3KE-804017 © Key Education Keys to Math Success

Introduction .....................................................................4

Number and OperationsWhat’s My Place? .....................................................5What’s the Standard? ...............................................6Add ‘em Adam! ........................................................7Subtract ‘em Stacie! ..................................................8Comparing Large Numbers ....................................9Ordering Large Numbers ........................................10One-Digit Multiplication ...........................................1 1Patterns in Multiplication .........................................12Two-Digit by One-Digit Multiplication ....................13Two-Digit by Two-Digit Multiplication ....................14Division: The Opposite of Multiplication .................15Division Skill Drill ......................................................16Division Skill Drill with Remainders ......................... 17Homework: Magical Addition ................................18Problem Solving .......................................................19

Algebraic ThinkingRepeating and Growing Patterns ........................ 20Geometric and Numeric Patterns ......................... 21Time to Commute! ................................................. 22Associate and Add ................................................ 23Distributive Property ............................................... 243 + = 3 ? .......................................................... 25“Riddled” with Factors ............................................ 26Comparing in Equation Form ................................27Homework: What’s for Dinner? ............................ 28Problem Solving ..................................................... 29

Geometry2-D Shapes and 3-D Shapes ........................... 30-31Figures of Many Sides ........................................... 32Symmetrical Shapes .............................................. 33Can You Combine Shapes? .................................. 34Congruent vs. Similar ............................................ 35Slides, Flips, and Turns ......................................... 36Designing with Shapes ..........................................37Lines, Line Segments, and Rays ........................... 38Hooray for Angles! ................................................ 39Map It Out! ............................................................ 40Homework: Tangrams at Home ........................... 41Problem Solving ..................................................... 42

Fractions, Decimals and PercentParts of a Group ..................................................... 43Parts of a Whole ..................................................... 44Adding and Subtracting Fractions ........................ 45

Comparing Fractions ............................................. 46 Reducing Fractions .................................................47 Decimals! ................................................................ 48 Percents! ................................................................. 49 Equivalent Forms ................................................... 50 Homework: 50% Off Sale! ...................................... 5 1 Problem Solving ..................................................... 52

Measurement Give an Inch . . . .................................................... 53 Step Right Up!......................................................... 54 Pour Me a Cup, Please! ........................................ 55 Measuring with Yarn ............................................. 56 “Weight” Right Here! ...............................................57 Be a Mad Scientist ................................................. 58 Play Area ................................................................ 59 And the Perimeter Is . . . ....................................... 60 What is the Temperature of . . .? ........................... 61 Homework: Measuring with Candy ..................... 62 Problem Solving ..................................................... 63

Time and Money It’s Dinosaur Time! ................................................ 64 Down to the Minute .............................................. 65 Train Time . . . ......................................................... 66 Elapsed Time ...........................................................67 Do You Have Enough? .......................................... 68 Money Talks ........................................................... 69 Making Change ......................................................70 Homework: Delivery Time! ..................................... 7 1 Problem Solving ......................................................72

Data Analysis and Probability USA Travel Tally .......................................................73 Summer Jobs ..........................................................74 Camp Sports Line Graph ........................................75 An Ideal Summer Day ...........................................76 Unlikely Transportation ..........................................77 Coin Toss .................................................................78 Summer School Classes ........................................79 Homework: Let’s Play Cards ................................. 80 Problem Solving ...................................................... 81

Math Posttests ........................................................82–88

Web Sites .................................................................89–90

Answer Key .............................................................. 91–96

Table of Contents

4KE-804017 © Key Education Keys to Math Success

The following math skills are covered in Keys to Math Success:

addition

subtraction

multiplication

division

place value

algebraic thinking

geometry

fractions

measurement

time

money

data analysis

probability

problem solving

test-taking skills

IntroductionWelcome to the Keys to Math Success series!

Each resource book found in this series is designed to boost and reinforce math skills. All of the included math activities, games, and puzzles will provide good practice for all students, but will be especially useful for those students who are struggling, slightly below average, or for those students who do not seem to be interested in math. The activities will engage these young learners and help them to discover that math can really be fun!

Teachers and parents will find that the presentation of the activities will also help students to succeed. There is some repetition of skills, which reinforces learning; the reproducible activity pages are not overly crowded with too many math problems, which can frustrate students; and the concepts are presented in a clear and student-friendly format. This will make learning about math concepts a fun and successful experience for the children!

Each book offers questions and activities based on the curriculum standards specified by the National Council of Teachers of Mathematics (NCTM). All of the content standards (number and operations, algebra, geometry, measurement, and data analysis and probability) and the process standard of problem solving are incorporated in the activities. At the conclusion of each chapter is a math posttest. Each test has questions and problems that are based on standardized tests, which will help students gain experience and confidence in testing and will increase test scores.

Keys to Math Success is a wonderful resource that may be used for a variety of purposes, such as independent student or classroom work, or may be used at home with parental involvement. These books will quickly become a treasured resource that will help motivate even the most reluctant of math students!

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KE-804017 © Key Education Keys to Math Success

What’s My Place?

Number and Operations

Directions: Study the place value chart below.Then write the value of each underlined digit on the line.

1. 6. 11.

2. 7. 12.

3. 8. 13.

4. 9. 14.

5. 10. 15.

Millions Thousands Oneste

nm

illion

s

milli

ons

hund

red

thou

sand

s

ten

thou

sand

s

hund

red

milli

ons

thou

sand

s

hund

reds

tens

ones

52 18 74 93 6

Examples: The 5 is in the ten millions place.Its value is 50,000,000.

The 1 is in the hundred thousands place.Its value is 100,000.

75 1,136 252,251

38 2,341 488,884

232 4,989 999,996

587 10,367 2,391,390

718 12,509 3,565,209

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KE-804017 © Key Education Keys to Math Success

Numbers and Operations

What’s the Standard?Directions: Think about each expanded or written form below.

On the blank, write the letter of the standard form that matches it.

Examples of standard, expanded and written forms:

Standard form: 3,725

Expanded form: 3000 + 700 + 20 + 5

Written form: three thousand, seven hundred, twenty five

1. three hundred, eighty-two

2. seventy-six

3. 100 + 10 + 5

4. two thousand, four hundred, nine

5. 400,000 + 40,000 + 8,000 + 100 + 10

6. five million, three hundred, two

9. 1,000 + 500 + 10 + 5

10. 900 + 60 + 3

11. ten thousand, two hundred, eleven

12. eleven thousand, two hundred, ten

13. 300 + 20 + 8

14. 5,000 + 500 + 50 + 5

7. 3,000 + 100 + 80 + 2

8. five hundred thirty thousand, two

A. 2,409

B. 1,515

C. 5,000,302

D. 10,211

E. 115

F. 382

G. 328

H. 76

I. 11,210

J. 5,555

K. 963

L. 3,182

M. 530,002

N. 448,110

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KE-804017 © Key Education Keys to Math Success

Number and Operations

Add’em Adam!Directions: Solve the following problems. Remember to add the

ones column first, the tens next, and then the hundreds column. Finally, on the last row of problems, do not forget to add the thousands column.

4 0 5+ 2 5 5

3 2 2 + 2 5 2

4 4 6+ 5 6 4

1. 2. 3. 4.

7 7 4 + 1 2 3

9.

3 1 4+ 4 6 3

10.

3 3 8 + 5 5 5

11.

8 8 8+ 1 1 8

12.

3 5 3 + 4 4 9

5.

3 3 8+ 1 6 4

6.

4 7 1 + 2 1 9

7.

9 2 6+ 6 8

8.

5 7 5 + 4 1 6

13.

4 5 7 5+ 2 1 2 8

14.

5 2 2 2 + 1 6 3 8

15.

6 2 1 8+ 2 0 7 4

16.

2 4 4 4 + 5 1 5 5

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KE-804017 © Key Education Keys to Math Success

Number and Operations

Subtract ’em Stacie!Directions: Use subtraction to solve the following problems. Remember

to subtract the ones column first, the tens next, and then the hundreds column. Finally, on the last row of problems, do not forget to subtract the thousands column.

9.

2 3 3– 2 0 7

10.

8 5 0 – 5 4 6

11.

9 8 5– 6 3 7

12.

6 4 4 – 3 1 6

13.

5 8 5 3– 5 6 1 4

14.

2 1 9 9 – 1 0 7

15.

6 5 4 8– 5 8 2 9

16.

5 0 7 0 – 4 0 4 7

1.

5 5– 2 3

2.

8 9 – 2 5

3.

9 2– 4 1

4.

7 6 – 3 4

5.

7 8– 2 4

6.

7 7 – 4 7

7.

8 1– 3 9

8.

9 9 – 5 5

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KE-804017 © Key Education Keys to Math Success

1. 2. 3.

10. 11. 12.

7. 8. 9.

4. 5. 6.

13. 14. 15.

Directions: Compare the numbers.Write (>) greater than, (<) less than, or (=) equal to in each circle

Number and Operations

Comparing Large Numbers

99,989 99,99838,561 38,5611,371 37,155

4,720 4,2706,456 3,7852,586 2,568

575 575260 2,600110 1,110

457 457343 333412 421

66 69027 27239 48

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KE-804017 © Key Education Keys to Math Success

Number and Operations

Ordering Large NumbersDirections: Study the example below.

Write each set of numbers in order from the least to the greatest.

The series 237, 482, 233, would be properly ordered as follows:

233, 237, 482.

Example:

1. 4. 7.10 56 6 144 121 331 995 999 9,000

2. 5. 8.98 25 16 767 747 797 1,491 1,911 1,862

3. 6. 9.105 1,005 115 203 74 372 2,010 2,005, 3,087

Directions: Study the example below.Write each set of numbers in order from the greatest to the least.

The series 237, 482, 233, would be properly ordered as follows:

482, 237, 233.

Example:

10. 13. 16.82 45 93 53 530 503 663 636 366

11. 14. 17.34 79 29 271 217 712 8,085 8,058 5,805

12. 15. 18.76 177 67 582 183 628 4,117 4,234 4,351

91KE-804017 © Key Education Keys to Math Success

Answer KeyPage 51. 5; 2. 30; 3. 30; 4. 7; 5. 700; 6. 30; 7. 1; 8. 900; 9. 10,000; 10. 2,000; 11. 2,000;12. 80,000; 13. 900,000; 14. 1,000; 15. 3,000,000

Page 61. F; 2. H; 3. E; 4. A; 5. N;6. C; 7. L; 8. M; 9. B; 10. K;11. D; 12. I; 13. G; 14. J

Page 71. 660; 2. 574; 3. 1,010; 4. 897;5. 502; 6. 690; 7. 994; 8. 991;9. 777; 10. 893; 11. 1,006; 12. 802;13. 6,703; 14. 6,860; 15. 8,292; 16. 7,599

Page 81. 32; 2. 64; 3. 51; 4. 42; 5. 54;6. 30; 7. 42; 8. 44; 9. 26; 10. 304;11. 348; 12. 328; 13. 239; 14. 2,092;15. 719; 16. 1,023

Page 91. <; 2. <; 3. <; 4. <;5. >; 6. =; 7. <; 8. <;9. =; 10. >; 11. >; 12. >;13. <; 14. =; 15. <

Page 101. 6, 10, 56; 2. 16, 25, 98; 3. 105, 115, 1005;4. 121, 144, 331; 5. 747, 767, 797; 6. 74, 203, 372; 7. 995, 999, 9000; 8. 1491, 1862, 1911; 9. 2005, 2010, 3087; 10. 93, 82, 45; 11. 79, 34, 29; 12. 177, 76, 67; 13. 530, 503, 53;14. 712, 271, 217; 15. 628, 582, 183;16. 663, 636, 366; 17. 8085, 8058, 5805;18. 4351, 4234, 4117

Page 111. 12; 2. 15; 3. 16; 4. 18; 5. 24; 6. 14; 7. 9;8. 0; 9. 36; 10. 20; 11. 4; 12. 50; 13. 0; 14. 8;15. 28; 16. 81; 17. 54; 18. 30; 19. 27; 20. 40;21. 48; 22. 49; 23. 88; 24. 63; 25. 11; 26. 24; 27. 40; 28. 56; 29. 108; 30. 120

Page 121. A. 9, B. 30, C. 3; 2. A. 2, B. 4, C. 800;3. A. 5, B. 10, C. 5; 4. A. 4, B. 6, C. 2,400;5. A. 35, B. 50, 350, C. 500, 3,500;6. A. 8, 72, B. 80, 720; 7. A. 20, B. 200, C. 2,000;8. A. 48, B. 480, C. 4,800

Page 131. 44; 2. 24; 3. 39; 4. 88; 5. 155; 6. 160;7. 260; 8. 201; 9. 152; 10. 332; 11. 546; 12. 891

Page 141. 1,265; 2. 345; 3. 608; 4. 880; 5. 1,488;6. 600; 7. 1,512; 8. 1,830; 9. 2,814;10. 1,332; 11. 4,335; 12. 2,418

Page 151. 3, 2; 2. 5, 4; 3. 6, 2; 4. 7, 3; 5. 8, 5; 6. 9, 6; 7. 10, 8; 8. 11, 7; 9. 12, 10; 10. A. 7, B. 7, C. 7;11. A. 7, B. 7, C. 7; 12. A. 12, B. 12

Page 161. 5; 2. 4; 3. 4; 4. 4; 5. 7; 6. 6;7. 5; 8. 5; 9. 4; 10. 5; 11. 6; 12. 6

Page 171. 7; 2. 7 R1; 3. 5 R2; 4. 10 R1;5. 24; 6. 4 R3; 7. 4 R4; 8. 4 R1;9. 9 R4; 10. 8 R3; 11. 9 R4; 12. 5 R3