Section 1: The Language of Algebra (Using Whole Numbers).

Teaching Suggestions for the Activities.

Answer Key for Section 1.

Activity 1-1: Using the Order of Operations I.

Activity 1-2: Using the Order of Operations II.

Activity 1-3: Using the Order of Operations III.

Activity 1-4: Using Square Numbers.

Activity 1-5: Translating Algebraic Expressions into Phrases.

Activity 1-6: Writing Phrases as Algebraic Expressions I.

Activity 1-7: Writing Phrases as Algebraic Expressions II.

Activity 1-8: Simplifying Expressions by Combining Like Terms.

Activity 1-9: Simplifying and Evaluating Expressions.

Activity 1-10: Evaluating Expressions Using Exponents.

Activity 1-11: Writing Equations.

Activity 1-12: Writing Equations and Inequalities I.

Activity 1-13: Writing Equations and Inequalities II.

Activity 1-14: Identifying the Solution of an Equation.

Activity 1-15: Determining the Solutions of Equations and Inequalities.

Section 2: Integers, Variables, and Expressions.

Teaching Suggestions for the Activities.

Answer Key for Section 2.

Activity 2-1: Using a Number Line to Graph Integers.

Activity 2-2: Representing Integers.

Activity 2-3: Adding Integers.

Activity 2-4: Adding and Subtracting Integers.

Activity 2-5: Comparing Sums and Differences.

Activity 2-6: Multiplying and Dividing Integers.

Activity 2-7: Solving Word Problems with Integers.

Activity 2-8: Simplifying Expressions by Combining Similar Terms.

Activity 2-9: Using the Distributive Property to Simplify Expressions.

Activity 2-10: Integers and Using the Order of Operations I.

Activity 2-11: Integers and Using the Order of Operations II.

Activity 2-12: Evaluating Expressions.

Activity 2-13: Finding the Absolute Value.

Activity 2-14: Using Scientific Notation.

Activity 2-15: Reviewing the Concepts and Skills of Integers.

Section 3: Linear Equations and Inequalities.

Teaching Suggestions for the Activities.

Answer Key for Section 3.

Activity 3-1: Identifying Solutions of Equations and Inequalities.

Activity 3-2: Writing and Solving One-step Equations I.

Activity 3-3: Writing and Solving One-step Equations II.

Activity 3-4: Creating Word Problems.

Activity 3-5: Using Formulas for Finding Temperatures.

Activity 3-6: Solving Multi-step Equations I.

Activity 3-7: Solving Multi-step Equations II.

Activity 3-8: Writing and Solving Multi-step Equations.

Activity 3-9: Writing and Using Direct Variations.

Activity 3-10: Solving Proportions.

Activity 3-11: Solving Simple Percent Problems.

Activity 3-12: Solving Word Problems Involving Percents.

Activity 3-13: Finding the Percent of Increase or Decrease.

Activity 3-14: Writing Equivalent Equations.

Activity 3-15: Solving Equations with Variables on Both Sides.

Activity 3-16: Writing and Solving Equations with Variables on Both Sides.

Activity 3-17: Solving One-step Inequalities.

Activity 3-18: Solving Multi-step Inequalities.

Activity 3-19: Writing and Solving Inequalities.

Activity 3-20: Verifying Solutions of Systems of Linear Equations.

Activity 3-21: Solving Systems of Linear Equations.

Activity 3-22: Solving Word Problems by Writing Systems of Equations.

Activity 3-23: Adding and Subtracting Matrices.

Activity 3-24: Multiplying Matrices.

Section 4: Graphing Linear Equations and Inequalities.

Teaching Suggestions for the Activities.

Answer Key for Section 4.

Activity 4-1: Graphing the Solutions of Equations and Inequalities on a Number Line.

Activity 4-2: Graphing the Solutions of Combined Inequalities on the Number Line.

Activity 4-3: Graphing Points on the Coordinate Plane.

Activity 4-4: Finding the Slope and Y-intercept from a Graph.

Activity 4-5: Using the Slope and Y-intercept to Graph a Line.

Activity 4-6: Finding the Slope of a Line.

Activity 4-7: Finding the X- and Y-intercepts.

Activity 4-8: Using the X- and Y-intercepts to Graph a Line.

Activity 4-9: Writing the Equation of a Line When Given Two Points.

Activity 4-10: Writing About Graphs of Lines.

Activity 4-11: Determining Whether Data Suggests a Line.

Activity 4-12: Finding the Equation of the Line of Best Fit.

Activity 4-13: Graphing Inequalities on the Coordinate Plane.

Activity 4-14: Solving Systems of Equations by Graphing.

Activity 4-15: Solving Systems of Inequalities by Graphing.

Section 5: Basic Operations with Monomials and Polynomials.

Teaching Suggestions for the Activities.

Answer Key for Section 5.

Activity 5-1: Writing Expressions in Exponential Form.

Activity 5-2: Using the Terms of Polynomials.

Activity 5-3: Adding and Subtracting Polynomials.

Activity 5-4: Multiplying Monomials.

Activity 5-5: Finding Powers of Monomials.

Activity 5-6: Dividing Monomials.

Activity 5-7: Simplifying and Evaluating Expressions.

Activity 5-8: Multiplying a Polynomial by a Monomial.

Activity 5-9: Multiplying Binomials.

Activity 5-10: Multiplying Two Polynomials.

Activity 5-11: Dividing a Polynomial by a Binomial.

Activity 5-12: Finding Cubes of Binomials.

Section 6: Factors of Monomials and Polynomials.

Teaching Suggestions for the Activities.

Answer Key for Section 6.

Activity 6-1: Finding the GCF of Whole Numbers.

Activity 6-2: Finding the GMF.

Activity 6-3: Finding the Missing Factor.

Activity 6-4: Factoring the Difference of Squares.

Activity 6-5: Finding Factors, Sums, and Differences.

Activity 6-6: Factoring Trinomials I.

Activity 6-7: Factoring Trinomials II.

Activity 6-8: Factoring Binomials and Trinomials.

Activity 6-9: Factoring by Grouping.

Activity 6-10: Factoring the Sum and Difference of Cubes.

Activity 6-11: Factoring Polynomials Completely.

Activity 6-12: Reviewing Factoring Skills.

Section 7: Functions and Relations.

Teaching Suggestions for the Activities.

Answer Key for Section 7.

Activity 7-1: Completing T-Tables.

Activity 7-2: Identifying Functions.

Activity 7-3: Finding the Values of Functions.

Activity 7-4: Identifying the Domain and Range of a Function.

Activity 7-5: Finding the Domain of a Function.

Activity 7-6: Using the Basic Operations with Functions.

Activity 7-7: Finding the Composition of Functions.

Activity 7-8: Finding the Inverses of Functions.

Activity 7-9: Evaluating the Greatest Integer Function.

Activity 7-10: Evaluating Piecewise-Defined Functions.

Activity 7-11: Identifying Graphs of Families of Functions.

Activity 7-12: Reviewing the Concepts and Applications of Functions.

Section 8: Complex Numbers.

Teaching Suggestions for the Activities.

Answer Key for Section 8.

Activity 8-1: Identifying Subsets of Real Numbers.

Activity 8-2: Expressing Fractions as Repeating Decimals and Repeating Decimals as Fractions.

Activity 8-3: Simplifying Square Roots.

Activity 8-4: Finding the Nth Root of a Number.

Activity 8-5: Multiplying and Dividing Radicals.

Activity 8-6: Rationalizing the Denominator.

Activity 8-7: Simplifying Sums and Differences of Radicals.

Activity 8-8: Simplifying Products That Contain Radicals.

Activity 8-9: Using Conjugates to Simplify Products and Quotients.

Activity 8-10: Using i.

Activity 8-11: Using Complex Numbers to Simplify Expressions.

Activity 8-12: Reviewing Concepts and Skills Related to Complex Numbers.

Section 9: Polynomial, Exponential, and Logarithmic Functions.

Teaching Suggestions for the Activities.

Answer Key for Section 9.

Activity 9-1: Solving Quadratic Equations by Factoring.

Activity 9-2: Solving Simple Quadratic Equations.

Activity 9-3: Solving a Quadratic Equation by Completing the Square.

Activity 9-4: Using the Quadratic Formula.

Activity 9-5: Using Equations to Describe Parabolas.

Activity 9-6: Classifying Polynomial Functions.

Activity 9-7: Using Synthetic Division.

Activity 9-8: Using Synthetic Division to Factor Polynomials.

Activity 9-9: Finding the Zeroes of Polynomial Functions.

Activity 9-10: Solving Exponential Equations.

Activity 9-11: Solving Equations Involving Logarithms.

Activity 9-12: Borrowing and Repaying Money (with Interest).

Activity 9-13: Calculating Compound Interest.

Section 10: Potpourri.

Teaching Suggestions for the Activities.

Answer Key for Section 10.

Activity 10-1: Know the Rules.

Activity 10-2: Cracking a Code.

Activity 10-3: Simplifying Expressions.

Activity 10-4: Following Instructions.

Activity 10-5: Following Algebraic Directions.

Activity 10-6: Scrambled Algebra.

Activity 10-7: Getting from A to B.

Activity 10-8: Building an Algebra Vocabulary Chain.

Activity 10-9: Finding Equal Values.

Activity 10-10: Finding Algebra Words.

Activity 10-11: The Words of Algebra.

Activity 10-12: Creating Equations with Variables.

Activity 10-13: Is It True or False?

Activity 10-14: Algebra and Interesting Facts.

Activity 10-15: Who Used It First?

Activity 10-16: Algebra Stumpers.

Activity 10-17: Famous Mathematicians and Algebra.

Activity 10-18: Who Wrote It?

Activity 10-19: An Algebra Research Paper.

Activity 10-20: An Algebra Essay.