
The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills
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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
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