Table of Contents

Introduction ................................................................................................... i–iv

What is Engaging Mathematics, Volume I: Grade 8? ............................................ iii

What is found in an Engaging Mathematics TEKS-based activity? .......................... iv

Number and operations ................................................................................ 2–11

Sets of Real Numbers 8(2)(A) ........................................................................... 2

Irrational Numbers 8(2)(B) ............................................................................... 4

Scientific Notation, Activity 1 8(2)(C) ................................................................. 6

Scientific Notation, Activity 2 8(2)(C) ............................................................... 10

Proportionality ........................................................................................... 12–85

Proportionality and Similar Shapes 8(3)(A) ....................................................... 12

Dilations on a Coordinate Plane, Activity 1 8(3)(B) ............................................ 14

Dilations on a Coordinate Plane, Activity 2 8(3)(B) ............................................ 16

Dilations on a Coordinate Plane, Activity 3 8(3)(C) ............................................ 20

Dilations on a Coordinate Plane, Activity 4 8(3)(C) ............................................ 22

Slope 8(4)(A) ............................................................................................... 26

Rate of Change, Slope, and y-intercept, Activity 1 8(4)(C) ................................. 28

Rate of Change, Slope, and y-intercept, Activity 2 8(4)(C) ................................. 30

Rate of Change, Slope, and y-intercept, Activity 3 8(4)(C) ................................. 32

Rate of Change, Slope, and y-intercept, Activity 4 8(4)(C) ................................. 34

Representations of Proportional Situations, Activity 1 8(5)(A) ............................. 36

Representations of Proportional Situations, Activity 2 8(5)(A) ............................. 38

Representations of Proportional Situations, Activity 3 8(5)(A) ............................. 42

Representations of Non-Proportional Situations, Activity 1 8(5)(B) ...................... 44

Representations of Non-Proportional Situations, Activity 2 8(5)(B) ...................... 48

Trend Lines, Activity 1 8(5)(D) ........................................................................ 50

Trend Lines, Activity 2 8(5)(D) ........................................................................ 52

Direct Variation 8(5)(E) ................................................................................. 54

Representations of Linear Relationships, Activity 1 8(5)(F) ................................. 56

Representations of Linear Relationships, Activity 2 8(5)(F) ................................. 58

Representations of Linear Relationships, Activity 3 8(5)(F) ................................. 62

Representations of Linear Relationships, Activity 4 8(5)(F) ................................. 64

Representations of Linear Relationships, Activity 5 8(5)(F) ................................. 68

Functional Relationships, Activity 1 8(5)(G) ...................................................... 72

Functional Relationships, Activity 2 8(5)(G) ...................................................... 74

Proportional and Non-Proportional Relationships, Activity 1 8(5)(H) ..................... 76

Proportional and Non-Proportional Relationships, Activity 2 8(5)(H) ..................... 78

Equations that Model Linear Relationships, Activity 1 8(5)(I) .............................. 80

Equations that Model Linear Relationships, Activity 2 8(5)(I) .............................. 82

Equations that Model Linear Relationships, Activity 3 8(5)(I) .............................. 84

Expressions, equations, and relationships................................................ 86–137

Volume of a Cylinder 8(6)(A) .......................................................................... 86

Modeling the Pythagorean Theorem, Activity 1 8(6)(C) ...................................... 88

Modeling the Pythagorean Theorem, Activity 2 8(6)(C) ...................................... 90

Volume of Cylinders, Activity 1 8(7)(A) ............................................................ 92

Volume of Cylinders, Activity 2 8(7)(A) ............................................................ 94

Volume of Cylinders, Activity 3 8(7)(A) ............................................................ 96

Volume of Cones 8(7)(A)................................................................................ 98

Volume of Spheres 1 8(7)(A) ........................................................................ 100

Surface Area, Activity 1 8(7)(B) .................................................................... 102