SMART TO THE CORE Teacher’s Edition GRADE 5
Building Depth of Knowledge (DOK)
BOOKLET INCLUDES: Train the Brain Practice Drills - drills on the basic skills associated with each individual benchmark (DOK 1) Target Practice Activities - practice problems requiring the application of skills and real-world problem solving (DOK 2)
Think Tank Questions - non-routine task-based problem sets (DOK 3 and 4) Four-Star Challenge - assessments that measure students’ depth of knowledge including: their ability to reason abstractly, create models, write arguments, and critique strategies. Math Bootcamp - Teacher’s Edition (Grade 5) Publisher: Educational Bootcamp Content Development: Educational Bootcamp Senior Editor: Yasmin Malik Cover Design: Sadiq Malik Copyright © 2014 by Educational Bootcamp J & J Educational Bootcamp Sunrise, Florida 33351 All rights reserved. No part of this publication may be reproduced, transmitted, or stored in a retrieval system, in whole or in part, in any form or by any means, electronic or mechanical, including photocopying, recording, or otherwise, without written permission of Educational Bootcamp.
Printed in the United States of America
SMART TO THE CORE TABLE
OF
CONTENTS
Grade 5 CCSS Code
SMART TO THE CORE LESSONS
FOUR STAR CHALLENGE - SCORING RUBRIC 5.OA.1 (5.OA.1.1) MISSION 1: Using the Order of Operations
PAGE NUMBER 4 5 – 14
5.OA.2 (5.OA.1.2)
MISSION 2: Writing and Interpreting Expressions
15 – 24
5.OA.3 (5.OA.2.3)
MISSION 3: Analyzing Patterns and Relationships
25 – 34
5.NBT.1 (5.NBT.1.1)
MISSION 4: Understanding Place Value
35 – 44
5.NBT.2 (5.NBT.1.2)
MISSION 5: Using Powers of Ten
45 – 54
5.NBT.3 (5.NBT.1.3)
MISSION 6: Reading, Writing, and Comparing Decimals
55 – 64
5.NBT.4 (5.NBT.1.4)
MISSION 7: Rounding Decimals
65 – 74
5.NBT.5 (5.NBT.2.5)
MISSION 8: Multiplying Multi-Digit Whole Numbers
75 – 84
5.NBT.6 (5.NBT.2.6)
MISSION 9: Understanding Properties of Operations
85 – 94
5.NBT.7 (5.NBT.2.7)
MISSION 10: Adding and Subtracting Decimals
95 – 104
5.NBT.7 (5.NBT.2.7)
MISSION 11: Multiplying and Dividing Decimals
105 – 114
5.NF.1 (5.NF.1.1)
MISSION 12: Adding and Subtracting Fractions with Unlike Denominators
115 – 124
5.NF.2 (5.NF.1.2)
MISSION 13: Solving Word Problems Involving Fractions
125 – 134
5.NF.3 (5.NF.2.3)
MISSION 14: Interpreting a Fraction as Division
135 – 144
5.NF.4 (5.NF.2.4)
MISSION 15: Multiplying Fractions
145 – 154
5.NF.5 (5.NF.2.5)
MISSION 16: Comparing a Product to Its Fraction Factor
155 – 164
5.NF.6 (5.NF.2.6)
MISSION 17: Multiplying Mixed Numbers
165 – 174
5.NF.7 (5.NF.2.7)
MISSION 18: Dividing Unit Fractions
175 – 184
5.MD.1 (5.MD.1.1)
MISSION 19: Using Customary and Metric Conversions
185 – 194
5.MD.2 (5.MD.2.2)
MISSION 20: Making and Interpreting Line Plots
195 – 204
5.MD.3 (5.MD.3.3)
MISSION 21: Understanding Volume as an Attribute of Solid Figures
205 – 214
5.MD.4 (5.MD.3.4)
MISSION 22: Measuring Volume by Counting Unit Cubes
215 – 224
5.MD.5 (5.MD.3.5)
MISSION 23: Finding Volume Using Formulas and Composed Figures
225 – 234
5.G.1 (5.G.1.1)
MISSION 24: Graphing and Naming Ordered Pairs
235 – 244
5.G.2 (5.G.1.2)
MISSION 25: Graphing and Interpreting Coordinate Values
245 – 254
5.G.3 (5.G.2.3)
MISSION 26: Reorganizing Attributes of Polygons
255 – 264
5.G.4 (5.G.2.4)
MISSION 27: Comparing Two-Dimensional Figures
265 – 274
ALL
DIVISIBILITY RULES
275 – 276
ALL
Student Grids Example
277
SMART TO THE CORE Recommended Classroom Regimen (Includes all components of the classroom package)
DAY/ TIME
MATH BOOT CAMP: 5-day Regimen DOK 1: BASIC RECALL & RECOGNITION
Day 1 (60 min.)
Benchmark Power Drill: Gradual Release of Basic Skills (10 min.) Hands On Math: Activity by Benchmark (20 min.) Smart to the Core Booklet: Train the Brain Practice 1 (Basic Skills) (15 min.) Smart to the Core Booklet: Target Practice 1 (Basic Application) (15 min.) DOK 1 & 2: BASIC APPLICATION
Day 2 (60 min.)
Rock Climbing Review: Mixed Daily Review - (10 min.) Benchmark Power Drill: Gradual Release of Basic Application (20 min.) Smart to the Core Booklet: Train the Brain Practice 2 (Basic Skills) (15 min.) Smart to the Core Booklet: Target Practice 2 (Basic Application) (15 min.) DOK 2 & 3: APPLYING SKILLS & CONCEPTS/STRATEGIC THINKING
Day 3 (60 min.)
Rock Climbing Review: Mixed Daily Review - (10 min.) Company Drill Game: Review by Benchmark (10 min.) Mathables® by Benchmark: Foldable Activity (20 min.) Mathables® by Benchmark: Think Tank Journaling (20 min.) DOK 3 & 4: STRATEGIC & EXTENDED THINKING
Day 4 (60 min.)
Day 5 (60 min.)
Rock Climbing Review: Mixed Daily Review - (10 min.) Benchmark Power Drill: Modeling Strategic Thinking (25 min.) Smart to the Core Booklet: Train the Brain Practice 3 (Application) (15 min.) Smart to the Core Booklet: Think Tank Question (Strategic Thinking) (10 min.) ASSESSMENT BY BENCHMARK & DIFFERENTIATED INSTRUCTION Smart to the Core Booklet: Four-Star Challenge (20 min.) Smart to the Core Booklet: Review the Assessment (10 min.) Differentiated Instruction: Based on the Four-Star Challenge Results (30 min.) Group 1 - Hands On Math Activity with DOK Worksheet - 1 Star (Intensive) Group 2 - Hands On Math Activity with DOK Worksheet - 2 Stars (Strategic) Group 3 - Hands On Math Activity with DOK Worksheet - 3 Stars (Prevention) Group 4 - Triathlon Game and/or Company Drill Game (Enrichment)
INSTRUCTIONS FOR SCORING THE FOUR-STAR CHALLENGE (1) Multiple Choice Section: Assign one point to all multiple choice items answered correctly. (2) Short Answer Section: Assign a maximum of two points. 2 POINTS - Complete correct response, including correct work shown and/or correct labels/units if called for in the item. 1 POINT - Partial correct response. 0 POINTS - No response, or the response is incorrect.
(3) Think Tank Section: Assign a maximum of four points. 4 POINTS - Shows complete understanding of the problem’s mathematical concepts and principles; uses appropriate mathematical terminology; and executes computations correctly and completely. 3 POINTS - Shows nearly complete understanding of the problem’s mathematical concepts and principles; uses mostly correct mathematical terminology; and computations are generally correct, but may contain minor errors. 2 POINTS - Shows some understanding of the problem’s mathematical concepts and principles; uses some correct mathematical terminology, and may contain major computational errors.
1 POINT - Shows limited to no understanding of the problem’s mathematical concepts and principles; may misuse or fail to use mathematical terminology, but attempts an answer. 0 POINTS - No answer attempted.
Intensive Basic Skills Math Strategies
Application of Strategies
Target for Enrichment
1
2
3
4
The student earns ONE star for correctly answering 49% or less.
The student earns TWO stars for correctly answering 50 - 69%.
The student earns THREE stars for correctly answering 70 - 89%.
The student earns FOUR stars for correctly answering 90 - 100%.
1
1
1
2
3
Tier 3 In need of Intensive Support
4
2
3
Tier 2 In need of Strategic Support
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4
2
3
4
Tier 1 * Proficient, but in need of Benchmark
1
2
3
Tier 1 Proficient Target for
4
MISSION 7: rounding decimals Use place value understanding to round decimals to any place.
Bootcamp STRATEGY 1: Use place values to round decimals to any place. Example: Round 49.253 to the nearest tenths: 4 9 . 2 5 3 STEP 1: Underline the targeted digit to be rounded. STEP 2: Look at the number to the right of the underlined digit. If that number is 0 - 4, then the underlined digit stays the same. If the number is 5 - 9, then the under lined digit must be increased by 1. STEP 3: Change all the digits to the right of the targeted digit to zero. The rounded number becomes: 4 9 . 3 0 0 or 4 9 . 3 Bootcamp STRATEGY 2: Use a number line to round decimals to any place. Example: Round 49.253 to the nearest tenths: 4 9 . 2 5 3
STEP 1: Underline the targeted digit to be rounded. STEP 2: Draw a number line with intervals at the far right and left sides of the line. STEP 3: Keep the targeted digit the same and change all of the digits to the right to zeros. The new number will be (49.200). Place this number on the far left side of the number line. 49.200
STEP 4: Increase the targeted digit by 1 number and change all the digits to the right of the targeted digit to zeros. 49.200
49.300
STEP 5: Add intervals to allow numbers in increasing order to be placed from 49.200 to 49.300 on the number line. Place a dot on the number line that represents the number to be rounded. Determine whether that number is closer to 49.200 or 49.300. 49.200
49.250
49.300
The number is closest to 4 9 . 3 0 0. Therefore, the number rounded to the nearest tenth 49.3. 65 I Copying is strictly prohibited
TRAIN THE BRAIN PRACTICE 1 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Round to the nearest hundredth using place value or number line strategies. 1
5,455.35 5,455.346 = _______________
2
634.43 634.428 = ________________
3
109.90 109.896 = _________________
1,697.64 4 1,697.644 = _______________
DIRECTIONS: Round to the nearest tenth using place value or number line strategies. 5
5,455.3 5,455.346 = _______________
634.4 6 634.428 = ________________
7
109.9 109.896 = _________________
1,697.6 8 1,697.644 = _______________
DIRECTIONS: Round to the nearest whole number using place value or number line strategies. 9
5,455 5,455.346 = _______________
110 11 109.896 = _________________
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634 10 634.428 = ________________
1,698 12 1,697.644 = _______________
Target PRACTICE 1 What is 13.833 rounded to the nearest whole number? Grid your answer.
1
2
Gridded Answer: 14
Perry uses a line of rope that is 26.667 feet long to dock his boat at the marina. What is 26.667 rounded to the nearest tenth?
3
✓
Gridded Answer: 17
4
The chef at a Japanese restaurant is preparing a tuna that weighs 25.342 pounds. What is the weight rounded to the nearest hundredth?
A
26
A
25
B
26.7
B
25.34
C
26.67
C
26
D
27
D
25.4
Select all of the numbers that are 0.6 when rounded to the nearest tenths.
5
The price paid for 25 grams of silver in U.S. dollars is $16.75. What is the price paid when rounded to the nearest whole number? Grid your answer.
6
Select all of the numbers that are 0.72 when rounded to the nearest hundredths.
The decimal 0.52
The decimal 0.709
The decimal 0.64
The decimal 0.711
The decimal 0.48 The decimal 0.66
✓
The decimal 0.723
✓
The decimal 0.56
✓ The decimal 0.717 The decimal 0.729
✓
The decimal 0.62
The decimal 0.727
The decimal 0.72
The decimal 0.713
✓ The decimal 0.58 The decimal 0.68
✓ The decimal 0.719 The decimal 0.707
The decimal 0.54
✓ The decimal 0.721 67 I Copying is strictly prohibited
TRAIN THE BRAIN PRACTICE 2 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Round to the nearest hundredth using place value or number line strategies. 1
7,503.80 7,503.802 = ______________
500.64 2 500.637 = ________________
3
920.47 920.467 = _________________
3,537.62 4 3,537.621 = _______________
DIRECTIONS: Round to the nearest tenth using place value or number line strategies. 5
7,503.8 7,503.802 = _______________
500.6 6 500.637 = ________________
7
920.5 920.467 = _________________
3,537.6 8 3,537.621 = _______________
DIRECTIONS: Round to the nearest whole number using place value or number line strategies. 9
7,504 7,503.802 = _______________
501 10 500.637 = ________________
11
920 920.467 = _________________
3,538 12 3,537.621 = _______________
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Target PRACTICE 2 1
3
Mars takes about 686.87 Earth days to orbit the Sun. What is 686.87 rounded to the nearest whole number?
2
A
686
A
5
B
686.8
B
5.23
C
686.9
C
5.24
D
687
D
6
Sandy picked out a ribbon that is 15.485 inches long. What is 15.485 rounded to the nearest tenth? Grid your answer.
4
Select all of the statements that are true about the table. Snow Height Recorded
What is 0.236 rounded to the nearest hundredth? Grid your answer. Gridded Answer: 0.24
Gridded Answer: 15.5
5
The population density of a state is 5.235 people per square mile. What is the population density per square mile rounded to the nearest whole number?
6
Select all of the statements that are true about the table. Rainfall Recorded
When rounded to the nearest tenths, Monday was 14.5 in.
When rounded to the nearest ✓ hundredths, April was 2.35 in.
When rounded to the nearest tenths, ✓ Monday was 14.6 in.
When rounded to the nearest hundredths, April was 2.34 in.
When rounded to the nearest tenths, ✓ Wednesday was 15.6 in.
When rounded to the nearest ✓ hundredths, July was 4.58 in.
When rounded to the nearest tenths, Wednesday was 15.7 in.
When rounded to the nearest hundredths, July was 4.57 in.
When rounded to the nearest tenths, Saturday was 17.8 in.
When rounded to the nearest ✓ hundredths, October was 8.90 in. 69 I Copying is strictly prohibited
TRAIN THE BRAIN PRACTICE 3 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Answer the questions below. 1 The population density of a city is 7.658 people per square mile. What is the population density per square mile of the city rounded to the nearest whole number? Answer: 8 people per square mile 2 Peter found a stone that has a mass of 54.32 grams. What is the mass of the stone rounded to the nearest tenth? Answer: 54.3 grams 3 John records the value of 1 euro in U.S. dollars each day for a class assignment. The table shows the data he has recorded so far. What day does the value of 1 euro round to $1.48 to the nearest hundredth? Day
Value of 1 Euro (in U.S. Dollars)
Monday
1.423
Tuesday
1.478
Wednesday
1.425
Thursday
1.422
Answer: Tuesday
4 A tree in front of Silver Knights Elementary School is 5.768 feet tall. What is 5.768 rounded to the nearest tenth? Answer: 5.8 feet 5 Joaquin’s batting average is 0.2779. What is his batting average rounded to the nearest tenth? Answer: 0.3 6 Adrian found a rock on the beach that has a mass of 7.568 kilograms. What is the mass of the rock rounded to the nearest tenth? Answer: 7.6 kilograms 7 The flagpole in front of Dreston University is 17.365 feet tall. What is 17.365 rounded to the nearest tenth? Answer: 17.4 feet
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THINK TANK QUESTION DIRECTIONS: Study the list of decimals below. Use the decimals to complete the tasks. Part I: Connect the decimals on the arrow to the decimals on the number ladder by drawing a line indicating where the decimals are closest. 1.0
0.42
0.96
0.8 0.6
0.18
0.57
0.4 0.2 0.0
0.24
0.81
Part II: Complete the table below by rounding the decimals to the nearest tenth. Decimal
Round to the Nearest Tenth
0.42
0.4
0.18
0.2
0.24
0.2
0.96
1.0
0.57
0.6
0.81
0.8
Part III: Write a brief explanation of how you rounded the decimals to the nearest tenth.
If the hundredths digit of the decimal is greater than or equal to 5, we round up. If the hundredths digit of the decimal is less than 5, we round down.
71 I Copying is strictly prohibited
FOUR-STAR CHALLENGE - 5.nbt.4 (5.nbt.1.4) 1
What is 153.795 rounded to the nearest hundredth? Grid your answer.
2
Gridded Answer: 153.8
3
5
Mona has a tank of water that weighs 56.763 kilograms. What is the weight of the full tank when rounded to the nearest tenth? A
56
B
56.8
C
56.7
D
57
Select all of the numbers that round to 5.2 when rounded to the nearest tenth.
4.971
✓ 5.15
Orin lives 7.856 miles from school. What is the distance rounded to the nearest whole number? Grid your answer. Gridded Answer: 8
4
6
A penny has a diameter of 0.750 inch. What is 0.750 rounded to the nearest hundredth? A
5
B
1
C
0.75
D
0.76
Select all of the numbers that round to 6.58 when rounded to the nearest hundredth.
✓ 6.584 ✓ 6.579
5.109
6.588
✓ 5.172
6.573
✓ 5.24
72 I Smart to the Core I Educational Bootcamp
✓ 6.575
7
Round the following decimals to the nearest tenth or to the nearest hundredth as indicated.
A. Round the decimals to the nearest B. Round the decimals to the nearest tenth. hundredth. Decimal
Nearest Tenth
Decimal
Nearest Hundredth
0.67
0.7
0.123
0.12
0.16
0.2
0.697
0.70
0.39
0.4
0.549
0.55
3.74
3.7
8.429
8.43
25.44
25.4
15.284
15.28
8 Solve the word problems below. Show your complete solution. A. Round the numbers below first to the B. Round the numbers below first to the hundredth place, then to the tenth hundredth place, then to the tenth place. place.
Number
To the Hundredth Place
To the Tenth Place
Number
To the Hundredth Place
To the Tenth Place
45.624
45.62
45.6
3.974
3.97
4
31.735
31.74
31.7
3.628
3.63
6.3
4.982
4.98
5
71.431
71.43
71.4
1.188
1.19
1.2
0.567
0.57
0.6
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1
2
3
4
THINK TANK QUESTION 9
DIRECTIONS: Study the list of decimals below. Use the decimals to complete the tasks. Part I: Arrange the decimals in order from least to greatest. 0.982
0.237
0.584
3.809
9.672
5.482
0.237 < _____ 0.584 < _____ 0.982 < _____ 3.809 < ______ 5.482 < _____ 9.672 _____ Part II: Complete the table below by rounding the decimals to the nearest hundredth. Decimal Round to the Nearest Hundredth 0.982
0.98
0.237
0.24
0.584
0.58
3.809
3.81
9.672
9.67
5.482
5.48
Part III: Complete the table below by rounding your answers from Part II to the nearest tenth. Decimal
Round to the Nearest Tenth
0.98
1.0
0.24
0.2
0.58
0.6
3.81
3.8
9.67
9.7
5.48
5.5
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MISSION 15: multiplying fractions Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. (A) Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.) (B) Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Bootcamp STRATEGY 1: Use models to find the product of fractions. Step 1: Draw the number of rectangles indicated by the second multiplier. Step 2: Divide the rectangles to get the number of boxes indicated by the denominator of the first multiplier. Step 3: Shade in the number of rectangles as indicated by the numerator in the first multiplier. Step 4: Determine how much of the rectangles have been shaded. This will represent the answer.
Example 1:
7 × 5 = ? 10
Example 2:
1 7 ×5 = 3 2 10
2 × 1 = ? 3 4
2 × 1 = 2 12 3 4
Bootcamp STRATEGY 2: Use an area model to multiply fractions. Step 1: Draw a rectangle. Step 2: Place the first multiplier on the left and the second multiplier on the top of the rectangle. Step 3: Break apart the multipliers and divide the rectangle according the fraction being represented. Step 4: Multiply each area of the rectangle. Step 5: Add the area from each section to get the answer. Example:
2 14 × 1 23 = 1
2 3
2 3
1
2
=
1
2
1 4
2
2×1=2
2×⅔=4 ̸3=11 ̸3
1 3̸ = 1 ̸ = 4 1
1 4
¼×1=¼
2
1
¼ ×⅔= ̸12 = ̸6
̸6 =
2 4
̸1
̸ 3
=
24
̸1 2
=
16
̸2 1
̸1 2 ̸1 2 ̸12 = 3 3 4̸
1
̸4
=
3
1
̸6
= +
2 45
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TRAIN THE BRAIN PRACTICE 1 5.NF.4 (5.NF.2.4) DIRECTIONS: Use a model to find the product of the fractions. 12 3 1 9 or 9
1
4 × 9
3
3 × 1 = 3 8 2 4
3
=
= 12 or 1 4 8 8
2
3 × 8
4
1 × 2 = 2 5 15 3
4
DIRECTIONS: Use an area model to find the product of the following fractions. 5
19 1 4 × 2 3 = 99 4 or 20 20 4 5
6
7
7 2 3 × 1 2 = 55 4 or 12 12 4 3
8
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2 × 1 = 2 8 2 4
2 1 × 1 1 = 36 3 12 or 4 3
Target PRACTICE 1 1
There were 54 people at a party. 4 If 6 of the people ate chocolate cake, how many people ate chocolate cake?
2
36
A
18
B
26
B
24
C
46
C
23
D
56
D
15
At the fair, 6 of the prizes are teddy 1 bears and 5 of the prizes are candy necklaces. If there are 60 prizes on the table, how many prizes are either teddy bears or candy necklaces? Grid your answer.
4
✓
3 1 3
Jonas must move 32 of a stack of 7 boxes. So far, he has moved 8 of the boxes he needs to move. How many more boxes does Jonas need to move? Grid your answer.
Gridded Answer:
Gridded Answer: 32
5
4
A
2
3
A gardener used 83 of a package of mulch for 1 yard. How much mulch does he need for 4 yards?
2 24
Identify the statements that are true of the multiplication model below.
6
Identify the statements that are true of the multiplication model below.
The model shows how to find the product of 49 and 25 .
✓
The model shows how to find the product of 27 and 56 .
The model shows how to find the 3 product of 59 and 5 .
The model shows how to find the 5 product of 57 and 6 . . ✓ The product of the model is 10 42 5 The product of the model is 10 .
✓ The product of the model is The product of the model is The product of the model is
15 45 8 45 8 15
. . .
The product of the model is
5 42
.
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TRAIN THE BRAIN PRACTICE 2 5.NF.4 (5.NF.2.4) DIRECTIONS: Use a model to find the product of the following fractions. 1
1 × 12
= 4 12
2
5 × 6
3
3 × 1 = 3 4 28 7
4
1 × 3 = 3 5 20 4
4
2
= 10 or 1 4 6 6
DIRECTIONS: Use an area model to find the product of the following fractions. 5
2 3 × 2 1 = 117 or 5 17 20 20 4 5
6
7
2 3 × 2 1 = 77 or 5 5 21 4 12 3
8
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1 × 5 = 5 28 7 4
7 2 1 × 3 1 = 63 7 or 8 8 4 2
Target PRACTICE 2 There were 72 men who participated 1 in a survey. If 85 of the men surveyed owned a computer, how many of them owned a computer? Grid your answer.
5
Sophia used 7 of a yard of frill for a 2 dress. How much frill does she need for 3 dresses? Grid your answer. Gridded Answer: 2 17
Gridded Answer: 45
2
In the school chorus, 5 of the students 3 are first graders and 31 of the students are fifth graders. If there are 45 students in the chorus, how many students are either first or fifth graders?
5
A
15
B
18
C
27
D
33
A
B
Identify the product. Select all that apply.
5 9
4
Alison lives 7 of a mile from school. 4 She already walked 145 of the mile to school, how much has Alison walked to get to school?
× 3 =
The product is The product is ✓ The product is
The product is The product is ✓ The product is
1 2 4 4 3 1 6 9 5 27 9 15 15 9
_____
6
10 mile 32 4 14 mile
C
56 28 14
D
20 98 mile
mile
Identify the product. Select all that apply.
3 10
× 7 = _____
✓ The product is
21 10
✓ The product is
2 1 10 2 3 7 2 3 10 11 10 70 3
The product is
The product is The product is The product is
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TRAIN THE BRAIN PRACTICE 3 5.NF.4 (5.NF.2.4) DIRECTIONS: Answer the questions below. 1 Samantha has 12 marbles and marbles are blue? Answer: 6 marbles
1 2
2 Pablo drew 21 pictures. He drew Pablo draw in art class?
of them are blue. How many of Samantha’s
2 3
of them in art class. How many pictures did
Answer: 14 pictures
1
3 Jacques bought a 4-pound bag of onions. He uses 4 of the bag to make French onion soup. How many pounds of onions does Jacques use for the French onion soup? Answer: 1 pound
2
4 Bobby lives 3 of a mile from school. Pascal lives twice as far from school as Bobby. How many miles does Pascal live from school? Answer:
1 1 3
miles
1
5 Mr. Patterson’s water tank holds 16 gallons of water. He used 4 gallon of water last week. How many gallons of water does he have left in his tank? Answer: 12 gallons
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THINK TANK QUESTION DIRECTIONS: Use the scenarios given to complete the following tasks.
2
Part I: Maggie rolled a die once. It landed on the number 6. Multiply 6 by 3 . Show your calculations.
12 =4 3
Part II: Maggie rolled the die again. It landed on the number 2. Multiply 2 by the answer you got in Part I. Show your calculations.
24 =8 3
Part III: Maggie rolled the die a final time. It landed on 4. Multiply 4 by the answer you got in Part II. Show your calculations.
96 3
= 32
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FOUR-STAR CHALLENGE - 5.nf.4 (5.nf.2.4) In a shipment of 24 T-shirts, 93 of 1 them were large. How many of the Tshirts were large? Grid your answer.
5
Gridded Answer: 84 3 9 9 or 9
A painter mixed 31 of a can of red paint with 95 paint. He added some white paint to lighten the color If the painter made 90 quarts of purple paint, how much paint was either red or blue? 90 quarts A B
developer plans to build homes 4 on 9 .of the acres of land purchased. If the land is 21 acres, how Grid your answer.
Gridded Answer: 72 or 8 9
3
2
gives him a container 4 Paul’s teacher 1 that holds 4 liter of a blue liquid. Paul needs to use 52 of this liquid for an experiment. How much blue liquid will Paul use for the experiment? A
3 20 liter
B
5 8 liter
C
2 20 liter
D
4 5 liter
80 quarts
C
50 quarts
D
30 quarts
Select all of the statements that are true of the area of the rectangle below. 3 4
6 Select all of the statements that are true of the area of the rectangle below. 4 feet
feet
2 feet
✓ The area is The area is
The area is ✓ The area is The area is
1 2 4 7 2 3 8 6 4 8 3
feet. feet.
feet.
2 4
✓ The area is The area is
feet
8 feet. 4 10 feet. 28
✓ The area is 2 feet.
feet.
The area is
4 9
feet.
feet.
The area is
28 35
feet.
152 I Smart to the Core I Educational Bootcamp
7
Find the product of the fraction and a whole number. Show your complete solution.
A.
3 7
× 4=
Answer: 12 or 1 5 7 7
8
B.
5 9
× 3=
Answer: 15 or 1 4 9 6
Find the product of the improper fraction and a whole number. Show your complete solution.
A.
Answer:
8 5
× 4=
32 2 6 or 5 5
B.
9 4
× 3=
Answer: 27 or 6 3 4 4
153 I Copying is strictly prohibited
1
2
3
4
THINK TANK QUESTION 9
DIRECTIONS: Use the scenarios to complete the following tasks.
9
Part I: Shawn rolled a die. It landed on the number 7. Multiply 7 by 5 . Show your calculations.
63 5
= 12 35
Part II: Shawn rolled the die again. It landed on the number 2. Multiply 2 by the answer you got in Part I. Show your calculations.
126 5
= 25 15
Part III: Shawn rolled the die one last time. It landed on the number 5. Multiply that number by the answer you got in Part II. Show your calculations.
630 5
154 I Smart to the Core I Educational Bootcamp
= 126