Algebra Teacher's Guide to Reteaching Essential Concepts and Skills
150 Mini-Lessons for Correcting Common Mistakes
Häftad, Engelska, 2011
Av Judith A. Muschla, Gary R. Muschla, Erin Muschla, Judith A Muschla, Gary R Muschla
449 kr
Produktinformation
- Utgivningsdatum2011-12-20
- Mått216 x 279 x 18 mm
- Vikt785 g
- FormatHäftad
- SpråkEngelska
- Antal sidor336
- FörlagJohn Wiley & Sons Inc
- ISBN9780470872826
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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.
- About This Book iii About the Authors vAcknowledgments viiSECTION 1: INTEGERS, VARIABLES, AND EXPRESSIONS 11.1: Using the Order of Operations 21.2: Simplifying Expressions That Have Grouping Symbols 41.3: Simplifying Expressions with Nested Grouping Symbols 61.4: Using Positive Exponents and Bases Correctly 81.5: Simplifying Expressions with Grouping Symbols and Exponents 101.6: Evaluating Expressions 121.7: Writing Expressions 141.8: Writing Expressions Involving Grouping Symbols 161.9: Identifying Patterns by Considering All of the Numbers 181.10: Writing Prime Factorization 201.11: Finding the Greatest Common Factor 221.12: Finding the Least CommonMultiple 241.13: Classifying Counting Numbers, Whole Numbers, and Integers 261.14: Finding Absolute Values and Opposites 281.15: Adding Integers with Different Signs 301.16: Subtracting Integers 321.17: Multiplying Two Integers 341.18: MultiplyingMore Than Two Integers 361.19: Using Integers as Bases 381.20: Dividing Integers 401.21: Finding Absolute Values of Expressions 421.22: Finding Square Roots of Square Numbers 44SECTION 2: RATIONAL NUMBERS 472.1: Classifying Counting Numbers, Whole Numbers, Integers, and Rational Numbers 482.2: Simplifying Fractions 502.3: RewritingMixed Numbers as Improper Fractions 522.4: Comparing Rational Numbers 542.5: Expressing Rational Numbers as Decimals 562.6: Expressing Terminating Decimals as Fractions or Mixed Numbers 582.7: Expressing Repeating Decimals as Fractions or Mixed Numbers 602.8: Adding Rational Numbers 622.9: Subtracting Rational Numbers 642.10: Multiplying and Dividing Rational Numbers 662.11: Expressing Large Numbers in Scientific Notation 682.12: Evaluating Rational Expressions 702.13: Writing Ratios Correctly 722.14: Writing and Solving Proportions 742.15: Expressing Fractions as Percents 762.16: Expressing Percents as Fractions 782.17: Solving Percent Problems 802.18: Finding the Percent of Increase or Decrease 822.19: Converting from One Unit of Measurement to Another Using theMultiplication Property of One 84SECTION 3: EQUATIONS AND INEQUALITIES 873.1: Writing Equations 883.2: Solving Equations by Adding or Subtracting 903.3: Solving Equations byMultiplying or Dividing 923.4: Solving Two-Step Equations with the Variable on One Side 943.5: Solving Equations Using the Distributive Property 963.6: Solving Equations with Variables on Both Sides 983.7: Solving Equations with Variables on Both Sides, Including Identities and Equations That Have No Solution 1003.8: Solving Absolute Value Equations 1023.9: Solving Absolute Value Equations That Have Two Solutions, One Solution, or No Solution 1043.10: Classifying Inequalities as True or False 1063.11: Writing Inequalities 1083.12: Solving Inequalities with Variables on One Side 1103.13: Rewriting Combined Inequalities as One Inequality 1123.14: Solving Combined Inequalities—Conjunctions 1143.15: Solving Combined Inequalities—Disjunctions 1163.16: Solving Absolute Value Inequalities 1183.17: Solving Systems of Equations Using the Substitution Method 1203.18: Solving Systems of Equations Using the Addition-or-SubtractionMethod 1223.19: Solving Systems of Equations Using Multiplication with the Addition-or-SubtractionMethod 1243.20: Solving Systems of Equations Using a Variety of Methods 1263.21: Solving Systems of Equations That Have One Solution, No Solution, or an Infinite Number of Solutions 1283.22: Using Matrices—Addition, Subtraction, and Scalar Multiplication 1303.23: Identifying Conditions forMultiplying TwoMatrices 1323.24: Multiplying TwoMatrices 134SECTION 4: GRAPHS OF POINTS AND LINES 1374.1: Graphing on a Number Line 1384.2: Graphing Conjunctions 1404.3: Graphing Disjunctions 1424.4: Graphing Ordered Pairs on the Coordinate Plane 1444.5: Completing T-Tables 1464.6: Finding the Slope of a Line, Given Two Points on the Line 1484.7: Identifying the Slope and Y-Intercept from an Equation . . 1504.8: Using Equations to Find the Slopes of Lines 1524.9: Identifying Parallel and Perpendicular Lines, Given an Equation 1544.10: Using the X-Intercept and the Y-Intercept to Graph a Linear Equation 1564.11: Using Slope-Intercept Form to Graph the Equation of a Line 1584.12: Graphing Linear Inequalities in the Coordinate Plane 1604.13: Writing a Linear Equation, Given Two Points 1624.14: Finding the Equation of the Line of Best Fit 1644.15: Using theMidpoint Formula 1664.16: Using the Distance Formula to Find the Distance Between Two Points 1684.17: Graphing Systems of Linear Equations When Lines Intersect 1704.18: Graphing Systems of Linear Equations if Lines Intersect, Are Parallel, or Coincide 172SECTION 5: MONOMIALS AND POLYNOMIALS 1755.1: ApplyingMonomial Vocabulary Accurately 1765.2: Identifying Similar Terms 1785.3: Adding Polynomials 1805.4: Subtracting Polynomials 1825.5: MultiplyingMonomials 1845.6: Using Powers ofMonomials 1865.7: Multiplying a Polynomial by aMonomial 1885.8: Multiplying Two Binomials 1905.9: Multiplying Two Polynomials 1925.10: DividingMonomials 1945.11: Dividing Polynomials 1965.12: Finding the Greatest Common Factor of Two or More Monomials 1985.13: Factoring Polynomials by Finding the Greatest Monomial Factor 2005.14: Factoring the Difference of Squares 2025.15: Factoring Trinomials if the Last TermIs Positive 2045.16: Factoring Trinomials if the Last TermIs Negative 2065.17: Factoring by Grouping 2085.18: Factoring Trinomials if the Leading Coefficient Is an Integer Greater Than 1 2105.19: Factoring the Sums and Differences of Cubes 2125.20: Solving Quadratic Equations by Factoring 2145.21: Solving Quadratic Equations by Finding Square Roots 2165.22: Solving Quadratic Equations Using the Quadratic Formula 2185.23: Using the Discriminant 220SECTION 6: RATIONAL EXPRESSIONS 2236.1: Using Zero and Negative Numbers as Exponents 2246.2: Using the Properties of Exponents That Apply to Division 2266.3: Using the Properties of Exponents That Apply to Multiplication and Division 2286.4: Identifying Restrictions on the Variable 2306.5: Simplifying Algebraic Fractions 2326.6: Adding and Subtracting Algebraic Fractions with Like Denominators 2346.7: Finding the Least CommonMultiple of Polynomials 2366.8: Writing Equivalent Algebraic Fractions 2386.9: Adding and Subtracting Algebraic Fractions with Unlike Denominators 2406.10: Multiplying and Dividing Algebraic Fractions 2426.11: Solving Proportions 2446.12: Solving Equations That Have Fractional Coefficients 2466.13: Solving Fractional Equations 248SECTION 7: IRRATIONAL AND COMPLEX NUMBERS 2517.1: Simplifying Radicals 2527.2: Multiplying Radicals 2547.3: Rationalizing the Denominator 2567.4: Dividing Radicals 2587.5: Adding and Subtracting Radicals 2607.6: Multiplying Two Binomials Containing Radicals 2627.7: Using Conjugates to Simplify Radical Expressions 2647.8: Simplifying Square Roots of Negative Numbers 2667.9: Multiplying Imaginary Numbers 2687.10: Simplifying ComplexNumbers 270SECTION 8: FUNCTIONS 2738.1: Determining if a Relation Is a Function 2748.2: Finding the Domain of a Function 2768.3: Finding the Range of a Function 2788.4: Using the Vertical Line Test 2808.5: Describing Reflections of the Graph of a Function 2828.6: Describing Vertical Shifts of the Graph of a Function 2848.7: Describing Horizontal and Vertical Shifts of the Graph of a Function 2868.8: Describing Dilations of the Graph of a Function 2888.9: Finding the Composite of Two Functions 2908.10: Finding the Inverse of a Function 2928.11: Evaluating the Greatest Integer Function 2948.12: Identifying Direct and Indirect Variation 2968.13: Describing the Graph of the Quadratic Function 2988.14: Using Rational Numbers as Exponents 3008.15: Using Irrational Numbers as Exponents 3028.16: Solving Exponential Equations 3048.17: Using the Compound Interest Formula 3068.18: Solving Radical Equations 3088.19: Writing Logarithmic Equations as Exponential Equations 3108.20: Solving Logarithmic Equations 3128.21: Using the Properties of Logarithms 314Common Core State Standards for Mathematics 316