Table of Contents
Introduction .............................................................................. i–x
What is Engaging Mathematics, Volume II: Grade 6? ....................... v
What is found in an Engaging Mathematics TEKS-based activity? ...................... vi
Texas Essential Knowledge and Skills (TEKS) Alignment Chart ......................vii–x
Rational Numbers .................................................................... 2–23
Classifying Rational Numbers ..................................................... 2–3
Determining Opposites ............................................................. 4–5
Determining Opposites and Absolute Values ................................ 6–9
Ordering Integers ................................................................ 10–11
Comparing and Ordering Integers .......................................... 12–13
Ordering Rational Numbers ................................................... 14–16
Comparing and Ordering Rational Numbers ............................. 18–20
Graphing Ordered Pairs on a Coordinate Plane ......................... 22–23
Integer Operations ................................................................ 24–47
Modeling Integer Addition ..................................................... 24–25
Integer Addition................................................................... 26–27
Modeling Integer Subtraction ................................................. 28–30
Integer Subtraction .............................................................. 32–34
Representing Division ........................................................... 36–38
Modeling Integer Multiplication and Division ............................. 40–41
Order of Operations with Integers, Activity 1 ........................... 42–44
Order of Operations with Integers, Activity 2 ........................... 46–47
Positive Rational Number Operations .................................... 48–64
Multiplying by a Fraction Greater Than One ............................. 48–49
Multiplying by a Fraction Less Than One .................................. 50–51
Reciprocals ......................................................................... 52–54
Multiplying and Dividing Positive Rational Numbers, Activity 1 .... 56–58
Multiplying and Dividing Positive Rational Numbers, Activity 2 .... 60–61
Multiplying and Dividing Positive Rational Numbers, Activity 3 .... 62–64
Equivalent Expressions .......................................................... 66–89
Distinguishing Between Expressions and Equations ................... 66–68
Equivalent Expressions ......................................................... 70–71
Equivalent Numeric Expressions, Activity 1 .............................. 72–73
Equivalent Numeric Expressions, Activity 2 .............................. 74–76
Equivalent Numeric Expressions, Activity 3 .............................. 78–79
Equivalent Numeric Expressions, Activity 4 .............................. 80–82
Simplifying Algebraic Expressions ........................................... 84–85
Equivalent Algebraic Expressions, Activity 1 ............................. 86–87
Equivalent Algebraic Expressions, Activity 2 ............................. 88–89
