Fractions and Decimals - Open School BC

Fractions and Decimals

Survive Math 5

Fractions and Decimals

| Survive Math 5

Fractions and Decimals

i

? 2005 by Open School BC

This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License. To view a copy of this license, visit

Acknowledgements

Project Manager: Eleanor Liddy Writer: Judy Hawkins and Margaret Stobie Editor: Cindy John Illustrator: Margaret Kernaghan Page Design: Janet Bartz Production Technician: Beverly Hooks

Course History

New, April 2005

Survive Math 5

Fractions and Decimals

Table of Contents

Introduction

v

Lessons

1

Pretest

3

Lesson 1: Representing Fractions--Parts of a Whole . . . . . . . . . . . . . . 21

Lesson 2: Fractions of a Set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

Lesson 3: Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

Lesson 4: Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

Lesson 5: Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

Lesson 6: Introducing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44

Lesson 7: More About Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

Lesson 8: Making Equivalent Decimals . . . . . . . . . . . . . . . . . . . . . . . 55

Lesson 9: Fractions and Decimals Greater Than 1 . . . . . . . . . . . . . . . . 59

Lesson 10: Comparing Decimal Fractions Using Place Value . . . . . . . . 65

Lesson 11: Ordering Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

Lesson 12: Rounding Decimals to the Nearest Tenth and Nearest One 75

Lesson 13: Rounding to the Nearest Whole Number and Estimating

Sums and Differences With Decimals . . . . . . . . . . . . . . . . 79

Lesson 14: Adding Decimal Fractions . . . . . . . . . . . . . . . . . . . . . . . . 84

Lesson 15: Subtracting Decimal Fractions . . . . . . . . . . . . . . . . . . . . . 89

Lesson 16: Decimal Dollars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93

Lesson 17: Estimating Dollar Sums and Differences . . . . . . . . . . . . . . 96

Lesson 18: Adding and Subtracting Dollars and Cents . . . . . . . . . . . . 99

Lesson 19: Mixed Numbers--Ones, Tenths, Hundredths . . . . . . . . . 104

Lesson 20: Renaming a Decimal Fraction as a Common Fraction . . . 109

Mastery Test

115

Lesson Practice Sheets

131

Games

233

Answer Key

241

Glossary

307

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Fractions and Decimals

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| Fractions and Decimals

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Survive Math Five

The intent of this program is to assist you, the parent, in working with your child to develop a strong mathematical base of knowledge and to develop mathematic literacy.

Many children arrive in Grade Five lacking, or are weak in basic mathematic concepts and operations. Children need the freedom to explore and to develop reasoning and mathematic skills, and to be able to show and explain these skills to others. Also, children should understand that mathematics is not just simple rules; it should make sense, be logical, and enjoyable.

To be successful in mathematics children must understand the "how" and "why" of each operation. A child's ability to reason is as valuable as her or his ability to find the correct answers.

It is important for children to use "manipulatives" (concrete objects) to explore, develop, and apply mathematical concepts. Before children are allowed to use a calculator as a tool they should learn and understand the basic facts.

The activities in this program are designed to engage your child's interest, develop a number sense, and learn the basic operations and concepts for:

? addition and subtraction ? multiplication and division ? fractions and decimals ? problem solving

At the completion of this program your child should be able to use the number operations appropriately and effectively.

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Fractions and Decimals

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In each package you will find: ? Twenty-minute lessons and ideas for review ? Pre-Tests ? Mastery Test ? Practice Sheets ? Games ? Answer Key ? Glossary

In each package there is also a selection of Teaching Aids that are to be used with selected lessons.

Practice Sheets Each practice sheet contains the following sections:

? Warm-Up ? It's Your Turn ? Challenge Yourself

All of the activities in each section are short and, we hope, enjoyable.

Before your child begins this package, you will administer a PreTest that will determine the lesson where you will begin working with your child. All Mathematics computation should be completed in pencil.

It is important that your child understands the concept or skill covered in each lesson before you move to the next one. If your child has difficulty with any concept or skill, you will need to give her or him additional concrete "hands-on" experiences and practice. Use the information in the package as a guide if you need to develop further practice materials.

When your child has a good understanding of the concept or skill taught in any given lesson, proceed to the next lesson. There is little value in asking your child to do additional work on something she or he already knows.

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| Fractions and Decimals

Survive Math 5

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