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E-raamat: Math Starters: 5- to 10-Minute Activities Aligned with the Common Core Math Standards, Grades 6-12

3.50/5 (10 hinnangut Goodreads-ist)
(Applegarth Middle School, Monroe, NJ), (The College of New Jersey (formerly Trenton State College), Ewing Township, NJ), (Rutgers University, New Brunswick, NJ)
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 22-Aug-2013
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781118690741
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Math Starters: 5- to 10-Minute Activities Aligned with the Common Core Math Standards, Grades 6-12Suurem pilt
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 22-Aug-2013
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781118690741
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"A revised edition of the bestselling activities guide for math teachersNow updated with new math activities for computers and mobile devices--and now organized by the Common Core State Standards--this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time. A newly updated edition of a bestselling title Ideal for math teachers in grades six through twelve Includes more than 650 ready-to-use starter problems"--

A revised edition of the bestselling activities guide for math teachers

Now updated with new math activities for computers and mobile devices—and now organized by the Common Core State Standards—this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time.

  • A newly updated edition of a bestselling title
  • Ideal for math teachers in grades six through twelve
  • Includes more than 650 ready-to-use starter problems
About the Authors xxv
Acknowledgments xxvii
About This Book xxix
Standards and Problems Chart xxxi
PART 1 MAKING MATH STARTERS PART OF YOUR PROGRAM
1(16)
The Value of Math Starters
3(1)
Starting Class with a Math Starter
3(1)
Purpose and Value of a Math-Starter Notebook
4(3)
The Value of Written Explanations
7(1)
Cooperative Problem Solving Using Math Starters
7(1)
Organizing Groups for Problem Solving
7(4)
The Value of Sharing and Discussion
11(1)
Using Problem-Solving Strategies
11(3)
Evaluation
14(1)
Checklists
14(1)
Point Systems
14(1)
Quizzes That Include Math Starters
15(1)
Review of Math-Starter Notebooks
15(1)
Student Participation
15(1)
Portfolios
15(1)
A Final Word
15(2)
PART 2 MATH STARTERS
17(346)
Section 1 Whole Numbers and Integers: Theory and Operations
19(32)
1-1 Natural Numbers *
19(1)
1-2 Natural Numbers **
19(1)
1-3 Whole Numbers *
20(1)
1-4 Whole Numbers * G
20(1)
1-5 Place Value with Whole Numbers *
20(1)
1-6 Place Value with Whole Numbers **
21(1)
1-7 Numerical Operations *
21(1)
1-8 Numerical Operations * G
21(1)
1-9 Adding Whole Numbers *
22(1)
1-10 Subtracting Whole Numbers *
22(1)
1-11 Subtracting Whole Numbers **
22(1)
1-12 Multiplying Whole Numbers *
23(1)
1-13 Multiplying Whole Numbers **
23(1)
1-14 Dividing Whole Numbers * (6.NS.2)
23(1)
1-15 Dividing Whole Numbers * (6.NS.2)
24(1)
1-16 Dividing Whole Numbers ** (6.NS.2)
24(1)
1-17 Whole Numbers-Multistep Problem ** (7.EE.3)
24(1)
1-18 Whole Numbers-Multistep Problem ** G (7.EE.3)
25(1)
1-19 Estimation with Compatible Numbers * (7.EE.3)
25(1)
1-20 Rounding Whole Numbers *
25(1)
1-21 Divisibility by 2, 4, and 8 *
26(1)
1-22 Divisibility by 3, 6, 9, and 12 *
26(1)
1-23 Divisibility by 5 and 10 *
27(1)
1-24 Factors *
27(1)
1-25 Factors **
27(1)
1-26 Greatest Common Factor * (6.NS.4)
28(1)
1-27 Greatest Common Factor ** (6.NS.4)
28(1)
1-28 Multiples *
28(1)
1-29 Multiples **
29(1)
1-30 Least Common Multiple * (6.NS.4)
29(1)
1-31 Least Common Multiple ** (6.NS.4)
30(1)
1-32 Multiples and the Distributive Property ** (6.NS.4)
30(1)
1-33 Prime Numbers *
31(1)
1-34 Prime Numbers *
31(1)
1-35 Composite Numbers *
31(1)
1-36 Prime and Composite Numbers **
32(1)
1-37 Perfect Squares *
32(1)
1-38 Perfect Squares and Prime Numbers **
32(1)
1-39 Order of Operations *
33(1)
1-40 Order of Operations ** G
33(1)
1-41 Powers of Numbers * (6.EE.1)
33(1)
1-42 Simplifying Expressions with Exponents * (6.EE.1)
34(1)
1-43 Simplifying Expressions with Exponents ** (6.EE.1)
34(1)
1-44 Simplifying Expressions with Exponents ** (6.EE.1)
34(1)
1-45 Writing Numerical Expressions **
35(1)
1-46 Identifying Parts of a Numerical Expression **
35(1)
1-47 Integers * (6.NS.5)
36(1)
1-48 Integers ** (6.NS.5)
36(1)
1-49 Opposites * (6.NS.5)
36(1)
1-50 The Number Line * (6.NS.6)
37(1)
1-51 The Number Line ** (6.NS.6)
37(1)
1-52 Absolute Value * (6.NS.7)
37(1)
1-53 Absolute Value ** G (6.NS.7)
38(1)
1-54 Comparing Integers *
38(1)
1-55 Inequality Symbols *
38(1)
1-56 Ordering Integers on a Number Line * (6.NS.7)
39(1)
1-57 Understanding Statements of Order ** (6.NS.7)
39(1)
1-58 The Coordinate Plane ** (6.NS.6)
40(1)
1-59 Graphing Points in the Coordinate Plane * (6.NS.6)
41(1)
1-60 Solving Problems by Graphing Points in the Coordinate Plane ** (6.NS.8)
41(1)
1-61 Adding Integers * (7.NS.1)
41(1)
1-62 Adding Integers ** (7.NS.1)
42(1)
1-63 Subtracting Integers * (7.NS.1)
42(1)
1-64 Subtracting Integers ** (7.NS.1)
42(1)
1-65 Adding and Subtracting Integers ** (7.NS.1)
43(1)
1-66 Representing Addition and Subtraction on a Number Line ** (7.NS.1)
43(1)
1-67 Multiplying Two Integers * (7.NS.2)
44(1)
1-68 Multiplying More Than Two Integers ** (7.NS.2)
44(1)
1-69 Multiplying More Than Two Integers ** (7.NS.2)
45(1)
1-70 Dividing Two Integers * (7.NS.2)
45(1)
1-71 Dividing Two Integers ** (7.NS.2)
46(1)
1-72 Multiplying and Dividing Integers ** (7.NS.2)
46(1)
1-73 Four Operations with Integers ** (7.NS.3)
46(1)
1-74 Four Operations with Integers ** (7.NS.3)
47(1)
1-75 Four Operations with Integers *** (7.NS.3)
47(1)
1-76 Using Positive Exponents with Integers *
48(1)
1-77 Using Scientific Notation to Express Large Numbers ** (8.EE.3)
48(1)
1-78 Computing with Numbers Written in Scientific Notation ** (8.EE.3)
49(1)
1-79 Changing Numbers in Scientific Notation to Standard Form ** (8.EE.4)
50(1)
1-80 A Quotation Applicable to Mathematics *
50(1)
Section 2 Rational Numbers: Fractions, Decimals, and Percents
51(50)
2-1 Equivalent Fractions *
51(1)
2-2 Simplifying Fractions *
51(1)
2-3 Simplifying Fractions **
52(1)
2-4 Writing Improper Fractions as Mixed Numbers *
52(1)
2-5 Writing Mixed Numbers as Improper Fractions *
53(1)
2-6 Comparing Fractions **
53(1)
2-7 Ordering Fractions **
54(1)
2-8 Adding Fractions *
54(1)
2-9 Adding Fractions *
54(1)
2-10 Adding Mixed Numbers *
55(1)
2-11 Adding Mixed Numbers **
55(1)
2-12 Subtracting Fractions *
55(1)
2-13 Subtracting Fractions **
56(1)
2-14 Subtracting Mixed Numbers *
56(1)
2-15 Subtracting Mixed Numbers **
56(1)
2-16 Subtracting Mixed Numbers **
57(1)
2-17 Multiplying Fractions *
57(1)
2-18 Multiplying Fractions **
57(1)
2-19 Multiplying Fractions and Mixed Numbers *
58(1)
2-20 Multiplying Mixed Numbers *
58(1)
2-21 Estimating and Multiplying Mixed Numbers **
58(1)
2-22 Dividing Fractions * (6.NS.1)
59(1)
2-23 Dividing Fractions * (6.NS.1)
59(1)
2-24 Dividing Fractions ** G (6.NS.1)
59(1)
2-25 Dividing Fractions and Mixed Numbers * (6.NS.1)
60(1)
2-26 Dividing Mixed Numbers * (6.NS.1)
60(1)
2-27 Dividing Mixed Numbers ** (6.NS.1)
60(1)
2-28 Fractions-Multistep Problem ** (7.EE.3)
61(1)
2-29 Fractions-Multistep Problem ** (7.EE.3)
61(1)
2-30 Decimals *
61(1)
2-31 Ordering Decimals *
62(1)
2-32 Ordering Decimals *
62(1)
2-33 Place Value with Decimals **
62(1)
2-34 Writing Fractions as Decimals *
63(1)
2-35 Writing Decimals as Fractions *
63(1)
2-36 Writing Decimals as Fractions **
64(1)
2-37 Repeating Decimals * (7.NS.2)
64(1)
2-38 Repeating Decimals ** (7.NS.2)
65(1)
2-39 Comparing Fractions and Decimals ** (7.EE.3)
65(1)
2-40 Estimating with Decimals * (7.EE.3)
65(1)
2-41 Rounding Decimals *
66(1)
2-42 Rounding Decimals and Unit Pricing * (6.RP.2)
66(1)
2-43 Adding Decimals * (6.NS.3)
66(1)
2-44 Adding Decimals * (6.NS.3)
67(1)
2-45 Subtracting Decimals * (6.NS.3)
67(1)
2-46 Subtracting Decimals * (6.NS.3)
68(1)
2-47 Multiplying Decimals * (6.NS.3)
68(1)
2-48 Multiplying Decimals * (6.NS.3)
69(1)
2-49 Dividing a Decimal by a Whole Number * (6.NS.3)
69(1)
2-50 Dividing Decimals ** (6.NS.3)
69(1)
2-51 Dividing Decimals ** (6.NS.3)
70(1)
2-52 Decimals-Multistep Problem ** (6.NS.3)
70(1)
2-53 Decimals-Multistep Problem *** (6.RP.3)
71(1)
2-54 Decimals-Multistep Problem ** (7.EE.3)
71(1)
2-55 Decimals-Multistep Problem ** (7.EE.3)
71(1)
2-56 Decimals-Multistep Problem ** (7.EE.3)
72(1)
2-57 Decimals-Multistep Problem ** (7.EE.3)
72(1)
2-58 Decimals-Multistep Problem ** (7.EE.3)
72(1)
2-59 Order of Operations-Decimals * (6.NS.3)
73(1)
2-60 Order of Operations-Decimals ** (6.NS.3)
73(1)
2-61 Order of Operations-Decimals *** (6.NS.3)
73(1)
2-62 Ratio * (6.RP.1)
74(1)
2-63 Ratio ** (6.RP.1)
74(1)
2-64 Ratio Reasoning ** (6.RP.3)
75(1)
2-65 Proportional Relationships * (7.RP.2)
75(1)
2-66 Proportional Relationships ** (7.RP.2)
75(1)
2-67 Proportional Relationships and Scale *** (7.RP.1)
76(1)
2-68 Ratio and Rate Reasoning ** (6.RP.3)
76(1)
2-69 Equivalent Ratios and the Coordinate Plane * (6.RP.3)
77(1)
2-70 Percents *
77(1)
2-71 Percents **
78(1)
2-72 Equivalencies-Fractions, Decimals, and Percents *
78(1)
2-73 Equivalencies-Fractions, Decimals, and Percents *
79(1)
2-74 Equivalencies-Fractions, Decimals, and Percents **
80(1)
2-75 Equivalencies-Repeating Decimals *** (7.NS.2)
80(1)
2-76 Finding the Percent of a Number * (6.RP.3)
81(1)
2-77 Finding the Percent of a Number * (6.RP.3)
81(1)
2-78 Finding the Percent of a Number ** (6.RP.3)
81(1)
2-79 Finding the Percent of a Number ** (6.RP.3)
82(1)
2-80 Using Proportional Relationships to Find the Percent of a Number * (7.RP.2)
82(1)
2-81 Finding a Number When a Percent of It Is Known ** (6.RP.3)
82(1)
2-82 Using Proportional Relationships to Find a Number When a Percent of It Is Known ** (7.RP.2)
83(1)
2-83 Finding What Percent a Number Is of Another Number *
83(1)
2-84 Using Proportional Relationships to Find What Percent a Number Is of Another Number ** (7.RP.2)
84(1)
2-85 The Three Types of Percentage Problems **
85(1)
2-86 Percents and Sales Tax-Multistep Problem * (7.EE.2)
85(1)
2-87 Percents and Discounts **
86(1)
2-88 Percents and Discounts-Multistep Problem ** (7.RP.3)
86(1)
2-89 Percents and Sales Price-Multistep Problem ** (7.RP.3)
86(1)
2-90 Percents and Tips-Multistep Problem *** (7.RP.3)
87(1)
2-91 Percent of Increase ** (7.RP.3)
87(1)
2-92 Percent of Decrease ** (7.RP.3)
87(1)
2-93 Adding Positive and Negative Fractions ** (7.NS.1)
88(1)
2-94 Adding Positive and Negative Fractions *** (7.NS.1)
88(1)
2-95 Subtracting Positive and Negative Fractions ** (7.NS.1)
89(1)
2-96 Subtracting Positive and Negative Fractions ** (7.NS.1)
89(1)
2-97 Multiplying Positive and Negative Fractions * (7.NS.2)
89(1)
2-98 Multiplying Positive and Negative Fractions ** G (7.NS.2)
90(1)
2-99 Dividing Positive and Negative Fractions ** (7.NS.2)
90(1)
2-100 Dividing Positive and Negative Fractions ** G (7.NS.2)
90(1)
2-101 Four Operations with Positive and Negative Fractions *** (7.NS.3)
91(1)
2-102 Simplifying Complex Fractions ** (7.NS.3)
91(1)
2-103 Simplifying Complex Fractions *** (7.NS.3)
92(1)
2-104 Adding Positive and Negative Decimals * (7.NS.1)
92(1)
2-105 Subtracting Positive and Negative Decimals * (7.NS.1)
93(1)
2-106 Multiplying Positive and Negative Decimals * (7.NS.2)
93(1)
2-107 Dividing Positive and Negative Decimals * (7.NS.2)
93(1)
2-108 Four Operations with Positive and Negative Decimals ** G (7.NS.3)
94(1)
2-109 Classifying Numbers as Rational or Irrational ** (8.NS.1)
94(1)
2-110 Changing Repeating Decimals to Rational Numbers ** G (8.NS.1)
94(1)
2-111 Changing Repeating Decimals to Rational Numbers *** (8.NS.1)
95(1)
2-112 Rational Approximations of Irrational Numbers ** (8.NS.2)
95(1)
2-113 Integer Exponents * (8.EE.1)
96(1)
2-114 Integer Exponents ** (8.EE.1)
96(1)
2-115 Square and Cube Roots ** (8.EE.2)
97(1)
2-116 Using Scientific Notation to Express Small Numbers ** (8.EE.3)
97(1)
2-117 Using Scientific Notation to Express Large and Small Numbers ** (8.EE.3)
98(1)
2-118 Performing Operations with Numbers Expressed in Scientific Notation ** (8.EE.4)
98(1)
2-119 Expressing Large and Small Numbers in Standard Form **
99(1)
2-120 A Quotation about Mathematics **
99(2)
Section 3 Algebra and Beyond
101(62)
3-1 Simplifying Numerical Expressions with Exponents * (6.EE.1)
101(1)
3-2 Simplifying Numerical Expressions with Exponents ** (6.EE.1)
101(1)
3-3 Simplifying Numerical Expressions with Exponents *** (6.EE.1)
102(1)
3-4 Words and Phrases as Mathematical Expressions * G (6.EE.2)
102(1)
3-5 Writing Phrases as Algebraic Expressions * (6.EE.2)
102(1)
3-6 Evaluating Expressions without Exponents * (6.EE.2)
103(1)
3-7 Evaluating Expressions with Exponents * (6.EE.2)
103(1)
3-8 Evaluating Expressions with Exponents ** (6.EE.2)
104(1)
3-9 Generating Equivalent Expressions * (6.EE.3)
104(1)
3-10 Generating Equivalent Expressions ** (6.EE.3)
105(1)
3-11 Identifying Equivalent Expressions * (6.EE.4)
105(1)
3-12 Identifying Equivalent Expressions ** (6.EE.4)
105(1)
3-13 Identifying the Solution of an Equation * (6.EE.5)
106(1)
3-14 Identifying the Solutions of an Inequality * (6.EE.5)
106(1)
3-15 Variables * (6.EE.6)
106(1)
3-16 Using Variables to Represent Numbers * (6.EE.6)
107(1)
3-17 Solving One-Step Equations-Addition * (6.EE.7)
107(1)
3-18 Solving One-Step Equations-Subtraction * (6.EE.7)
108(1)
3-19 Solving One-Step Equations-Addition and Subtraction ** (6.EE.7)
108(1)
3-20 Solving One-Step Equations-Multiplication * (6.EE.7)
109(1)
3-21 Solving One-Step Equations-Division * (6.EE.7)
109(1)
3-22 Solving One-Step Equations-Multiplication and Division ** (6.EE.7)
109(1)
3-23 Writing Inequalities * (6.EE.8)
110(1)
3-24 Solving Inequalities ** (7.EE.4)
110(1)
3-25 Representing Relationships between Dependent and Independent Variables ** G (6.EE.9)
111(1)
3-26 Generating Equivalent Expressions ** (7.EE.1)
111(1)
3-27 Rewriting Expressions in Different Forms ** (7.EE.2)
112(1)
3-28 Solving Two-Step Equations ** (7.EE.3)
112(1)
3-29 Solving Two-Step Equations ** G (7.EE.4)
112(1)
3-30 Solving Two-Step Equations ** (7.EE.4)
113(1)
3-31 Square Roots, Cube Roots, and Equations ** (8.EE.2)
113(1)
3-32 Interpreting the Unit Rate ** G (8.EE.5)
114(1)
3-33 Using Similar Triangles to Explain Slope *** (8.EE.6)
114(1)
3-34 Finding the Slope of a Line **
115(1)
3-35 Slopes of Horizontal and Vertical Lines *
115(1)
3-36 Application of Finding the Slope **
116(1)
3-37 Identifying Like Terms *
116(1)
3-38 Simplifying Expressions *
117(1)
3-39 Simplifying Expressions **
117(1)
3-40 Simplifying and Evaluating Expressions *
118(1)
3-41 Solving Equations involving Several Steps with Variables on the Same Side * (8.EE.7)
118(1)
3-42 Solving Equations involving Several Steps with Variables on the Same Side ** (8.EE.7)
119(1)
3-43 Solving Equations involving Several Steps with Variables on Both Sides ** (8.EE.7)
119(1)
3-44 Solving Equations involving Several Steps with Variables on Both Sides ** (8.EE.7)
119(1)
3-45 Points of Intersection of Linear Equations * (8.EE.8)
120(1)
3-46 Estimating Solutions to Systems of Linear Equations by Graphing ** (8.EE.8)
120(1)
3-47 Using the Graphing Method to Solve Systems of Linear Equations * (8.EE.8)
120(1)
3-48 Using the Substitution Method to Solve Systems of Linear Equations ** (8.EE.8)
121(1)
3-49 Using the Addition-or-Subtraction Method to Solve Systems of Linear Equations ** (8.EE.8)
122(1)
3-50 Using Multiplication with the Addition-or-Subtraction Method to Solve Systems of Linear Equations ** (8.EE.8)
123(1)
3-51 Choosing Methods and Solving Systems of Linear Equations ** (A-REI.6)
123(1)
3-52 Multiplying Monomials *
124(1)
3-53 Multiplying Monomials ** G
124(1)
3-54 Powers of Monomials **
125(1)
3-55 Powers of Monomials **
125(1)
3-56 Rewriting Monomials ** (A-SSE.2)
125(1)
3-57 Dividing Monomials *
126(1)
3-58 Dividing Monomials *
126(1)
3-59 Dividing Monomials **
126(1)
3-60 Interpreting Algebraic Expressions * (A-SSE.1)
127(1)
3-61 Finding the Greatest Common Factor (GCF) of Monomials *
127(1)
3-62 Polynomials * G (A-APR.1)
128(1)
3-63 Adding and Subtracting Polynomials * (A-APR.1)
128(1)
3-64 Multiplying a Monomial by a Binomial * (A-APR.1)
128(1)
3-65 Dividing a Polynomial by a Monomial * (A-APR.1)
129(1)
3-66 Multiplying Binomials * (A-APR.1)
129(1)
3-67 Multiplying Binomials * (A-APR.1)
130(1)
3-68 Cubes of Binomials ** (A-APR.4)
130(1)
3-69 Rewriting Differences of Squares ** (A-SSE.2)
131(1)
3-70 Factoring Squares of Binomials ** (A-SSE.3)
131(1)
3-71 Factoring Trinomials of the Form x2 + bx + c Where c > 0 ** (A-SSE.3)
132(1)
3-72 Factoring Trinomials of the Form x2 + bx + c Where c < 0 ** (A-SSE.3)
132(1)
3-73 Factoring Polynomials of the Form ax2 + bx + c Where a Is an Integer > 1 ***
133(1)
3-74 Factoring by Grouping *** (A-SSE.3)
133(1)
3-75 Sums and Differences of Cubes ***
134(1)
3-76 Completing the Square ** (A-SSE.3)
134(1)
3-77 Arithmetic and Geometric Sequences *
135(1)
3-78 Finding the Partial Sums of Infinite Series **
135(1)
3-79 Deriving the Formula for Finding the Sums of a Geometric Series *** G (A-SSE.4)
136(1)
3-80 Using the Remainder Theorem and the Factor Theorem ** (A-APR.2)
137(1)
3-81 Identifying Zeros of Polynomials * (A-APR.3)
137(1)
3-82 Using Zeros to Sketch Graphs of Functions Defined by Polynomials ** (A-APR.3)
137(1)
3-83 Generating Pythagorean Triples ** (A-APR.4)
138(1)
3-84 Pascal's Triangle and the Binomial Theorem *** G (A-APR.5)
138(1)
3-85 Rewriting Rational Expressions * (A-APR.6)
139(1)
3-86 Rewriting Rational Expressions ** (A-APR.6)
139(1)
3-87 Rewriting Rational Expressions *** (A-APR.6)
139(1)
3-88 Simplifying Rational Expressions * (A-APR.6)
140(1)
3-89 Multiplying and Dividing Rational Expressions ** (A-APR.7)
140(1)
3-90 Multiplying and Dividing Rational Expressions ** (A-APR.7)
141(1)
3-91 Adding and Subtracting Rational Expressions with the Same Denominator ** (A-APR.7)
141(1)
3-92 Finding the Least Common Denominator of Rational Expressions ** (A-APR.7)
142(1)
3-93 Adding and Subtracting Rational Expressions with Different Denominators *** (A-APR.7)
142(1)
3-94 Adding, Subtracting, Multiplying, and Dividing Rational Expressions *** G (A-APR.7)
143(1)
3-95 Explaining the Steps in Solving an Equation * (A-REI.1)
143(1)
3-96 Explaining the Steps in Solving an Equation ** (A-REI.1)
144(1)
3-97 Solving Rational Equations ** (A-REI.2)
144(1)
3-98 Solving Rational Equations-Extraneous Solutions *** (A-REI.2)
145(1)
3-99 Expressing Square Roots in Radical Form ** (A-REI.2)
145(1)
3-100 Finding Square Roots *
146(1)
3-101 Expressing Radical Expressions in Simplest Form ** (A-REI.2)
146(1)
3-102 Adding and Subtracting Radicals ** (A-REI.2)
147(1)
3-103 Multiplying Binomials Containing Radicals *** (A-REI.2)
147(1)
3-104 Rationalizing the Denominator That Contains Radicals *** (A-REI.2)
148(1)
3-105 Solving Radical Equations ** (A-REI.2)
148(1)
3-106 Solving Simple Radical Equations-Extraneous Solutions ** (A-REI.2)
149(1)
3-107 Transforming Equations ** G (A-CED.4)
149(1)
3-108 Solving Linear Equations in One Variable-Coefficients Are Letters ** (A-REI.3)
149(1)
3-109 Solving Two-Step Inequalities ** (A-REI.3)
150(1)
3-110 Using Squares of Binomials and Perfect Squares ** (A-REI.4)
150(1)
3-111 Using the ± Symbol **
151(1)
3-112 Solving Quadratic Equations by Completing the Square *** (A-REI.4)
151(1)
3-113 Deriving the Quadratic Formula *** (A-REI.4)
152(1)
3-114 Transforming Equations into the Form ax2 + bx + c = 0, a ≠ 0 ** (A-CED.4)
152(1)
3-115 Solving Quadratic Equations Using the Quadratic Formula If b2 - 4ac ≥ 0 ** (A-REI.4)
153(1)
3-116 Using the Zero-Product Property * (A-REI.4)
153(1)
3-117 Solving Quadratic Equations by Factoring ** (A-REI.4)
154(1)
3-118 Solving Quadratic Equations of the Form ax2 = c, a ≠ 0 ** (A-REI.4)
155(1)
3-119 Sums and Products of Roots ** (A-REI.4)
155(1)
3-120 Using the Discriminate *** G (A-REI.4)
156(1)
3-121 Producing Systems of Equations with the Same Solution * (A-REI.5)
156(1)
3-122 Solving a System Consisting of a Linear Equation and a Quadratic Equation *** (A-REI.7)
157(1)
3-123 Representing a System of Linear Equations as a Matrix Equation * (A-REI.8)
157(1)
3-124 Using the Inverse of a Matrix to Solve a Matrix Equation ** (A-REI.9)
158(1)
3-125 Using the Inverse of a 3 x 3 Matrix to Solve a Matrix Equation ** (A-REI.9)
158(1)
3-126 Graphs and Solutions of Equations * (A-REI.10)
159(1)
3-127 Finding the Point Where Two Graphs Intersect ** (A-REI.11)
159(1)
3-128 Graphing Solutions to a System of Linear Inequalities *** (A-REI.12)
160(1)
3-129 Writing and Solving Equations and Inequalities ** (A-CED.1)
160(1)
3-130 Creating and Graphing Equations ** G (A-CED.2)
161(1)
3-131 Interpreting Solutions as Viable Options ** (A-CED.3)
161(1)
3-132 A Quotation about Algebra **
161(2)
Section 4 Functions
163(22)
4-1 Domain and Range * (8.F.1)
163(1)
4-2 Describing Graphs of Linear Functions ** (8.F.1)
163(1)
4-3 Finding and Comparing Rates of Change ** (8.F.2)
164(1)
4-4 Identifying Linear Functions * (8.F.3)
164(1)
4-5 Identifying Linear Functions ** (8.F.3)
165(1)
4-6 Interpreting the Initial Value of a Function * (8.F.4)
165(1)
4-7 Functions and Graphs ** (8.F.5)
166(1)
4-8 Increasing and Decreasing Functions ** G (8.F.5)
167(1)
4-9 Understanding the Concept of a Function ** (F-IF.1)
167(1)
4-10 Evaluating Functions * (F-IF.2)
168(1)
4-11 Using Sequences Defined Recursively ** (F-IF.3)
168(1)
4-12 Identifying Key Features of a Graph ** (F-IF.4)
168(1)
4-13 Relating the Domain to the Relationships It Describes ** (F-IF.5)
169(1)
4-14 Finding the Average Rate of Change ** (F-IF.6)
169(1)
4-15 Graphs of Functions ** (F-IF.7)
170(1)
4-16 Step Graphs ** G (F-IF.7)
171(1)
4-17 Using Factoring and Completing the Square in Quadratic Functions ** (F-IF.8)
172(1)
4-18 Classifying Functions as Exponential Growth or Exponential Decay *** (F-IF.8)
172(1)
4-19 Comparing Properties of Functions ** (F-IF.9)
173(1)
4-20 Writing Functions * (F-BF.1)
173(1)
4-21 Writing Sequences *** (F-BF.2)
174(1)
4-22 Translations and Dilations of Graphs ** (F-BF.3)
174(1)
4-23 Odd and Even Functions ** (F-BF.3)
175(1)
4-24 Finding the Inverse of a Function ** (F-BF.4)
175(1)
4-25 Determining If Two Functions Are Inverses ** (F-BF.4)
176(1)
4-26 Using Exponential and Logarithmic Functions ** (F-BF.5)
176(1)
4-27 Linear and Exponential Models * (F-LE.1)
177(1)
4-28 Constructing Linear and Exponential Functions *** (F-LE.2)
177(1)
4-29 Comparing Exponential, Linear, and Polynomial Functions *** (F-LE.3)
178(1)
4-30 Solving Exponential Equations * (F-LE.4)
178(1)
4-31 Interpreting Parameters in the Compound Interest Formula ** (F-LE.5)
179(1)
4-32 Understanding Radian Measures * (F-TF.1)
179(1)
4-33 Extending Trigonometric Functions to All Real Numbers ** (F-TF.2)
180(1)
4-34 Using Special Right Triangles * (F-TF.3)
181(1)
4-35 Using the Unit Circle to Explain the Symmetry and Periodicity of the Trigonometric Functions *** (F-TF.4)
182(1)
4-36 Choosing Trigonometric Functions to Model Periodic Phenomena *** (F-TF.5)
182(1)
4-37 Restricting the Domain of a Trigonometric Function to Find Its Inverse *** G (F-TF.6)
183(1)
4-38 Using Inverse Trigonometric Functions ** (F-TF.7)
183(1)
4-39 Proving a Pythagorean Identity ** (F-TF.8)
183(1)
4-40 Proving the Addition Formula for the Sine Function *** (F-TF.9)
184(1)
4-41 A Quotation Applicable to Functions *
184(1)
Section 5 Geometry
185(96)
5-1 Naming Lines, Rays, and Segments *
185(1)
5-2 Intersection of Lines, Segments, and Rays *
186(1)
5-3 Unions of Lines, Segments, and Rays **
187(1)
5-4 Naming Angles *
188(1)
5-5 Types of Angles *
189(1)
5-6 Complementary and Supplementary Angles *
190(1)
5-7 Pairs of Angles-Adjacent, Vertical, Complementary, and Supplementary Angles *
191(1)
5-8 Angles Formed by a Transversal **
192(1)
5-9 Parallel Lines and Transversals *** (8.G.5)
193(1)
5-10 Perpendicular Lines and Unknown Angle Measurements ** (7.G.5)
194(1)
5-11 Identifying and Sketching Common Polygons *
195(1)
5-12 Drawing Polygons in the Coordinate Plane ** (6.G.3)
195(1)
5-13 Diagonals of Polygons *
196(1)
5-14 Sum of the Angles of a Polygon *
197(1)
5-15 The Measure of Each Interior Angle of a Regular Polygon **
197(1)
5-16 The Measure of Each Exterior Angle of a Regular Polygon **
198(1)
5-17 The Sum of the Measures of Each Exterior Angle of a Polygon **
199(1)
5-18 Classifying Triangles by the Lengths of Their Sides *
200(1)
5-19 Classifying Triangles by the Measures of Their Angles *
201(1)
5-20 Included Sides and Angles of a Triangle **
202(1)
5-21 Opposite Sides and Angles of a Triangle *
203(1)
5-22 Finding the Measures of the Angles in a Triangle ** G
204(1)
5-23 Using the Triangle Inequality Theorem **
205(1)
5-24 Drawing Triangles with Given Conditions ** G (7.G.2)
206(1)
5-25 Using the Pythagorean Theorem to Find the Length of the Hypotenuse * (8.G.7)
207(1)
5-26 Explaining a Proof of the Pythagorean Theorem ** (8.G.6)
207(1)
5-27 Using the Pythagorean Theorem to Find the Length of a Leg ** (8.G.7)
208(1)
5-28 Applying the Pythagorean Theorem to Find the Distance between Two Points ** (8.G.8)
209(1)
5-29 Testing for Acute and Obtuse Triangles **
210(1)
5-30 Finding the Length of the Hypotenuse in a 45°-45°-90° Triangle **
210(1)
5-31 Finding the Length of a Leg in a 45°-45°-90° Triangle **
211(1)
5-32 Finding the Length of the Hypotenuse in a 30°-60°-90° Triangle **
211(1)
5-33 Finding the Lengths of the Legs in a 30°-60°-90° Triangle **
212(1)
5-34 Finding the Missing Lengths of the Sides of a 45°-45°-90° and a 30°-60°-90° Triangle ***
213(1)
5-35 Properties of Rotations, Reflections, and Translations * (8.G.1)
214(1)
5-36 Translations, Rotations, and Reflections * (8.G.2)
214(1)
5-37 Identifying Congruent Triangles * (8.G.2)
215(1)
5-38 Translations, Rotations, and Reflections of a Right Triangle ** (8.G.2)
216(1)
5-39 Using Undefined Terms * (G-CO.1)
217(1)
5-40 Describing Transformations as Functions ** (G-CO.2)
217(1)
5-41 Describing Dilations ** (G-CO.2)
218(1)
5-42 Rotations and Reflections of Regular Polygons ** (G-CO.3)
218(1)
5-43 Defining Rotations, Reflections, and Translations in Terms of Line Segments *** G (G-CO.4)
219(1)
5-44 Specifying a Sequence of Transformations That Will Carry a Given Figure onto Another ** (G-CO.5)
220(1)
5-45 Predicting the Effects of Rigid Motions ** (G-CO.6)
220(1)
5-46 Writing a Statement of Congruence and Identifying Corresponding Parts ** (G-CO.7)
221(1)
5-47 Identifying Corresponding Parts in Overlapping Triangles **
222(1)
5-48 Using SSS, SAS, and ASA to Verify Congruent Triangles **
223(1)
5-49 Explaining the Criteria for Triangle Congruence ** (G-CO.8)
223(1)
5-50 Proving Vertical Angles Are Congruent * (G-CO.9)
224(1)
5-51 Proving the Isosceles Triangle Theorem ** (G-CO.10)
225(1)
5-52 Proving the Diagonals of a Parallelogram Bisect Each Other ** (G-CO.11)
225(1)
5-53 Constructing the Perpendicular Bisector of a Segment ** (G-CO.12)
226(1)
5-54 Constructing a Regular Hexagon Inscribed in a Circle ** (G-CO.13)
226(1)
5-55 Describing the Effects of Dilations, Translations, Rotations, and Reflections ** (8.G.3)
227(1)
5-56 Describing a Sequence That Exhibits Similarity between Two Figures *** (8.G.4)
228(1)
5-57 Verifying the Properties of Dilations ** (G-SRT.1)
229(1)
5-58 Using the Definition of Similarity to Decide If Two Figures Are Similar * (G-SRT.2)
230(1)
5-59 Establishing the AA Criterion for Similar Triangles ** (G-SRT.3)
230(1)
5-60 Using AA, SSS, and SAS to Prove That Triangles Are Similar **
231(1)
5-61 Writing a Similarity Statement and Finding the Scale Factor **
232(1)
5-62 Proving the Triangle Proportionality Theorem *** (G-SRT.4)
233(1)
5-63 Finding the Lengths of the Sides of Similar Triangles *** (G-SRT.5)
234(1)
5-64 Working with Scale Drawings of Geometric Figures ** (7.G.1)
235(1)
5-65 Finding the Area of a Triangle by Using a Rectangle * (6.G.1)
236(1)
5-66 Finding the Area of a Triangle *
237(1)
5-67 Finding the Area of a Triangle ***
238(1)
5-68 Definitions of Trigonometric Ratios for Acute Angles of a Right Triangle * (G-SRT.6)
238(1)
5-69 Using the Sine and Cosine of Complementary Angles * (G-SRT.7)
239(1)
5-70 Using Trigonometric Ratios and the Pythagorean Theorem to Solve Problems *** G (G-SRT.8)
239(1)
5-71 Deriving the Formula A = 1/2ab sin C to Find the Area of a Triangle ** (G-SRT.9)
240(1)
5-72 Proving the Law of Sines ** (G-SRT.10)
241(1)
5-73 Using the Law of Sines ** (G-SRT.11)
242(1)
5-74 Applying the Law of Cosines ** (G-SRT.11)
243(1)
5-75 Identifying Types of Quadrilaterals *
244(1)
5-76 Classifying Quadrilaterals **
245(1)
5-77 Classifying Quadrilaterals in the Coordinate Plane * (G-GPE.4)
245(1)
5-78 Parallelograms and Kites **
246(1)
5-79 Properties of Quadrilaterals **
247(1)
5-80 Properties of Diagonals of Quadrilaterals **
247(1)
5-81 Finding the Equations of Parallel and Perpendicular Lines * (G-GPE.5)
248(1)
5-82 Partitioning Line Segments ** (G-GPE.6)
249(1)
5-83 Finding the Area of a Square *
249(1)
5-84 Area and Perimeter of Squares *** G
250(1)
5-85 Finding the Area of a Rectangle *
250(1)
5-86 Finding the Area of a Rectangle **
250(1)
5-87 Finding the Area of a Rectangle by Using Other Figures ** (6.G.1)
251(1)
5-88 Finding the Area and Perimeter of a Rectangle ** G
251(1)
5-89 Finding the Area of an Irregular Figure ** (7.G.6)
252(1)
5-90 Finding the Area of an Irregular Figure ** G (7.G.6)
252(1)
5-91 Area of a Parallelogram * (7.G.6)
253(1)
5-92 Finding the Area of a Trapezoid * (7.G.6)
253(1)
5-93 Using Coordinates to Compute Perimeters and Areas of Figures *** (G-GPE.7)
254(1)
5-94 Circles * G
254(1)
5-95 Finding the Diameter and Radius of a Circle *
255(1)
5-96 Finding the Circumference of a Circle * (7.G.4)
255(1)
5-97 Diameter and Circumference ** (7.G.4)
256(1)
5-98 Finding the Area of a Circle * (7.G.4)
256(1)
5-99 Finding the Area of a Circle ** (7.G.4)
256(1)
5-100 Comparing the Areas of a Square and a Circle ** (7.G.4)
257(1)
5-101 Proving All Circles Are Similar ** (G-C.1)
257(1)
5-102 Types of Arcs ** G
258(1)
5-103 Central and Inscribed Angles ** (G-C.2)
259(1)
5-104 Arcs and Angles of Circles ** (G-C.2)
260(1)
5-105 Secants and Tangents *
261(1)
5-106 Measures of Angles-Chord-Tangent Angle Theorem and Chord-Chord Angle Theorem *** (G-C.2)
262(1)
5-107 Measures of Angles Formed by Secants and Tangents Drawn from a Point outside the Circle ***
263(1)
5-108 Lengths of Segments-Chords Intersecting in the Interior of a Circle ** (G-C.2)
264(1)
5-109 Length of Segments-Secant and Tangent Segments ***
264(1)
5-110 Proving Opposite Angles of a Quadrilateral Inscribed in a Circle Are Supplementary ** (G-C.3)
265(1)
5-111 Constructing Tangent Lines to a Circle ** (G-C.4)
266(1)
5-112 Arc Lengths **
266(1)
5-113 Area of a Sector ** (G-C.5)
267(1)
5-114 Deriving the Formula for Finding the Area of a Sector ** (G-C.5)
267(1)
5-115 Deriving the Equation of a Circle ** (G-GPE.1)
268(1)
5-116 Deriving the Equation of a Parabola *** (G-GPE.2)
269(1)
5-117 Deriving the Equation of an Ellipse *** (G-GPE.3)
270(1)
5-118 Slicing Three-Dimensional Figures ** (7.G.3)
271(1)
5-119 Identifying Three-Dimensional Objects Generated by Rotations of Two-Dimensional Objects *** G (G-GMD.4)
272(1)
5-120 Using Geometric Shapes to Describe Objects ** G (G-MG.1)
272(1)
5-121 Finding the Volume of a Rectangular Prism ** (6.G.2)
273(1)
5-122 Finding the Volume of a Rectangle Prism *** G (6.G.2)
273(1)
5-123 Using Nets to Find the Surface Area of a Three-Dimensional Figure ** (6.G.4)
274(1)
5-124 Finding the Surface Area of a Rectangular Prism ** (7.G.6)
274(1)
5-125 Finding the Surface Area of a Rectangular Prism *** (7.G.6)
275(1)
5-126 Finding the Volume and Surface Area of Pyramids *** (7.G.6)
275(1)
5-127 Finding the Volume of Cones ** (8.G.9)
276(1)
5-128 Finding the Volume of Spheres *** (8.G.9)
276(1)
5-129 Using Various Volume Formulas ** (G-GMD.3)
277(1)
5-130 Providing an Informal Argument for the Area of a Circle ** (G-GMD.1)
277(1)
5-131 Cavalieri's Principle and the Volume of a Sphere *** (G-GMD.2)
278(1)
5-132 Density in Modeling *** (G-MG.2)
278(1)
5-133 Solving Design Problems ** (G-MG.3)
279(1)
5-134 A Quotation about Geometry **
279(2)
Section 6 Statistics, Probability, and Data Analysis
281(38)
6-1 Statistical and Nonstatistical Questions * G (6.SP.1)
281(1)
6-2 Distribution of Data * (6.SP.2)
281(1)
6-3 Finding the Mean of a Set of Numbers *
282(1)
6-4 Finding the Weighted Mean **
282(1)
6-5 Finding the Mode *
283(1)
6-6 The Median *
283(1)
6-7 Finding the Median and the Mode **
283(1)
6-8 Finding the Mean, Median, and Mode ** (6.SP.3)
284(1)
6-9 Using the Measures of Center and Measure of Variation ** (6.SP.3)
284(1)
6-10 Making a Histogram ** (6.SP.4)
285(1)
6-11 Making a Bar Graph *
285(1)
6-12 Using Stem-and-Leaf Plots **
286(1)
6-13 Completing a Circle Graph *
287(1)
6-14 Summarizing Numerical Data ** (6.SP.5)
288(1)
6-15 Obtaining Information about a Population * (7.SP.1)
289(1)
6-16 Using Data from Random Samples to Draw Inferences about a Population *** (7.SP.2)
289(1)
6-17 Assessing Numerical Data Distributions ** G (7.SP.3)
290(1)
6-18 Drawing Comparative Inferences about Two Populations ** (7.SP.4)
290(1)
6-19 The Probability of Impossible and Certain Events ** G (7.SP.5)
291(1)
6-20 Finding Simple Probability * G
291(1)
6-21 Approximating the Probability of a Chance Event ** (7.SP.6)
292(1)
6-22 Predicting Relative Frequency *** (7.SP.6)
292(1)
6-23 Developing a Probability Model * G (7.SP.7)
292(1)
6-24 Spinners as Probability Models * (7.SP.7)
293(1)
6-25 Representing the Sample Spaces of Compound Events ** (7.SP.8)
293(1)
6-26 Constructing a Scatter Plot ** G (8.SP.1)
294(1)
6-27 Using Scatter Plots ** (8.SP.2)
295(1)
6-28 Positive, Negative, and No Relationship **
296(1)
6-29 Representing the Slope and Y-Intercept * (8.SP.3)
296(1)
6-30 Using Two-Way Tables * (8.SP.4)
297(1)
6-31 Representing Data with a Box-and-Whisker Plot * (S-ID.1)
297(1)
6-32 Comparing the Center and Spread of Two Sets of Data ** (S-ID.2)
298(1)
6-33 Accounting for Outliers * (S-ID.3)
298(1)
6-34 Using the Mean and Standard Deviation of a Data Set * (S-ID.4)
299(1)
6-35 Summarizing Categorical Data * (S-ID.5)
299(1)
6-36 Describing How Variables Are Related ** (S-ID.6)
300(1)
6-37 Interpreting the Slope and Y-Intercept ** (S-ID.7)
300(1)
6-38 Interpreting the Correlation Coefficient of a Linear Fit * (S-ID.8)
301(1)
6-39 Distinguishing between Correlation and Causation * (S-ID.9)
301(1)
6-40 Understanding the Value of Statistics * G (S-IC.1)
301(1)
6-41 Deciding If Results Are Consistent * (S-IC.2)
302(1)
6-42 Recognizing Sample Surveys, Observational Studies, and Experiments ** (S-IC.3)
302(1)
6-43 Using Data from a Sample Survey ** (S-IC.4)
303(1)
6-44 Data and Simulations ** (S-IC.5)
304(1)
6-45 Evaluating Reports Based on Data ** (S-IC.6)
305(1)
6-46 Describing Events as Subsets of a Sample Space * (S-CP.1)
305(1)
6-47 The Probability of Independent Events * (S-CP.2)
306(1)
6-48 The Probability of Independent Events ** G (S-CP.2)
307(1)
6-49 Understanding Conditional Probability ** (S-CP.3)
308(1)
6-50 Interpreting a Two-Way Frequency Table * (S-CP.4)
308(1)
6-51 Conditional Probability ** G (S-CP.5)
309(1)
6-52 Finding Conditional Probability ** (S-CP.6)
309(1)
6-53 Applying the Addition Rules for Finding Probability * (S-CP.7)
310(1)
6-54 Applying the General Multiplication Rule * (S-CP.8)
310(1)
6-55 Using the Factorial Counting Rule *
310(1)
6-56 Using the Permutations Rule ** (S-CP.9)
311(1)
6-57 Using the Combinations Rule ** (S-CP.9)
311(1)
6-58 Defining a Random Variable * (S-MD.1)
312(1)
6-59 Calculating the Expected Value of a Random Variable * (S-MD.2)
313(1)
6-60 Developing a Probability Distribution ** (S-MD.3)
314(1)
6-61 A Probability Distribution Using Empirical Data ** (S-MD.4)
314(1)
6-62 Evaluating a Flood Insurance Plan *** G (S-MD.5)
315(1)
6-63 Using Probabilities to Make Fair Decisions *** G (S-MD.6)
316(1)
6-64 Basing Decisions on Probability *** G (S-MD.7)
317(1)
6-65 A Quotation about Statistics **
317(2)
Section 7 Number and Quantity
319(16)
7-1 Using Rational Exponents * (N-RN.1)
319(1)
7-2 Rewriting Expressions Using Radicals and Rational Exponents ** (N-RN.2)
319(1)
7-3 Explaining Products and Sums * (N-RN.3)
320(1)
7-4 Using Units as a Way to Understand Problems ** (N-Q.1)
320(1)
7-5 Defining Appropriate Quantities ** (N-Q.2)
320(1)
7-6 Levels of Accuracy ** (N-Q.3)
321(1)
7-7 Using Imaginary Numbers *** (N-CN.1)
321(1)
7-8 Using Powers of i ***
322(1)
7-9 Adding, Subtracting, and Multiplying Complex Numbers ** (N-CN.2)
322(1)
7-10 Finding Quotients of Complex Numbers * (N-CN.3)
323(1)
7-11 Using an Argand Diagram * (N-CN.4)
323(1)
7-12 Representing Operations with Complex Numbers in the Complex Plane ** (N-CN.5)
324(1)
7-13 Finding the Distance between Numbers in the Complex Plane ** (N-CN.6)
325(1)
7-14 Solving Quadratic Equations by Using the Quadratic Formula-Complex Solutions ** (N-CN.7)
326(1)
7-15 Extending Polynomial Identities to the Complex Numbers ** (N-CN.8)
326(1)
7-16 The Fundamental Theorem of Algebra *** (N-CN.9)
326(1)
7-17 Vector Quantities * (N-VM.1)
327(1)
7-18 The Components of Vectors * (N-VM.2)
328(1)
7-19 Using Vectors to Find a Plane's Ground Speed and True Course *** (N-VM.3)
328(1)
7-20 Using the Parallelogram Rule * (N-VM.4)
329(1)
7-21 Multiplying a Vector by a Scalar * (N-VM.5)
329(1)
7-22 Using Matrices to Represent Data * (N-VM.6)
329(1)
7-23 Multiplying Matrices by a Scalar * (N-VM.7)
330(1)
7-24 Adding and Subtracting Matrices * (N-VM.8)
330(1)
7-25 Multiplying Matrices ** (N-VM.8)
331(1)
7-26 Proving the Properties of Matrix Multiplication for Square Matrices *** (N-VM.9)
331(1)
7-27 Using the Zero Matrix and the Identity Matrix *** (N-VM.10)
332(1)
7-28 Translations and Vectors *
332(1)
7-29 Using Transformation Matrices: Reflection ** (N-VM.11)
333(1)
7-30 Using Transformation Matrices: Enlargement ** (N-VM.11)
333(1)
7-31 Using the Determinate to Find Area ** (N-VM.12)
334(1)
7-32 A Quotation about the Boundaries of Mathematics
334(1)
Section 8 Potpourri
335(28)
8-1 Emirps *
335(1)
8-2 Deficient Numbers *
335(1)
8-3 Perfect Numbers *
335(1)
8-4 Abundant Numbers *
336(1)
8-5 Deficient, Abundant, and Perfect Numbers ** G
336(1)
8-6 Linear Measurement-The Customary System *
336(1)
8-7 Linear Measurement-The Customary System **
337(1)
8-8 Linear Measurement-The Metric System **
337(1)
8-9 Linear Measurement-The Customary and Metric Systems **
338(1)
8-10 Linear Measurement-Obsolete Units **
338(1)
8-11 Linear Measurement-Obsolete Units **
338(1)
8-12 Measurement-Quotation **
339(1)
8-13 Weight-The Customary System *
339(1)
8-14 Weight-The Metric System **
339(1)
8-15 Weight-Using Balances *
340(1)
8-16 Capacity-The Customary System **
340(1)
8-17 Capacity-The Metric System *
340(1)
8-18 Time and the Calculation of Pi *
341(1)
8-19 Interpreting Time **
341(1)
8-20 Time-A Tricky Problem **
341(1)
8-21 Temperature *
342(1)
8-22 Converting Temperatures-Fahrenheit and Celsius **
342(1)
8-23 Measurement-Light-Years * G
343(1)
8-24 Babylonians and Angles in a Circle *
343(1)
8-25 Platonic Solids and Euler's Formula **
344(1)
8-26 Squares on a Checkerboard ** G
344(1)
8-27 Rectangles on a Checkerboard ** G
345(1)
8-28 Finding the Area of a Rectangular Chicken Coop *
345(1)
8-29 Edward I and the Area of a Rectangle **
345(1)
8-30 Finding the Area of a Triangle Using Hero's Formula ***
346(1)
8-31 An Ancient Palestinian Formula for Finding of a Circle ***
346(1)
8-32 Palindromes *
347(1)
8-33 Palindromes ** G
347(1)
8-34 Using Cryptarithms **
348(1)
8-35 Number Ciphers ** G
348(1)
8-36 Number Ciphers ***
349(1)
8-37 Using Number-Box Ciphers *
349(1)
8-38 Roman Numerals ** G
350(1)
8-39 Symbols (Infinity) **
350(1)
8-40 Figural Analogies **
351(1)
8-41 Fractals *
352(1)
8-42 Fractals-Using the Sierpinski Triangle **
353(1)
8-43 Figurate Numbers-Square Numbers *
354(1)
8-44 Figurate Numbers-Square Numbers **
354(1)
8-45 Figurate Numbers-Rectangular Numbers *
355(1)
8-46 Figurate Numbers-Rectangular Numbers **
355(1)
8-47 Numerical Patterns *
356(1)
8-48 Numerical Patterns ** G
356(1)
8-49 Line Symmetry *
357(1)
8-50 Lines of Symmetry **
357(1)
8-51 Networks *
358(1)
8-52 Traceable Networks ** G
359(1)
8-53 Using Digraphs *
359(1)
8-54 Using Digraphs **
360(1)
8-55 Using Digraphs ** G
361(1)
8-56 Symbols and Letters in Math **
361(1)
8-57 Quotation about Mathematics **
362(1)
8-58 A Personal Quotation about Mathematics *
362(1)
Answer Key 363
Judith A. Muschla taught mathematics in South River, New Jersey, for over twenty-five years. Along with teaching and writing, she has been a member of the State Standards Review Panel for the Mathematics Core Curriculum Content Standards in New Jersey.

Gary Robert Muschla taught at Appleby School in Spotswood, New Jersey, for more than twenty-five years. His specialties include mathematics at the middle school level, reading, and writing. Judith and Gary have coauthored several very successful math activity books, including The Algebra Teacher's Activities Kit, Hands-On Math Projects with Real-Life Applications, and The Math Teacher's Book of Lists.

Erin Muschla-Berry teaches eighth grade math at Monroe Township Middle School in Monroe, New Jersey, and has collaborated with Judith and Gary on four previous math books, including Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8.
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