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Grades 5-8 Fraction Bars Teacher's Guide

Table of Contents

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


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