Table of Contents
Introduction ................................................................................................... i–iv
What is Engaging Mathematics, Volume I: Grade 6? ............................................ iii
What is found in an Engaging Mathematics TEKS-based activity? .......................... iv
Number and operations ................................................................................ 2-43
Whole Numbers, Integers, and Rational Numbers 6(2)(A) ................................... 2
Rational Number Relationships 6(2)(A)............................................................. 4
Opposites 6(2)(B) ......................................................................................... 6
Compare and Order Integers on a Number Line 6(2)(C) ...................................... 8
Compare and Order Rational Numbers, Activity 1 6(2)(C) .................................. 10
Compare and Order Rational Numbers, Activity 2 6(2)(C) .................................. 12
Compare and Order Rational Numbers, Activity 3 6(2)(D) .................................. 14
Modeling Integer Addition 6(3)(C) .................................................................. 18
Modeling Integer Subtraction 6(3)(C) .............................................................. 20
Modeling Integer Multiplication 6(3)(C) ........................................................... 22
Modeling Integer Division 6(3)(C) ................................................................... 24
Integer Operations, Activity 1 6(3)(D) ............................................................. 26
Integer Operations, Activity 2 6(3)(D) ............................................................. 30
Application Problems Involving Integers 6(3)(D) ............................................... 34
Decimal Division 6(3)(E) ............................................................................... 36
Fraction Multiplication 6(3)(E) ........................................................................ 38
Fraction Division 6(3)(E) ............................................................................... 40
Application Problems Involving Fractions and Decimals 6(3)(E) ........................... 42
Proportionality ......................................................................................... 44-117
Proportional Reasoning, Activity 1 6(4)(B) ....................................................... 44
Proportional Reasoning, Activity 2 6(4)(B) ....................................................... 46
Proportional Reasoning, Activity 3 6(4)(B) ....................................................... 48
Ratios 6(4)(C) ............................................................................................. 50
Unit Rates 6(4)(D) ....................................................................................... 54
Ratios and Rates 6(4)(C), 6(4)(D) .................................................................. 56
Modeling Ratios 6(4)(E) ................................................................................ 60
Modeling Percents, Activity 1 6(4)(E) .............................................................. 64
Modeling Percents, Activity 2 6(4)(E) .............................................................. 66
Modeling Percents, Activity 3 6(4)(E) .............................................................. 68
Modeling Percents, Activity 4 6(4)(E) .............................................................. 72
Benchmark Fractions and Percents 6(4)(F) ...................................................... 74
Benchmark Percents 6(4)(F) .......................................................................... 78
Equivalent Forms of Rational Numbers, Activity 1 6(4)(G) .................................. 82
Equivalent Forms of Rational Numbers, Activity 2 6(4)(G) .................................. 84
Measurement Conversions, Activity 1 6(4)(H) .................................................. 88
Measurement Conversions, Activity 2 6(4)(H) .................................................. 90
Measurement Conversions, Activity 3 6(4)(H) .................................................. 92
Proportional Relationships, Activity 1 6(5)(A) ................................................... 94
Proportional Relationships, Activity 2 6(5)(A) ................................................... 96
Proportional Relationships, Activity 3 6(5)(A) ................................................... 98
Proportional Relationships, Activity 4 6(5)(A) ................................................. 100
Proportional Relationships, Activity 5 6(5)(A) ................................................. 104
Percents, Activity 1 6(5)(B) ......................................................................... 108
Percents, Activity 2 6(5)(B) ......................................................................... 110
Percents, Activity 3 6(5)(B) ......................................................................... 112
Percents, Activity 4 6(5)(B) ......................................................................... 114
Equal Parts of the Same Whole 6(5)(C) ......................................................... 116
Introduction ................................................................................................... i–iv
What is Engaging Mathematics, Volume I: Grade 6? ............................................ iii
What is found in an Engaging Mathematics TEKS-based activity? .......................... iv
Number and operations ................................................................................ 2-43
Whole Numbers, Integers, and Rational Numbers 6(2)(A) ................................... 2
Rational Number Relationships 6(2)(A)............................................................. 4
Opposites 6(2)(B) ......................................................................................... 6
Compare and Order Integers on a Number Line 6(2)(C) ...................................... 8
Compare and Order Rational Numbers, Activity 1 6(2)(C) .................................. 10
Compare and Order Rational Numbers, Activity 2 6(2)(C) .................................. 12
Compare and Order Rational Numbers, Activity 3 6(2)(D) .................................. 14
Modeling Integer Addition 6(3)(C) .................................................................. 18
Modeling Integer Subtraction 6(3)(C) .............................................................. 20
Modeling Integer Multiplication 6(3)(C) ........................................................... 22
Modeling Integer Division 6(3)(C) ................................................................... 24
Integer Operations, Activity 1 6(3)(D) ............................................................. 26
Integer Operations, Activity 2 6(3)(D) ............................................................. 30
Application Problems Involving Integers 6(3)(D) ............................................... 34
Decimal Division 6(3)(E) ............................................................................... 36
Fraction Multiplication 6(3)(E) ........................................................................ 38
Fraction Division 6(3)(E) ............................................................................... 40
Application Problems Involving Fractions and Decimals 6(3)(E) ........................... 42
Proportionality ......................................................................................... 44-117
Proportional Reasoning, Activity 1 6(4)(B) ....................................................... 44
Proportional Reasoning, Activity 2 6(4)(B) ....................................................... 46
Proportional Reasoning, Activity 3 6(4)(B) ....................................................... 48
Ratios 6(4)(C) ............................................................................................. 50
Unit Rates 6(4)(D) ....................................................................................... 54
Ratios and Rates 6(4)(C), 6(4)(D) .................................................................. 56
Modeling Ratios 6(4)(E) ................................................................................ 60
Modeling Percents, Activity 1 6(4)(E) .............................................................. 64
Modeling Percents, Activity 2 6(4)(E) .............................................................. 66
Modeling Percents, Activity 3 6(4)(E) .............................................................. 68
Modeling Percents, Activity 4 6(4)(E) .............................................................. 72
Benchmark Fractions and Percents 6(4)(F) ...................................................... 74
Benchmark Percents 6(4)(F) .......................................................................... 78
Equivalent Forms of Rational Numbers, Activity 1 6(4)(G) .................................. 82
Equivalent Forms of Rational Numbers, Activity 2 6(4)(G) .................................. 84
Measurement Conversions, Activity 1 6(4)(H) .................................................. 88
Measurement Conversions, Activity 2 6(4)(H) .................................................. 90
Measurement Conversions, Activity 3 6(4)(H) .................................................. 92
Proportional Relationships, Activity 1 6(5)(A) ................................................... 94
Proportional Relationships, Activity 2 6(5)(A) ................................................... 96
Proportional Relationships, Activity 3 6(5)(A) ................................................... 98
Proportional Relationships, Activity 4 6(5)(A) ................................................. 100
Proportional Relationships, Activity 5 6(5)(A) ................................................. 104
Percents, Activity 1 6(5)(B) ......................................................................... 108
Percents, Activity 2 6(5)(B) ......................................................................... 110
Percents, Activity 3 6(5)(B) ......................................................................... 112
Percents, Activity 4 6(5)(B) ......................................................................... 114
Equal Parts of the Same Whole 6(5)(C) ......................................................... 116
