Table of Contents

Chapter 1 Measurement

Lesson 1 English Units of Length Page 1-2

Lesson 2 Adding and Subtracting Length Units in the English System Page 1-5

Lesson 3 English System Units of Weight Page 1-8

Lesson 4 English System Units of Liquid Capacity Page 1-10

Lesson 5 Metric System Units of Length Page 1-13

Lesson 6 Metric System Units of Capacity Page 1-15

Lesson 7 Metric System Units of Mass Page 1-17

Lesson 8 Critical Thinking: Determining Area Page 1-19

Lesson 9 Critical Thinking: Determining Distance, Time and Speed Page 1-20

Chapter 2 Ratios and Percentages. The Relationships of Fractions,

Percentages, Decimals and Whole Numbers

Lesson 1 Ratios Page 2-3

Lesson 2 Expressing Ratios in Their Simplest Forms Page 2-5

Lesson 3 Patterns of Ratios Page 2-7

Lesson 4 Ratios, Scales, and Scale Drawings Page 2-9

Lesson 5 Algebra Page 2-11

Lesson 6 Critical Thinking Page 2-13

Lesson 7 Percentages Page 2-16

Lesson 8 The Relationship between Percentages and Decimals Page 2-18

Lesson 9 Percentages and Fractions with 100 as the Denominator Page 2-19

Lesson 10 Converting Fractions to Percentages Page 2-22

Lesson 11 Calculating the Percentage of a Whole Number Page 2-23

Lesson 12 Calculating Percentages, Fractions, Decimals and Whole Numbers, Writing the Results as Decimals. Page 2-25

Lesson 13 Calculating Percentages, Fractions, Decimals and Whole Numbers, Writing the Results as Percentages. Page 2-26

Lesson 14 Calculating Percentages, Fractions, Decimals and Whole Numbers, Writing the Results as Fractions. Page 2-27

Lesson 15 Word Problems Using Percentages Page 2-28

Lesson 16 Critical Thinking: Calculating Percentages Using Algebraic Equations Page 2-30

Lesson 17 Using Circle Graphs (Pie Charts) to Represent Percentages Page 2-33

Lesson 18 Algebra: The Relationships between Percentages and Whole Numbers Page 2-35

Lesson 19 Algebra: The Relationships between Fractions and Whole Numbers Page 2-36

Lesson 20 Algebra: The Relationships between Decimals and Whole Numbers Page 2-37

Lesson 21 Algebra: The Relationships between Percentages and Decimals Page 2-308

Lesson 22 Algebra: The Relationships between Fractions and Decimals Page 2-39

Lesson 23 Algebra: The Relationships between Percentages and Fractions Page 2-40

Lesson 24 Critical Thinking: Problem-solving with Modeling Strategy Page 2-41

Lesson 25 More Critical Thinking: Problem-solving with Modeling Strategy Page 2-43

Chapter 3 Geometry

Lesson 1 Points, Lines, Line Segments and Rays Page 3-3

Lesson 2 Intersecting, Perpendicular and Parallel Lines Page 3-4

Lesson 3 Angles Page 3-6

Lesson 4 Measuring Angles and Classifying Angles by Their Measurements Page 3-7

Lesson 5 Addition and Subtraction Property of Angles Page 3-9

Lesson 6 Congruent Angles Page 3-11

Lesson 7 Supplementary and Complementary Angles Page 3-13

Lesson 8 Triangles with the Same Area Page 3-15

Lesson 9 Critical Thinking: Dividing a Triangle into Smaller Triangles of the Same Area Page 3-16

Lesson 10 Critical Thinking and Areas of Triangles Page 3-18

Lesson 11 Critical Thinking: Comparing the Sizes of Triangles Page 3-20

Lesson 12 Quadrilaterals Page 3-22

Lesson 13 Critical Thinking: Comparing Areas of Triangles Page 3-25

Lesson 14 Critical Thinking: Determining Areas Page 3-27

Lesson 15 Circles Page 3-29

Lesson 16 Rotating Figures Page 3-31

Lesson 17 Three-dimensional Figures (Space Figures or Solids) Page 3-33

Lesson 18 Viewing Solids from Three Directions Page 3-34

Lesson 19 Determining Surface Areas of Cubes and Rectangular Prisms Page 3-37

Lesson 20 The Surface Area of Pyramids Page 3-39

Chapter 4 Statistics and Probability

Lesson 1 Understanding and Using Line Graphs Page 4-2

Lesson 2 Line Graphs and Algebraic Equations Page 4-4

Lesson 3 Using Line Graphs to Solve Word Problems Page 4-6

Lesson 4 Critical Thinking and the Use of Line Graphs Page 4-8

Lesson 5 Bar Graphs Page 4-11

Lesson 6 Histograms Page 4-13

Lesson 7 Choosing the Best Graph for Different Data Analyses Page 4-15

Lesson 8 Critical Thinking and Problem-Solving Page 4-17

Lesson 9 More Critical Thinking Page 4-19

Lesson 10 Determining the Range of a Set of Data Page 4-21

Lesson 11 Determining the Mode of a Set of Data Page 4-22

Lesson 12 Determining the Mean of a Set of Data Page 4-23

Lesson 13 Determining the Median of a Set of Data Page 4-24

Lesson 14 Understanding Probability Page 4-26

Lesson 15 Probability Measurements between 0 and 1 Page 4-28

Lesson 16 Critical Thinking and Probability Page 4-32

Chapter 5 Negative Numbers, Positive Numbers, and Integers

Lesson 1 Positive and Negative Numbers Page 5-2

Lesson 2 Comparing Positive and Negative Numbers on a Number Line Page 5-4

Lesson 3 Operating with Negative Numbers Page 5-6

Lesson 4 Adding Positive and Negative Numbers Page 5-8

Lesson 5 The Commutative Property and Adding Negative and Positive Numbers Page 5-9

Lesson 6 Adding Two Negative Numbers Page 5-11

Lesson 7 Subtracting a Greater Number from a Lesser Number Page 5-15

Lesson 8 Subtracting a Negative Number from a Positive Number Page 5-16

Lesson 9 Subtracting a Positive Number from a Negative Number Page 5-17

Lesson 10 Subtracting One Negative Number from Another Page 5-18

Lesson 11 Integers Page 5-24

Lesson 12 Multiplying Integers Page 5-25

Lesson 13 Properties of Integer Multiplication Page 5-27

Lesson 14 Dividing Integers Page 5-30

Lesson 15 Performing Multiple Integer Operations Page 5-32

Lesson 16 Coordinate Planes Page 5-34

Lesson 17 Algebraic Expressions and Coordinate Planes Page 5-35

Appendix – Road Map of Explore the secrets of Math Level 5 Book 1 Appendix –1