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Sample worksheet from

Copyright 2007 - 2020 Maria Miller

Edition 1/2020

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Contents

Foreword ................................................................................. 5

Chapter 6: Decimals, Part 2

Introduction ............................................................................ 6 Multiply Decimals by Decimals ............................................ 11 Multiplication as Scaling ...................................................... 15 Decimal Multiplication--More Practice .............................. 19 Dividing Decimals--Mental Math ........................................ 21 More Division with Decimals ................................................ 24 Multiply and Divide by Powers of Ten 1 .............................. 27 Multiply and Divide by Powers of Ten 2 .............................. 31 The Metric System 1 .............................................................. 34 The Metric System 2 .............................................................. 38 Divide Decimals by Decimals 1 ............................................ 41 Divide Decimals by Decimals 2 ............................................ 44 Converting Between Customary Units of Measurement ... 49 Rounding Measurements ..................................................... 53 Problem Solving .................................................................... 55 Mixed Review Chapter 6 ...................................................... 59 Chapter 6 Review ................................................................. 61

Chapter 7: Fractions: Add and Subtract

Introduction ......................................................................... 65 Fraction Terminology ......................................................... 69 Review: Mixed Numbers .................................................... 70 Adding Mixed Numbers ..................................................... 74 Subtracting Mixed Numbers 1 ........................................... 78 Subtracting Mixed Numbers 2 ........................................... 82 Equivalent Fractions 1 ........................................................ 84 Equivalent Fractions 2 ........................................................ 87 Adding and Subtracting Unlike Fractions ........................ 89 Finding the (Least) Common Denominator ...................... 92 Adding and Subtracting Mixed Numbers ......................... 95 Comparing Fractions ........................................................... 98 Add and Subtract: More Practice ...................................... 102 Word Problems ................................................................... 105

Sample worksheetMferaosumring in Inches ............................................................. 107 7 ..................................................... 112

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Chapter 7 Review ................................................................. 115

Chapter 8: Fractions: Multiply and Divide

Introduction .......................................................................... 117 Simplifying Fractions 1 ........................................................ 122 Simplifying Fractions 2 ........................................................ 126 Multiply Fractions by Whole Numbers .............................. 129 Multiply Fractions by Fractions 1 ...................................... 133 Multiply Fractions by Fractions 2 ...................................... 136 Fraction Multiplication and Area ........................................ 138 Simplifying Before Multiplying ........................................... 144 Multiply Mixed Numbers ..................................................... 148 Multiplication as Scaling/Resizing ...................................... 152 Fractions Are Divisions ........................................................ 156 Dividing Fractions: The Shortcut ........................................ 160 Dividing Fractions: Sharing Divisions ................................ 164 Dividing Fractions: Fitting the Divisor ............................... 168 Dividing Fractions: Summary ............................................. 170 Mixed Review Chapter 8 ...................................................... 172 Chapter 8 Review .................................................................. 175

Chapter 9: Geometry

Introduction ......................................................................... 179 Review: Angles ..................................................................... 183 Review: Drawing Polygons ................................................. 185 Star Polygons ....................................................................... 187 Circles .................................................................................. 189 Quadrilaterals ..................................................................... 192 Equilateral, Isosceles, and Scalene Triangles ................... 196 Area and Perimeter Problems ........................................... 201 Volume ................................................................................. 205 Volume of Rectangular Prisms (Cuboids) ........................ 210 Volume Is Additive ............................................................ 213 A Little Bit of Problem Solving .......................................... 216 Mixed Review Chapter 9 .................................................... 218 Chapter 9 Review ................................................................ 221

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Foreword

Math Mammoth Grade 5-B Worktext covers the second half of fifth grade mathematics studies. In part 5-A, students have studied the four operations with whole numbers, large numbers, problem solving, decimal arithmetic, and statistical graphs. In this part, 5-B, we study more about decimals, a lot about fractions and fraction arithmetic, and geometry. Chapter 6 continues our study of decimals. The focus is on multiplying decimals by decimals, dividing decimals by decimals, and conversions between measuring units. Chapter 7 covers the addition and subtraction of fractions--another topic of focus for 5th grade, besides decimals. The most difficult topic of this chapter is adding and subtracting unlike fractions, which is done by first converting them to equivalent fractions with a common denominator. In chapter 8, we study the multiplication and division of fractions from various angles. Chapter 9 takes us to geometry, starting with a review of angles and polygons. From there, students will learn to draw circles, to classify triangles and quadrilaterals, and the concept of volume in the context of right rectangular prisms (boxes).

I wish you success with teaching math! Maria Miller, the author

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