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Chapter 1: Rational Numbers and Percent |
1 – Rational Numbers |
A: Rational Numbers |
B: Add and Subtract Rational Numbers |
C: Multiply Rational Numbers |
D: Divide Rational Numbers |
2 – Percents |
A: Problem-Solving Investigation: Look for a Pattern |
B: Compare Rational Numbers |
C: Algebra: The Percent Proportion and Equation |
3 – Apply Percents |
A: Discount, Markup, and Sales Tax |
B: Financial Literacy: Interest |
C: Extend – Spreadsheet: Compound Interest |
D: Percent of Change |
Chapter 2: Real Numbers and Monomials |
1 – Laws of Exponents |
A: Powers and Exponents |
B: Multiply and Divide Monomials |
C: Powers of Monomials |
D: Problem-Solving Investigation: Act It Out |
2 – Scientific Notation |
A: Negative Exponents |
B: Scientific Notation |
C: Compute with Scientific Notation |
3 – Square Roots and Cube Roots |
A: Roots |
B: Explore – Roots of Non-Perfect Squares |
C: Estimate Roots |
D: Compare Real Numbers |
Chapter 3: Equations and Inequalities |
1 – One-Step Equations |
A: Problem-Solving Investigation: Work Backward |
B: Write Equations |
C: Solve Addition and Subtraction Equations |
D: Solve Multiplication and Division Equations |
2 – Two-Step Equations |
A: Explore – Two-Step Equations |
B: Solve Two-Step Equations |
C: Write Two-Step Equations |
3 – One-Step Inequalities |
A: Graph Inequalities |
B: Solve Inequalities by Addition or Subtraction |
C: Solve Inequalities by Multiplication or Division |
4 – Two-Step Inequalities |
A: Solve Two-Step Inequalities |
B: Compound Inequalities |
Chapter 4: Multi-Step Equations and Inequalities |
1 – Properties of Mathematics |
A: Properties |
B: The Distributive Property |
C: Simplify Algebraic Expressions |
D: Problem-Solving Investigation: Solve a Simpler Problem |
2 – Multi-Step Equations and Inequalities |
A: Explore – Equations with Variables on Each Side |
B: Solve Equations with Variables on Each Side |
Additional Lesson 2: Solve Multi-Step Equations |
D: Solve Multi-Step Inequalities |
Chapter 5: Expressions and Functions |
1 – Expressions |
A: Problem-Solving Investigation: Make a Table |
B: Variables and Expressions |
C: Ordered Pairs and Relations |
2 – Translate Among Words, Tables, Graphs, and Equations |
A: Explore – Patterns |
B: Analyze Tables |
C: Analyze Graphs |
D: Translate Tables and Graphs into Equations |
3 – Relations and Functions |
A: Explore – Relations and Functions |
B: Functions |
C: Linear Functions |
4 – Nonlinear Functions |
A: Linear and Nonlinear Functions |
B: Graph Quadratic Functions |
C: Extend – Graphing Technology: Families of Nonlinear Functions |
Chapter 6: Linear Functions and Systems of Equations |
1 – Slope |
A: Constant Rate of Change B: Explore – Graphing Technology: Rate of Change |
C: Slope |
D: Explore – Proportional and Nonproportional Relationships |
E: Direct Variation |
2 – Intercepts |
A: Slope-Intercept Form |
B: Graph Functions Using Intercepts |
C: Extend – Graphing Technology: Model Linear Behavior |
3 – Systems of Equations |
A: Problem-Solving Investigation: Guess, Check, and Revise |
B: Explore – Graphing Technology: Systems of Equations |
C: Solve Systems of Equations by Graphing |
D: Solve Systems of Equations by Substitution |
Chapter 7: Two- and Three-Dimensional Geometry |
1 – Angle Measure |
A: Explore – Angle Measure |
B: Classify Angles |
C: Complementary and Supplementary Angles |
D: Problem-Solving Investigation: Use Logical Reasoning |
2 – Lines |
A: Explore – Parallel Lines |
B: Lines |
3 – Angle Relationships in Polygons |
A: Explore – Triangles |
B: Triangles |
C: Explore – Quadrilaterals |
D: Quadrilaterals |
E: Polygons and Angles |
F: Extend – Intersection of Geometric Figures |
4 – Three-Dimensional Figures |
A: Explore – Three-Dimensional Figures |
B: Properties of Three-Dimensional Figures |
C: Extend – Polyhedrons |
Chapter 8: Triangles and Transformations |
1 – Similar Triangles |
A: Problem-Solving Investigation: Draw a Diagram |
B: Similar Polygons |
C: Extend – Similar Triangles |
D: Indirect Measurement |
E: The Tangent Ratio |
2 – The Pythagorean Theorem |
A: Explore – Right Triangle Relationships |
B: The Pythagorean Theorem |
C: Use the Pythagorean Theorem |
D: Distance on the Coordinate Plane |
E: Extend – Slope Triangles |
F: Special Right Triangles |
3 – Transformations |
A: Translations |
B: Reflections |
C: Explore – Rotational Symmetry |
D: Rotations |
E: Dilations |
F: Extend – Composition of Transformations |
Chapter 9: Units of Measure |
1 – Literal Equations |
A: Literal Equations |
B: Convert Temperatures |
C: Problem-Solving Investigation: Determine Reasonable Answers |
2 – Convert Units of Measure |
A: Convert Length, Weight/Mass, Capacity, and Time |
B: Extend – Accuracy and Precision |
C: Convert Rates |
D: Convert Units of Area and Volume |
Chapter 10: Data Analysis and Statistics |
1 – Analyze Data |
A: Measures of Central Tendency |
B: Extend – Graphing Technology: Mean and Median |
C: Changes in Data |
2 – Box-and-Whisker Plots |
A: Measures of Variation |
B: Box-and-Whisker Plots |
C: Double Box-and-Whisker Plots |
D: Extend – Graphing Technology: Box-and-Whisker Plots |
3 – Scatter Plots |
A: Problem-Solving Investigation: Use a Graph |
B: Explore – Scatter Plots |
C: Scatter Plots |
D: Explore – Lines of Best Fit |
E: Lines of Best Fit |
F: Extend – Graphing Technology: Scatter Plots |
G: Select an Appropriate Display |
Chapter 11: Probability and Combinations |
1 – Outcomes |
A: Count Outcomes |
B: Explore – Permutations |
C: Permutations |
D: Combinations |
2 – Probability |
A: Compound Events |
B: Explore – Relative Frequency |
C: Experimental and Theoretical Probability |
D: Extend – Geometric Probability |
3 – Data Collection |
A: Problem-Solving Investigation: Act It Out |
B: Simulations |
C: Extend – Graphing Technology: Simulations |
D: Use Sampling to Predict |
E: Extend – Collect Data |
Chapter 12: Area and Volume |
1 – Circumference and Area |
A: Explore – Perimeter and Area |
B: Circumference and Area of Circles |
C: Extend – Arcs and Angles |
D: Problem-Solving Investigation: Make a Model |
E: Area of Composite Figures |
2 – Volume |
A: Volume of Prisms and Cylinders |
B: Volume of Pyramids, Cones, and Spheres |
3 – Surface Area |
A: Explore – Surface Area of Cylinders |
B: Surface Area of Prisms and Cylinders |
C: Explore – Nets of Cones |
D: Surface Area of Pyramids and Cones |