Table of Contents

1 Rounding Rounding Large Numbers 4

2 Estimating with Rounded Numbers 6

3 Introduction to Ratios Multiplicative Comparisons 8

4 Problem Solving with Multiplicative Comparisons 10

5 Ratios as Decimals 12

6 Comparing Ratios in Decimal Form 14

7 Percentages Introduction to Ratios as Percentages 16

8 Percentages in Context 18

9 Finding a Percentage of a Whole 20

10 Percentage Decrease and Increase, Method 1 22

11 Percentage Decrease and Increase, Method 2 24

12 Finding Original Values Using Percentage Decrease and Increase 26

13 Band Charts and Pie Charts 28

14 Preparing Data for Pie Charts 30

15 Creating Pie Charts 32

Test Rounding and Percentages 34

16 Unit Rates Introduction to Unit Rates 36

17 Population Density: An Example of a Unit Rate 38

18 Comparing Unit Rates 40

19 Problem Solving with Unit Rates 42

20 Introduction to Speed 44

21 Comparing Speeds 46

22 Converting Unit Rates 48

23 Calculating Distance 50

24 Calculating Time 52

Test Unit Rates 54

25 Ratios and Proportions Introducing Ratios in Context 56

26 Ratio Notation and Introducing Common Denominators 58

(Review) Review of Simplifying Fractions and Common Denominators 60

27 Introducing Proportionality 62

28 Introducing Proportions 64

29 Writing Proportions 66

30 Simplifying Ratios Involving Decimals and Fractions 68

31 Problem Solving with Proportions 70

Test Ratios and Proportions 72

32 Ratios and Proportions Introduction to Directly Proportional Relationships 74

33 Directly Proportional Relationships 76

34 Directionality in Directly Proportional Relationships 78

35 Graphing Directly Proportional Relationships 80

36 Comparing Graphs of Directly Proportional Relationships 82

37 Introduction to Inversely Proportional Relationships 84

38 Inversely Proportional Relationships 86

39 Directionality in Inversely Proportional Relationships 88

40 Graphing Inversely Proportional Relationships 90

Test Ratios and Proportions 92

41 Analyzing Data Introduction to the Mean 94

42 Calculations Using the Mean 96

43 Problem Solving with the Mean 98

44 Introduction to Spread 100

45 Spread 102

46 Introduction to Histograms 104

47 Drawing Histograms 106

48 Number of Possible Outcomes Introduction to Permutations 108

49 Permutations 110

50 Different Types of Sample Spaces 112

51 Introduction to Combinations 114

52 Combinations 116

53 Applying Combinations 118

Test Analyzing Data and Number of Possible Outcomes 120

Challenge 122

Answer Key 124