF.A.3 4.NF.A.2 4.NF.B.4 4.MD.B.4 5.NF.A.1 5.NF.A.2

5.NF.B.3 5.NF.B.4 5.NF.B.6 5.NF.B.7 6.NS.A.1 7.NS.A.2

In Chapter 4 we will review In Chapter 4 we will review

Operations with Fractions Operations with Fractions We will practice adding, subtracting, multiplying and dividing fractions including the use multiplying of mixed numbers. We We will practice adding, subtracting, and will also use theincluding order of the operations to solve equations dividing fractions use of mixed numbers. Wewith willfractions. also use the order of operations to solve equations with fractions. Rewriting fractions • We will practice simplifying and rewriting proper Rewriting fractions fractions and improper fractions. • We will practice simplifying and rewriting proper fractions and improper fractions. Order & compare • We will use comparison symbols to determine which Order & compare fractions larger using GCF. to determine which • We will useare comparison symbols fractions are larger using GCF. Addition

• We will subtract fractions with other fractions and mixed Subtraction numbers with mixed numbers. • We will subtract fractions with other fractions and mixed numbers with mixed numbers. Multiplication • We will multiply fractions with whole numbers, fractions Multiplication with fractions andwith mixed numbers with fractions mixed • We willother multiply fractions whole numbers, numbers. with other fractions and mixed numbers with mixed numbers. Division • We will multiply fractions with whole numbers, fractions Division with fractions andwith mixed numbers with fractions mixed • We willother multiply fractions whole numbers, numbers. with other fractions and mixed numbers with mixed numbers. Order of operations • We will use what we have learned about the order of Order of operations operations to solve equations with fractions. • We will use what we have learned about the order of operations to solve equations with fractions. 67

67 67

• We will add fractions with other fractions and mixed Addition numbers mixed numbers. • We will addwith fractions with other fractions and mixed numbers with mixed numbers. Subtraction

Level G

Name

Chapter 4 Lesson 1

Date

Simplify each fraction. 1.

4 = 16

8 = 12

12 = 24

36 = 60

2 = 18

25 = 45

14 = 28

21 = 63

9 = 12

10.

5 = 15

11.

57 = 5

12.

13.

39 = 6

14.

15.

28 = 12

16.

2 = 5

3 = 8

1 = 4

Turn the improper fractions into a mixed number or the mixed number into an improper fractions and simplify.

Level G

Chapter 4 Lesson 1

1. Daniel is making pancakes and needs 2 13 cups of flour but only has a 13 cup

Word Problems

2. After lunch, 2 of a pizza was left. Write 8 this fraction in simplest form.

measuring cup. Convert 2 13 cups to

an improper fraction so he knows how many times to use his measuring cup.

3. The art teacher cut paper into 1 of a 4 © Lighthouse Curriculum. Copying strictly prohibited.

sheet for an art project. After classes, 23 4 were left. Write this fraction as a mixed number.

15 students chose to free read during 21

choice time. Write this fraction in simplest form.

Level G

Name

Chapter 4 Lesson 2

Date

Rewrite each fraction with a common denominator. Then, compare using the symbols >, <, = 1.

3 7

1 2

1 3

4 12

9 12

2 10

7 10

3 8

7 9

4 8

1 8

2 16

1 6

5 9

3 8

2 3

2 5

3 4

10.

3 4

3 8

1 2

11.

2 3

1 6

5 18

12.

5 6

2 8

6 12

13.

5 7

3 14

1 4

Rewrite each fraction with a common denominator. Then, place them in order from least to greatest.

Level G

Chapter 4 Lesson 2

1. Thomas spent 2 of an hour studying 5

Michael uses 12 of a cup of milk. Terry 16

studying math?

used more milk?

3. Samuel and his two brothers are making brownies to test how much chocolate chips makes them taste the best. They

2. Michael and Terry are making cookies.

math. Jeffrey spent 38 of an hour

studying math. Who spent more time

7 make three batches and put in 12 ,

5 , and 23 cups of chocolate chips. 6

Rewrite these fractions with a common denominator and put them in order from least to greatest.

Word Problems

9 uses 12 of a cup of milk. Which boy

4. Roy likes to eat granola for a snack after school. Over three days he ate 34 , 7 , and 12 cup. Rewrite these fractions 8

with a common denominator and then order them from greatest to least.

Level G

Name

Chapter 4 Lesson 3

Date

Solve. If fractions are improper, write as mixed numbers. Simplify to the lowest form. 3 10 2 5

3 7

4 9

2 13 18

3 5

5 9

1 8

7 10

1 3 4

2 5

3 4

1 3

3 5

15 20

5 7

2 1 2

Level G

Chapter 4 Lesson 3

1. Charles walked 3 of a mile to school 10 to meet with some friends and then

another 45 of a mile to the park to play

Word Problems

2. Terry is making breakfast for his family. He used 16 of the egg carton to

make pancakes and 23 of the egg carton

ball. How far did he walk in all? Write

to make scrambled eggs. What fraction

your answer in simplest form.

of the egg carton did he use in all? Write your answer in simplest form.

3. Kevin slept 9 1 hours last night, and 5

8 34 hours the night before. How many

4 12 cups of cereal and 1 13 cups of

hours did Kevin sleep on both nights

nuts. How many cups did he use in all?

combined? Write your answer in

Write your answer in simplest form.

simplest form.

4. In making a trail mix, Stephen used

Level G

Name

Chapter 4 Lesson 4

Date

Solve. If fractions are improper, write as mixed numbers. Simplify to the lowest form. 2 3 1 3

�

21 28

2 3

2 1 7

3 4

�

1 4

1 2

7 8

2 3 4

3 8

�

1 3

�

4 12

�

3 4

�

1 3

�

1 6

4 9

2 1 3

Level G

Chapter 4 Lesson 4

1. Walter had 4 cup of chocolate chips. He 5 used 13 cup to make chocolate muffins.

Word Problems

2. James's hike is 7 of a mile long. After 8 3 of a mile, he stops to take a drink 5

How much does he have left? Write your

break. How much longer is his hike?

answer in simplest form.

Write your answer in simplest form.

4. Russell lives 5 miles from school. He

much does he have left? Write your

walk his bike across. If the bridge is

3. Jason made 8 1 cups of trail mix. He 2 packed 5 34 cups for camping. How

bikes there, but stops by the bridge to

answer in simplest form.

3 23 miles from his house, how much

further does he have to get to school? Write your answer in simplest form.

Level G

Name

Chapter 4 Lesson 5

Date

Solve. If fractions are improper, write as mixed numbers. Simplify to the lowest form. 2 �4= 5

2 1 � = 3 2

10.

2 1 � = 5 6

4 1 � 2 = 6 7

11.

3 = 8

5 1 � = 7 6

6�

2 3 � = 7 4

3 2 � 7 = 5 3

12.

4�

7 = 8

4 1 � = 6 3

1 5 � = 5 6

6 3 � 2 = 12 9

Level G

Chapter 4 Lesson 5

1. There is a wooded nature area at the park that measures 23 of a mile by 14 of a mile. What is the area of this wooded area? Write your answer in simplest

Word Problems

2. Each package of paper weighs 5 1 2

pounds. How much would 3 packages of paper weigh? Write your answer in simplest form.

form.

3. For a project, Zachary needs a board that measures 3 14 feet by 4 56 feet.

What is the area of this board? Write your answer in simplest form.

4. Thomas's paper measured 8 1 inches 2 by 11 inches. What is the area of

Thomas's paper? Write your answer in simplest form.

Level G

Name

Chapter 4 Lesson 6

Date

Solve. If fractions are improper, write as mixed numbers. Simplify to the lowest form. 3 �2= 8

4 1 � = 5 2

10.

3 2 � = 7 6

1 1 � 3 = 8 4

11.

1 = 8

6 1 � = 8 3

5�

5 1 � = 7 7

1 1 � 2 = 5 3

12.

6�

2 = 5

8 1 � = 9 4

2 8 � = 7 12

3 2 � 2 = 12 6

Level G

Chapter 4 Lesson 6

Word Problems

1. Anthony has been putting chocolate

2. Anthony also put dried banana chips

chips into bags. He puts 2 14 ounces

into bags that each hold 1 18 ounces.

ounces, what fraction of a bag is that?

ounces left. How many bags of dried

into each bag. If he is left with 1 12

Write your answer in simplest form.

He runs out of bags when he has 3 34

banana chips does he have left? Write your answer as a mixed number in simplest form.

4. Kevin checked and saw that there is

How many bags can he make? Write

If each batch of popcorn takes 14 cup

3. Bruce has 2 1 pounds of peanuts. He 2

divides them into 13 of a pound bags.

only 78 of a cup of popcorn kernels left.

your answer as a mixed number in

of popcorn kernels, how many batches

simplest form.

can Kevin make?

Level G

Name

Chapter 4 Lesson 7

Date

(6 • 5 ) + (8 ÷ 1 ) = 6 4

( 1 + 4 )•5+2= 3 6

12 • 3 + ( 1 • 6) = 4 3

(2 3 � 1 ) + 6 1 = 4 8 4

(5 • 2 ÷ 1 ) ÷ 10 = 8

7÷ 1 + 1 •3= 4 2

Solve using the order of operations.

Level G

Chapter 4 Lesson 7

1. Mark's mom made a batch of 15 brownies. Mark got 13 of the brownies. His brother got 2 brownies. If they

added their brownies together and divided them evenly, how many brownies would each boy get?

Word Problems

2. Thomas made 5 1 cups of lemonade. 3

To do this he started with 4 14 cups of

water, and then juiced 2 lemons. Each lemon made 25 cup of juice. He then

poured in the sugar. How many cups of the lemonade is from the sugar?

3. Benjamin made 3 batches of 12 cookies,

4. Frank made two batches of brownies.

but had to throw away 12 of the last

The first batch he put into 2 smaller

was done, he ate 3 cookies. How many

pan. The second batch he put into a

batch because it burned. When he cookies are left?

pans and cut each piece to be 18 of a larger pan and cut it into a 4 � 6 array. How many brownies did he have when he was done?

Level G

Name

Chapter 4 Lesson 8

Date

Rewrite each fraction with a common denominator. Then, compare using the symbols >, <, =

Place the fractions in order from least to greatest.

4 15

( 3 + 1 )•3�1= 12 4

4 7

3 8

3 5

27 45

2 5

19 30

Solve using the order of operations. 4.

(12 • 1 ) + (15 ÷ 1 ) = 2 5

Solve. If fractions are improper, write as mixed numbers. Simplify to the lowest form. 8 10 +

4 5

4 3 8 9

�

4 �3= 6

10.

12.

7 1 � = 10 2

13.

3 2 6 �

2 3 � = 5 4

11.

6 3 � 3 = 8 4

14.

3 4

8 �4= 12

7�

5 = 11

Level G

Chapter 4 Lesson 8

1. In a game, Timothy earned 6 cards and 5 were red. Gary earned 11 cards and 9 were red. Which boy had a greater

Word Problems

2. Matthew made 14 cups of trail mix. 3 What is this number as a mixed fraction?

fraction of red cards?

3. Jeremy used 2 1 cups of pizza sauce to 3

4. Each batch of cookies needs 1 1 cups 3

to make dipping sauce for breadsticks.

how much sugar will he use? Write

make pizzas and 1 56 cups of pizza sauce How much pizza sauce did Jeremy

your answer as a mixed fraction in

use? Write your answer as a fraction in

simplest form.

of sugar. If David makes 2 12 batches,

Chapter55 Chapter NYS NG Standards NYS NG Standards NY-5.NBT.3 NY-4.NF.7 NY-4.MD.2 NY-5.NBT.3 NY-5.OA.2 NY-4.NF.7 NY-5.NBT.7 NY-6.NS.3 NY-4.MD.2 NY-5.OA.2 NY-5.NBT.7 NY-6.NS.3

CC Standards CC 4.NF.C.7 Standards 4.MD.A.2 4.NF.C.7 5.NBT.A.3 4.MD.A.2 5.NBT.A.3

84 84

5.NBT.B.7 5.OA.A.2 5.NBT.B.7 6.NS.B.3 5.OA.A.2 6.NS.B.3

In Chapter 5 we will review

We will also use decimals to solve basic operations and use our knowledge of the order of operations to solve We willwith also decimals. use decimals to solve basic operations and expressions use our knowledge of the order of operations to solve expressions withtodecimals. Decimal place value ten thousandths place • We will write the word form, standard form, fraction Decimal place value to ten thousandths place form and expanded form of decimal numbers. • We will write the word form, standard form, fraction Order &form compare and expanded form of decimal numbers. • We will use comparison symbols to show which Order numbers & compare decimal are greater or less than others. • We will use comparison symbols to show which Additiondecimal numbers are greater or less than others. • We will add decimal numbers and mixed numbers Addition using decimals. • We will add decimal numbers and mixed numbers Subtraction using decimals. • We will subtract decimal numbers and mixed Subtraction numbers using decimals. • We will subtract decimal numbers and mixed Multiplication numbers using decimals. • We will multiply decimals and discover how to place Multiplication the decimal point in the product. • We will multiply decimals and discover how to place Divisionthe decimal point in the product. • We will divide decimals and discover how to place the Division decimal point in the quotient. • We will divide decimals and discover how to place the Order ofdecimal operations decimals pointwith in the quotient. • We will use the order of operations to solve Order of operations withnumbers. decimals expressions using decimal • We will use the order of operations to solve expressions using decimal numbers.

85 85

In Chapter 5 Through we will review the Decimals Ten Thousandths Place Decimals Through the Ten Thousandths Place

Level G

Name

Chapter 5 Lesson 1

Date

Fill in the names of each place value in the chart below. Word bank: thousands, ones, tens, thousandths, hundreds, millions, tenths, hundredths, billions

Write the place value of each bolded digit. 1.

3.489

27.491

234.92

63,526.98

128,382.281

1,275.298

29,382.409

2,682.69

Write the standard form of each number. 9.

Two hundred fifty-three and twenty-three hundredths

11.

10. Five thousand, six hundred thirty-two and seven thousandths Five hundred sixty-eight and three thousand two hundred forty-five ten-thousandths Write the word form of each number. 12. 2,568.023

13. 32.6528

Write the expanded form of each number. 14. 34.5291 15. 17.0093

Level G

Chapter 5 Lesson 1

1. There are 2.54 centimeters in every

359 thousandths seconds. Write this

number?

number in standard form.

then needed to write the word form of the number. What did he write?

2. Ethan finished the race in 17 and

inch. What is the value of the 4 in this

3. Mark's dad wrote a check for $34.59. He

Word Problems

4. Larry received $13.09 in change. Write this number in expanded form.

Level G

Name

Chapter 5 Lesson 2

Date

Compare the following numbers using the symbols <, > or =. 1.

2.3

2.3000

192.082

52.35

52.53

54.36

78.009

78.2000

5.62

4.30

5.07

192.0081

54.036

3.0

4.03

Write the numbers on the line in order.

11.

5.37

Least

10. 9.2035

9.3654

5.372

10.0000

5.7400

8.99

5.3701

Greatest

12.356

Least

9.6

12. 37.325

132.25

37.965

236.1

37.9

236.123

38.0

9.9658

13. 16.365

Greatest

Least

38.98

14. 41.3652

43.256

16.785

45.639

16.0009

43.2561

16.3658

Greatest

41.0099

Least

Greatest © Lighthouse Curriculum. Copying strictly prohibited.

Least

Greatest

Least

Greatest

Level G

Chapter 5 Lesson 2

1. It rained 4.07 inches at Jacob's house

Word Problems

2. After the rainfall, Jacob's grass grew

and 4.009 inches as Louis's house.

1.002 inches and Louis's grass grew

Which house had more rainfall?

1.02 inches. Which boy's grass grew most?

3. Mark finished the race in 5.035

4. Timothy was on a relay race. The times

minutes. Samuel finished the race in

for the four boys on his team were:

5.0350 minutes. Which boy was faster?

15.075, 15.05, 15.570, and 15.007. Order these times from the fastest (smallest) time to the slowests (biggest) time.

Level G

Name

Chapter 5 Lesson 3

Date

Use placeholder zeros to add the following problems. 1.

5.326 2.37

325.2213 42.3262

235 15.533

7.568 0.36

85.21 7.0028

985.32 5.3235

200 126.546

782.3 9.36

Set up the problem and solve. 211 + 17.36 = +

12. 56.007 + 18.36 = +

15. 52 + 12.365 = +

10. 52.36 + 9.6 = +

13. 95.632 + 21.306 = +

16. 5.012 + 5.9 = +

11. 7,856.3 + 86.321 = +

14. 86.320 + 85.361 = +

17. 12.3 + 122 = +

Level G

Chapter 5 Lesson 3

1. Joseph bought a new bike for $125 and

Word Problems

2. Louis ran his first race in 12.389

paid $7.24 in tax. How much did he pay

seconds and his second race in 14.01

in all?

seconds. How long did it take for him to run both races?

3. Peter bought 3.207 pounds of peaches

4. Patrick is only allowed to bring 75

and 0.75 pounds of blueberries. How

pounds of luggage on the plane. If his

many pounds of fruit did he buy in all?

suitcase weighs 62.194 pounds and his backpack weighs 9.45 pounds, will he be able to bring both on the plane? Explain.

Level G

Name

Chapter 5 Lesson 4

Date

Use placeholder zeros to subtract the following problems. 1.

�

7.802 4.12

�

365.8563 31.1205

�

956 41.263

�

9.523 0.52

�

72.21 4.0037

�

855.856 5.1255

�

405 365.786

�

623.3 4.16

Set up the problem and solve. 512 � 12.32 = �

12. 85.003 � 23.37 = �

15. 13 � 11.524 = �

10. 58.65 � 9.3 = �

13. 38.534 � 21.354 = �

16. 8.354 � 8.35 = �

11. 7,865.03 � 35.524 = �

14. 52.604 � 35.361 = �

17. 54.3 � 5 = �

Level G

Chapter 5 Lesson 4

1. Noah has $37 and spends $9.02 on

Word Problems

2. A store bought 195.4 pound of grapes.

some school supplies. How much does

If Scott bought 7.237 pounds, how

Noah have left?

many pounds of grapes does the store have left?

3. Robert ran a mile long race in 373.1

4. A baker weighs a batch of dough and

seconds. He ran a 100 meter race in

finds that it weighs 19.759 pounds.

11.903 seconds. How much longer did

He uses some to make rolls and the

it take him to run the mile race than the

remaining dough weighs 8.8 pounds.

100 meter race?

How much does he dough for the rolls weigh?

Level G

Name

Chapter 5 Lesson 5

Date

2.36 × 4

6.32 × 5

12.3 × 6

1.283 × 4

2.8 × 18

0.72 × 23

36.2 × 31

3.218 × 43

12.3 × 2.53

10.

38.3 × 2.6

11.

6.233 × 8.2

12.

2.913 × 5.4

Solve using the standard algorithm.

Level G

Chapter 5 Lesson 5

Word Problems

1. Roger has spent his summer in the

2. Roger has spent his summer in the

garden and he likes to sell his fruits and

garden and he likes to sell his fruits

vegetables at the local farmer's market.

and vegetables at the local farmer's

Today, he brought 16.4 pounds of green

market. Today, he brought 12.6 pounds

beans with him and sells them for $0.75

of strawberries with him and sells them

a pound. If he sells all his green beans,

for $1.25 a pound. If he sells all his

how much money will he make?

strawberries, how much money will he make?

3. Roger has spent his summer in the

4. Roger has spent his summer in the

garden and he likes to sell his fruits and

garden and he likes to sell his fruits

vegetables at the local farmer's market.

and vegetables at the local farmer's

Today, he brought 79.35 pounds of

market. Today, he brought 19.5 pounds

tomatoes with him and sells them

of blueberries with him and sells them

for $1.20 a pound. If he sells all his

for $2.82 a pound. If he sells all his

tomatoes, how much money will he

blueberries, how much money will he

make?

Level G

Chapter 5 Lesson 6

Name Date

4 2.36

2 85.39

8 72.32

1.5 24.6

2.5 9.23

2.3 42.78

2.1 22.26

3.2 345.696

4.8 7.368

Divide.

Level G

Chapter 5 Lesson 6

Word Problems

1. Larry is buying food for a party. He

2. Larry is buying food for a party. He

sees that a container of ice cream costs

looks in the bakery and finds that a

$4.29 and will serve 11 people. How

large cake costs $24 and will serve 25

much would a single serving of ice

people. How much would 1 serving of

cream cost?

cake cost?

4. Larry is buying food for a party. He can

$4.86 for a bag of grapes that weighed

buy a 12 pack of plates for $1.56 or a

3.6 pounds. What was the price per

50 pack for $6.00. Which package is

pound of grapes?

cheaper per plate? Explain.

3. Larry is buying food for a party. He paid

Level G

Name

Chapter 5 Lesson 7

Date

5.23 + 2.35 � 1.5 =

(2.42 + 52.24) � 21 =

(1.53 � 0.375) + 10 ÷ 5 =

11.3 � 12.36 ÷ 1.2 =

(8 � 5.2 • 1.3) + 42 =

(12 � 3.25 • 4) + 15.2 =

(15 � 5.23) • (7.1 + 0.2) =

98 � (6.217 • 1.3) =

Solve using the order of operations.

Level G

Chapter 5 Lesson 7

1. Vincent bought a 10.15 pound

2. Joseph mixed 16.1 ounces of pretzels,

watermelon. This week he ate 8.2

15.8 ounces of peanuts, and 12.7

pounds and added 2 packages of

ounces of raisins together to make a

blackberries that weighed 0.375 pounds

trail mix. He then divided it into 20

each. How many pounds of fruit does he

bags. How much did he put in each

have left?

bag?

3. To make a sandwich, Kevin took 2.25 © Lighthouse Curriculum. Copying strictly prohibited.

Word Problems

4. Each batch of lemonade makes

ounces of pizza sauce, 1 slice of cheese

5.3 cups. Noah made 3 batches of

from a bag that had 12 slices in 9

lemonade. He then gave 2.25 cups to

ounces, and 1 bun from a package that

his grandparents, 1.5 cups to his dad,

weighed 16 ounces for 10 buns. How

and had 0.75 cups himself. He divided

many ounces did his final sandwich

the rest into 3 containers. How many

weigh?

cups of lemonade did he put in each container?

Level G

Name

Chapter 5 Lesson 8

Date

Complete the chart. Standard Form 35.243

452.12

45.0368

Word Form

Expanded Form

Compare using < , >, or = . 7.

6.000

2.84

11.

5.36 + 2.912 =

2.0099

78.3

77.99

Set up and solve. 12. 5.6 � 25.6 =

10. 34.50 ÷ 2.3 =

Solve using order of operations. 13. 90 � 133.5 ÷ 1.5 + 0.36 =

14. (2.33 � 11) + 32 =

100

Level G

Chapter 5 Lesson 8

Word Problems

1. George's dad bought a new couch and

2. Michael finished the race in 24.094

paid $599.97 for the couch and $41.99

seconds. Terry finished the race 0.73

for tax. How much did the George's dad

seconds faster. How long did it take

spend in all?

Terry to finish the race?

3. James picked 8.75 pounds of

4. Frank charges $0.45 a pound for

strawberries and paid $12.25. How

the watermelon he sells. If he sells a

much did they cost per pound?

watermelon that weighs 13.2 pounds, how much did it cost?

101

Chapter 6 NYS NG Standards NYS NG Standards NY-5.OA.3 NY-6.EE.3 NY-6.NS.5 NY-5.OA.3 NY-6.NS.6 NY-6.NS.5 NY-6.NS.7 NY-6.NS.6 NY-6.NS.7

NY-7.NS.2 NY-6.EE.3 NY-7.NS.3 NY-7.NS.2 NY-7.EE.3 NY-7.NS.3 NY-7.EE.3

CC Standards CC Standards 6.EE.A.3 5.OA.B.3 6.NS.C.5 5.OA.B.3 6.NS.C.6 6.NS.C.5 6.NS.C.7 6.NS.C.6 6.NS.C.7

102 102

7.NS.A.2 6.EE.A.3 7.NS.A.3 7.NS.A.2 7.EE.B.3 7.NS.A.3 7.EE.B.3

102

Chapter 6 builds students' understanding of the

+ �

Students will expand their understanding of rational numbers (decimals, fractions & whole numbers) to Students will expand their understanding of rational include integers. Students will be applying their numbers (decimals, fractions & whole numbers) to foundational skills of multiplication and division to include integers. Students will be applying their learn how to compute or solve for negative numbers. foundational skills of multiplication and division to They will also expand the coordinate grid from just learn how to compute or solve for negative numbers. quadrant I with positive x and y values to all 4 quadrants They will also expand the coordinate grid from just that may have negative coordinate points. quadrant I with positive x and y values to all 4 quadrants that may have negative coordinate points. They will learn: • How to order & compare sets of numbers that include They will learn: negative numbers • How to order & compare sets of numbers that include • How to multiply expressions with negative numbers negative numbers • How to divide expressions with negative numbers • How to multiply expressions with negative numbers • How negative numbers are represented in real life • How to divide expressions with negative numbers • How negative numbers are represented in real life The skills students will gain through these lessons include • Finding absolute value The skills students will gain through these lessons include • Solving simple expressions with negative numbers • Finding absolute value • Placing negative numbers on a number line • Solving simple expressions with negative numbers • Plotting points & identify points in all 4 quadrants • Placing negative numbers on a number line • Solving expressions with exponents and a negative base • Plotting points & identify points in all 4 quadrants • Solving expressions with exponents and a negative base One strategy students will use to solve multiplication and division problems with negatives is the triangle. One strategy students will use to solve multiplication and division problems with negatives is the triangle.

+ � + �

� �

� + �

� 103

103

Chapter 6 builds students' understanding of the Number System to Include Number System to Include Negative Numbers Negative Numbers

Level G

Name

Chapter 6 Lesson 1

Date

Find the absolute value. 1.

|5|=

|2|=

| -13 | =

| -16 | =

| -4 | =

| -17 | =

|7|=

|6|=

| -7 | =

10. | 3 | =

11. | -7 |

|7|

12. | -9 |

|6|

13. | -3 |

|9|

14. | -8 |

|4|

15. | -8 |

| -4 |

16. | 6 |

| 12 |

17. | -12 |

| 17 |

18. | -27 |

| 27 |

19. | 6 |

| -16 |

Compare the absolute values using the symbols >,<, and =.

104

Level G

Chapter 6 Lesson 1

1. In a game, Richard got a -55 point

Word Problems

2. Patrick and Mark both got some

penalty for answering before the

questions wrong this round. Patrick

question was completely asked. How

ended the round with -120 points and

many points did Richard lose?

Mark ended the round with -70 points. Which boy had a higher score?

3. The temperature outside was -13°F. How far below zero is this?

4. The highest part of the Statue of Liberty is 305 feet tall. How far off the

ground is the highest part of the Statue of Liberty?

105

Level G

Name

Chapter 6 Lesson 2

Date

Compare using the symbols >,<, and =. 1.

-12

| -9 |

| -8 |

-8

-1

-6

-3

| -3 |

-15

-12

-23

10. 2, -3, 0, 1, -1

11. 5, -5, 6, 7, -3

12. 24, -15, 3, 19, -20

13. 11, 12, -5, -18, -11

14. 5, -6, 8, -5, -16

15. -25, -23, 1, -20, -17

Write the numbers in order from greatest to least.

106

Level G

Chapter 6 Lesson 2

1. The low temperatures for the past 7

2. Matthew starts at school and walks east

days have been -7°F, 13°F, 2°F, 0°F, -4°F,

3 miles. Paul starts at school and walks

-22°F, and 5°F. Put these in order from

west 3 miles. Which boy is further from

least to greatest.

school now?

3. The temperature in Albert's city was

107

Word Problems

4. On Monday night, the low temperature

-32°F. The temperature in Benjamin's

was -37°F. On Tuesday night, the low

city was 45°F. Which temperature has

temperature was -35°F. Which night

the biggest absolute value?

was warmer?

Level G

Name

Chapter 6 Lesson 3

Date

Look at the coordinate plane and write the coordinate point that describe each letters location. 10

A. (

)

B. (

)

C. (

)

D. (

)

E. (

)

F. (

)

G. (

)

H. (

)

6 4

G -10

-8

-6

-4

-2

-4 -6

-8

-10

Plot and label the following points on the blank coordinate plane. Then write what quadrant they are in. Point

Quadrant

I (-2, 8)

J (3, 0)

K (-4, -4)

L (5, 7)

-10

-8

-6

-4

-2

M (-6, -1)

-2

N (-3, -2)

-4

O (0, 7) P (2, -7) Q (-2, 6)

-6 -8 -10

108

Level G

Chapter 6 Lesson 3

Word Problems

1. Christopher made a map of his town.

2. Christopher made a map of his town.

He put the school at the center with

coordinates of (0, 0). If the park was at

coordinates of (0, 0). If the ice cream

(2, -3), what quadrant would it be in?

shop is at (-4, 0), what quadrant will it be in?

4. Christopher made a map of his town.

He put the school at the center with

coordinates of (0, 0). His friend

coordinates of (0, 0). The fire station is

Dennis's house is at (3, 7). If up is north,

at (-4, 2). If up is north, describe with

describe with directional words how to

directional words how to get to the fire

get to Dennis's house from the school.

station from the school.

3. Christopher made a map of his town.

109

Level G

Name

Chapter 6 Lesson 4

Date

-3 • 2 =

-25 • -2 =

-6 • -3 =

-15 • 3 =

-15 • 75 =

7 • -7 =

-9 • -9 =

18 • 2 =

10 • -2 =

10. -11 • -3 =

11.

7•4=

12. 10 • -12 =

13. 30 • 25 =

14. 8 • -4 =

15. -15 • 23 =

16. 5 • 17 =

17.

18. -21 • 3 =

-11 • -44 =

19. 13 • 7 =

20. -7 • 5 =

21. 8 • -12 =

22. -4 • 9 =

Solve.

110

Level G

Chapter 6 Lesson 4

1. Mark's dad pays $2 in tolls to drive to

Word Problems

2. Mark's dad pays $2 in tolls to drive to

work each day. If there is $65 in his toll

charge account today, how much was

charge account today, how much will

there three days ago?

there be 6 days from now?

4. Brandon earns $7 each day for helping

his neighbor with chores. He currently

has $143 in his bank account. How

much will he have one week from

much did he have 5 days ago?

3. Brandon earns $7 each day for helping

today?

111

Level G

Name

Chapter 6 Lesson 5

Date

-25 � 5 =

-88 � 11 =

-36 � -3 =

-72 � 12 =

-81 � 9 =

48 � 8 =

-27 � 9 =

54 � 9 =

33 � 11 =

10. -30 � 5 =

11.

60 � 12 =

12. 54 � -6 =

13. 8 � -2 =

14. 55 � -5 =

15. -36 � -6 =

16. 96 � 12 =

17.

18. -32 � 4 =

-44 � -11 =

19. 14 � 7 =

20. -12 � -6 =

21. 30 � -3 =

22. -18 � 6 =

Solve.

112

Level G

Chapter 6 Lesson 5

Word Problems

1. Eric's dad bought a new vacuum and

2. Elijah is not doing well on the trivia

chose to pay the $72 owed over 8 weeks.

game. His score is currently -35. If he

How will his bank account change each

started at 0, how many questions did

week?

he get wrong if he lost 5 points with each wrong answer?

3. George borrowed some money from his brother to buy a bike. He owes his

At 6am, the temperature was -18°F. If

brother $65 and pays him $5 a week.

the temperature changed at a constant

How many weeks will it take George to

rate, how much did the temperature

finish paying his brother the money he

change each hour?

borrowed?

113

4. At midnight, the temperature was 0°F.

Level G

Name

Chapter 6 Lesson 6

Date

-3.725 � 5 =

-32.5 • -7.5 =

- 1 �4= 2

-19.3 • 5 =

5 � -6 = 8

- 1 • -12 = 6

-15.3 � -3 =

13 • 1 = 4

7 �- 1 = 8 4

10. -2.232 • -5 =

Solve.

114

Level G

Chapter 6 Lesson 6

Word Problems

1. Gabriel owes his brother $5.25. He is

2. Each screw that breaks on a machine

going to pay his brother back over 3.5

costs $1.34. If 6 screws have broken,

weeks. How much should he pay his

how much will the company need to

brother each week?

pay to replace them?

4. Each leak loses 1.4 gallons of water an

board game he is playing, he has to pay

hour. If Dennis was able to stop 6 leaks,

$15. If Jeffrey has landed in 7 traps, by

how much water is he saving?

3. Each time Jeffrey lands on a trap on the

what number has his bank account in the game changed?

115

Level G

Name

Chapter 6 Lesson 7

Date

-(-8)2 � 4 • (-4) =

3 � (-3) + (-2)2 � 6 =

6�7•3+2=

-(-1) + (-10) • 4 =

32 + 4 • (-5 + -4) =

21 � 3 + 5 • -3 =

Solve using the order of operations.

116

Level G

Chapter 6 Lesson 7

1. The Anderson family has three

Word Problems

2. The temperature has gone down

children. Each child spent $4 a day on

4°F for 4 days and then went up 7°F

lunch at school for 16 days this month.

today. How much has the temperature

How much did the Anderson family pay

changed over the last 5 days combined?

for the school lunches in all?

3. In the dice game, your score is

117

4. In the dice game, your score is

multiplied by a positive 2, 4, or 6 if you

land on those numbers and a negative

1, 3, or 5 if you land on those numbers.

Nathan started with a score of 5 and

Willie started with a score of -2 and

then rolled a 4, a 3, and a 3. What was

then rolled a 5, a 5, and a 6. What was

his final score?

Level G

Name

Chapter 6 Lesson 8

Date

Compare the values using the symbols >,<, and =. 1.

| -7 |

|7|

| -6 |

-3

Write the numbers in order from greatest to least. 4.

8, -8, 7, 6, -7

23, -22, 6, 15, -5

15 � (-5) + (-2)2 � 8 =

Solve using the order of operations. 6.

-(-6)2 � 2 • (-6) =

Solve. 8.

3.25 • -8.2 =

1 • -5 = 6

10. - 3 � -3 = 4

Look at the coordinate plane and write the coordinate point that describe each letters location. ,

)

B. (

)

10 8

C. (

)

D. (

)

A. (

D 4 2

C -10

-8

-6

-4

-2

-2 -4 -6

-8 -10

118

Level G

Chapter 6 Lesson 8

1. What number is larger? The absolute

Word Problems

2. What quadrant is the point (-4, -2) in?

value of 10 − 15 or the absolute value of -9 + 12?

3. If the electricity at Louis's house costs

4. The fish tank is leaking water. If it

$0.44 an hour, how much does it cost

leaks 0.4 gallons an hour, how many

per day?

hours will it take to be empty if it holds 5 gallons? Round your answer to the nearest tenth.

119

Chapter 7 Chapter 7

NYS NG Standards NYS NGNY-6.EE.3 Standards

NY-7.NS.3 NY-7.NS.1 NY-7.EE.3 NY-6.EE.3 NY-7.NS.3 NY-7.NS.1 NY-7.EE.3

CC Standards 6.EE.A.3 CC Standards 6.EE.A.3 7.NS.A.1

7.NS.A.1

7.NS.A.3 7.EE.B.3

120 120

120

Chapter 7 reviews and builds skills with Chapter 7 reviews and builds skills with

Ratios, Negative Numbers Ratios, Negative Numbers and Solving Expressions with and Solving Expressions with Negative Rational Numbers Negative Rational Numbers

Now students will expand their understanding to include adding and subtracting rational Although Now students will expand their numbers. understanding to include multiplying dividing rational negativenumbers. numbersAlthough is similar to how adding and and subtracting students have learned these skills, numbers adding and subtracting is multiplying and dividing negative is similar to how diﬀ erent and be a harder skill for students pick up on. students havecan learned these skills, adding and to subtracting is diﬀerent and can be a harder skill for students to pick up on. They will learn: • How add expressions with negative numbers They willtolearn: •• How expressions negative numbers How to to subtract add expressions withwith negative numbers •• How numbers are represented in real life How negative to subtract expressions with negative numbers •• How use order of operations to solve expressions How to negative numbers are represented in real life with numbers • negative How to use order of operations to solve expressions with negative numbers The skills that they will gain through these lessons include: • Using lines represent quantities The skillsnumber that they willto gain throughnegative these lessons include: •• Using addition and subtraction Using number number lines lines to to show represent negative quantities • expressions Using number lines to show addition and subtraction • Using order of operations to simplify expressions expressions • Using order of operations to simplify expressions Some strategies that students will learn are using number lines addition that and students subtraction representing Somefor strategies willproblems learn are and using number an expression withand zero pairs. lines for addition subtraction problems and representing an expression with zero pairs. Although there is no new vocabulary for this unit, students will reviewthere integer, rational number and lifestudents negative Although is no new vocabulary forthe thisreal unit, and numberrational vocabulary. will positive review integer, number and the real life negative and positive number vocabulary.

121 121

121

Level G

Name

Chapter 7 Lesson 1

Date

Use the number line to help solve the following problems.

-9

-8

-7

-6

-5

-4

-3

-2

-1

-2 + 8 =

8 + -3 =

4 + -2 =

4+6=

7+2=

10 + -11 =

9 + -4 =

6 + -7 =

4+7=

10. -11 + 5 =

11. -9 + 8 =

12. -3 + 3 =

13. -5 + 1 =

14. -9 + 3 =

15. -1 + 3 =

16. 7 + -3 =

17. 2 + 3 =

18. -5 + -3 =

-11 -10

122

Level G

Chapter 7 Lesson 1

1. Yesterday afternoon, the temperature

2. At bedtime, the temperature outside

was 15°F. Overnight, it went down

was 2°F. At midnight, the temperature

23°F, and then it rose 18°F today. What

had gone down another 6°F. What was

temperature is it now?

the temperature at midnight?

3. David had $10. He bought a bottle of © Lighthouse Curriculum. Copying strictly prohibited.

Word Problems

4. Gabriel's dog chewed up a $3 dog

water for $2 and some chips and cheese

ball and a $6 dog toy when he visited

for $5. How much money does David

the pet store. What integer shows the

have left?

amount of money Gabriel owes the pet store?

123

Level G

Name

Chapter 7 Lesson 2

Date

-22 + 38 =

34 + 13 =

-42 + 12 =

52 + -6 =

-13 + 8 =

-30 + 11 =

4 + -3 =

47 + -26 =

34 + 45 =

10. 44 + -55 =

11. -8 + 8 =

12. -52 + -6 =

13. -61 + -9 =

14. -42 + 36 =

15. 89 + -3 =

16. 21 + -30 =

17. -4 + 36 =

18. -71 + -15 =

Solve the following problems using any strategy.

124

Level G

Chapter 7 Lesson 2

1. While playing a board game, Frank

mowed 2 lawns and earned a total of

By what number did his total change

$12. How much will Nathan have left

during this turn?

after he pays his dad?

and then down 2 km. How far is he from sea level now?

2. Nathan owed his dad $7 so he went and

earns $4 and has to pay $7 in one turn.

3. David is at sea level. He hikes up 3 km

125

Word Problems

4. Jacob owes his brother $3 and his mom $8. How much does he owe in all?

Level G

Chapter 7 Lesson 3

Name Date

Draw a line from the story to the correct equation and from the equation to the correct answer. 1.

In Chicago, Illinois it is -27° at 8 in the morning. By the afternoon, it became warmer by 12 degrees.

-27 + 12 =

-15

-315 + 230 =

-545

-230 + -315 =

-230 + 315 =

-12 + 27 =

-85

What is the temperature in Chicago in the afternoon? 2.

A submarine descends 230 feet below the water. Then, it moves farther down by 315 feet. How far is the submarine in relation to the ground?

A small business owner has $-230 in his business account. He deposits $315 into the account the next day. How much money is

in his account now? A roller coaster begins underground. It then increases 27 feet into the air. If the roller coaster starts at -12 feet, what is the height of the top of the roller coaster in relation to the ground? 5.

A bookstore owes 315 books to customers who ordered over the phone. The store received 230 copies of the book. What is the total amount of books the store has now?

126

Level G

Chapter 7 Lesson 3

1. A truck earned $2,000 for a trip. It

Word Problems

2. The school store sold $4 in pencils, $7

spent $1,375 on gas and $400 on new

in pens, and $5 in notebooks. It also

tires. How much money did it lose or

bought new supplies which cost $20.

make this trip?

How much money did it lose or make this week?

4. The scuba divers were 25 feet below

pays $14 for a new board game, and

the surface of the ocean. They saw

then puts in $25 he earned babysitting.

some interesting rock formation and

How much is in his account now?

dove down another 49 feet. When they

3. Mark has $27 in his bank account. He

were done, they went up 63 feet to look at some coral. Use an integer to show their current position in relation to the surface of the ocean.

127

Level G

Name

Chapter 7 Lesson 4

Date

Use the number line to help solve the following problems.

-9

-8

-7

-6

-5

-4

-3

-2

-1

-6 � 8 =

7�3=

9 � -1 =

4�8=

6�7=

5 � -3 =

4 � -4 =

3�7=

3�1=

10. -2 � 5 =

11. -5 � 3 =

12. -7 � 3 =

13. -9 � 1 =

14. -2 � 4 =

15. -2 � 7 =

16. 8 � -3 =

17. 3 � 9 =

18. -2 � 3 =

-11 -10

128

Level G

Chapter 7 Lesson 4

Word Problems

1. At night, the temperature was -3°F.

2. Michael was missing one marble. He

During the day, the temperature was

then tripped this afternoon and lost 4

15°F. By how much did the temperature

more! What integer shows the change

change?

in the number of Michael's marbles.

3. Patrick earned $14 washing cars today,

129

4. In a trivia game, Scott's score is

but when he got home, he saw there was

currently 65 and Terry's score is -15.

a hole in his pocket and he had lost $3.

How much higher is Scott's score than

How much money is left in his pocket?

Terry's?

Level G

Name

Chapter 7 Lesson 5

Date

-22 + 38 =

36 � 73 =

-12 � 72 =

57 � -21 =

-17 � 5 =

-54 � 77 =

8 � -2 =

66 � -18 =

32 � 83 =

10. 41 � -75 =

11. -27 � 19 =

12. -12 � -26 =

13. -81 � -22 =

14. -92 � 76 =

15. 88 � -31 =

16. 26 � -80 =

17. 25 � 36 =

18. -41 � 15 =

Solve the following expressions, rewrite as addition if it is helpful for you.

130

Level G

Chapter 7 Lesson 5

1. The temperature in the morning was -3°F, and in the afternoon it was 12°F.

Word Problems

2. Nathan ate 5 of his 14 marshmallows. How many does he have left?

What was the difference between the morning and afternoon temperatures?

3. When cleaning his room, Patrick picked

131

4. Terry owes his dad $9. He mowed

up 3 books and then he found 2 books

three lawns today and earned $21. How

he lost last week and put them away.

much money does he have now after

How many books did he take care of?

paying his dad?

Level G

Chapter 7 Lesson 6

Name Date

Draw a line from the story to the correct equation and from the equation to the correct answer. 1.

In Plentywood, Montana it is 12° at 8 in the morning. By the afternoon, it became 27 degrees

12 - 27 =

-22

40 � -18 =

-39

27 � 12 =

-27 � 12 =

-15

18 � 40 =

colder. What is the temperature in Plentywood in the afternoon? 2.

A carnival ride climbs straight into the air at 18 feet above ground. Then, it ends by falling 40 feet into an underground tunnel. What is the elevation of the end of the ride relative to the ground?

A man has $-27 in his bank account. He then used his debit card to buy a $12 item. How

much money does he have in his account now? 4.

The temperature of the freezer is -18°C but the refrigerator is 40°C. What is the difference between the temperature of the refrigerator and the temperature of the freezer?

A person got into an elevator at the 27th floor. They traveled down 12 floors and got off. Which floor is the person on?

132

Level G

Chapter 7 Lesson 6

1. Mark put some water in the freezer. Each hour, he finds that it is 7°F colder.

Word Problems

2. Jeffrey ate 5 muffins and made 18 muffins. How many muffins remain?

By what integer will the water change after 4 hours?

3. Russell dug a hole 5 feet deep. He piled the dirt up so that it was 4 feet high.

How many weeks will it take him to pay

What is the difference between the top

all the money?

of the dirt pile and the bottom of the hole?

133

4. Michael owes $24. He pays $3 a week.

Level G

Name

Chapter 7 Lesson 7

Date

122 � 3 • (-2) =

-10 � 2 + 1 =

-33 � 5 • 12 =

4 � 12 + 3 • 2 =

-18 + 7 • (-12 + -16) =

-25 � 5 � 5 • 6 =

Solve using the order of operations.

134

Level G

Chapter 7 Lesson 7

1. Noah earns $8 a week, but spends $5 on

Word Problems

2. Scott had 25 volcanic rocks. He gave 4

a new book each week. If he owes $18

friends 4 rocks each and then found 2

for a new bike helmet, how many weeks

more. How many does Scott have now?

will it take him to pay this off?

3. The elevator started 2 floors

135

4. Thomas's business earns $10 for every

underground. It then went up 7 floors,

t-shirt it sells. He has to pay $6 to make

down 3 floors, up 1 floor, down 5 floors,

each t-shirt and $8 each week for a spot

up 2 floors, up 4 floors, and down 3

to sell them. How much would Thomas

floors. What floor did it end on?

make if he sold 7 t-shirts this week?

Level G

Name

Chapter 7 Lesson 8

Date

-4 + 7 =

-13 + 25 =

4 � -2=

32 + -19 =

7�8=

72 + -8 =

10 + -5 =

22 � -41 =

12 + 8 =

10. 43 � 10 =

11. -14 + 8 =

12. -52 � 8 =

13. -5 � 3 =

14. -32 � -3 =

15. -1 � 3 =

16. -17 + 31 =

Solve the following problems using any strategy.

Solve using the order of operations. 17. -93 � 3 • (-7) =

18. 68 � 72 + 15 � 3 =

19. (-7 + 3) • 5 =

136

Level G

Chapter 7 Lesson 8

1. A diver started 33 feet above the pool

Word Problems

2. Andrew climbed 87 steps to the top of

and dove to 12 feet below the surface of

the lighthouse, and then climbed back

the water. What is the total distance of

down 54 steps to the keeper's work

the dive?

station. How many steps above ground level is he now?

4. Carl spent $24 on new shoes and $18

the surface of the water and then slowly

on a new backpack. How much did he

ascended 29 feet. What is his position

spend in all?

3. A scuba diver descended 78 feet below

relative to the water's surface now?

137

Chapter 8 Chapter 8 NYS NG Standards NY-6.EE.2 NY-7.EE.1 NY-6.EE.3 NY-7.EE.2 NY-6.EE.2 NY-6.EE.4 NY-7.EE.1 NY-7.EE.3 NY-6.EE.3 NY-6.EE.6 NY-7.EE.2 NY-7.EE.4 NY-6.EE.4 NY-6.EE.7 NY-7.EE.3 NY-6.EE.6 NY-7.EE.4 NY-6.EE.7

NYS NG Standards

CC Standards 6.EE.A.2 6.EE.A.3 6.EE.A.2 6.EE.A.4 6.EE.A.3 6.EE.B.6 6.EE.A.4 6.EE.B.7 6.EE.B.6 6.EE.B.7

CC Standards

7.EE.A.1 7.EE.A.2 7.EE.A.1 7.EE.B.3 7.EE.A.2 7.EE.B.4 7.EE.B.3 7.EE.B.4

138 138

138

Chapter 8 takes students' understanding working with Chapter 8oftakes students' understanding of working with

Negative Numbers and Negative Numbers and Simplifying Expressions Simplifying Expressions to Learning How to Solve to Learning How to Solve Equations Equations

139

In this chapter students learn the foundations of algebra whichIn will bechapter key in their future mathematics instruction. this students learn the foundations of algebra which will be key in their future mathematics instruction. They will learn: • What anwill equation They learn: is • The •parts of an an equation equation is What • Inverse operations • The parts of an equation • The •distributive property Inverse operations • Using like terms • The distributive property • Using like terms The skills that they will gain through these lessons include: The skills that they will gain through these lessons • Using inverse operations to isolate variables to solve include: equations • Using inverse operations to isolate variables to solve • Checking their work by evaluating their answer equations • Simplifying expressions by by using the distributive • Checking their work evaluating their answer property and combining like terms • Simplifying expressions by using the distributive property and combining like terms Some strategies that students will use are: visualizing equations asstrategies a balancethat scale, using the for Some students willarea use method are: visualizing distributing, analyzing common errors following four- for equations as a balance scale, using the areaa method step process for solving algebraic equations. distributing, analyzing common errors following a fourstep process for solving algebraic equations.

139 139

Level G

Chapter 8 Lesson 1

Name Date

Draw a line from the story to the correct equation and from the equation to the correct answer. 1.

A construction worker makes $15 an hour. If they made $180, how many

180 � 15 = x

hours did they work?

There are a total of 180 trees in the park. Fifteen of the trees are redwood trees

180 � (x • 4) = 15

and the rest are oak. How many are oak?

A father had $180. He bought four items that cost the same price. He has a

3 + 7 + s = 40

total of $15 remaining after © Lighthouse Curriculum. Copying strictly prohibited.

buying the items. How much was each item?

Forty is three times a number plus seven.

15x = 180

A shoe store sold 40 pairs of shoes. Three pairs were a size seven, seven pairs

3x + 7 = 40

were a size six, and the rest were a size eight. How many were a size eight?

140

Level G

Chapter 8 Lesson 1

1. Write an expression to show how many

Word Problems

2. Write an expression to show that

ounces of lemonade James has sold if

Sammy bought a pair of pants for $14,

he started with 120 ounces and only has

half of their original cost.

79 ounces remaining.

4. Write an expression to show how many

students chose pizza for lunch today,

hours Benjamin babysat if he earns $9

which is one fifth of the students in the

per hour and received $36.

3. Write an expression to show that 45

cafeteria.

141

Level G

Name

Chapter 8 Lesson 2

Date

-2m + 11 + 6m

4g + 6g – 3g

-5 + 9v + 6

2x + 7x – 6x + 8

12r + 5 + 3r − 5

11d + 5f – 21d + 5 – 8

n − 10 + 9n − 3

15f – 5 + 2f

-3r − 9 + 15r

10. 11q + 5p – 9q + 7p

Combine like terms to simplify the expressions.

142

Level G

Chapter 8 Lesson 2

Word Problems

1. Thomas is looking through his pencil

2. Jeffrey is counting the number of cars

box. He counts 2 pencils, 7 crayons, 1

and trucks he sees between his house

glue stick, 3 more pencils, and 5 more

and school. He sees 3 cars, 1 truck,

crayons. How many does he have of

2 cars, 4 trucks, 1 car, 3 trucks, and

each item?

then 5 cars. How many of each type of vehicle did he see?

3. Ethan went to the apple orchard today. He pulled out 3 apples from his bag,

and then sang 1 more song. How many

then $4 left over from buying apples,

of each did he perform?

then another 6 apples, and finally, he found $1 more at the bottom of the bag. How much did he have of each?

143

4. Gregory sang 3 songs, recited 2 poems,

Level G

Name

Chapter 8 Lesson 3

Date

7 (12x + 12)

4 (8g + 9 + 4g)

6 (7x + x)

-9 (7 + 4q)

4 (6r + 7 + 3r)

11(-8 – 7g)

7 (5c + 2 + 11c)

10 (3 – 4v)

11 (5b + 7 + 6b)

10. 6 (-5g + 7)

First use distributive property. Then, if needed, combine like terms.

144

Level G

Chapter 8 Lesson 3

1. For a certain sale, if you buy 3 books you

Word Problems

2. For each row of greenbeans Samuel

get $9 off your purchase. Carl bought

planted, 5 of the seeds did not grow.

2 sets of 3 books. Write a simplified

Write a simplified expression to show

expression to show how much money

the total number of greenbean plants

he spent if all the books cost the same

he had if he planted 7 rows.

amount.

3. Paul made 4 dinner plates. Each plate

145

4. The school can get $4 off every 3

had 2 rolls, 1 serving of meat, and 8

basketballs they buy. Write a simplified

carrots. How much of each item did he

expression to show the total cost if they

need?

buy 8 sets of 3 basketballs.

Level G

Name

Chapter 8 Lesson 4

Date

11 = m – 4

7j = 42

1 d 2

m 5

17 = s + 9

p � 2 = 13

-6t = -24

-12 = 3 • t

-5 = -

1 d 4

10. 17 = k - 5

Solve the equations using inverse operations.

146

Level G

Chapter 8 Lesson 4

1. Write and solve an equation

2. Write and solve an equation

representing this situation: Jerry is 5

representing this situation: If Stephen

years younger than his brother. If Jerry

earned $16 for 4 hours of work, how

is 11 years old, how old is his brother?

much did he earn per hour?

3. Write and solve an equation

147

Word Problems

4. Write and solve an equation

representing this situation: The

representing this situation: Aaron's

temperature went down 3 degrees an

mom made cookies and put them

hour. After a while, it was 18 degrees

equally in 6 bags. If Aaron got one bag

colder than before. How many hours

and saw that there were 4 cookies, how

have passed?

many cookies did his mom make?

Level G

Name

Chapter 8 Lesson 5

Date

-9x + 1 = -80

-10 = -10 + 7r

-2 = 2 + k 4

-2 =

m � 1 9

-15 = -4v + 5

-1 =

5+f 6

-9n � 13 = -103

8n + 7 = 31

31 = 8m + 7

10. 17 = 2k + 7

Solve the equations.

148

Level G

Chapter 8 Lesson 5

1. Write and solve an equation

Word Problems

2. Write and solve an equation

representing this situation: Dennis's

representing this situation: Elijah

family's car has 7.8 gallons of gas at the

bought 3 watermelons and paid with

beginning of their trip. Their car uses

a $20 bill. He received $2 in change.

2.6 gallons of gas an hour. When they

How much did each watermelon cost?

arrive, they have 2.6 gallons left. How many hours did they drive?

3. Write and solve an equation

149

4. Write and solve an equation

representing this situation: James

representing this situation: The

and John combined their marbles and

number of students in the class who

divided them among 3 people to play

wore blue shirts today was 2 more than

a game. If each person received 12

a quarter of the students. If there were

marbles and James had 17, how many

8 students wearing blue shirts, how

marbles did John have?

many were in the class?

Level G

Name

Chapter 8 Lesson 6

Date

-3x � 8 + 4x = 17

x � 4 + 2x = 14

8 = 4(s � 2) + 4

-15b + 21 + 5b = -19

5(1 � 2t) + 8t = 15

3(p + 7) = 6(p + 2)

Solve the problems below.

150

Level G

Chapter 8 Lesson 6

1. Write and solve an equation

2. Write and solve an equation

representing this situation: Christopher

representing this situation:

bought 7 balls that cost B dollars each

Christopher also bought 5 buckets last

last week. This week he bought 3 more

week for W dollars each. This week he

balls that each cost 3 dollars more. He

bought 2 more which cost 1 dollar less

paid $49 for all of the balls. How much

each. If he paid $19 total, how much

did the balls cost last week?

did one bucket cost him last week?

3. Write and solve an equation

4. Write and solve an equation

representing this situation: Vincent

representing this situation: Umbrellas

was going to buy 4 gallons of milk and

are $5 off today. If Danny bought 2

handed the cashier $20, but they found

umbrellas and paid $12, how much did

that there was a leak in 1 gallon of milk,

an umbrella originally cost?

so he didn't buy it and the cashier gave him back $8 in change. How much did each gallon of milk cost?

151

Word Problems

Level G

Chapter 8 Lesson 7

Name Date

Write an equation to represent the scenario. Then solve to find the solution. 1.

A student bought three books at the bookstore. One book cost $12. The other two books were the same price. If the student paid $58 in total, how much did each of the other books cost? Equation: Answer:

On Monday and Tuesday, a train travels 1,258 miles each day. On the Wednesday, it traveled 50 miles more than usual. What is the total amount of miles the train traveled in these three days? Equation: Answer:

A candy store sells different types of chocolate. They have 35 cases of each type of cases, how many types of chocolate do they sell? Equation: Answer:

Jeff is buying presents for his family. He spent $20 on his sister's gift. He wants to spend $10 more on his mother than he spends on his sister, and six dollars more than twice the amount he spends on his mother on his father. How much does he intend to spend on his father? Equation: Answer:

152

chocolate. They also have 320 cases of other types of candy. If they have a total of 635

Level G

Chapter 8 Lesson 7

1. Write and solve an equation representing

Word Problems

2. Write and solve an equation

this situation: The fair costs $7 per person

representing this situation: A bank is

for entry plus $5 to park. How many

ordering special pens to give out. It

people did the Thomas family bring to the

costs $19.99 to do the design and then

fair if they paid $40 in all?

$0.37 a pen. If the bank spent $75.49, how many pens did they order?

3. Write and solve an equation representing this situation: At noon,

representing this situation: Jack had a

Ethan's family was already 120 miles

package of candies. He gave 12 to his

from home. When they got to the

brother and divided the rest among

national park, they were now 300 miles

6 friends so that each friend received

from home. If they drove at 60 miles

6. How many candies did Jack have

an hour, what time did they get at the

originally?

national park?

153

4. Write and solve an equation

Level G

Name

Chapter 8 Lesson 8

Date

Solve the equations using inverse operations. 1.

25 = 3x + 7

36 = 2x + 4

-8 = 19 � x

1 x x = 2

1 = 6x � 7 � 2x

-15 = -7x � 4 � 4x

8 = x � 1 + 8x

-2 = x + 2 � 2

Write an equation and then solve. 9.

A grocery store sells oranges for $0.35

10. Two boys spent a total of 45 minutes

a pound. Grapes costs $0.12 less per

at the park. They spent 9 minutes

pound than the oranges. How much

playing tag, 17 minutes playing catch,

would it cost for a customer to buy 3

and the rest of the time on the swings.

pounds of oranges and 2 pounds of

How much time did they spend on the

grapes?

swings?

Equation:

Answer:

154

Solve the multi-step problems.

Level G

Chapter 8 Lesson 8

1. Douglas had 5 pennies and then found

Word Problems

2. Write and solve an equation

1 penny and 3 quarters. On the way

representing this situation: If the

home, he lost 3 pennies and 1 quarter.

temperature increased evenly 30

How much does he have of each now?

degrees over 6 hours, how much did it increase each hour?

3. Write and solve an equation

4. Write and solve an equation

representing this situation: At the park,

representing this situation: At the

Andrew saw 1/4 of his class plus 6 other

store, you can get $2 off if you buy 3

friends. If he saw 13 kids at the park,

shirts. Walter bought 4 sets of 3 shirts

how many were in his class?

and spent $64. How much did each shirt cost?

155

Chapter 9 Chapter 9 NYS NG Standards NY-6.RP.1

NY-7.RP.2

NYS NY-6.RP.2 NG Standards NY-7.RP.3 NY-6.RP.3 NY-7.G.1 NY-6.RP.1 NY-7.RP.1 NY-7.RP.2 NY-7.RP.3 NY-6.RP.2 NY-6.RP.3 NY-7.G.1 NY-7.RP.1 CC Standards 6.RP.A.1 6.RP.A.2 CC Standards 6.RP.A.3 6.RP.A.1 7.RP.A.1 6.RP.A.2 6.RP.A.3 7.RP.A.1

7.RP.A.2 7.RP.A.3 7.G.A.1 7.RP.A.2 7.RP.A.3 7.G.A.1

156 156

156

Chapter 9 reviews and builds Chapter 9 reviews and builds

Students will expand their understanding of ratios to include Students expand their ratios to include equivalent ratios,will proportions andunderstanding scale. Studentsofwill review equivalent ratios, proportions and Students willwill review what ratios are and the diﬀ erent ways to scale. write them. They what ratios and the diﬀerent ways to write them. They will learn that there areare multiple ways to solve proportions including that there ratio are multiple to solve proportions findinglearn unit rate/unit and see ways how this can be helpful toincluding findingproblems. unit rate/unit and see can concepts be helpful to solve certain Thenratio students willhow applythis these certain problems. students concepts to scalesolve to find missing sides ofThen figures and inwill realapply worldthese contexts. to scale to find missing sides of figures and in real world contexts. They will learn: willequivalent learn: • HowThey to find ratios • How to fi nd equivalent • How to find and use unit rate ratios findfactor and use unit rate • How• toHow findto scale toproportions find scale factor • How• toHow solve • How to solve proportions The skills that they will gain through these lessons include: The factors skills that will gain through these lessons include: • Finding thethey create equivalent fractions • multiplying Finding factors the create equivalent fractions • Cross to solve proportions • Crossunit multiplying to solve proportions • Identifying rate • Identifying unit rate • Finding the scale factor • scale Finding the to scale factor • Using factor solve problems • Using scale factor to solve problems The key vocabulary terms for this unit are: ratio, per, unit rate / Theunit key price, vocabulary termsratios, for this unit are: ratio, unit rate / unit ratio, equivalent proportion, scaleper, image, unit ratio, unit price, equivalent ratios, proportion, scale image, scale factor scale factor

157

Skills with Ratios Skills with Ratios

157 157

Level G

Name

Chapter 9 Lesson 1

Date

Moons to suns:

Circles to shapes:

Quadrilaterals to polygons:

Circles to ovals:

Determine the ratio indicated based on the set of images.

Read the scenario and write the ratio as a fraction. A field of flowers is filled with 32 roses and 12 tulips. What is the ratio of…

A bakery has 12 types of donuts and 7 types of cupcakes. What is the ratio of…

Roses to tulips:

Donuts to cupcakes:

Tulips to Roses:

Cupcakes to Donuts:

Tulips to flowers:

10. Donuts to pastries:

158

Level G

Chapter 9 Lesson 1

Word Problems

1. In Harold's garden, he has 8 rows of

2. Michael puts in 3 lemons for every 2

corn, 3 rows of tomatoes, and 7 rows

cups of water when making lemonade.

of greenbeans. What is the ratio of

What is his ratio of cups of water to

greenbeans to corn?

lemons?

3. In the crayon box, there are 24 crayons, 5 of which are shades of blue and 3 are

1, 2, 3, 4, 5, 6. What is the ratio of total

shades of green. What is the ratio of

numbers to odd numbers?

blues to total crayons?

159

4. A number cube has sides numbered

Level G

Name

Chapter 9 Lesson 2

Date

Fill out the tables to make equivalent ratios. 1.

3 5

7 8

4 10

25 56

3 7

55 60

10 12

9 12

27 36

7 9

27 30

1 5

7 35

10.

5 4

20 16

11. 12 5

72 30

12.

2 9

12 54

13.

2 5

3 4

Are these equivalent ratios? Write = if they are and ≠ if they are not.

160

Level G

Chapter 9 Lesson 2

Word Problems

1. When making pancakes, Richard needs

2. Billy is making lemonade. He uses 3

1 egg for every 2 cups of flour. If he is

lemons for every 2 cups of water. If

making a batch with 6 cups of flour,

he uses 12 cups of water, how many

how many eggs will he need?

lemons will he need?

3. Billy's brother Scott is also making

4. Stephen puts 2 cups of peanuts for

lemonade. He uses 4 cups of water for

every 1 cup of raisins into his trail mix.

every 6 lemons. Is this the same ratio as

Raymond puts 5 cups of peanuts for

Billy uses?

every 3 cups of raisins. Do the boys use equivalent ratios?

161

Level G

Name

Chapter 9 Lesson 3

Date

Find the unit price for each option and compare to find the best buy.

Column B

5 bottles of juice for $11.75

3 bottles of juice for $8.25

7 t-shirts for $62.93

5 t-shirts for $31.75

3 boxes of crayons for $26.85

6 boxes of crayons for $31.38

16 cupcakes for $47.68

24 cupcakes for $75.60

6 cans of soup for $1.38

10 cans of soup for $1.50

Unit Rate B

Best Buy (A or B?)

Column A

Unit Rate A

162

Level G

Chapter 9 Lesson 3

Word Problems

1. Jeremy's family's car drove 68 miles

2. Daniel was looking to buy his favorite

and used 4 gallons. How many miles

cereal. The large box was $2.16 for 18

per gallon did it get?

ounces, and the small one was $1.21 for 11 ounces. Which one is the better deal per ounce? Show the unit rate for each.

3. Henry bought 5 apples for $2.10. How much did he pay, per apple?

4. Eugene bought 8 gallons of paint for $100. How much did each gallon of

paint cost?

163

Level G

Name

Chapter 9 Lesson 4

Date

n = 15 6 18

m = 16 3 24

1 = p 2 8

5 = 6 2 x

21 = x 27 18

4 = 10 9 t

1 = x � 29 3 27

1 = b � 11 3 4

1 = 8 6 k � 23

Solve the proportions.

164

Level G

Chapter 9 Lesson 4

1. If Frank can buy 4 cartons of eggs for

2. Eric bought 7 apples for $4.20. How

$7, how much would it cost for only 3

much would 5 apples cost? Cross

cartons of eggs? Cross multiply to solve.

multiply to solve.

3. Jordan can make 2 bracelets in 19

4. Phillip washed 8 cars in 3 hours. How

minutes. How long will it take him to

long would it take him to wash 10 cars?

make 5 bracelets? Cross multiply to

Cross multiply to solve.

solve.

165

Word Problems

Level G

Chapter 9 Lesson 5

Name Date

If you can buy one can of tomato sauce for $2 then how many can you buy with $10?

The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinars. Find how many dollars you would receive if you exchanged 22 Dinars.

Cantaloupes are sold for for $7. How many cantaloupes can Josh buy if he uses all of his $21?

The currency in Argentina is the Peso. The exchange rate is approximately $3 = 1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?

If you can buy four lightbulbs for $8 then how many can you buy with $32?

166

Use proportions to help you solve, round to the nearest cent or tenth. Be sure to round to make sense of the situation (you cannot buy part of a product).

Level G

Chapter 9 Lesson 5

1. The grocery store sells its rice all at the

Word Problems

2. Aaron can mow 7 yards in 4 days. How

same price. If a 2 pound bag of rice costs

many days will it take him to mow 21

$5, how much would a 5 pound bag of

yards?

rice cost?

3. Brian's family drove 120 miles on 5 gallons of gas. They put 8 gallons of gas

How many gallons of paint would 7

in their car. How much further can they

rooms use?

drive?

167

4. Each room needs 2.4 gallons of paint.

Level G

Name

Chapter 9 Lesson 6

Date

Find the missing side. Remember to check that you are using the correct, similar side. 1.

5 9

18 x

x= 12

4 10

x= 12 2

36 4

168

Level G

Chapter 9 Lesson 6

Word Problems

1. David drew a 1:10 scale model of his

2. Ethan wants to enlarge a picture. The

school playground. If the slide in his

picture measures 4 inches wide by 6

model measures 1.3, how long does the

inches tall. If he wants to picture to be

actual slide measure?

10 inches wide, how tall should it be?

3. Mark drew two rectangles. One had a

169

4. Frank drew two squares. The scale

length of 6 and a width of 3. The other

factor for them was 2:5. If the smaller

had a length of 9 and a width of 6. Are

square had a side length of 9, what was

these rectangles proportional?

the length of the larger square?

Level G

Name

Chapter 9 Lesson 7

Date

Use the given scale factor to identify the missing side lengths. x=

Scale factor C to D is 1:5

16 S

M N

Scale factor B to A is 2:4

y T

4 21

Scale factor M to N is 1:7 5.

Scale factor S to T is 2:3 6.

y= 40 x

Scale factor U to T is 1:3

Scale factor Q to R is 1:8

170

Level G

Chapter 9 Lesson 7

Word Problems

1. Mark is drawing a map of a tree house.

2. Robert is making his flower bed twice

Each 4 inches represents 5 feet. If Mark

as big. If the length was 7.5 feet, how

draws the ladder to be 10 inches long,

long will it be now?

how long is the real ladder going to be?

4. Daniel has a toy that says it grows up to

a large flag up on a flagpole. The flags

3.5 times in size when placed in water.

shadow is 18 feet long. Terry's shadow is

The toy is 4.5 inches long to start with.

4 feet long and he is 5 feet tall. How long

How large might the toy grow if Daniel

is the flag?

puts it in enough water?

3. Terry is trying to estimate the size of

171

Level G

Name

Chapter 9 Lesson 8

Date

Are these equivalent ratios? Write = if they are and ≠ if they are not. 1.

7 14

18 20

8 6

2 1

4 16

5 20

Solve the proportions. 4.

16 = 8 2 n

m = 7 3 5

9 = x 6 10

7 = 10 x+5 5

4 = 8 m�8 2

4 = r�3 9 6

Find the missing sides. 10. x =

x 32

M 2

10. x =

x N y

Scale factor N to M is 6:1

Determine the unit rate for each scenario. 12. 15 pairs of socks for $18 Unit Rate =

13. 3 flashlights for $38.25 Unit Rate =

172

Level G

Chapter 9 Lesson 8

Word Problems

1. Willie bought 4 pounds of grapes for

2. Christopher reads 15 minutes each

$7. How much did one pound of grapes

night before bed. How long will it take

cost?

him to read 60 minutes?

3. There are 2 purple, 3 green, and 5

4. If Albert uses 2 eggs, he can make

orange socks in a pile. What is the ratio

enough cake to feed 8 people. How

of orange socks to total socks?

many eggs will he need if he wants enough cake to feed 20 people?

173

Chapter10 10 Chapter NYS NG Standards NYS NG Standards

NY-7.RP.3 NY-7.EE.3 NY-7.RP.3 NY-7.EE.3 NY-7.NS.3 NY-7.EE.4 NY-7.NS.3 NY-7.EE.4 NY-7.EE.2 NY-7.EE.2

CC Standards CC Standards 7.RP.A.3 7.RP.A.3 7.NS.A.3 7.NS.A.3 7.EE.A.2 7.EE.A.2

174

7.EE.B.3 7.EE.B.3 7.EE.B.4 7.EE.B.4

174

Chapter 10 continues to Chapter 10 continues to

Review and Build Review and Build Skills with Ratios Skills with Ratios Students will expand their understanding of ratios & proportions and apply this percentages. Students willofreview Students will to expand their understanding ratios what & proportions percentages are and how to convert between fractions, decimals and apply this to percentages. Students will review what and percents. They willhow learn to use percentages to fidecimals nd the percentages are and tohow convert between fractions, percent of a scenario andlearn the missing or whole in atoscenario. and percents. They will how to part use percentages find the Then students will apply these concepts to real world uses of percent of a scenario and the missing part or whole in a scenario. percentages like will tax, apply tip, markdown and simple Then students these concepts to realinterest. world uses of

• How to find a missing part or whole given a percent The skills that they will gain through these lessons include: • The Converting between fraction, decimalthese and percent skills that they will gain through lessons include: • •Applying proportions to percent problems Converting between fraction, decimal and percent • •Using double number lines with percentages Applying proportions to percent problems • •Writing equations to solve percent problems Using double number lines with percentages • Writing equations to solve percent problems Students will learn three strategies to solve percentage problems. One strategy to write anstrategies equation to and convert the percent to Students willislearn three solve percentage problems. a One decimal. The is second strategy is to use double number line to to strategy to write an equation anda convert the percent organize theThe given information and solve. third number strategy line is toto a decimal. second strategy is to use The a double set up a proportion part ÷ whole = percent ÷ 100 model. organize the given using information and solve. The third strategy is to Sometimes students will use the proportion method after they set up a proportion using part ÷ whole = percent ÷ 100 model. organize theirstudents information a double number line. after they Sometimes will with use the proportion method organize their information with a double number line.

175 175

175

percentages like tax, tip, markdown and simple interest. They will learn: • They How to a percent willfind learn: • •How between percent, decimal and fraction Howtotoconvert find a percent • •How percent in a scenario Howtotofind convert between percent, decimal and fraction • •How missing in part or whole given a percent Howtotofind finda percent a scenario

Level G

Name

Chapter 10 Lesson 1

Date

6. © Lighthouse Curriculum. Copying strictly prohibited.

Write the percentage that is shaded in the diagram.

Set up and solve a proportion to find the percent. 7.

2 out of 10

3 out of 50

10. 6 out of 60

11.

2 10

12. 12 20

99 out of 100

176

Level G

Chapter 10 Lesson 1

Word Problems

1. Eugene noticed that 9 of the 12 birds

2. Charles asked 50 students at school

in the lake were diving for fish. What

what their favorite hot lunch dish was,

percent of the birds in the lake were

and 27 said that it was pizza. What

diving for fish?

percent of students chose pizza?

3. Jack ran at least a mile for 13 of the past

177

4. Stephen ate 2 servings of pretzels. If

20 days. What percent of days did Jack

there were 8 servings in the bag, what

run at least a mile?

percent of the bag did he eat?

Level G

Name

Chapter 10 Lesson 2

Date

What is 15% of 300?

What is 20% of 750?

What is 10% of 250?

What is 13% of 150?

What is 23% of 600?

What is 18% of 400?

What is 35% of 700?

What is 11% of 200?

What is 50% of 800?

10. What is 8% of 100?

11.

What is 12% of 200?

12. What is 5% of 300?

Use any strategy to find the missing PART.

178

Level G

Chapter 10 Lesson 2

Word Problems

1. 2 out of the last 6 days have rained.

2. It rained 0.48 inches. Write this as a

What percent of those days rained?

3. 72% of students said that they like to

179

fraction in simplest form.

4. 34% of the time to solve the puzzle

sleep in on summer vacation. Write this

remained. What is this number as a

number as a fraction in simplest form.

decimal?

Level G

Name

Chapter 10 Lesson 3

Date

Complete the table with equivalent numbers.

Fraction

2 30

0.3

20%

3 5

50%

Percent

Decimal

0.04

8 10

180

Level G

Chapter 10 Lesson 3

Word Problems

1. There are 450 students in the school. If

2. 146 of the people at the play recycled

18% of them walk to school, how many

their booklet at the end. If 200 people

students walk to school?

attended the play, what percent of the booklets were recycled?

3. Mark has biked 150 miles this month. If

181

4. 20% of Gregory's class wears glasses.

24% of the miles were uphill, how many

If there are 5 students wearing glasses,

uphill miles did Mark bike this month?

how many are in Gregory's class?

Level G

Chapter 10 Lesson 4

Name Date

Write a proportion in the part/whole = %/100 format and solve. 1.

At a school, there are 40 students who walk to school. Of these students, 38 of them walk more than a mile. What percent of these students walk more than a mile? Round your answer to the nearest whole number if necessary.

At a local zoo, there are 4 bear exhibits. If these bear exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total? Round your answer to the nearest whole number if necessary.

For one science test, Jim had to answer 20 questions. Of these 20 questions, Jim

answered 14 of them correctly. What percent did Jim get correct on his science test? Round your answer to the nearest whole number if necessary.

In a bakery, there are 12 chocolate donuts. If there are a total of 40 donuts, what percentage of donuts are chocolate? Round your answer to the nearest whole number if necessary.

182

Level G

Chapter 10 Lesson 4

1. 36 of the 48 rabbits shown at the fair

2. 15% of the cars in the parking lot were

were white. What percent of the rabbits

blue. If there were 120 cars in the

were white?

parking lot, how many were blue?

Word Problems

4. There are 3 oranges on the counter. If

are about animals. What percent of his

this is 15% of the total pieces of fruit on

books are about animals?

the counter, how many pieces are there in total?

183

Level G

Chapter 10 Lesson 5

Name Date

Use any strategy to solve. Determine if you need to find the tax, tip OR total cost. Round to the nearest cent.

If the total amount of the dinner at a restaurant was $42.00, what should be paid to the waiter as a tip if you give him 15%?

The price of a new small table is $45.50. If the sales tax is 7%, what is the total cost of the table?

Charlie and his family went out to eat at their favorite restaurant. The bill for the food was $65.00, and they a left 20% tip for the server. What was the total cost of their meal

(including tip)?

At a restaurant you order a meal and a beverage that costs $14. The sales tax is 6% and you leave a 20% tip. What is the total cost of the meal?

You and a friend go out to dinner. The cost of the meal is $45.22. The sales tax is 5% and you leave a 16% tip. What is the total cost of the meal?

184

Level G

Chapter 10 Lesson 5

1. Jordan bought a pair of shoes for $22.

Word Problems

2. If Thomas's family left an 18% tip on

The tax was 6%. How much tax did

a $68 meal, how much tip would they

Jordan pay?

leave?

4. Christopher's family just bought a car

items from the factory. If the store

for $9,995. They then had to pay 5%

ordered $780 worth of products from

sales tax. How much did they pay in

the factory, what would the shipping fee

sales tax?

3. There is a 12% shipping fee for ordering

be?

185

Level G

Chapter 10 Lesson 6

Name Date

Find the sales price or discount amount. 1.

A large cabinet costs $230. If it is discounted at 13% off, what would be the discounted amount?

The price of a case of soda at the store is $12. If it is discounted at 20%, what is the total sales price?

A large candy container is on sale for 50% off. What is the price of the candy if it was

A $250 new jacket is on sale for 20% off. What is the new price of the jacket?

A $150 chair is on sale for 15% off. If you buy two of the chairs, what would be the total

orginally $25?

price?

186

Level G

Chapter 10 Lesson 6

1. Joseph bought a new shirt. It was

Word Problems

2. Summer season is nearly over, so the

originally $27.50, but there was a 30%

store has marked all summer items

off sale. How much did the shirt cost?

40% off. James buys some new pool toys that originally cost a total of $34. How much do they cost now?

3. In the mail, John received a coupon for 15% off any purchase at the furniture

on sale. Originally it cost $80, but was

store. He buys a new table with chairs

on sale for $52. What was the percent

that originally cost $600. After the

discount of the chair?

discount, how much does he pay for his purchase?

187

4. Daniel bought a new chair that was

Level G

Name

Chapter 10 Lesson 7

Date

$2,500 at 9% for 5 years

$2,000 at 3.5% for 7 years

$1,600 at 5.5% for 3 months

$600 at 2.3% for 5 years

$10,600 at 5% for 3 years

$800 at 2.5% for 7 years

$2,000 at 7% for 6 years

$1,200 at 9% for 3 years

Use the formula I = Prt to solve the following problems, to find the interest earned.

188

Level G

Chapter 10 Lesson 7

1. Stephen has $2,000 saved in a bank

Word Problems

2. Harold has $700 in a savings bond that

account. If he leaves it there for 3 years

earns 8% interest. How much interest

and it earns 2% interest each year, how

will Harold earn after 5 years?

much interest will he earn?

3. Jonathon has $15,000 saved up for

189

4. Noah needs to buy a new computer

his next car and keeps it in a savings

for school in 6 months. He puts $900

account. He is earning 3.5% interest. If

away in a bank account earning 3%

he doesn't need the money for 4 years,

interest. How much interest will he

how much interest will he earn?

have when he buys the new computer?

Level G

Name

Chapter 10 Lesson 8

Date

Write the percentage that is shaded in the diagram. 1.

Find the missing part, whole or percent.

Find the amount of tax or tip and the total amount.

3% of 320

A new microwave costs $125. The tax was 6%. Tax:

Total:

57% of 680 7.

The total on a restaurant bill was $42.

They leave a tip of 15%. Tax:

15% of 80

Total:

Find the discount and then final cost.

Use the formula I = Prt to find the interest.

A $7.50 t-shirt is 20% off

11.

A $15 backpack is 15% off

12. $5,300 at 8.2% for 6 years

10. A $43 pair of shoes is 7% off

13. $2,000 at 15% for 3 years

$2,700 at 8% for 6 years

190

Level G

Chapter 10 Lesson 8

1. Frank got 18 out of 25 questions right on his test. What was his percent?

Word Problems

2. 5% of the people who watched the play won a special prize. What fraction is this in lowest terms?

3. The ice cream shop sold 160 cones

4. Jeffrey bought a new bookshelf. It

today, 72 of them before noon. What

was originally $45, but was marked

percent of the cones were sold before

20% off. He then paid 6% tax on the

noon?

discounted price. How much did the bookshelf cost, after discount and tax?

191

Chapter 11 Chapter 11

NYS NG Standards NY-6.EE.6 NYS NG Standards

NY-7.EE.3 NY-7.G.5 NY-7.EE.4 NY-6.EE.6 NY-7.EE.3 NY-7.G.5 NY-7.EE.4

CC Standards

6.EE.B.6 CC Standards 6.EE.B.6 7.G.B.5

7.G.B.5

7.EE.B.3 7.EE.B.4

192 192

192

In Chapter 11 we will review In Chapter 11 we will review

We will explore angles and the use of transversals across lines.angles We will use what know about We parallel will explore and the use we of transversals measurements of lines. angles to will solve missing angles. across parallel We use what we know about measurements of angles to solve missing angles. Classifying angles • We will review Classifying anglesthe concept that angles can be acute, rightthe or concept straight based on their • Weobtuse, will review that angles canangle be measurements. acute, obtuse, right or straight based on their angle measurements. Supplementary and complementary • We will learn that Supplementary and supplementary complementaryangles are created when right angle or supplementary straight angle isangles cut into • Weawill learn that aretwo. created Supplementary angles are two angles whose sum is when a right angle or straight angle is cut into two. 180Supplementary degrees while angles complementary angleswhose are two are two angles sum is angles is 90 degrees. 180 whose degreessum while complementary angles are two angles whose sum is 90 degrees. Find missing angles • Wemissing will useangles our knowledge of a right angle Find measurement 90°knowledge and a straight of 180° to • We will useofour of a angle right angle findmeasurement a missing angle measurement. of 90° and a straight angle of 180° to find a missing angle measurement. Interior angles of triangles • We will use our knowledge of a triangular angle sum Interior angles of triangles of• 180° to fiuse nd aour missing angle measurement. We will knowledge of a triangular angle sum of 180° to find a missing angle measurement. Writing equations for missing angles • We willequations use our knowledge angles to solve for an Writing for missingofangles unknown • We willnumber. use our knowledge of angles to solve for an unknown number. Transversal vocabulary and transversal angles • We will learn about transversals and how to find the Transversal vocabulary and transversal angles angle oftransversals a transversaland over parallel lines. • Wemeasurements will learn about how to find the angle measurements of a transversal over parallel lines. 193 193

193

Geometry Concepts Geometry Concepts

Level G

Name

Chapter 11 Lesson 1

Date

Identify the angle as acute, obtuse, or right. 1.

An angle named

LMN that is obtuse.

An angle named

RST that is acute.

An angle named

ABC that is right.

10. An angle named

Y that is obtuse.

Sketch an example of each.

194

Level G

Chapter 11 Lesson 1

1. Alan is biking and makes a left-hand

2. Aaron is building a ramp with his dad.

turn that is 90°. What is another name

The first incline is 27°. What kind of

for this angle?

angle is this?

3. Samuel was walking north. It was

195

Word Problems

4. There is a doorstop to keep the

getting late so he turned around and

classroom door from opening too far.

headed back south to get back home.

The maximum that the door can open

What kind of angle did he go through

before hitting the doorstop is 120°.

when turning around?

What kind of angle is this?

Level G

Name

Chapter 11 Lesson 2

Date

Use the figure below to answer the questions. C D

Which angle is complementary to angle DCB?

Which angle is supplementary to angle ABD?

Name an acute angle in the figure.

Name an obtuse angle in the figure.

P Q R

Which angle is complementary to angle RSP?

Which angle is supplementary to angle QST?

Name an acute angle in the figure.

Name an obtuse angle in the figure.

196

Level G

Chapter 11 Lesson 2

Word Problems

E. Broad S. Main

E. Broad N. Main

Cherry

Rose

1. Several roads intersect downtown.

S. Main

N. Main

Cherry

Rose

2. Several roads intersect downtown.

Name an angle supplementary to the

Name two roads that form an angle

angle formed by N. Main and E. Broad.

complementary to the angle formed by Rose and Cherry Streets.

E. Broad S. Main Cherry

E. Broad N. Main

Rose

S. Main Cherry

N. Main

Rose

3. Several roads intersect downtown.

4. Several roads intersect downtown.

What kind of angle is made by the

intersection of N. Main and Rose?

intersection of S. Main and E. Broad?

197

Level G

Name

Chapter 11 Lesson 3

Date

Find the missing angle. 1.

108O

28O

115O

122O

105O

128O

80O

85O

198

Level G

Chapter 11 Lesson 3

Word Problems

1. Light is bouncing off a mirror in this

2. Vincent's water bottle has a flip top

picture. What is the measure of the

spout that opens up 90°. In order for

missing angle?

water to come out, he has to open it at least 50°. What angle describes the difference between the minimum and

48°

maximum opening angles?

4. At noon, the sun was 90° overhead.

130°. How many degrees are in the

At 6 pm, it was only 25° above the

angle between the book and the table?

horizon. How many degrees did it set

3. Mark's book is on the table and open

in that time?

199

Level G

Name

Chapter 11 Lesson 4

Date

Calculate the missing angle measurement. Identify if the triangle is equilateral, isosceles, or scalene. 1.

85O

130O

20O

50O

Type of triangle:

Missing angle:

4. 80

40O

127O

Type of triangle:

Missing angle:

27O

6. 80O 55O

129O

23O

Type of triangle:

Missing angle:

200

Level G

Chapter 11 Lesson 4

Word Problems

1. A ladder leans against a wall forming a

2. Noah folded a ladder in half to make

right triangle. The ladder makes a 55°

an isoceles triangle with the ground.

degree with the ground. What is the

If two of the angles are 65°, what is the

angle of the ladder as it leans against

last angle measurement?

the house?

3. James drew a triangle for a flag he was designing for his class. He made the

49°, and 101°. Was the shape a triangle?

angles 31°, 118°, and 31°. Did he draw an

Explain.

equilateral, isoceles, or scalene triangle?

201

4. Scott measured three angles as 34°,

Level G

Name

Chapter 11 Lesson 5

Date

Use your understanding of angles to create an equation and solve for x. 1.

2. 2 + xO 95O 5xO

23O

Equation:

105O

5 + 3xO

18O

110O

x + 8O

Equation:

6. 5x - 6O

72O 10x + 2O

66O

Equation:

202

Level G

Chapter 11 Lesson 5

Word Problems

1. James is measuring how the much the

2. Michael made up a riddle to try to

sun moves. He tracks the shadow of the

stump his older sister. He divided a

sun for 4 hours from the starting point

straight angle into two angles. One

he marked on the sidewalk in chalk

angle he wrote 6x − 30. The other angle

until the shadow was directly under the

he wrote 2x + 50. What is the value of x?

object. If the first shadow measurement was 34°, and the second shadow measurement was 90°, what angle did the sun pass through in 4 hours? How much did the sun move each hour?

3. Originally, Thomas drew a triangle and

203

4. Larry is trying to keep track of

labeled the angles 37°, 101°, and 12°, but

airplanes in the sky. He divides a right

that wasn't right because it didn't equal

angle made by the flagpole into 15

180°. So he changed it to 37°, 101°, and

equal-sized sections. What is the angle

(12 + x)°. What is the value of x?

measurement of each section?

Level G

Name

Chapter 11 Lesson 6

Date

Use the transversal across parallel lines below to answer the questions.

B A

F D

Name two angles that are obtuse.

Name a pair of supplementary angles.

Sample answer: Name a pair of alternate exterior angles.

Sample answer: 4.

Name a pair of angles with the same measurement. Sample answer:

Name two acute angles.

Name two corresponding angles. Sample answer:

204

Level G

Chapter 11 Lesson 6

Word Problems

1. When using a pair of scissors, Robert

2. Kevin's house is near the intersection

notices that the angle made by his

of Hill Rd. and Main St. What is the

fingers opening the handles of the

angle relationship between that angle

scissors is the same as the cutting part

and the one where the store is? Oak Dr.

of the scissors. This is an example of

and Hill Rd. run parallel to teach other.

what type of angles? Main St. Kevin's house

Fire station

Hill Rd.

School Oak Dr. Store

4. Kevin's house is near the intersection

Hill Rd. and Main St. What is the angle

of Hill Rd. and Main St. What is the

relationship between that angle and the

angle relationship between that angle

one where the school is? Oak Dr. and

and the one where the fire station is?

Hill Rd. run parallel to teach other.

Oak Dr. and Hill Rd. run parallel to

3. Kevin's house is near the intersection of

teach other.

205

Level G

Name

Chapter 11 Lesson 7

Date

Solve for x. 1.

2. x + 128O 115

132O

7 + xO

4. 90O 11x - 2O 75O

21x + 6O

6. 118O 7xO 6x + 2O

140O

206

Level G

Chapter 11 Lesson 7

Word Problems

1. Harold is planning the intersection of

2. If the measure of angle C is 2x + 15° and

a road and a set of railroad tracks. He's

the measure of angle F is 47°, what is x?

trying out different angles to determine the safest combination. Use this image to answer the following questions. If the measure of angle B is 35°, what is the measure of angle D?

A C E G

B D

F H

4. If the measure of angle E is x + 57° and

the measure of angle H is 3(x +12) + 1°,

the measure of angle C is 3x + 3°, what

what is x?

is x?

3. If the measure of angle A is 4x + 12° and

207

Level G

Name

Chapter 11 Lesson 8

Date

Identify the angle as acute, obtuse, or right. 1.

Find the missing angle. 4.

65O 132O

45O

35O

Solve for X. 8. 75O

3 + 2xO

28O x + 6O

115O

10.

123O 5x - 3O

72O 9xO

208

Level G

Chapter 11 Lesson 8

Word Problems

1. A building is shaped like a triangle.

2. Mark wants to draw a triangle so that

Gregory measures the two bottom

one angle is twice as big and another

angles as 45° and 50°. He can't get

angle three times larger than the first

to the top of the building to measure

angle. What should be the measure of

the top angle. What is that top angle's

the first angle?

measurement?

3. Justin's neighbors have cows, which knocked their fence partially over last

triangle with one angle 50° and the

night. If the fence was standing upright

other two equal, what would be the

and is now only 26° from the ground,

measures of each of the other two

how many degrees did the cows knock

angles?

the fence over?

209

4. If Terry wanted to draw an isoceles

Chapter 12 12 Chapter NYS NG Standards NYS NG StandardsNY-7.G.4 NY-6.G.1 NY-6.G.2 NY-6.G.1 NY-6.G.4 NY-6.G.2 NY-6.G.4

CC Standards CC6.G.A.1 Standards 6.G.A.2 6.G.A.1 6.G.A.4 6.G.A.2 6.G.A.4

210 210

NY-7.G.6 NY-7.G.4 NY-7.G.6

7.G.B.4 7.G.B.6 7.G.B.4 7.G.B.6

210

Chapter 12 reviews and builds skills in Chapter 12 reviews and builds skills in

Students will review area and perimeter of rectangles and Students triangles.will Then students their review area will andexpand perimeter of rectangles understanding to include area andwill circumference and triangles. Then students expand theirof circles and area of composite will then understanding to include shapes. area andStudents circumference of move to 3Dand figures find the surface area and volume circles area and of composite shapes. Students will then of rectangular prisms. move to 3D figures and find the surface area and volume of rectangular prisms. They will learn: • How findlearn: area of rectangles, triangles, Theytowill parallelograms circle • How to findand area of rectangles, triangles, • Howparallelograms to find circumference of circles and circle • How to find area of rectangular • How to fisurface nd circumference of circlesprisms • How to find of rectangular prisms prisms • How to fivolume nd surface area of rectangular • How to find volume of rectangular prisms Students will learn formulas for area of 2 dimensional shapes including They will learn formula Students will circles. learn formulas foralso area of 2the dimensional for circumference of circles. shapes including circles.They Theywill willthen also use learna the formula decomposing strategyof tocircles. find theThey areawill of composite for circumference then use a shapes, where theystrategy need totoadd 2 the shapes decomposing find areaorofsubtract composite 2 shapes. Students nets find surfaceorarea of shapes, where will theyuse need to to add 2 shapes subtract rectangular prisms. They will use theto idea volume 2 shapes. Students will use nets findthat surface area of is therectangular area of theprisms. base times layers Theythe willnumber use the of idea thatwhich volume theyiswill forthe rectangular prisms. It also can be which theutilize area of base times the number of layers applied other shapes in the future. theyfor will utilize for rectangular prisms. It also can be applied for other shapes in the future.

211 211

211

Area and Perimeter Area and Perimeter

Level G

Name

Chapter 12 Lesson 1

Date

Find the perimeter of each shape below. 2.

4 in

2 in

4. 9 yd

14 yd

1 yd

7 yd

List the missing sides given the information. Perimeter = 20 in

Perimeter = 28 yd

12 yd 5 in

Perimeter = 34 in

Perimeter = 18 yd 6 yd

13 in

212

Level G

Chapter 12 Lesson 1

Word Problems

1. Adam is putting a fence around his

2. Next, Adam puts fencing around the

garden. If the garden is shaped like a

fruit trees. He makes a triangle around

rectangle and measures 25 feet by 40

each tree with the sides measuring 7

feet, how much fencing material does

feet on each side. How much fencing

he need?

does he need for each tree?

3. Adam noticed that the gutters that go along each side of his house are not in

fencing around his goat barn for them

good shape and need replaced soon.

to roam. He has 250 feet of fencing left.

His house is in the shape of a square

If he wants the fence to be at least 50

and measures 30 feet on each side.

feet wide, how long can it be at most?

What length of gutters will he need to purchase?

213

4. Finally, Adam wanted to add some

Level G

Name

Chapter 12 Lesson 2

Date

Find the area of each shape below. 1.

A = bh

9 in

2.3 in

0.25 in

4. 14.2 yd

5.3 yd

6.7 yd

7.5 yd

List the missing sides given the information. Area = 37.4 in2

32 yd 5.5 in

Area = 14.25 yd2

Area = 46.8 yd2 6 yd

2.5 yd

214

Level G

Chapter 12 Lesson 2

1. Michael made a parallelogram shaped

Word Problems

2. Andrew is building a chicken coop with

kite. He made the length 13 inches and

his dad. They made it 9 feet wide and

the total area is 175.5 inches². What is

13 feet long. What is the area of the

the height of kite?

floor so they know how much wood to buy?

3. A farmer's field has the shape of a

4. George's family is adding a rectangular

parallelogram. The length is 2.5 km and

deck to the back of their house. They

the height is 1.6 km. What is the area of

want it to be 25 feet long. They have

the field?

enough materials to make a deck that is 325 ft². How wide can the deck be?

215

Level G

Name

Chapter 12 Lesson 3

Date

Use the formula to find the area of the triangle. 1.

1 •b•h 2

5 in 15 in 7 in

9 in

8 yd

7 yd 6 yd

12 yd

Find the area of the composite shapes. 6.

8 in

3 yd

13 yd

2 yd 15 in

14 yd

8. 10 yd 6 yd 10 yd

7 yd 13 yd

9 yd 3 yd 15 yd

216

Level G

Chapter 12 Lesson 3

Word Problems

1. Benjamin's class is designing class flags.

2. Matthew is painting the back of a barn

Benjamin made a triangular flag with

that has a lean-to attached. It looks

a base of 11 inches and a height of 17

like this. He wants to know how many

inches. What was the area of Benjamin's

square feet there are so he can be sure

flag?

to buy enough paint. 20 feet 11 feet 35 feet

3. David wanted to paint triangles on the sidewalk leading up to his front steps.

What is the area of the largest triangle

He is going to paint 7 triangles that will

he could paint on his wall?

each measure 3 feet long and 1.8 feet tall. How many square feet will he be painting in all?

217

4. Timothy's wall is 12 feet by 10 feet.

Level G

Name

Chapter 12 Lesson 4

Date

Find the circumference of circles. Use 3.14 for pi. 1.

C=d•π

22 in

9 in

4. 6 in

5 in

Find the area of the circles. Use 3.14 for pi. 6.

24 in

A = π • r2

16 in

8. 8 in

22 in

218

Level G

Chapter 12 Lesson 4

1. Bill has a 24 inch bike, which means

Word Problems

2. Mark orders a 9 inch (diameter) cherry

that the diameter of his bike wheels are

pie for his mother's birthday. What is

24 inches. How far will his bike go when

the area of the pie? Use 3.14 for pi.

the wheels turn around once? Use 3.14 for pi.

3. David drew a picture of a circle inside of a square as shown. What is the radius of

What is the circumference of the pool?

the circle he drew?

Use 3.14 for pi.

5 feet

219

4. The radius of Ronald's pool is 7 feet.

Level G

Name

Chapter 12 Lesson 5

Date

Determine what shapes you see. Then, find the area of each figure by adding the areas of the smaller figures. Use 3.14 for pi. 1.

4 in

10 in 7 in

5 in

21 in

12 in

23 in

6 in

2.5 in

3 in 8 in 4 in

2 in

6 in

Find the area of the shaded part of the figure. Use 3.14 for pi. 6. © Lighthouse Curriculum. Copying strictly prohibited.

30 in 1 in

7 in

35 in

2 in

15 in 3 in

8 in

22 in

8. 24 in

30 in 4 in

1.5 in

12 in 5 in 18 in

9 in

220

Level G

Chapter 12 Lesson 5

1. A picture measures 5 inches by 7 inches.

Word Problems

2. The school is painting the following

It is placed in a picture frame with a

design on each square of the school's

border of 1.5 inches on all sides. What is

sidewalk. How many square feet of

the area of the border?

gray paint will they need for each square? Use 3.14 for pi. 4 feet

4 feet

4. The shape of Nathan's deck looks like

for a plate he is painting. The base of

this. He needs to know the area of the

the triangle is also its diameter, which

deck so that he can paint it. What is the

is 8 inches. What is the area of the gray

area of Nathan's deck?

shaded section? Use 3.14 for pi.

6 8 inches

e fe

fe e

16 feet

20 feet

221

e fe

fe e

3. Thomas designed the following image

Level G

Name

Chapter 12 Lesson 6

Date

Find the surface area of the following rectangular prisms. SA = 2B + Ph 1.

13 in

3 in

11 in

9 in

21 in

13 in

4. 5 in

5.4 in

2 in 11 in

2 in 1.2 in

5 ft

3 ft

3.2 ft 6.1 ft

25 ft

1.1 ft

9 ft

4 ft

4 ft 14 ft

2 ft

2.4 ft

222

Level G

Chapter 12 Lesson 6

1. A company is trying out different

Word Problems

2. A company is trying out different

shapes for its cereal box for its new

cereal. Cereal box A measures 3 inches

cereal. Cereal box B measures 3 inches

by 8 inches by 10 inches. What is the

by 9 inches by 9 inches. What is the

surface area of this box?

4. A living room measures 12 feet by 18

of cardboard needed under 250 inches².

feet with the ceiling 9 feet tall. If you

Should they use a box that measures 3

painted both the walls and the ceiling

inches by 7 inches by 11 inches or a box

of the living room the same color, how

that measures 4 inches by 6 inches by

many square feet will be painted in all?

3. The company wants to keep the amount

10 inches? Explain.

223

Level G

Name

Chapter 12 Lesson 7

Date

Find the volume of the following rectangular prisms. V=l•w•h 1.

6 in

12.3 in

2 in

7 in

11 in

14 in

4. 5.3 in

18 in

2.2 in 5 in

1.5 in 1.7 in

30 ft 7 ft

15 ft

5.1 ft

11.1 ft

45 ft

8 ft

7.2 ft

3 ft 12 ft

1.4 ft 5 ft

224

Level G

Chapter 12 Lesson 7

1. Jacob is filling a pool. It measures 20

Word Problems

2. Arthur is turning a shoebox into a sand

feet wide, 9 feet deep, and 48 feet long.

tray. The shoe box is 13 inches by 8

How many cubic feet of water will he

inches and he wants the sand to be 3

need?

inches deep. How many cubic inches of sand does he need?

3. Donald is sending his grandma a present in the mail. There is an extra

measures 4 inches by 8 inches by 9

charge if the box is more than 350

inches. What is the volume of his new

inches³. Should he use a box measuring

lunchbox?

3 inches by 10 inches by 13 inches, or a box measuring 5 inches by 6 inches by 11 inches? Explain.

225

4. Elijah chose a new lunchbox. It

Level G

Name

Chapter 12 Lesson 8

Date

Find the area and perimeter of each shape below. 1.

A= 8.2 in

7 in

P= 8 in

7.6 in

5.75 in

A= 15 in

14 in

A= 11 yd

4 yd

3.1 yd 18 in

12 yd

Find the area and circumference of the circles. Use 3.14 for pi. 5.

32 in

9 in

Find the volume of the following rectangular prisms. 8. 7 in

17.5 in

3 in

7 in

12 in

15 in

Find the area of the shaded part of the figure. 5.

40 in

6. 3 in

9 in

52 in

7 in

5 in 8 in

6 in 22.8 in

226

Level G

Chapter 12 Lesson 8

Word Problems

1. Jason's class made a rectangular picture

2. Thomas's class has a reading corner

that measured 3 feet by 4 feet. If they

in the classroom. It is shaped like a

wanted to put ribbon around it as a

triangle and has a length of 8 feet and a

border, what length of ribbon will they

height of 9 feet. What is the area of the

need?

reading corner?

3. How much larger is the area of a 14

227

4. The pizza box for a 12 inch pizza

inch pizza than a 12 inch pizza? Both

measures 2 inches by 13 inches by 13

measurements are diameters. Use 3.14

inches. How much cardboard is needed

for pi.

to make the outside of the box?

Chapter 13 Chapter 13 NYS NG Standards NYS NG NY-7.SP.4 Standards NY-6.SP.3 NY-6.SP.4 NY-6.SP.3NY-7.SP.5 NY-7.SP.4 NY-6.SP.5c NY-7.SP.8 NY-6.SP.4 NY-7.SP.5 NY-6.EE.9 NY-6.SP.5c NY-7.SP.8 NY-6.EE.9

CC Standards 6.SP.A.3 CC Standards 7.SP.B.4 6.SP.B.4 6.SP.A.3 7.SP.C.5 7.SP.B.4 6.SP.B.5 6.SP.B.4 7.SP.C.8 7.SP.C.5 6.EE.C.9 6.SP.B.5 7.SP.C.8 6.EE.C.9

228

228 228

In Chapter 13 will

Review Data in Many Review DataContexts in Many Different Different Contexts In Chapter 13 will

Students will be introduced to probability, analyze data by finding the mean, median, mode, and range of data sets, and Students will be introduced to probability, analyze data by display data in graphs. They will also be introduced to input/ finding the mean, median, mode, and range of data sets, and output tables and connect linear functions to points on the display data in graphs. They will also be introduced to input/ coordinate plane. output tables and connect linear functions to points on the coordinate plane. They will learn: • How to find the probability of events They will learn: • How to find sample space • How to find the probability of events • How to find mean, median, mode and range • How to find sample space • How to create dot plots and histograms • How to find mean, median, mode and range • How to complete input/output tables • How to create dot plots and histograms • How to graph a linear relationship from an input/output table • How to complete input/output tables • How to graph a linear relationship from an input/output table The skills that they will gain through these lessons include: • Multiplying probabilities to find the probability of multi-step The skills that they will gain through these lessons include: problems • Multiplying probabilities to find the probability of multi-step • Create dot plots & histograms problems • Using function rules to complete input/output tables • Create dot plots & histograms • Given an input/output table finding the function rule • Using function rules to complete input/output tables • Given an input/output table how to graph a linear function • Given an input/output table finding the function rule • Matching equivalent equations, input/output tables, and • Given an input/output table how to graph a linear function graphs • Matching equivalent equations, input/output tables, and graphs This chapter does not have as many new strategies but has more new contexts where students will apply strategies and This chapter does not have as many new strategies but has skills they have learned previously. They will review addition, more new contexts where students will apply strategies and subtraction, division, multiplying fractions and evaluating skills they have learned previously. They will review addition, expressions. subtraction, division, multiplying fractions and evaluating expressions.

229 229

229

Level G

Name

Chapter 13 Lesson 1

Date

Look at the table of how we can explain the likeliness, or chance, of an event occurring. Decide which word fits the provided situations. You have a 100 page book... Impossible: opening to page 140

A spinner has six equal sections labeled: 12, 24, 28, 2, 7, 36. How likely would it be for the spinner to... 1. land on a multiple of 12

Unlikely: opening to page 35. Equally Likely as not: opening to

2. land on an odd number

a page greater than 50 Likely: opening to page less than 80

3. land a number smaller than 2

Certain: opening to page less than 500.

4. land on a smaller than 50

Determine how many possible outcomes there are for each situation. Draw a list, tree diagram or table to help. A bag contains a green bead, a white

A coffee shop that sells tea, juice, and

bead and a purple bead. A bead is

coffee in sizes small, medium, and large.

chosen at random from the bag.

How many different combinations can be made for one drink order?

A restaurant has four different vegetables sides: peas, carrots, spinach, or broccoli.

You flip a coin and roll a dice. How many different combinations can be made?

You can choose two different ones. How many different combinations can be made?

230

Level G

Chapter 13 Lesson 1

Word Problems

1. You rolled a number cube (1-6) and

2. You have a bag that contains green,

flipped a coin. What are the possible

red, purple, and orange marbles. What

outcomes?

is the sample space for this situation?

3. There are 3 toys and 2 games on Justin's

4. There are 3 toys and 2 games on

shelf. If he randomly chooses an item,

Justin's shelf. If he randomly chooses

which one is he more likely to choose?

an item, what is the likeliness that he will choose a book? Choose from the words: certain, likely, equally likely, unlikely, and impossible.

231

Level G

Chapter 13 Lesson 2

Name Date

The months of the year: January, February, March, April, May, June, July, August, September, October, November, December

The month starts with a J

The month ends in Y

The month comes after July

The month has 31 days

The month has less than five letters

The month has the letter R

The month is October

If a month is chosen at random, what is the probability that...

232

Level G

Chapter 13 Lesson 2

1. Eric wrote out the word SCHOOL. If he

2. Henry rolled a number cube (1-6).

chose a letter at random, what is the

What is the probability of rolling a

probability of not choosing an O?

number larger than 1?

3. Vincent has 2 green, 4 orange, 3 red,

233

Word Problems

4. Mark made a deck of cards with the

and 3 purple marbles in a bag. If he

numbers 1-20. If he chooses a card at

draws one out at random, what is the

random, what is the probability that it

probability that it is red?

will be a 10 or a 20?

Level G

Chapter 13 Lesson 3

Name Date

For each example, determine if the probability is with or without replacement. Then, find the probability of the situation. Situation

Replacement: With or Without?

Answer

1. A deck of cards is labeled A-Z. Two cards are pulled from the deck. What is the probability of at least one card being a vowel? 2. O ut of a class of 20 students, 10 are wearing blue shirts and 10 are wearing white. A teacher chooses two students at random to present their projects. If the first student is wearing white, what is the probability that the second student is wearing white? 3. S teve reaches into a bag with 5 red © Lighthouse Curriculum. Copying strictly prohibited.

marbles, 3 yellow marbles, and 2 green marbles, and randomly selects one. Then, he puts the marble back, and Sam reaches into the same bag and randomly selects a marble. What is the probability that both guys selected a yellow marble? 4. A bowl contains 4 oranges and 5 apples. Mike randomly selects one piece of fruit, and then Tim randomly selects one of the remaining pieces of fruit. What is the probability that Mike selects a orange and Tim selects a apple?

234

Level G

Chapter 13 Lesson 3

1. James rolled two dice. What is the

Word Problems

2. Samuel made a game where you pick a

probability that both numbers will be

color (red, green, yellow, and blue) and

even?

pick a number (1-5). If these are chosen at random, what is the odds of picking both green and an odd number?

4. Harold rolled a number cube (1-6) and

The bag contains 4 red, 2 yellow, 3

flipped a coin. What is the probability

green, and 4 blue marbles. What is a

that he got heads and a number larger

probability of pulling 2 blue marbles in

than 4?

3. Noah is pulling marbles from a bag.

a row without replacement?

235

Level G

Name

Chapter 13 Lesson 4

Date

Find the mean, median, mode, and range for each data set.

Data

Mean

Median

Mode

Range

1. 102, 107, 99, 102, 111, 95, 91

2. 126, 128, 107, 113, 120, 126

3. 32, 37, 35, 34, 25, 41, 34

4. 81, 75, 73, 79, 75, 89, 72, 80

236

Level G

Chapter 13 Lesson 4

Word Problems

1. Gerald has run a mile every day this

2. Danny mowed a lot of lawns this week.

week. His times were 6 minutes, 8

The amount he earned each day is as

minutes, 6 minutes, 6 minutes, 9

follows: $21, $15, $24, $30, and $15.

minutes, 7 minutes, 7 minutes. What is

What is the mean, median, mode and

the mean, median, mode, and range of

range of his earnings?

his run times?

3. John kept track of how much he read

4. The ice cream shop was open for 9

this week. If he read 6 days this week,

hours today. Find the mean, median,

find the mean, median, mode, and

mode, and range of the number of ice

range of John's following reading times:

cream cones sold per hour today: 12

30 minutes; 60 minutes; 20 minutes;

cones, 44 cones, 35 cones, 75 cones, 25

45 minutes; 60 minutes; 55 minutes.

cones, 22 cones, 35 cones, 30 cones, 10 cones.

237

Level G

Name

Chapter 13 Lesson 5

Date

Complete the dot plot below and then answer questions 1-4. A grocery store weighed the watermelons in the store in ounces. Each weight is showed below.

What is the most common weight of the watermelons?

If all the watermelons that weighed 12 ounces were put into a box, how much would they weigh in total?

What is the difference in weight between the most common weight and the least common weight of the watermelons?

What is the difference between the heaviest watermelon and the lightest watermelon?

238

Level G

Chapter 13 Lesson 5

1. Tyler asked his friends at lunch how

Word Problems

2. How many students had at least 3 pets?

many pets they had. Their responses were: 3, 2, 3, 4, 4, 1, 0, 2, 1, 4, 0, 0, 3, 2, 1, 5, 2, 0, 4, 5, 3. Make a dot plot of this information.

3. Vincent has been keeping track of the average weekly temperature for the last © Lighthouse Curriculum. Copying strictly prohibited.

6 months. Make a histogram to record his results using intervals of 10 degrees: 10°F, 15°F, 21°F, 27°F, 30°F, 28°F, 39°F, 34°F, 46°F, 49°F, 57°F, 53°F, 58°F, 57°F, 65°F, 71°F, 77°F, 73°F, 74°F, 80°F, 82°F, 81°F, 84°F, 78°F.

239

4. How many weeks was the average temperature between 20°F and 50°F?

Level G

Name

Chapter 13 Lesson 6

Date

Complete the tables given the function. 1.

y=x+4

x=y�3

x = 5y

-6

-3

y=x+7

-6

-3

Write the rule. Use the rule to solve for the output, given the input. y= x

-1

-8

-3

-1

-11

-6

-4

-3

y= 4

240

Level G

Chapter 13 Lesson 6

1. When Joseph babysits his cousins, he

Word Problems

2. Ronald's mom made the following

gets paid $6 an hour plus $5 extra. He is

chart for how much money he received

babysitting again this week, and knows

(y) based on the number of chores he

it will be between 3 and 6 hours. Create

did (x). What is the rule?

a function table to show the different amounts of money he could earn.

3. Jacob's brother Donald is 8 years

4. When Ethan woke up, he noticed that

younger than him. Make a graph to

his large aquarium was leaking! It was

show Donald's age when Jacob is 10, 11,

missing 12 gallons of water already

12, 13, and 14.

and leaking 3 gallons an hour. Set up a function table to help Ethan figure out how many hours ago the leak started, starting at 0 and going backwards until you find the start of the leak.

241

Level G

Chapter 13 Lesson 7

Name Date

Find the different representations given the table, graph or equation. 1.

y = 2x

6 5 4

-1

-2

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1

4 5

-2 -3 -4 -5 -6

6 5 4

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1 -2

-3 -4 -5 -6

y=3+x

6 5 4

-3

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1 -2 -3 -4 -5 -6

242

Level G

Chapter 13 Lesson 7

Word Problems

1. A taxi charges $4 per trip plus $1 per

2. At the beginning of the day, Michael

mile. Make a table and graph of a trip

filled his water jug with 8 cups of water.

that is 0, 1, 2, 3, or 4 miles long.

Each hour, he drinks 1/2 cup. Draw a graph to represent this situation.

3. Thomas is walking dogs. He made a

4. There is already 17 inches of water in the

table of how much money he earned

pool Scott puts a hose in and turns it

walking different amounts of dogs.

on. It fills up the pool 8 inches an hour.

Graph the data for him. If he walked 3

How many hours will Scott have to wait

dogs, how much money would he earn?

until the water is at least 60 inches deep? Make a graph to find the answer.

243

Level G

Name

Chapter 13 Lesson 8

Date

Find the mean, median, mode, and range for each data set. Data

Mean

Median

Mode

Range

1. 32, 31, 32, 20, 21, 23, 30

Find the different representations given the table or equation. 2.

y = -3 + x

6 5 4

-1

-2

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1

4 5

-2 -3 -4 -5

For each example, determine if the probability is with or without replacement. Then, find the probability of the situation. Situation

Replacement: With or Without?

Answer

3. J ames throws out the trash two days during the weekdays. He chooses two days at random. What is the possibility that the first day is Monday and the second day is Wednesday? 4. A store sells a box of highlighters that contains 4 yellow, 3 blue, 2 pink, and 1 green highlighter. What is the probability of randomly picking first 1 blue and then 1 pink highlighter from the box?

244

-6

Level G

Chapter 13 Lesson 8

1. How many possible outcomes are there

Word Problems

2. Dennis put the letters MISSISSIPPI in a

if you can choose from 3 types of cereal

bag. If he chose two letters at random

and 3 types of milk?

without replacing them, what is the probability of him choosing an I and then an S?

3. Timothy has 8 white pairs of socks and

245

4. David was comparing the price of

5 black pairs of socks in his drawer. If he

items (x) with the total cost including

pulls out a pair of socks at random, what

shipping (y). Write an equation to

is the probability that it will be black?

describe the relationship shown. x

Chapter 14 Chapter 14 NYS NG Standards NY-7.RP.1 NYS NG Standards

NY-7.EE.4 NY-7.RP.2 NY-7.G.1 NY-7.RP.1 NY-7.RP.3NY-7.EE.4 NY-7.G.4 NY-7.RP.2 NY-7.NS.1NY-7.G.1 NY-7.G.6 NY-7.RP.3 NY-7.NS.2NY-7.G.4 NY-7.SP.5 NY-7.NS.1 NY-7.NS.3NY-7.G.6 NY-7.SP.8 NY-7.NS.2 NY-7.EE.3NY-7.SP.5 NY-7.NS.3 NY-7.SP.8 NY-7.EE.3

CC Standards 7.RP.A.1 CC Standards

7.RP.A.2 7.RP.A.17.RP.A.3 7.RP.A.27.NS.A.1 7.RP.A.37.NS.A.2 7.NS.A.17.NS.A.3 7.NS.A.27.EE.B.3 7.NS.A.3 7.EE.B.3

7.EE.B.4 7.G.A.1 7.EE.B.47.G.B.4 7.G.A.1 7.G.B.6 7.G.B.4 7.SP.C.5 7.G.B.6 7.SP.C.8 7.SP.C.5 7.SP.C.8

246 246

246

In Chapter 14 we In Chapter 14will we will

Review all all Concepts. Review Concepts. We will practice using using the order of operations with rational We will practice the order of operations with rational numbers. We will also practice all operations using integers numbers. We will also practice all operations using integers and delve back into percentages, and interest. We will and delve backratios, into ratios, percentages, and interest. We will practice geometry concepts and create functions and graphs. practice geometry concepts and create functions and graphs.

247

• Order of operations with rational numbers and exponents • Order of operations with rational numbers and exponents • We •will review the steps of the order of operations We will review the steps of the order of operations whichwhich include parentheses, exponents, multiplication include parentheses, exponents, multiplication and division, followed by addition and subtraction and division, followed by addition and subtraction • Integer operations • Integer operations • We •will practice adding, subtracting, multiplying, and and We will practice adding, subtracting, multiplying, dividing negative and positive numbers dividing negative and positive numbers • 1-2 •step equations 1-2 step equations • We •will solve by solving for for We will 1-2 solvestep 1-2equations step equations by solving unknown numbers unknown numbers • Ratio and proportions • Ratio and proportions • We •will practice developing and identifying ratios ratios and and We will practice developing and identifying proportions proportions • Percent, tax/tip, interest • Percent, tax/tip, interest • We •will use what we know aboutabout percentages to findto find We will use what we know percentages taxes,taxes, tips, and tips,interest and interest • Geometry • Geometry • We •will review what we know aboutabout geometrical We will review what we know geometrical concepts concepts • Probability • Probability • We •will find probability of diﬀof erent We willthe find the probability diﬀsituations erent situations • Functions/graphs • Functions/graphs • We •will create graphsgraphs using using tablestables that we create using using We will create that we create basic operations basic operations

247

Level G

Name

Chapter 14 Lesson 1

Date

Solve using the order of operations. (3 •

5 1 ) + (5 � )= 8 4

7.8 • 2.2 + 2 � 1.2 =

5 • 2.5 + (6 • 6) =

(5.3 • 2.2 � 2) + 12 =

78 + 9 • 2 + 5 =

3 1 1 �1 )+ = 8 4 8

248

Level G

Chapter 14 Lesson 1

1. Richard had 1 cup of milk left in one 3

2. James bought 4 toys for his dog that

container and 12 cup left in another. If

cost $2.78 each and a bag of food that

he needed 34 cup of milk for making

cost $7.99. He had a $1.50 off coupon.

cookies, how much will he have left

If he gave the cashier a $20 bill, how

when he is done?

much change will he get back?

Word Problems

4. The class raised $250 for their

$19.50. If he bought 5 blueberry plants

field trip. They decided to go to the

he would get $5 off his purchase. How

museum. If it costs each of the 24

much would it cost for Nathan to buy 5

students $6.50 to get into the museum,

blueberry plants?

and $50 for a special program, how much money will they have left?

249

Level G

Name

Chapter 14 Lesson 2

Date

-8 � 4 =

36 + -23 =

-12 • 12 =

7�9=

-30 � 5 =

-54 • 22 =

8 � -5 =

31 � -14 =

19 • -25 =

10. 18 + -23 =

11.

-15 • 12 =

12. -71 • 26 =

13.

-100 � -25 =

14. -52 � 2 =

15.

12 � -6 =

16. -4 � 4 =

17.

-25 • 6 =

18. -2 • 15 =

Solve the following expressions.

250

Level G

Chapter 14 Lesson 2

Word Problems

1. Last night, the temperature went down

2. Michael is on the 7th floor of a building

3 degrees each hour for 6 hours. What

and his car is 3 floors underground.

integer represents the temperature

How many floors does Michael need to

change?

go down to get to his car?

4. Stephen has $27 in his bank account,

dad the same amount for 4 weeks to pay

spends $14, and then spends another

him back, by what integer will his bank

$5. How much does he have in his bank

account change each week?

account now?

3. Andrew owes his dad $28. If he pays his

251

Level G

Name

Chapter 14 Lesson 3

Date

10(-2d � 16) = 40

-4(6 + 8s) = -88

-16 = -4(4n -4)

9k � 6 + 7 = 28

9(7 � t) + t = -33

9v + 15 = 4v + 10

Solve the problems below.

252

Level G

Chapter 14 Lesson 3

1. At the store, 5 pizzas is $14 more than 3 pizzas. How much does each pizza cost?

Word Problems

2. Write and solve an equation for the following situation: Each book Phillip orders costs an additional $4 in shipping. If Phillip orders 3 books and gets a $10 discount, how much does each book cost if he paid $20 for all the books?

3. Scott gave the cashier $40 for 3 gallons of milk and a new toy that cost $16. He

back or 2 pies and $26 back. How much

got $12 back in change. How much did

does each pie cost?

each gallon of milk cost?

253

4. For $50, John could get 4 pies and $2

Level G

Name

Chapter 14 Lesson 4

Date

Complete the proportional ratios. 1.

n = 6 4 12

m = 30 7 42

1 = p 8 16

Determine the ratios described below. 4.

rectangles to squares

up-arrows to all arrows

Determine the ratios described below. x=

Scale factor A to B is 5:2

Scale factor C to D is 1:8

Are these equivalent ratios? Write = if they are and ≠ if they are not. 8.

6 8

36 48

5 7

20 28

10.

2 17

6 68

254

Level G

Chapter 14 Lesson 4

1. Daniel places 5 red and 2 purple

Word Problems

2. Adam and David are measuring a desk

marbles in a bag. What is the ratio of red

with the same sized measuring tool.

marbles to total marbles?

Adam's measuring tool is divided into thirds, and the desk is 23 of the

measuring tool. David's measuring tool is divided into 36 equal sections. How many sections long will the desk be on David's measuring tool?

3. Gregory wants to draw a scale model of the classroom. If 1 inch on his drawing

coupon, how many shoppers would

is equal to 2 feet in the classroom, how

win if 98 shoppers were at the store?

long should his teacher's desk be if it is actually 7 feet long?

255

4. If 1 out of every 7 shoppers wins a

Level G

Name

Chapter 14 Lesson 5

Date

A store has several items on discount. The list below shows the items and their discounted rate. Find the price of the item after the discount. Round to the nearest cent. Item

Original Price

Discount

1. Item 1

$17

10% off

2. Item 2

$9.61

20% off

3. Item 3

$12.85

15% off

4. Item 4

$23.50

25% off

5. Item 5

$15

20% off

New Price

$2,500 at 9% for 5 years

$1,200 at 12% for 3 years

$1,600 at 5.5% for 3 months

$3,200 at 15% for 6 months

Use the formula I = Prt to find the interest for the following problems.

Calculate tax/tip. Then find the total cost. 10. 5% of $25 = $

11. 10% of $19 = $

12. 15% of $350 = $

13. 22% of $65 = $

256

Level G

Chapter 14 Lesson 5

1. Terry got 46 of the 50 problems correct on his test. What was his percent?

Word Problems

2. Justin went out to eat with his family. Their meal cost $45. If they left a 20% tip, how much tip did they leave?

3. Benjamin put $300 in the bank. If he

257

4. All the items at the store are on sale

earns 3% interest for each of the 5 years

for 35% off. If Carl bought an item that

he leaves it in there, how much interest

was originally $80, how much money

will he earn in all?

would he be saving with the sale?

Level G

Name

Chapter 14 Lesson 6

Date

Find the perimeter and area of the figures. 1.

8 in

2. P=

9 in

7 in

P= A=

12 in

5 in

15 in

Find the circumference and area of the circles. Use 3.14 for pi. 3.

4. C=

30 in

22 in

Find the volume of the figures. 6. 4 in

8 in

1.5 in 13 in

2.3 in 5.3 in

Find the area of the shaded composite figures. Use 3.14 for pi. 7.

9 in 4 in

4 in

7 in

13 in

258

Level G

Chapter 14 Lesson 6

1. Gerald wants to make a duck pond

Word Problems

2. For the play, Henry is designing

game by filling up a plastic, rectangular

the scenery. He's making a car out

tub. The tub measures 1.5 feet by 2 feet

of cardboard. If the wheels have a

by 3 feet. How many cubic feet of water

diameter of 15 inches, how much

does he need to fill it up?

cardboard will he need for one of them? Use 3.14 for pie.

3. Frank is trying to figure out how much siding he needs for the side of the

that is shaped like a triangle with side

house. The bottom of the house is

lengths of 37 feet, 140 feet, and 155

rectangular and measures 20 feet by 13

feet. If he wants to replace the pasture

feet. The top of the house is triangular

fencing, how many feet of fencing will

and measures 20 feet by 12 feet. How

he need?

many square feet of siding should Frank buy?

259

4. Ethan's horses are kept in a pasture

Level G

Name

Chapter 14 Lesson 7

Date

Determine if each example is likely, unlikely, equally likely and unlikely, certain, or impossible. 1.

A coin is flipped and ends up as heads.

A weekday is chosen at random and the day ends in y.

A set of cards numbered 1-100. A card pulled randomly is a 7.

Use the spinner to answer questions 1-3. 4.

What is the probability of landing on B?

What is the probability of not landing on C?

What is the probability of landing on D?

A C

landing on two even numbers

not landing a 2 and a 4

landing on two odd numbers

3 1

If you spin the spinner and roll the die at the same time, what is the probability of...

There are balls in a box: 4 green, 3 red, 2 pink and 1 blue. A ball is randomly selected. 10. What is the probability that you choose 2 red balls without replacement? 11. What is the probability that you choose 2 green balls with replacement?

260

Level G

Chapter 14 Lesson 7

1. Louis used letter tiles to spell the word

2. There are 7 animal books and 4

EXCITED. If he randomly chose two

cookbooks on a shelf. If Patrick

letter tiles without replacing them, what

randomly chooses a book, what is

is the probability that he would choose

the probability that he'll choose a

two vowels?

cookbook?

3. A spinner has 12 sections with an equal

261

Word Problems

4. Russell can choose to have a cake

number of red, blue, and green sections.

or filled doughnut. For toppings, he

What is the probability of getting a

can have glaze, frosting, sprinkles, or

green on a spin followed by red on the

frosting with sprinkles. How many

next spin?

different possible outcomes are there?

Level G

Chapter 14 Lesson 8

Name Date

Find the different representations given the table, graph or equation. 1.

y=3�x

6 5 4

-3

-2

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1

4 5

-2 -3 -4 -5 -6

6 5 4

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1 -2

-3 -4 -5 -6

y = -1 + x

6 5 4

-3

3 2 1

-6 -5 -4 -3 -2 -1 0 1 -1 -2 -3 -4 -5 -6

262

Level G

Chapter 14 Lesson 8

Word Problems

1. In a game, you get 10 points to start

2. Frank uses the equation y = 3x + 8 to

with and 5 points for every can you

find out how much he has saved (y)

knock down. Make a table to show the

after (x) weeks. He wants to buy an

number of points if you knock down 0,

item for $20. Make a graph to show

1, 2, 3, or 4 cans.

how many weeks he'll have to save to buy it.

3. There are 15 ounces of cereal in the box.

4. Jerry made a table of how long (x) he

Harold eats 2 ounces each day. Make

read and how many pages he read (y).

a table and an equation to show how

Graph the data and write an equation

many ounces are left after 0, 1, 2, 3, and

to describe the situation.

4 days.

263