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    The algebra teacher's guide to reteaching essential concepts and skills : 150 mini-lessons for correcting common mistakes / Judith A. Muschla, Gary Robert Muschla, Erin Muschla.

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    • Title:The algebra teacher's guide to reteaching essential concepts and skills : 150 mini-lessons for correcting common mistakes / Judith A. Muschla, Gary Robert Muschla, Erin Muschla.
    •    
    • Variant Title:Algebra teacher's guide to reteaching essential concepts & skills
      150 mini-lessons for correcting common mistakes
    • Author/Creator:Muschla, Judith A.
    • Other Contributors/Collections:Muschla, Gary Robert.
      Muschla-Berry, Erin.
    • Published/Created:San Francisco, CA : Jossey-Bass, ©2011.

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    • Library of Congress Subjects:Algebra--Study and teaching (Middle school)
      Algebra--Study and teaching (Secondary)
    • Edition:1st ed.
    • Description:xiv, 322 p. : ill. ; 28 cm.
    • Series:Jossey-Bass teacher.
    • Notes:"Grade 6-12"--Cover.
    • ISBN:9780470872826
      0470872829
    • Contents:Machine generated contents note: 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 Common Multiple
      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. Multiplying More 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. Rewriting Mixed 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 the Multiplication Property of One
      Section 3 Equations And Inequalities
      3.1. Writing Equations
      3.2. Solving Equations by Adding or Subtracting
      3.3. Solving Equations by Multiplying or Dividing
      3.4. Solving Two-Step Equations with the Variable on One Side
      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-Subtraction Method
      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 for Multiplying Two Matrices
      3.24. Multiplying Two Matrices
      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 the Midpoint 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. Applying Monomial Vocabulary Accurately
      5.2. Identifying Similar Terms
      5.3. Adding Polynomials
      5.4. Subtracting Polynomials
      5.5. Multiplying Monomials
      5.6. Using Powers of Monomials
      5.7. Multiplying a Polynomial by a Monomial
      5.8. Multiplying Two Binomials
      5.9. Multiplying Two Polynomials
      5.10. Dividing Monomials
      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 Term Is Positive
      5.16. Factoring Trinomials if the Last Term Is 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 Common Multiple 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 Complex Numbers
      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.
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