Lesson Previews

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Chapter 1: Algebraic Expressions and Integers

1-1 Variables and Expressions;  1-2 Order of Operations;   1-3 Evaluating Expressions;   1-4 Integers and Absolute Value;   1-5 Adding Integers;   1-6 Subtracting Integers;   1-7 Inductive Reasoning;   1-8 Reasoning Strategy: Look for a Pattern;   1-9 Multiplying and Dividing Integers;  1-10 The Coordinate Plane

Chapter 2: Solving One-Step Equations and Inequalities

2-1 Properties of Numbers;  2-2 The Distributive Property;  2-3 Simplifying Variable Expressions;  2-4 Variables and Equations;  2-5 Solving Equations Using Addition or Subtraction;  2-6 Solving Equations Using Multiplication or Division;  2-7 Reasoning Strategy: Try, Test, Revise;   2-8 Inequalities and Their Graphs;  2-9 Solving One-Step Inequalities Using Addition or Subtraction;   2-10 Solving One-Step Inequalities Using Multiplication or Division

Chapter 3: Decimals and Equations

3-1 Rounding and Estimating;  3-2 Estimating Decimal Products and Quotients;  3-3 Mean, Median, and Mode;  3-4 Using Formulas;  3-5 Solving Equations by Adding or Subtracting Decimals;  3-6 Solving Equations by Multiplying or Dividing Decimals;  3-7 Using the Metric System;  3-8 Reasoning Strategy: Simplify a Problem

Chapter 4: Factors, Fractions, and Exponents

4-1 Divisibility and Factors;  4-2 Exponents;  4-3 Prime Factorization and Greatest Common Factor;  4-4 Simplifying Fractions;  4-5 Reasoning Strategy: Account for All Possibilities,   4-6 Rational Numbers;  4-7 Exponents and Multiplication;  4-8a Zero and Negative Exponents;   4-8b Exponents and Division;  4-9 Scientific Notation

Chapter 5: Operations with Fractions

5-1 Comparing and Ordering Fractions;  5-2 Fractions and Decimals;  5-3 Adding and Subtracting Fractions;  5-4 Multiplying and Dividing Fractions;  5-5 Using Customary Units of Measurement;  5-6 Reasoning Strategy: Work Backward;   5-7 Solving Equations by Adding or Subtracting Fractions;  5-8 Solving Equations by Multiplying Fractions;  5-9 Powers of Products and Quotients

 Chapter 6: Ratios, Proportions, and Percents

6-1 Ratios and Unit Rates;  6-2 Proportions;  6-3 Similar Figures and Scale Drawings;  6-4 Probability;  6-5 Fractions, Decimals, and Percents;  6-6 Proportions and Percents;  6-7 Percents and Equations;  6-8 Percent of Change;  6-9 Markup and Discount;   6-10 Reasoning Strategy: Make a Table

 Chapter 7: Solving Equations and Inequalities

7-1 Solving Two-Step Equations;  7-2 Solving Multi-Step Equations;  7-3 Multi-Step Equations with Fractions and Decimals;   7-4 Reasoning Strategy: Write an Equation;  7-5 Solving Equations with Variables on Both Sides;    7-6 Solving Two-Step Inequalities;  7-7 Transforming Formulas;   7-8a Simple Interest;   7-8b Compound Interest

Chapter 8: Linear Functions and Graphing

8-1 Relations and Functions;  8-2a Finding Solutions to Linear Equations;  8-2b Graphing Linear Equations Using x-y Charts;   8-3a Finding the Slope of a Line;   8-3b Slope and y-intercept;   8-4 Writing Rules for Linear Functions;  8-5 Scatter Plots;  8-6 Reasoning Strategy: Solve by Graphing;   8-7 Solving Systems of Linear Equations;  8-8 Graphing Linear Inequalities

 Chapter 9: Spatial Thinking

9-1 Points, Lines, and Planes;  9-2 Angle Relationships and Parallel Lines;  9-3a Classifying Triangles;  9-3b Classifying Quadrilaterals;   9-3c Classifying Polygons;   9-4 Reasoning Strategy: Draw a Diagram;   9-5 Congruence;    9-6 Circles;  9-7 Constructions;   9-8 Translations;  9-9 Symmetry and Reflections;  9-10 Rotations

Chapter 10: Area and Volume

10-1 Area: Parallelograms;  10-2 Area: Triangles and Trapezoids;  10-3 Area: Circles;  10-4 Space Figures;  10-5 Surface Area: Prisms and Cylinders;  10-6 Surface Area: Pyramids, Cones, and Spheres;  10-7 Volume: Prisms and Cylinders;  10-8 Reasoning Strategy: Make a Model;   10-9 Volume: Pyramids, Cones, and Spheres

Chapter 11: Right Triangles in Algebra

11-1a Real Numebrs System;  11-1b Square Roots and Irrational Numbers;  11-2a The Pythagorean Theorem;  11-2b The Converse of the Pythagorean Theorem;  11-3a Distance Formula;  11-3b Midpoint Formula;  11-4 Reasoning Strategy: Write a Proportion;  11-5 Special Right Triangles;    11-6 Sine, Cosine, and Tangent Ratios;  11-7 Angles of Elevation and Depression

Chapter 12: Data Analysis and Probability

12-1 Frequency Tables and Line Plots;  12-2 Box-and-Whisker Plots;  12-3 Using Graphs to Persuade;  12-4 Counting Outcomes and Theoretical Probability;  12-5 Independent and Dependent Events;  12-6 Permutations and Combinations;  12-7 Experimental Probability;   12-8 Random Samples and Surveys;   12-9 Reasoning Strategy: Simulate a Problem

   Chapter 13: Nonlinear Functions and Polynomials

13-1 Patterns and Sequences;  13-2 Graphing Nonlinear Functions;  13-3 Growth and Decay;  13-4 Polynomials;  13-5 Adding and Subtracting Polynomials;  13-6 Multiplying a Polynomial by a Monomial;  13-7 Multiplying Binomials;   13-8 Reasoning Strategy: Use Multiple Strategies