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Chapter 1: Expressions and Patterns |
1 – Expressions |
A: Powers and Exponents |
B: Numerical Expressions |
C: Algebraic Expressions |
D: Properties |
2 – Patterns |
A: Problem-Solving Investigation: Look for a Pattern |
B: Sequences |
C: Extend – Sequences |
3 – Square Roots |
A: Explore – Perfect Squares |
B: Squares and Square Roots |
C: Estimate Square Roots |
Chapter 2: Integers |
1 – Integers and the Coordinate Plane |
A: Explore – Absolute Value |
B: Integers and Absolute Value |
C: The Coordinate Plane |
2 – Add and Subtract Integers |
A: Explore – Add Integers |
B: Add Integers |
C: Explore – Subtract Integers |
D: Subtract Integers |
3 – Multiply and Divide Integers |
A: Problem-Solving Investigation: Look for a Pattern |
B: Explore – Multiply and Divide Integers |
C: Multiply Integers |
D: Divide Integers |
Chapter 3: Rational Numbers |
1 – Rational Numbers |
A: Explore – The Number Line |
B: Terminating and Repeating Decimals |
C: Compare and Order Rational Numbers |
2 – Add and Subtract Fractions |
A: Add and Subtract Like Fractions |
B: Explore Unlike Fractions with Models |
C: Add and Subtract Unlike Fractions |
D: Add and Subtract Mixed Numbers |
3 – Multiply and Divide Fractions |
A: Explore – Multiply Fractions with Models |
B: Multiply Fractions |
C: Problem-Solving Investigation: Draw a Diagram |
D: Divide Fractions |
4 – Monomials |
A: Multiply and Divide Monomials |
B: Negative Exponents |
C: Scientific Notation |
Chapter 4: Equations and Inequalities |
1 – Addition and Subtraction Equations |
A: Problem-Solving Investigation: Work Backward |
B: Explore – Solve Addition and Subtraction Equations with Bar Diagrams |
C: Explore – Solve Equations Using Algebra Tiles |
D: Solve One-Step Addition and Subtraction Equations |
2 – Multiplication and Division Equations |
A: Explore – Multiplication Equations with Bar Diagrams |
B: Solve One-Step Multiplication and Division Equations |
C: Explore – Solve Equations with Rational Coefficients |
D: Solve Equations with Rational Coefficients |
3 – Multi-Step Equations |
A: Explore – Two-Step Equations with Bar Diagrams |
B: Solve Two-Step Equations |
C: Explore – Equations with Variables on Each Side |
D: Solve Equations with Variables on Each Side |
4 – Inequalitites |
A: Explore – Solve Inequalitites |
B: Solve Inequalities by Addition or Subtraction |
C: Solve Inequalities by Multiplication or Division |
Chapter 5: Proportions and Similarity |
1 – Proportions |
A: Explore – Unit Rates |
B: Rates |
C: Proportional and Nonproportional Relationships |
D: Solve Proportions |
E: Extend – Wildlife Sampling |
2 – Scale Drawings and Models |
A: Problem-Solving Investigation: Draw a Diagram |
B: Scale Drawings |
C: Extend – Spreadsheet: Scale Drawings |
3 – Similarity and Proportional Reasoning |
A: Similar Figures |
B: Perimeter and Area of Similar Figures |
C: Extend – The Golden Rectangle |
Chapter 6: Percent |
1 – Percents |
A: Explore – Percent Diagrams |
B: Percent of a Number |
C: Percent and Estimation |
2 – Proportions and Equations |
A: Explore – Find Percents |
B: The Percent Proportion |
C: The Percent Equation |
D: Problem-Solving Investigation: Determine Reasonable Answers |
3 – Applying Percents |
A: Explore – Percent of Change |
B: Percent of Change |
C: Sales Tax and Tips |
D: Discount |
E: Financial Literacy: Simple Interest |
F: Extend – Spreadsheet: Simple Interest |
Chapter 7: Linear Functions |
1 – Rates and Functions |
A: Explore – Relations and Functions |
B: Equations and Functions |
C: Functions and Graphs |
D: Extend – Graphing Technology: Graphing Relationships |
2 – Slope |
A: Explore – Rate of Change |
B: Constant Rate of Change |
D: Extend – Graphing Technology: Compare Graphs |
3 – Variation |
A: Problem-Solving Investigation: Use a Graph |
B: Explore – Proportional and Nonproportional Relationships |
C: Direct Variation |
D: Explore- Inverse Variation |
E: Inverse Variation |
Chapter 8: Probability and Predictions |
1 – Probability |
A: Probability and Simple Events |
B: Sample Spaces |
C: Count Outcomes |
D: Permutations |
2 – Compound Events |
A: Explore – Independent and Dependent Events |
B: Independent and Dependent Events |
3 – Predictions |
A: Theoretical and Experimental Probability |
B: Extend – Simulations |
C: Problem-Solving Investigation: Act It Out |
D: Explore – Fair and Unfair Games |
E: Use Data to Predict |
F: Unbiased and Biased Samples |
Chapter 9: Statistical Displays |
1 – Measures of Central Tendency |
A: Explore – Changes in Data Values |
B: Measures of Central Tendency |
C: Extend – Spreadsheet: Mean, Median, Mode |
2 – Measures of Variation |
A: Measures of Variation |
B: Box-and-Whisker Plots |
3 – Statistical Displays |
A: Explore – Circle Graphs |
B: Circle Graphs |
C: Histograms |
D: Extend – Graphing Technology: Histograms |
E: Stem-and-Leaf Plots |
4 – More Statistical Displays |
A: Problem Solving Investigation: Use a Graph |
B: Scatter Plots and Lines of Best Fit |
C: Select an Appropriate Display |
Chapter 10: Volume and Surface Area |
1 – Volume |
A: Explore – Meaning of Volume |
B: Volume of Prisms |
C: Volume of Cylinders |
D: Explore – Volume of Pyramids and Cones |
E: Volume of Pyramids |
F: Volume of Cones |
2 – Surface Area |
A: Explore – Nets of Three-Dimensional Figures |
B: Surface Area of Prisms |
C: Surface Area of Cylinders |
D: Extend – Surface Area and Volume |
E: Surface Area of Pyramids |
F: Extend – Net of a Cone |
3 – Composite Figures |
A: Problem Solving Investigation: Solve a Simpler Problem |
B: Explore – Composite Figures |
C: Volume and Surface Area of Composite Figures |
Chapter 11: Measurement and Proportional Reasoning |
1 – Convert Measurements |
A: Explore – Units of Measure |
B: Convert Customary Units |
C: Convert Metric Units |
D: Convert Between Systems |
E: Convert Rates |
F: Convert Units of Area and Volume |
2 – Similar Solids |
A: Problem Solving Investigations: Make a Model |
B: Explore – Changes in Scale |
C: Changes in Dimensions |
Chapter 12: Polygons and Transformations |
1 – Polygons |
A: Angle Relationships |
B: Explore – Triangles |
C: Triangles |
D: Quadrilaterals |
E: Polygons and Angles |
2 – Translations |
A: Explore – Congruence |
B: Translations in the Coordinate Plane |
C: Extend – Tessellations |
3 – Reflections |
A: Explore – Line Symmetry |
B: Reflections in the Coordinate Plane |
4 – Rotations |
A: Explore – Rotational Symmetry |
B: Rotations in the Coordinate Plane |
5 – Dilations |
A: Dilations |
B: Problem-Solving Investigation: Work Backward |