# Algebra Teacher's Activities Kit: 150 Ready-to-Use Activities with Real-World Applications

ISBN: 978-0-7879-6598-3
348 pages
August 2003, Jossey-Bass
Algebra Teacher's Activities Kit is a unique resource that provides 150 ready-to-use algebra activities designed to help students in grades 6-12 master pre-algebra, Algebra I, and Algebra II. The book covers the skills typically included in an algebra curriculum. Developed to motivate and challenge students, many of the activities focus on real-life applications. Each of the book's ten sections contains teaching suggestions that provide teachers with strategies for implementing activities and are accompanied by helpful answer keys. The activities supply students with quick feedback, and many of the answers are self-correcting.

Each activity stands alone and can be applied in the manner that best fits your particular teaching program. Algebra Teacher's Activities Kit can be used as a supplement to your instructional program, to reinforce skills and concepts you've previously taught, for extra credit assignments, or to assist substitute teachers.

For quick access and easy use, the activities are printed in a big 8 1/2" x 11" lay-flat format for photocopying and are organized into ten sections.

THE LANGUAGE OF ALGEBRA (USING WHOLE NUMBERS) provides 15 activities, such as Using Square Numbers . . . Writing Phrases as Algebraic Expressions . . . Evaluating Expressions Using Exponents.

INTEGERS, VARIABLES, AND EXPRESSIONS offers 15 activities, such as Using a Number Line to Graph Integers . . . Comparing Sums and Differences . . . Solving Word Problems with Integers.

LINEAR EQUATIONS AND INEQUALTIES includes 24 exercises, such as Creating Word Problems . . . Solving Simple Percent Problems . . . Adding and Subtracting Matrices.

GRAPHING LINEAR EQUATIONS AND INEQUALITIES is packed with 15 activities, including Graphing Points on the Coordinate Plane . . . Finding the Slope of a Line . . . Solving Systems of Equations by Graphing.

BASIC OPERATIONS WITH MONOMIALS AND POLYNOMIALS offers 12 activities, such as Using the Terms of Polynomials . . . Finding Powers of Monomials . . . Finding Cubes of Binomials.

FACTORS OF MONOMIALS AND POLYNOMIALS features 12 exercises, such as Finding the Missing Factor . . . Factoring Trinomials . . . Factoring the Sum and Difference of Cubes.

FUNCTIONS AND RELATIONS provides 12 activities, including Identifying Functions . . . Finding the Domain of a Function . . . Evaluating the Greatest Integer Function.

COMPLEX NUMBERS offers 12 activities, such as Simplifying Square Roots . . . Multiplying and Dividing Radicals . . . Using Complex Numbers to Simply Expressions.

POLYNOMIAL, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS gives you 13 exercises, including Solving Quadratic Equations by Factoring . . . Finding the Zeroes of Polynomial Functions . . . Borrowing and Repaying Money (with Interest).

POTPOURRI offers you 20 exercises such as Cracking a Code . . . Building an Algebra Vocabulary Chain . . . Famous Mathematicians and Algebra.

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Introduction.

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

Teaching Suggestions for the Activities.

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.

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

Activity 2-2: Representing 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.

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.

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.

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.

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.

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.

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.

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.

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.

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Judith A. Muschla (B.A. Mathematics, K—12) has taught mathematics in South River, New Jersey, for over twenty-five years. She was a recipient of the 1990—91 Governor’s Teacher Recognition Program award in New Jersey, and she was named the 2002 South River Public Schools District Teacher of the Year. Muschla has been a member of the state Standards Review Panel for the Mathematics Core Curriculum Content Standards in New Jersey.
Gary Robert Muschla (B.A. and M.A.T., Trenton State College) taught reading and writing for more than twenty-five years at Appleby School in Spotswood, New Jersey. He is the author of several practical resources for teachers.

This is the sixth math resource coauthored by Judith Muschla and Gary Muschla. Their earlier books include The Math Teacher’s Book of Lists, Hands-on Math Projects with Real-Life Applications, Math Starters, The Geometry Teacher’s Activities Kit, and Math Smart, all published by Jossey-Bass Publishers.

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