The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills
150 Mini-Lessons for Correcting Common Mistakes
Published on 15. November 2011
320 pages
978-1-118-10613-6 (ISBN)
Description
Easy to apply lessons for reteaching difficult algebraconcepts
Many students have trouble grasping algebra. In this book,bestselling authors Judith, Gary, and Erin Muschla offer help formath teachers who must instruct their students (even those who arestruggling) about the complexities of algebra. In simple terms, theauthors outline 150 classroom-tested lessons, focused on thoseconcepts often most difficult to understand, in terms that aredesigned to help all students unravel the mysteries of algebra.Also included are reproducible worksheets that will assist teachersin reviewing and reinforcing algebra concepts and key skills.
* Filled with classroom-ready algebra lessons designed forstudents at all levels
* The 150 mini-lessons can be tailored to a whole class, smallgroups, or individual students who are having trouble
* This practical, hands-on resource will help ensure thatstudents really get the algebra they are learning
More details
Other editions
Additional editions
Judith A. Muschla | Gary R. Muschla | Erin Muschla
The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills
150 Mini-Lessons for Correcting Common Mistakes
Book
12/2011
1st Edition
Jossey-Bass
€31.00
Article not available at the moment
Persons
Judith A. Muschla (Jackson, NJ) taught mathematics in South River, New Jersey, at the middle school and high school for over twenty-five years. At South River Middle School she helped revise the mathematics curriculum to reflect the Standards of the National Council of Teachers of Mathematics (NCTM), coordinated interdisciplinary units, and conducted mathematics workshops for teachers and parents.
Gary Robert Muschla (Jackson, NJ) taught at Appleby School in Spotswood, New Jersey, for more than twenty-five years. Judith and Gary have coauthored several very successful math activity books, including The Algebra Teacher's Activities Kit and Hands-On Math Projects with Real Life Applications.
Erin Muschla (Freehold, NJ) teaches middle school math and algebra at Monroe Township Middle School in Monroe, New Jersey. She is also a coauthor with Judith and Gary of The Math Teacher's Survival Guide, and The Elementary Teacher's Book of Lists.
Content
- Intro
- The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills
- About This Book
- About The Authors
- Acknowledgments
- Jossey-Bass Teacher
- Contents
- Section 1: Integers, Variables, and Expressions
- 1.1: Using the Order of Operations
- 1.2: Simplifying Expressions That Have Grouping Symbols
- 1.3: Simplifying Expressions with Nested Grouping Symbols
- 1.4: Using Positive Exponents and Bases Correctly
- 1.5: Simplifying Expressions with Grouping Symbols and Exponents
- 1.6: Evaluating Expressions
- 1.7: Writing Expressions
- 1.8: Writing Expressions Involving Grouping Symbols
- 1.9: Identifying Patterns by Considering All of the Numbers
- 1.10: Writing Prime Factorization
- 1.11: Finding the Greatest Common Factor
- 1.12: Finding the Least CommonMultiple
- 1.13: Classifying Counting Numbers, Whole Numbers, and Integers
- 1.14: Finding Absolute Values and Opposites
- 1.15: Adding Integers with Different Signs
- 1.16: Subtracting Integers
- 1.17: Multiplying Two Integers
- 1.18: MultiplyingMore Than Two Integers
- 1.19: Using Integers as Bases
- 1.20: Dividing Integers
- 1.21: Finding Absolute Values of Expressions
- 1.22: Finding Square Roots of Square Numbers
- Section 2: Rational Numbers
- 2.1: Classifying Counting Numbers, Whole Numbers, Integers, and Rational Numbers
- 2.2: Simplifying Fractions
- 2.3: RewritingMixed Numbers as Improper Fractions
- 2.4: Comparing Rational Numbers
- 2.5: Expressing Rational Numbers as Decimals
- 2.6: Expressing Terminating Decimals as Fractions or Mixed Numbers
- 2.7: Expressing Repeating Decimals as Fractions or Mixed Numbers
- 2.8: Adding Rational Numbers
- 2.9: Subtracting Rational Numbers
- 2.10: Multiplying and Dividing Rational Numbers
- 2.11: Expressing Large Numbers in Scientific Notation
- 2.12: Evaluating Rational Expressions
- 2.13: Writing Ratios Correctly
- 2.14: Writing and Solving Proportions
- 2.15: Expressing Fractions as Percents
- 2.16: Expressing Percents as Fractions
- 2.17: Solving Percent Problems
- 2.18: Finding the Percent of Increase or Decrease
- 2.19: Converting from One Unit of Measurement to Another Using theMultiplication Property of One
- Section 3: Equations and Inequalities
- 3.1: Writing Equations
- 3.2: Solving Equations by Adding or Subtracting
- 3.3: Solving Equations byMultiplying or Dividing
- 3.4: Solving Two-Step Equations with the Variable on One Side 94
- 3.5: Solving Equations Using the Distributive Property.
- 3.6: Solving Equations with Variables on Both Sides
- 3.7: Solving Equations with Variables on Both Sides, Including Identities and Equations That Have No Solution
- 3.8: Solving Absolute Value Equations
- 3.9: Solving Absolute Value Equations That Have Two Solutions, One Solution, or No Solution
- 3.10: Classifying Inequalities as True or False
- 3.11: Writing Inequalities.
- 3.12: Solving Inequalities with Variables on One Side.
- 3.13: Rewriting Combined Inequalities as One Inequality
- 3.14: Solving Combined Inequalities-Conjunctions
- 3.15: Solving Combined Inequalities-Disjunctions
- 3.16: Solving Absolute Value Inequalities
- 3.17: Solving Systems of Equations Using the Substitution Method
- 3.18: Solving Systems of Equations Using the Addition-or-Subtraction Method
- 3.19: Solving Systems of Equations Using Multiplication with the Addition-or-SubtractionMethod
- 3.20: Solving Systems of Equations Using a Variety of Methods
- 3.21: Solving Systems of Equations That Have One Solution, No Solution, or an Infinite Number of Solutions
- 3.22: Using Matrices-Addition, Subtraction, and Scalar Multiplication
- 3.23: Identifying Conditions forMultiplying TwoMatrices
- 3.24: Multiplying TwoMatrices
- Section 4: Graphs of Points and Lines
- 4.1: Graphing on a Number Line
- 4.2: Graphing Conjunctions
- 4.3: Graphing Disjunctions
- 4.4: Graphing Ordered Pairs on the Coordinate Plane
- 4.5: Completing T-Tables
- 4.6: Finding the Slope of a Line, Given Two Points on the Line
- 4.7: Identifying the Slope and Y-Intercept from an Equation
- 4.8: Using Equations to Find the Slopes of Lines
- 4.9: Identifying Parallel and Perpendicular Lines, Given an Equation
- 4.10: Using the X-Intercept and the Y-Intercept to Graph a Linear Equation
- 4.11: Using Slope-Intercept Form to Graph the Equation of a Line
- 4.12: Graphing Linear Inequalities in the Coordinate Plane
- 4.13: Writing a Linear Equation, Given Two Points
- 4.14: Finding the Equation of the Line of Best Fit
- 4.15: Using theMidpoint Formula
- 4.16: Using the Distance Formula to Find the Distance Between Two Points
- 4.17: Graphing Systems of Linear Equations When Lines Intersect
- 4.18: Graphing Systems of Linear Equations if Lines Intersect, Are Parallel, or Coincide
- Section 5: Monomials and Polynomials
- 5.1: ApplyingMonomial Vocabulary Accurately
- 5.2: Identifying Similar Terms
- 5.3: Adding Polynomials
- 5.4: Subtracting Polynomials
- 5.5: MultiplyingMonomials
- 5.6: Using Powers ofMonomials
- 5.7: Multiplying a Polynomial by aMonomial
- 5.8: Multiplying Two Binomials
- 5.9: Multiplying Two Polynomials
- 5.10: DividingMonomials
- 5.11: Dividing Polynomials
- 5.12: Finding the Greatest Common Factor of Two or More Monomials
- 5.13: Factoring Polynomials by Finding the Greatest Monomial Factor
- 5.14: Factoring the Difference of Squares
- 5.15: Factoring Trinomials if the Last TermIs Positive
- 5.16: Factoring Trinomials if the Last TermIs Negative
- 5.17: Factoring by Grouping
- 5.18: Factoring Trinomials if the Leading Coefficient Is an Integer Greater Than 1
- 5.19: Factoring the Sums and Differences of Cubes
- 5.20: Solving Quadratic Equations by Factoring
- 5.21: Solving Quadratic Equations by Finding Square Roots
- 5.22: Solving Quadratic Equations Using the Quadratic Formula
- 5.23: Using the Discriminant
- Section 6: Rational Expressions
- 6.1: Using Zero and Negative Numbers as Exponents
- 6.2: Using the Properties of Exponents That Apply to Division
- 6.3: Using the Properties of Exponents That Apply to Multiplication and Division
- 6.4: Identifying Restrictions on the Variable
- 6.5: Simplifying Algebraic Fractions
- 6.6: Adding and Subtracting Algebraic Fractions with Like Denominators
- 6.7: Finding the Least CommonMultiple of Polynomials
- 6.8: Writing Equivalent Algebraic Fractions
- 6.9: Adding and Subtracting Algebraic Fractions with Unlike Denominators
- 6.10: Multiplying and Dividing Algebraic Fractions
- 6.11: Solving Proportions
- 6.12: Solving Equations That Have Fractional Coefficients
- 6.13: Solving Fractional Equations
- Section 7: Irrational and Complex Numbers
- 7.1: Simplifying Radicals
- 7.2: Multiplying Radicals
- 7.3: Rationalizing the Denominator
- 7.4: Dividing Radicals
- 7.5: Adding and Subtracting Radicals
- 7.6: Multiplying Two Binomials Containing Radicals
- 7.7: Using Conjugates to Simplify Radical Expressions
- 7.8: Simplifying Square Roots of Negative Numbers
- 7.9: Multiplying Imaginary Numbers
- 7.10: Simplifying ComplexNumbers
- Section 8: Functions
- 8.1: Determining if a Relation Is a Function
- 8.2: Finding the Domain of a Function
- 8.3: Finding the Range of a Function
- 8.4: Using the Vertical Line Test
- 8.5: Describing Reflections of the Graph of a Function
- 8.6: Describing Vertical Shifts of the Graph of a Function
- 8.7: Describing Horizontal and Vertical Shifts of the Graph of a Function
- 8.8: Describing Dilations of the Graph of a Function
- 8.9: Finding the Composite of Two Functions
- 8.10: Finding the Inverse of a Function
- 8.11: Evaluating the Greatest Integer Function
- 8.12: Identifying Direct and Indirect Variation
- 8.13: Describing the Graph of the Quadratic Function
- 8.14: Using Rational Numbers as Exponents
- 8.15: Using Irrational Numbers as Exponents
- 8.16: Solving Exponential Equations
- 8.17: Using the Compound Interest Formula
- 8.18: Solving Radical Equations
- 8.19: Writing Logarithmic Equations as Exponential Equations
- 8.20: Solving Logarithmic Equations
- 8.21: Using the Properties of Logarithms
- Common Core State Standards for Mathematics
