About the Authors |
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vii | |
Acknowledgments |
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ix | |
Preface |
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xvii | |
Section 1: Ratios And Proportional Relationships |
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1 | (18) |
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Teaching Notes for the Activities of Section 1 |
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2 | (1) |
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1-1 (6.RP1) Understanding Ratios |
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2 | (1) |
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1-2 (6.RP2) Unit Rates and Ratios |
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2 | (1) |
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1-3 (6.RP3) Equivalent Ratios and the Coordinate Plane |
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3 | (1) |
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1-4 (6.RP3) Finding the Percent of a Number and Finding the Whole |
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3 | (1) |
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1-5 (7.RP1) Finding Unit Rates |
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4 | (1) |
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1-6 (7.RP2) Graphing Proportional Relationships |
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4 | (1) |
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1-7 (7.RP2) Representing Proportional Relationships |
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5 | (1) |
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1-8 (7.RP3) Solving Word Problems Involving Percents |
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5 | (1) |
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Reproducibles for Section 1 |
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6 | (13) |
Section 2: The Number System And Number And Quantity |
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19 | (41) |
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Teaching Notes for the Activities of Section 2 |
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20 | (1) |
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2-1 (6.NS.5) Representing Positive and Negative Numbers |
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20 | (1) |
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2-2 (6.NS.6) Graphing Rational Numbers on a Number Line |
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20 | (1) |
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2-3 (6.NS.6) Graphing Points in the Coordinate Plane |
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21 | (1) |
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2-4 (6.NS.7) The Absolute Value and Order of Rational Numbers |
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22 | (1) |
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2-5 (6.NS.8) Using the Coordinate Plane to Solve Problems |
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22 | (1) |
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2-6 (7.NS.1) Using the Number Line to Add and Subtract Rational Numbers |
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23 | (1) |
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2-7 (7.NS.1) Using Properties to Add and Subtract Rational Numbers |
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24 | (1) |
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2-8 (7.NS.2) Multiplying and Dividing Rational Numbers |
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25 | (1) |
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2-9 (7.NS.2) Converting Rational Numbers to Decimals |
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26 | (1) |
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2-10 (7.NS.3) Solving Word Problems Involving Rational Numbers |
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27 | (1) |
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2-11 (8.NS.1) Expressing Fractions as Repeating Decimals and Repeating Decimals as Fractions |
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27 | (1) |
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2-12 (8.NS.2) Using Rational Approximations of Irrational Numbers |
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28 | (1) |
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2-13 (N-RN.1) Using the Properties of Exponents |
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29 | (1) |
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2-14 (N-RN.2) Rewriting Expressions Involving Radicals and Rational Exponents |
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29 | (1) |
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2-15 (N-RN.3) Sums and Products of Rational and Irrational Numbers |
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30 | (1) |
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2-16 (N-Q.1) Interpreting and Using Units |
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31 | (1) |
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2-17 (N-Q.2) Defining Appropriate Quantities |
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31 | (1) |
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2-18 (N-Q.3) Choosing Appropriate Levels of Accuracy for Measurement |
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32 | (1) |
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2-19 (N-CN.1) Writing Complex Numbers |
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33 | (1) |
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2-20 (N-CN.2) Adding, Subtracting, and Multiplying Complex Numbers |
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34 | (1) |
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2-21 (N-CN.7) Solving Quadratic Equations That Have Complex Solutions |
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34 | (1) |
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Reproducibles for Section 2 |
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35 | (25) |
Section 3: Basic Expressions, Equations, And Inequalities |
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60 | (43) |
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Teaching Notes for the Activities of Section 3 |
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61 | (1) |
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3-1 (6.EE.1) Writing and Evaluating Numerical Expressions with Whole-Number Exponents |
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61 | (1) |
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3-2 (6.EE.2) Writing and Reading Algebraic Expressions |
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62 | (1) |
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3-3 (6.EE.2) Evaluating Algebraic Expressions |
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62 | (1) |
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3-4 (6.EE.3) Applying Properties of Operations to Generate Equivalent Expressions |
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63 | (1) |
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3-5 (6.EE.4) Identifying Equivalent Expressions |
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63 | (1) |
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3-6 (6.EE.5) Identifying Solutions of Equations and Inequalities |
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64 | (1) |
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3-7 (6.EE.6) Writing Expressions in Which Variables Represent Numbers |
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64 | (1) |
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3-8 (6.EE.7) Writing and Solving Equations |
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65 | (1) |
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3-9 (6.EE.8) Using Inequalities |
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65 | (1) |
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3-10 (6.EE.9) Using Variables to Represent Two Quantities |
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66 | (1) |
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3-11 (7.EE.1) Adding, Subtracting, Factoring, and Expanding Linear Expressions |
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67 | (1) |
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3-12 (7.EE.2) Rewriting Expressions in Different Forms |
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67 | (1) |
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3-13 (7.EE.3) Solving Multi-Step Problems |
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68 | (1) |
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3-14 (7.EE.4) Solving Equations and Inequalities |
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68 | (1) |
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3-15 (8.EE.1) Applying Properties of Integer Exponents |
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69 | (1) |
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3-16 (8.EE.2) Using Square Roots and Cube Roots |
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69 | (1) |
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3-17 (8.EE.3) Using Numbers Expressed in Scientific Notation |
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70 | (1) |
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3-18 (8.EE.4) Operations with Scientific Notation |
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71 | (1) |
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3-19 (8.EE.5) Graphing Proportional Relationships |
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71 | (1) |
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3-20 (8.EE.6) Deriving the Equation y = mx |
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72 | (1) |
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3-21 (8.EE.7) Identifying Equations That Have One Solution, No Solutions, or Infinitely Many Solutions |
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73 | (1) |
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3-22 (8.EE.7) Solving Equations with Variables on Both Sides |
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73 | (1) |
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3-23 (8.EE.8) Solving Systems of Linear Equations Algebraically |
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74 | (1) |
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3-24 (8.EE.8) Solving Systems of Equations by Graphing |
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75 | (1) |
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Reproducibles for Section 3 |
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75 | (28) |
Section 4: Polynomial, Rational, Exponential, And Radical Expressions, Equations, And Inequalities |
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103 | (52) |
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Teaching Notes for the Activities of Section 4 |
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104 | (1) |
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4-1 (A-SSE.1) Interpreting Expressions |
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104 | (1) |
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4-2 (A-SSE.2) Using the Structure of an Expression to Identify Ways to Rewrite It |
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104 | (1) |
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4-3 (A-SSE.3) Factoring Quadratic Expressions to Reveal Zeroes |
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105 | (1) |
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4-4 (A-SSE.3) Completing the Square to Reveal Maximum or Minimum Values |
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106 | (1) |
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4-5 (A-SSE.4) Finding Sums of Finite Geometric Series |
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106 | (1) |
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4-6 (A-APR.1) Adding, Subtracting, and Multiplying Polynomials |
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107 | (1) |
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4-7 (A-APR.2) Applying the Remainder Theorem |
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107 | (1) |
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4-8 (A-APR.3) Using Zeroes to Construct a Rough Graph of a Polynomial Function |
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108 | (1) |
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4-9 (A-APR.4) Proving Polynomial Identities |
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109 | (1) |
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4-10 (A-APR.6) Rewriting Rational Expressions |
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110 | (1) |
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4-11 (A-CED.1) Writing and Solving Equations and Inequalities in One Variable |
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111 | (1) |
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4-12 (A-CED.2) Writing and Graphing Equations in Two Variables |
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111 | (1) |
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4-13 (A-CED.3) Representing Constraints and Interpreting Solutions |
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112 | (1) |
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4-14 (A-CED.4) Highlighting Quantities of Interest in Formulas |
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113 | (1) |
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4-15 (A-REI.1) Justifying Solutions to Equations |
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113 | (1) |
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4-16 (A-REI.2) Solving Rational and Radical Equations |
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114 | (1) |
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4-17 (A-REI.3) Solving Multi-Step Linear Equations in One Variable |
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115 | (1) |
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4-18 (A-REI.3) Solving Multi-Step Linear Inequalities in One Variable |
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115 | (1) |
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4-19 (A-REI.4) Solving a Quadratic Equation by Completing the Square |
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116 | (1) |
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4-20 (A-REI.4) Solving Quadratic Equations in a Variety of Ways |
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116 | (1) |
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4-21 (A-REI.5) Solving Systems of Equations |
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117 | (1) |
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4-22 (A-REI.6) Solving Systems of Linear Equations |
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118 | (1) |
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4-23 (A.REI.7) Solving a System of a Linear and a Quadratic Equation |
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118 | (1) |
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4-24 (A-REI.10) Relating Graphs to the Solutions of Equations |
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119 | (1) |
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4-25 (A-REI.11) Using Graphs and Tables to Find Solutions to Systems of Equations |
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120 | (1) |
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4-26 (A-REI.12) Solving Systems of Inequalities by Graphing |
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120 | (1) |
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Reproducibles for Section 4 |
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121 | (34) |
Section 5: Functions |
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155 | (66) |
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Teaching Notes for the Activities of Section 5 |
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156 | (1) |
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5-1 (8.F.1) Identifying Functions |
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156 | (1) |
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5-2 (8.F.2) Comparing Functions |
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157 | (1) |
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5-3 (8.F.3) Determining Whether Data Lies on a Line |
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157 | (1) |
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5-4 (8.F.4) Finding the Slope and V-Intercept of a Line |
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157 | (1) |
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5-5 (8.F.5) Analyzing and Graphing Functions |
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158 | (1) |
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5-6 (F-IF.1) Understanding Functions |
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159 | (1) |
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5-7 (F-IF.2) Finding the Values of Functions |
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159 | (1) |
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5-8 (F-IF.3) Defining Sequences Recursively |
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160 | (1) |
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5-9 (F-IF.4) Identifying Key Features of Graphs |
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160 | (1) |
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5-10 (F-IE5) Relating the Domain of a Function to Its Graph or Description |
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161 | (1) |
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5-11 (F-IE6) Finding the Average Rate of Change over Specified Intervals |
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162 | (1) |
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5-12 (F-IF.7) Graphing Linear and Quadratic Functions |
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162 | (1) |
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5-13 (F-IF.7) Graphing Polynomial Functions |
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163 | (1) |
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5-14 (F-IF.8) Rewriting Quadratic Equations |
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164 | (1) |
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5-15 (F-IF.9) Comparing Properties of Functions |
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165 | (1) |
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5-16 (F-BF.1) Writing Functions |
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165 | (1) |
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5-17 (F-BF.2) Writing Arithmetic and Geometric Sequences |
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166 | (1) |
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5-18 (F-BF.3) Transforming a Function |
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166 | (1) |
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5-19 (F-BF.4) Finding the Inverses of Functions |
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167 | (1) |
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5-20 (F-LE.1) Proving Linear Functions Grow by Equal Differences over Equal Intervals |
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168 | (1) |
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5-21 (F-LE.1) Proving Exponential Functions Grow by Equal Factors over Equal Intervals |
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168 | (1) |
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5-22 (F-LE.2) Constructing Linear and Exponential Functions |
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169 | (1) |
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5-23 (F-LE.3) Observing the Behavior of Quantities That Increase Exponentially |
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170 | (1) |
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5-24 (F-LE.4) Writing and Solving Exponential Equations |
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170 | (1) |
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5-25 (F-LE.5) Interpreting Parameters in a Linear or Exponential Function |
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171 | (1) |
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5-26 (F-TF.1) Using Radian and Degree Measures |
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172 | (1) |
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5-27 (F-TF.2) Using the Unit Circle |
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172 | (1) |
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5-28 (F-TF.5) Modeling Periodic Phenomena |
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173 | (1) |
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5-29 (F-TF.8) Finding the Values of the Sine, Cosine, and Tangent Functions |
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174 | (1) |
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Reproducibles for Section 5 |
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175 | (46) |
Section 6: Statistics And Probability |
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221 | (84) |
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Teaching Notes for the Activities of Section 6 |
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222 | (1) |
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6-1 (6.SP1) Identifying Statistical Questions |
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222 | (1) |
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6-2 (6.SP2) Describing Data Distributions |
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222 | (1) |
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6-3 (6.SP3) Finding the Mean, Median, Mode, and Range |
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223 | (1) |
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6-4 (6.SP4) Using Dot Plots to Display Data |
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224 | (1) |
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6-5 (6.SP4) Constructing a Box Plot |
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224 | (1) |
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6-6 (6.SP5) Summarizing and Describing Data |
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225 | (2) |
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6-7 (7.SP1) Drawing Inferences from Samples |
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227 | (1) |
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6-8 (7.SP2) Drawing Inferences about a Population Using Random Samples |
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227 | (1) |
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6-9 (7.SP3) Comparing Two Data Sets |
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228 | (1) |
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6-10 (7.SP4) Drawing Inferences about Populations |
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229 | (1) |
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6-11 (7.SP5) Understanding the Probability of Events |
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229 | (1) |
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6-12 (7.SP6) Probabilities and Predictions |
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230 | (1) |
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6-13 (7.SP7) Using Probability Models to Find Probabilities of Events |
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230 | (1) |
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6-14 (7.SP8) Understanding the Probability of Compound Events |
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231 | (1) |
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6-15 (7.SP8) Finding Probabilities of Compound Events Using Tables, Lists, and Tree Diagrams |
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232 | (1) |
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6-16 (8.SP1) Constructing and Interpreting Scatter Plots |
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233 | (1) |
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6-17 (8.SP2) Fitting Lines to Data |
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234 | (1) |
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6-18 (8.SP3) Using Equations of Linear Models |
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234 | (1) |
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6-19 (8.SP4) Constructing and Interpreting Two-Way Tables |
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235 | (1) |
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6-20 (S-ID.1) Representing Data with Plots on the Real Number Line |
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236 | (1) |
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6-21 (S-ID.2) Comparing Two Data Sets |
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236 | (1) |
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6-22 (S-ID.3) Interpreting Differences in Shape, Center, and Spread of Data Distributions |
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237 | (1) |
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6-23 (S-ID.4) Recognizing Characteristics of Normal Distributions |
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238 | (1) |
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6-24 (S-ID.5) Summarizing Categorical Data in Two-Way Frequency Tables |
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238 | (1) |
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6-25 (S-ID.6) Finding the Equation of the Line of Best Fit |
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239 | (1) |
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6-26 (S-ID.6) Using Linear and Quadratic Models |
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240 | (1) |
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6-27 (S-ID.7) Interpreting the Slope and Y-Intercept of a Linear Model |
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241 | (1) |
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6-28 (S-ID.8) Computing and Interpreting the Correlation Coefficient |
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241 | (1) |
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6-29 (S-ID.9) Distinguishing between Correlation and Causation |
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242 | (1) |
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6-30 (S-IC.1) Understanding the Terminology of Statistical Experiments |
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242 | (1) |
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6-31 (S-IC.2) Evaluating Probability Models through Simulations |
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243 | (1) |
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6-32 (S-IC.3) Recognizing Surveys, Experiments, and Observational Studies |
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244 | (1) |
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6-33 (S-IC.4) Using Simulations with Random Sampling |
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244 | (1) |
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6-34 (S-IC.5) Comparing Two Treatments Using Simulations |
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245 | (1) |
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6-35 (S-IC.6) Evaluating Data in Reports |
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246 | (1) |
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6-36 (S-CP1) Describing Events as Subsets of a Sample Space |
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246 | (1) |
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6-37 (S-CP2) Identifying Independent Events |
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247 | (1) |
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6-38 (S-CP3) Interpreting Conditional Probability |
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247 | (1) |
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6-39 (S-CP4) Understanding Two-Way Frequency Tables |
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248 | (1) |
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6-40 (S-CP5) Exploring Concepts of Conditional Probability |
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249 | (1) |
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6-41 (S-CP6) Finding Conditional Probabilities as a Fraction of Outcomes |
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249 | (1) |
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6-42 (S-CP7) Applying the Addition Rule |
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250 | (1) |
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Reproducibles for Section 6 |
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250 | (55) |
Index |
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305 | |