Introduction i-vii
(Eight lessons are linked below.)
Basic Concepts
Step 1 Models for Fractions 1
Step 2 Fractions for Regions and Sets 3
Step 3 Fraction Terminology and Notation 5
Step 4 Measuring with Fractions and Mixed Numbers 7
Step 5 Solving Problems Involving Regions and Sets 9
Equality
Step 1 Models for Equality of Fractions 11
Step 2 Writing Equations for Equal Fractions 13
Step 3 Obtaining and Recognizing Equal Fractions 15
Step 4 Writing Fractions in Lowest Terms 17
Step 5 Finding Common Denominators for Fractions 19
Step 6 Solving Problems Involving Equality 21
Inequality
Step 1 Models for Inequality of Fractions 23
Step 2 Determining Inequalities Using the ½ Benchmark 25
Step 3 Decreasing and Increasing Fractions 27
Step 4 Inequalities of Fractions and Mixed Numbers 29
Step 5 Rounding Fractions and Mixed Numbers 31
Step 6 Solving Problems Involving Inequality 33
Addition
Step 1 Adding Fractions with Models 35
Step 2 Fractions and Mixed Numbers - Equal Denominators 37
Step 3 Adding Fractions - Unequal Denominators 39
Step 4 Adding Mixed Numbers - Unequal Denominators 41
Step 5 Solving Problems Involving Addition 43
Subtraction
Step 1 Subtracting Fractions with Models 45
Step 2 Fractions and Mixed Numbers - Equal Denominators 47
Step 3 Subtracting Fractions - Unequal Denominators 49
Step 4 Subtracting Mixed Numbers - Unequal Denominators 51
Step 5 Solving Problems Involving Subtraction 53
Multiplication
Step 1 Whole Numbers Times Fractions and Mixed Numbers 55
Step 2 Multiplying Fractions Times Whole Numbers 57
Step 3 Multiplying Fractions Times Fractions 59
Step 4 Mixed Numbers Times Mixed Numbers 61
Step 5 Solving Problems Involving Multiplication 63
Division
Step 1 Dividing Fractions by Fractions 65
Step 2 Dividing by Fractions and Mixed Numbers 67
Step 3 Quotients of Whole Numbers that Equal Fractions 69
Step 4 Fractions as Ratios 71
Step 5 Solving Problems Involving Division 73
Fractions - Decimals - Percents
Step 1 Connecting Fractions and Percents 75
Step 2 Connecting Fractions
Decimals and Percents 77
Step 3 Number Lines with Decimals and Mixed Decimals 79
Step 4 Probability and Predictions 81
Step 5 Solving Problems Involving Probabilities as Fractions
Decimals
and Percents 83
Fraction Bars Games 85 - 111
Masters to Accompany Lessons 112 - 127 Followed by Answers for Masters |