Special Offer See back cover
Mastering Bright Ideas
Skill After Skill Lighthouse is an elementary school curriculum that your school can seamlessly implement.
Complete Sets Use a consistent curriculum throughout all grades
Custom Illustrations An exciting, vibrant learning experience
All-in-one Book No separate textbooks, workbooks, or exams necessary
With the custom Lighthouse assessments, you’ll know exactly which skills your students mastered and how to help them progress in an organized manner.
A Better Way to Teach Lighthouse Curriculum was created by more than thirty educators. After decades in education, we knew first-hand that pulling together an effective curriculum is difficult. Many are bloated with unnecessary information, forcing educators to sift through and piece together a system on their own. The end result curriculum is often fragmented, leaving the students without the skills they need to advance. As the grades progress, the gap becomes larger and larger.
The team believed it could — and should — change. It’s possible for an education to be:
Simple: for teachers to teach, for students to learn, and for schools to implement
Comprehensive: covering all elementary years
Effective: giving students a solid grasp of the content they need to master
The Next Chapter of Success What’s inside each book?
14
chapters COMPRISING OF
8
lessons
8
exercise sheets
inclusive review for each chapter
Lighthouse Curriculum uses a scaffolded approach to learning. Master one chapter completely and then use it to reach the next.
Comprehensive Content
Thorough Review
CulturallySensitive
The curriculum covers everything that students need to learn — without the distraction of unnecessary information.
Review is a critical part of each student’s retention. Consistent, effective review is built into the curriculum several times — at the start of each lesson, the end of each chapter, and the beginning of each new book.
The vibrant, customillustrated books are filtered to bypass topics that some schools prefer to avoid.
For New and Seasoned Teachers
Practice and Assessments
Online Resources
The books include practice and assessments, saving teachers from having to create their own. The practice is thorough but not overwhelming, allowing students to move along to the next chapter without getting caught in excessive review.
In the event that teachers feel extra resources are warranted, they can access additional review sheets, teacher’s resources, and assessments through our online portal or USB.
There’s no need for teachers to be overwhelmed by sifting through the curriculum. The books have clear, concise lesson plans and exact scripts, which teachers from any range of experience can use.
Explore Lighthouse Let’s Learn Introduce new skills
Try It Together Guided practice
Pencil Instructs students to practice
Teacher Notes Tips and ideas for each lesson
Meet Flash! The Lighthouse mascot pops in to help students learn and review
Daily Review Gives practice examples on the previous day’s lesson Learn and Connect Introduces the skill
Apply Provides practice of the skill taught
Blue
Red
Lesson pages
Exercise or practice pages
Level D Chapter 6-1
Chapter 6-1 Dividing by 1 - 6 Daily Review
Objective / Learning Goals
Lesson Resources All the lesson’s resouces organized in a comprehensive list.
1.
y Explain the meaning of division y Make equal groups with divisors 1-6
Solve. 2.
37 + 66
103
Vocabulary
3.
200 - 54
146
2 ×8
16
Learn and Connect
y Quotient - the answer in a division problem; 15÷3=5 y Divisor - the number you’re dividing by; 15÷3=5 y Dividend - The number being divided; 15÷3=5
Jim and Rob are packing 18 cupcakes at a local bakery. Each box can hold 2 cupcakes. How many boxes will they need to pack? How many cupcakes do they need to pack? How many cupcakes go in each box?
Materials
18
2
Use the pictures below to solve 18 ÷ 2 = 9
y Pennies, counters or dried beans y Graph paper Jim and Rob will need to pack cupcakes.
Use guiding questions as well as other techniques to properly prepare your students for the lesson.
Teacher's Guide Lesson by lesson, page by page, the Teachers Edition is beautifully crafted for a first-year teacher as well as for teachers with years of experience.
boxes of
Class Skip Count: Practice skip counting as a class or in small groups. [by 2s] Have 1 student stand up and say 2, then the next student stands up and says 4, a third student stands up and says 6…. Continue until there are 5 students standing. What number does the 5th person say? [10] Show that when 5 students each skip count by 2, they get to 10. Explain that 10 divided by 5 students is 2 [and that is the number they skip counted by] Try again with 3. Remember to have students stand up and remain standing. Show that the number of students standing times the number you skip count by equals the final number said. Write it on the board. Student
1
2
3
4
Skip count
3
6
9
12
© Lighthouse Curriculum. Copying strictly prohibited.
Apply
Pre-Lesson Warm-up Guiding Questions
Pre Lesson
9
Divide. 1.
9÷9=
6. 60 ÷ 6 =
1
2. 4 ÷ 2 =
2
3. 48 ÷ 6 =
8
4. 18 ÷ 3
10
7. 12 ÷ 3 =
4
8. 28 ÷ 4 =
7
9. 24 ÷ 3
1
3)3
11.
5
16. 6)30
12.
6
1)6
2
17. 6)12
4
13. 4)16
18.
4
1)4
4
14. 5)20
7
19. 3)21
Vocabulary Quotient - the answer to a division problem Divisor - a number by which another number is to be divided Dividend - the number being divided 104
Level D
Chapter 6
Lesson 1
Introduce the Lesson (Learn and Co
Read the cupcake problem out loud. Have students circ cupcakes and underline the line 2 cupcakes per box.
How many students are standing? [4]. 4 times 3 is 12. What is 12 divided by 4? [3] Continue skip counting to 21. Show that 21 divided by 3 is…[7 students standing]
How many cupcakes do they have altogether? [18] How many fit in each box? [2] Let’s skip count and circle the groups of 2 cupcakes. Ho you make? Help students circle 9 groups of 2 cupcakes
Guiding Questions 1. What is the fact family for 12 that relates multiplication to division? [3x4=12 4x3=12, 12÷3=4, 12÷4=3] Write fact families on the board or with students. 2. How can we relate product and factors to the vocabulary terms for division, dividend, divisor and quotient? [12÷4=3 12= dividend 3x4=12 12 is the product; 3 and 4 are the divisor or quotient, in the multiplication, 3 and 4 are the factors] 3. What does it mean to make equal groups? [Division means to separate into equal groups. We can make equal groups using arrays too].
We started with 18 cupcakes, that’s the dividend. The divided into groups. We divided by 2 or into equal grou The divisor is the size of each group. And what is the q the number of groups or boxes we could fill.
106
Hands-on activity 1. Set up 12 counters, cards or dried beans - make 2 eq in each group? Can you make 3 equal groups? Wha 2. Can you make equal groups of 5? [no] Why or why of 5, but then there are 2 left over] Help students p groups, and discuss how they know whether they a 3. Review array. Have students make an array of 3 row 4. On graph paper or plain paper, draw all possible arr 5. Draw 3 circles and divide the 12 counters or dots eq 6. Reinforce that the dividend is the number you have, is the number you are dividing by to make equal gro
Lighthouse Math Teacher’s Guide
Lesson Introduction A comprehensive guide on teaching each lesson. Teachers with any range of experience will benefit from reviewing this before beginning the lesson.
Answer key for the Students Workbook available on the page for the teacher’s reference.
4.
1
Struggling Learners
Divide.
3 ×6
18
1.
6÷1=
6.
60 ÷ 6 =
11.
6
2.
48 ÷ 6 =
8
3.
40 ÷ 5 =
8
4.
18 ÷ 3 =
6
5.
10
7.
12 ÷ 3 =
4
8.
3÷1=
3
9.
42 ÷ 6 =
7
4÷2=
2
13.
12÷6 =
2
14.
3÷1=
3
5÷1=
5
8
21.
17. 5)25
8
3
1)8
22. 4)12
5
3
26. 4)20
=
6
5.
2÷1=
2
=
8
10. 24 ÷ 4 =
6
31.
8
15. 2)16
9
20. 6)54
12.
5
16. 2)16
0
7
Level D Chapter 6-1
Exercise 6-1 Name
27. 5)15
5
9
2)10
32. 2)18
9
18. 3)27
23.
9
1)9
8
5)45
24.
2)8
29. 6)30
3
4
3)9
34. 4)16
onnect)
cle the keywords 18
ow many groups of 2 can s.
dividend is what’s being ups of 2. That’s the divisor. quotient? The quotient is
qual groups. How many are at about 4? not? [can make 2 groups practice making equal are equal or not ws of 6 counters. rays for your 18 counters. qually into them. , or start with; the divisor oups.
3
10.
1÷1=
1
15.
35 ÷ 5 =
7
Encourage students to envision what the problem is by putting the numbers into the context of a relatable story. For example, the student has to split equal shares of something such as food with family so that everyone gets an equal share. Draw pictures for each equation. Have students draw empty circles for the divisor and then divide up the dividend, like dealing out cards one by one into the circles. Say the equations outloud and confirm, what do we start with? [dividend] Divided into how many in each group? [divisor]; Use a highlighter or circle the divisor; skip count with dots to show equal groups.
6
20. 4)24
9
25. 6)54
6
35. 6)36
Solve each problem. 36. Mrs. Smith has 54 pencils she wants to distribute equally among 9 students. How many pencils will each student get?
Lighthouse Math
37. Pat has 21 lollipops and wants to put 3 into each party bag for his birthday. How many party bags will he be able to make?
7
Level D
Chapter 6
Exercise 1
Struggling Learners and Early Finishers Fantastic tips to help those that struggle to keep up, and on the flip side, ideas to keep the early finishers occupied.
Early Finishers
7
30. 4)28
Challenge
6
Lighthouse Math
4
5
28. 3)24
33.
9
19.
18 ÷ 6 =
© Lighthouse Curriculum. Copying strictly prohibited.
4
Answer Key
105
Play the division game with larger numbers, with and without beans. Students can choose a dividend and roll for the divisor. List the fact families and make arrays on graph paper for 24, 30, 36, 40, 48, 50, 100.
Challenge and Explore Read the word problems together. Explain or write a word problem that uses the same fact family but is worded in a new way. For example, instead of 54 pencils divided among 9 students, there could be 54 pencils, and the students get 6 pencils each. Or, there are 6 students, and how many pencils will each get? How are these the same? How are they different?
Review the dividend, divisor and quotient for problem 1. Discuss what the equation means in terms of equal groups. For example: 6÷1 means 6 divided into 1 equal group. How many are in that one group? [6]
Play Roll for Equal Groups to make division problems and practice naming dividend, divisor and quotient. p. 277
Assess
Students may multiply or subtract instead of divide. Students confuse 6÷6 = 1 and may say 6÷6 = 0 ; Discuss why you can’t divide by 0. Ask: Can you divide into 0 groups? Or into groups of 0? No, because there is always at least 1 group [the group you start with]
I have 48 crayons and they come in packs of 8. How many packs of crayons do I have? 1. Which vocabulary word does the 8 represent? [Divisor, how many crayons in each pack, the amount in each equal group] 2. What does the quotient mean in this crayon scenario? [The number of packs or equal groups] 3. Which number is the dividend? [48] How do you know? [It is how many crayons are there altogether, being divided into packs] 4. I have one more pack of crayons. Write a multiplication sentence to show how many crayons I have now. [8x7=56] 5. Write a division sentence to represent how many packs I have now. [56 divided by 8 crayons per pack = 7 packs of 8 crayons each] Lighthouse Math Teacher’s Guide
Prevent your students from getting lost in confusion.
Enhance the lesson with a quick game, this is sure to capture every student’s attention!
Games
Common Errors
Common Errors
Following the examples in the lesson, teachers can expand on the challenge with the provided instructions.
Math Games
Apply and Develop Skills (Practice) Review notations for division. Work through the Try it together problems, and go over the answers. Look for patterns.
Challenge and Explore
Assess Tools for assessing the students mastery of skills being taught.
107
Practice Book
Level E
Expand your students lessons with our all new practice book. This book is designed to deliver an additional two pages of practice for each lesson
Chapter Lesson
6 7
1. A school has $1,592 to spend on new
Word Problems
2. The zoo has 6,780 pounds of bird food
balls. If each ball costs $14, how many
and use 75 pounds a day to feed the
balls can they get?
birds. How many days can they feed all the birds with this food?
Word Problems Additional word problems to help students apply the skills to everyday math problems.
© Lighthouse Curriculum. Copying strictly prohibited.
3. Roger earns $13 for each lawn he mows.
4. A factory can make 9,200 graham
If he wants to earn $1,050 this summer,
crackers a minute. If 24 graham
how many lawns would he need to
crackers are placed in each box, how
mow?
many full boxes of graham crackers are made each minute?
99
Level B 1.
8 4
Chapter Lesson
Level B
Word Problems
The piano player played for 162 minutes during the ceremony. At the dinner party, the piano player played another 129 minutes. How many minutes did the piano player play in all?
1.
Name 2. The construction workers set up 275 construction cones on one side of
6 8
the highway. On the other side of the highway, they set up another 315 Date construction cones. How many construction cones did the construction workers set up?
© Lighthouse Curriculum. Copying strictly prohibited.
Chapter Lesson
Date
Solve each equation. Regroup twice. 2.
3.
H
T
O
H
T
O
2
5
8
1
9
6
+ 1
5
4
+ 4
4
7
H
T
O
H
T
O
6
8
5
5
5
8
+ 1
6
7
+ 1
6
6
H
T
O
H
T
O
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5
7
+ 1
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+ 1
9
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4.
Level E
Name
8 5
Chapter Lesson
5.
+
6.
+
Solve using what you have learned about dividing by multiples of ten.
1.
2.
7 490
4 1,600
7. 3.
4.
2 1,800
8 240
Use compatible numbers to estimate the quotient. 5.
42 ÷ 5 =
7.
67 ÷ 11 =
÷
÷
=
=
6.
81 ÷ 2 =
8.
68 ÷ 11 =
÷
8.
=
÷
=
125
Divide. R 10. 15 97
12 75
R 13. 12 456
R 11. 13 672
R 14. 15 4,518
R 12. 19 567
R 15. 21 7,832
© Lighthouse Curriculum. Copying strictly prohibited.
R 9.
R 16. 22 3,749
Practice Examples Extra practice examples for students to gain repetition. It can be used for homework, or in class practice. 100
9.
+
Curriculum Comparison Chart See how our math curriculum matches up to the other curriculums available on the market.
Comprehensive Teacher’s Guide Covering all Elementary Skills Spiral Review Ample Practice Examples Complete Sets Grade K - 7 Homework Practice Book Censored Content Custom Illustrations Easy to Organize a Syllabus For New and Seasoned Teachers CC Aligned Colorful and Exciting Design Data to Back Effectivness Hands on Training Programs All in One Book Daily Review Math Games for Each Lesson Easy Access Online Portal
National Math Curriculums
Culturly Sensitive Math Curriculums
Lighthouse™ Math
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Math Scope and Sequence • Use the scope and sequence to see the main skills that are covered in each level • Skills are organized through standards and grouped in an easy to read color-coded format • The standards reference list is also included for details on standards and descriptions • Both New York State Next Generation (NYS NG) and Common Core (CC) Standards are provided for each chapter • The first chapters of the book cover arithmetic skills, practice and computation review to allow teachers to get a sense of student retention and skills at the beginning of each school year.
Counting and Cardinality Number Sense Number names Count to tell the number of objects Count in sequence Compare numbers Count within 1000; skip-count by 5s, 10s and 100s Numbers and Operations in Base Ten Place Value Groups of ten, understand place value Use place value to add and subtract within 100 Use place value for multi-digit operations - > than 1000 Explain patterns of 0 and powers of 10 Recognize that a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left Round numbers to the nearest 10 or 100 Compare and order numbers Round numbers to given place value Read, write and compare decimals Addition Add within 100 10 more 10 less Add more than 2 numbers Add within 1000 using models Add multidigit numbers using standard algortithm with and without regrouping Addition Properties Understand and apply words used to describe addition, word problems Add Money Subtraction Subtract within 100 Subtract within 1000 using models Subtract multidigit numbers using standard algortithm with and without regrouping Understand and apply words used to describe subtraction, word problems Subtract Money Multiplication Multiply 1-digit whole numbers Multiply 1 digit by multiples of 10 Multiply with strategies such as partial products, area models, arrays Multipy by two 2-digit numbers Estimate with multiplication Multiply decimals Multiplication Properties Determine the unknown whole number in a multiplication or division equation relating three whole numbers Multiply multi-digit numbers using the standard algorithm
A
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A Division Division facts: Understand division as an unknown-factor problem. Divide by 1 digit, no remainders Find whole number quotients with dividends up to 4 digits and 1 digit divisors with and without remainders Find whole number quotients with multi-digit dividends and 2 digit divisors with and without remainders Divide decimals by whole numbers Divide by a decimal Divide and make the remainder a decimal or fraction Interpret remainders Whole numbers Distinguish and use factors and multiples Order of Operations Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12 Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor Exponents Integers Use positive and negative numbers to represent quantities in real-world contexts Absolute value Integers on a number line, compare and order Addition of integers, understand and apply patterns Subtraction of integers Multipy and divide integers Coordinate points Number and Operations Fractions Partition circles and rectangles into two, three or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc. Understand and represent a fraction as a number on the number line Fractions of a shape, fractions of a group Compare two fractions with the same numerator or the same denominator by reasoning about their size Compare two fractions with different numerators and different denominators Add and subtract mixed numbers with like denominators Add and subtract with unlike denominators Multiply a fraction or whole number by a fraction. Multiply and divide mixed numbers Divide unit fractions by whole numbers and whole numbers by unit fractions Divide fraction by fractions Fluently add, subtract, multiply, divide fractions and mixed numbers
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A Decimals Compare two decimals to hundredths by reasoning about their size Read, write and compare decimals to thousandths Add and subtract decimals Add, subtract, multiply and divide decimals to thousandths Divide to get decimals Convert between fractions, decimals and percents Use and apply decimals in all operations Percents Percent as out of 100 Compare and order percents, fractions and decimals Percent Proportion Percent equation Simple Interest Percent increase/decrease Taxes, tips, commission, discounts Rational Numbers Understand a rational number as a point on the number line a/b where b ≠ 0 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers Solve real-world and mathematical problems involving the four operations with rational numbers Ratios and Proportional Relationships Ratios and Rates Identify, write and use ratios Equal ratios Unit Rate, Unit Pricing Speed and rate Ratio Tables Proportional Relationships Set up and Solve proportions Percent proportion Similar figures Scale drawings Proportion with Tables and Graphs Algebra and Functions Algebraic Relationships Generate a number or shape pattern that follows a given rule Graph points on the coordinate plane Write, read and evaluate expressions in which letters stand for numbers
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A Equations and Inequalitities Reason about and solve one-variable equations and inequalities Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams Use properties of operations to generate equivalent expressions Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions and decimals), using tools strategically Functions Represent and analyze quantitative relationships between dependent and independent variables Create graphs from tables and interpret graphs of linear equations Slope, direct variation Measurement Time Tell and write time in hours and half-hours using analog and digital clocks Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m Tell and write time to the nearest minute and measure time intervals in minutes Elapsed Time Calendar Temperature Money Recognize and identify coins, their names, and their value Count coins and make change Operations with money, use the $ and .00 Linear Measurement Measure and estimate the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks and measuring tapes Convert like measurement units within a given measurement system Liquid , mass and weight Measure and estimate liquid volumes and masses of objects using standard units Add, subtract, multiply or divide to solve one-step word problems involving masses or volumes that are given in the same units Perimeter and Area Measure areas by counting unit squares and square units Relate area to the operations of multiplication and addition Perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters Apply, use and interpret formulas for perimeter and area of different shapes and figures Geometry 2D and 3D shapes Defining attributes (number of sides, angles) and non defining attributes (color, size, orientation) Composite shapes Describe and name shapes, color, relative position Identify triangles, quadrilaterals, pentagons, hexagons and cubes
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A Identify line-symmetric figures and draw lines of symmetry Congruency Parts of a circle Draw points, lines, line segments, rays, angles (right, acute, obtuse) and perpendicular and parallel lines. Identify these in two-dimensional figures Classify two-dimensional figures into categories based on their properties Identify 3D figures Angles Measure angles in whole-number degrees using a protractor; sketch angles of specified measure Transversals and properties Angle sums and applications Triangles, Circles, Quadrilaterals Find area of triangles Name and identify triangles by side lengths and angles Area and circumference of circle Area, perimeter, formulas of rectangle Special triangles Transformations Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points Slides, Rotations, Reflections Volume and Surface Area Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures Statistics and Probability Data Sets Represent Data: Organize, represent and interpret data with up to three categories Measures of Center Mean and average Median, mode, range Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape Probability Investigate chance processes and develop, use and evaluate probability models Likely and unlikely events Probability model Sample spaces Theoretical and experimental probability Tree diagrams
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The Future of Education Looks Bright We want your transition to Lighthouse Curriculum to be seamless. One of our many experienced educational coaches can come down to your school and coach you through the process to make it as easy as possible.
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