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E-raamat: Algebra Teacher's Activities Kit: 150 Activities that Support Algebra in the Common Core Math Standards, Grades 6-12

(Applegarth Middle School, Monroe, NJ), (The College of New Jersey (formerly Trenton State College), Ewing Township, NJ), (Rutgers University, New Brunswick, NJ)
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  • Ilmumisaeg: 30-Nov-2015
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119045595
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  • Formaat: EPUB+DRM
  • Sari: J-B Ed: Activities
  • Ilmumisaeg: 30-Nov-2015
  • Kirjastus: Jossey-Bass Inc.,U.S.
  • Keel: eng
  • ISBN-13: 9781119045595

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Help your students succeed with classroom-ready, standards-based activities

The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time.

This book provides dozens of activities that

  • Directly address each Common Core algebra standard
  • Engage students and get them excited about math
  • Are tailored to a diverse range of levels and abilities
  • Reinforce fundamental skills and demonstrate everyday relevance

Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. TheAlgebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond.

About the Authors vii
Acknowledgments ix
Preface xvii
Section 1: Ratios And Proportional Relationships 1(18)
Teaching Notes for the Activities of Section 1
2(1)
1-1 (6.RP1) Understanding Ratios
2(1)
1-2 (6.RP2) Unit Rates and Ratios
2(1)
1-3 (6.RP3) Equivalent Ratios and the Coordinate Plane
3(1)
1-4 (6.RP3) Finding the Percent of a Number and Finding the Whole
3(1)
1-5 (7.RP1) Finding Unit Rates
4(1)
1-6 (7.RP2) Graphing Proportional Relationships
4(1)
1-7 (7.RP2) Representing Proportional Relationships
5(1)
1-8 (7.RP3) Solving Word Problems Involving Percents
5(1)
Reproducibles for Section 1
6(13)
Section 2: The Number System And Number And Quantity 19(41)
Teaching Notes for the Activities of Section 2
20(1)
2-1 (6.NS.5) Representing Positive and Negative Numbers
20(1)
2-2 (6.NS.6) Graphing Rational Numbers on a Number Line
20(1)
2-3 (6.NS.6) Graphing Points in the Coordinate Plane
21(1)
2-4 (6.NS.7) The Absolute Value and Order of Rational Numbers
22(1)
2-5 (6.NS.8) Using the Coordinate Plane to Solve Problems
22(1)
2-6 (7.NS.1) Using the Number Line to Add and Subtract Rational Numbers
23(1)
2-7 (7.NS.1) Using Properties to Add and Subtract Rational Numbers
24(1)
2-8 (7.NS.2) Multiplying and Dividing Rational Numbers
25(1)
2-9 (7.NS.2) Converting Rational Numbers to Decimals
26(1)
2-10 (7.NS.3) Solving Word Problems Involving Rational Numbers
27(1)
2-11 (8.NS.1) Expressing Fractions as Repeating Decimals and Repeating Decimals as Fractions
27(1)
2-12 (8.NS.2) Using Rational Approximations of Irrational Numbers
28(1)
2-13 (N-RN.1) Using the Properties of Exponents
29(1)
2-14 (N-RN.2) Rewriting Expressions Involving Radicals and Rational Exponents
29(1)
2-15 (N-RN.3) Sums and Products of Rational and Irrational Numbers
30(1)
2-16 (N-Q.1) Interpreting and Using Units
31(1)
2-17 (N-Q.2) Defining Appropriate Quantities
31(1)
2-18 (N-Q.3) Choosing Appropriate Levels of Accuracy for Measurement
32(1)
2-19 (N-CN.1) Writing Complex Numbers
33(1)
2-20 (N-CN.2) Adding, Subtracting, and Multiplying Complex Numbers
34(1)
2-21 (N-CN.7) Solving Quadratic Equations That Have Complex Solutions
34(1)
Reproducibles for Section 2
35(25)
Section 3: Basic Expressions, Equations, And Inequalities 60(43)
Teaching Notes for the Activities of Section 3
61(1)
3-1 (6.EE.1) Writing and Evaluating Numerical Expressions with Whole-Number Exponents
61(1)
3-2 (6.EE.2) Writing and Reading Algebraic Expressions
62(1)
3-3 (6.EE.2) Evaluating Algebraic Expressions
62(1)
3-4 (6.EE.3) Applying Properties of Operations to Generate Equivalent Expressions
63(1)
3-5 (6.EE.4) Identifying Equivalent Expressions
63(1)
3-6 (6.EE.5) Identifying Solutions of Equations and Inequalities
64(1)
3-7 (6.EE.6) Writing Expressions in Which Variables Represent Numbers
64(1)
3-8 (6.EE.7) Writing and Solving Equations
65(1)
3-9 (6.EE.8) Using Inequalities
65(1)
3-10 (6.EE.9) Using Variables to Represent Two Quantities
66(1)
3-11 (7.EE.1) Adding, Subtracting, Factoring, and Expanding Linear Expressions
67(1)
3-12 (7.EE.2) Rewriting Expressions in Different Forms
67(1)
3-13 (7.EE.3) Solving Multi-Step Problems
68(1)
3-14 (7.EE.4) Solving Equations and Inequalities
68(1)
3-15 (8.EE.1) Applying Properties of Integer Exponents
69(1)
3-16 (8.EE.2) Using Square Roots and Cube Roots
69(1)
3-17 (8.EE.3) Using Numbers Expressed in Scientific Notation
70(1)
3-18 (8.EE.4) Operations with Scientific Notation
71(1)
3-19 (8.EE.5) Graphing Proportional Relationships
71(1)
3-20 (8.EE.6) Deriving the Equation y = mx
72(1)
3-21 (8.EE.7) Identifying Equations That Have One Solution, No Solutions, or Infinitely Many Solutions
73(1)
3-22 (8.EE.7) Solving Equations with Variables on Both Sides
73(1)
3-23 (8.EE.8) Solving Systems of Linear Equations Algebraically
74(1)
3-24 (8.EE.8) Solving Systems of Equations by Graphing
75(1)
Reproducibles for Section 3
75(28)
Section 4: Polynomial, Rational, Exponential, And Radical Expressions, Equations, And Inequalities 103(52)
Teaching Notes for the Activities of Section 4
104(1)
4-1 (A-SSE.1) Interpreting Expressions
104(1)
4-2 (A-SSE.2) Using the Structure of an Expression to Identify Ways to Rewrite It
104(1)
4-3 (A-SSE.3) Factoring Quadratic Expressions to Reveal Zeroes
105(1)
4-4 (A-SSE.3) Completing the Square to Reveal Maximum or Minimum Values
106(1)
4-5 (A-SSE.4) Finding Sums of Finite Geometric Series
106(1)
4-6 (A-APR.1) Adding, Subtracting, and Multiplying Polynomials
107(1)
4-7 (A-APR.2) Applying the Remainder Theorem
107(1)
4-8 (A-APR.3) Using Zeroes to Construct a Rough Graph of a Polynomial Function
108(1)
4-9 (A-APR.4) Proving Polynomial Identities
109(1)
4-10 (A-APR.6) Rewriting Rational Expressions
110(1)
4-11 (A-CED.1) Writing and Solving Equations and Inequalities in One Variable
111(1)
4-12 (A-CED.2) Writing and Graphing Equations in Two Variables
111(1)
4-13 (A-CED.3) Representing Constraints and Interpreting Solutions
112(1)
4-14 (A-CED.4) Highlighting Quantities of Interest in Formulas
113(1)
4-15 (A-REI.1) Justifying Solutions to Equations
113(1)
4-16 (A-REI.2) Solving Rational and Radical Equations
114(1)
4-17 (A-REI.3) Solving Multi-Step Linear Equations in One Variable
115(1)
4-18 (A-REI.3) Solving Multi-Step Linear Inequalities in One Variable
115(1)
4-19 (A-REI.4) Solving a Quadratic Equation by Completing the Square
116(1)
4-20 (A-REI.4) Solving Quadratic Equations in a Variety of Ways
116(1)
4-21 (A-REI.5) Solving Systems of Equations
117(1)
4-22 (A-REI.6) Solving Systems of Linear Equations
118(1)
4-23 (A.REI.7) Solving a System of a Linear and a Quadratic Equation
118(1)
4-24 (A-REI.10) Relating Graphs to the Solutions of Equations
119(1)
4-25 (A-REI.11) Using Graphs and Tables to Find Solutions to Systems of Equations
120(1)
4-26 (A-REI.12) Solving Systems of Inequalities by Graphing
120(1)
Reproducibles for Section 4
121(34)
Section 5: Functions 155(66)
Teaching Notes for the Activities of Section 5
156(1)
5-1 (8.F.1) Identifying Functions
156(1)
5-2 (8.F.2) Comparing Functions
157(1)
5-3 (8.F.3) Determining Whether Data Lies on a Line
157(1)
5-4 (8.F.4) Finding the Slope and V-Intercept of a Line
157(1)
5-5 (8.F.5) Analyzing and Graphing Functions
158(1)
5-6 (F-IF.1) Understanding Functions
159(1)
5-7 (F-IF.2) Finding the Values of Functions
159(1)
5-8 (F-IF.3) Defining Sequences Recursively
160(1)
5-9 (F-IF.4) Identifying Key Features of Graphs
160(1)
5-10 (F-IE5) Relating the Domain of a Function to Its Graph or Description
161(1)
5-11 (F-IE6) Finding the Average Rate of Change over Specified Intervals
162(1)
5-12 (F-IF.7) Graphing Linear and Quadratic Functions
162(1)
5-13 (F-IF.7) Graphing Polynomial Functions
163(1)
5-14 (F-IF.8) Rewriting Quadratic Equations
164(1)
5-15 (F-IF.9) Comparing Properties of Functions
165(1)
5-16 (F-BF.1) Writing Functions
165(1)
5-17 (F-BF.2) Writing Arithmetic and Geometric Sequences
166(1)
5-18 (F-BF.3) Transforming a Function
166(1)
5-19 (F-BF.4) Finding the Inverses of Functions
167(1)
5-20 (F-LE.1) Proving Linear Functions Grow by Equal Differences over Equal Intervals
168(1)
5-21 (F-LE.1) Proving Exponential Functions Grow by Equal Factors over Equal Intervals
168(1)
5-22 (F-LE.2) Constructing Linear and Exponential Functions
169(1)
5-23 (F-LE.3) Observing the Behavior of Quantities That Increase Exponentially
170(1)
5-24 (F-LE.4) Writing and Solving Exponential Equations
170(1)
5-25 (F-LE.5) Interpreting Parameters in a Linear or Exponential Function
171(1)
5-26 (F-TF.1) Using Radian and Degree Measures
172(1)
5-27 (F-TF.2) Using the Unit Circle
172(1)
5-28 (F-TF.5) Modeling Periodic Phenomena
173(1)
5-29 (F-TF.8) Finding the Values of the Sine, Cosine, and Tangent Functions
174(1)
Reproducibles for Section 5
175(46)
Section 6: Statistics And Probability 221(84)
Teaching Notes for the Activities of Section 6
222(1)
6-1 (6.SP1) Identifying Statistical Questions
222(1)
6-2 (6.SP2) Describing Data Distributions
222(1)
6-3 (6.SP3) Finding the Mean, Median, Mode, and Range
223(1)
6-4 (6.SP4) Using Dot Plots to Display Data
224(1)
6-5 (6.SP4) Constructing a Box Plot
224(1)
6-6 (6.SP5) Summarizing and Describing Data
225(2)
6-7 (7.SP1) Drawing Inferences from Samples
227(1)
6-8 (7.SP2) Drawing Inferences about a Population Using Random Samples
227(1)
6-9 (7.SP3) Comparing Two Data Sets
228(1)
6-10 (7.SP4) Drawing Inferences about Populations
229(1)
6-11 (7.SP5) Understanding the Probability of Events
229(1)
6-12 (7.SP6) Probabilities and Predictions
230(1)
6-13 (7.SP7) Using Probability Models to Find Probabilities of Events
230(1)
6-14 (7.SP8) Understanding the Probability of Compound Events
231(1)
6-15 (7.SP8) Finding Probabilities of Compound Events Using Tables, Lists, and Tree Diagrams
232(1)
6-16 (8.SP1) Constructing and Interpreting Scatter Plots
233(1)
6-17 (8.SP2) Fitting Lines to Data
234(1)
6-18 (8.SP3) Using Equations of Linear Models
234(1)
6-19 (8.SP4) Constructing and Interpreting Two-Way Tables
235(1)
6-20 (S-ID.1) Representing Data with Plots on the Real Number Line
236(1)
6-21 (S-ID.2) Comparing Two Data Sets
236(1)
6-22 (S-ID.3) Interpreting Differences in Shape, Center, and Spread of Data Distributions
237(1)
6-23 (S-ID.4) Recognizing Characteristics of Normal Distributions
238(1)
6-24 (S-ID.5) Summarizing Categorical Data in Two-Way Frequency Tables
238(1)
6-25 (S-ID.6) Finding the Equation of the Line of Best Fit
239(1)
6-26 (S-ID.6) Using Linear and Quadratic Models
240(1)
6-27 (S-ID.7) Interpreting the Slope and Y-Intercept of a Linear Model
241(1)
6-28 (S-ID.8) Computing and Interpreting the Correlation Coefficient
241(1)
6-29 (S-ID.9) Distinguishing between Correlation and Causation
242(1)
6-30 (S-IC.1) Understanding the Terminology of Statistical Experiments
242(1)
6-31 (S-IC.2) Evaluating Probability Models through Simulations
243(1)
6-32 (S-IC.3) Recognizing Surveys, Experiments, and Observational Studies
244(1)
6-33 (S-IC.4) Using Simulations with Random Sampling
244(1)
6-34 (S-IC.5) Comparing Two Treatments Using Simulations
245(1)
6-35 (S-IC.6) Evaluating Data in Reports
246(1)
6-36 (S-CP1) Describing Events as Subsets of a Sample Space
246(1)
6-37 (S-CP2) Identifying Independent Events
247(1)
6-38 (S-CP3) Interpreting Conditional Probability
247(1)
6-39 (S-CP4) Understanding Two-Way Frequency Tables
248(1)
6-40 (S-CP5) Exploring Concepts of Conditional Probability
249(1)
6-41 (S-CP6) Finding Conditional Probabilities as a Fraction of Outcomes
249(1)
6-42 (S-CP7) Applying the Addition Rule
250(1)
Reproducibles for Section 6
250(55)
Index 305
Judith A. Muschla has 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 successful math activity books, including Teaching the Common Core Math Standards with Hands on Activities, Grades 9-12, Hands-On Math Projects with Real Life Applications, The Math Teacher's Book of Lists, and Math Starters.

Erin Muschla-Berry teaches 8th grade math at Monroe Township Middle School in Monroe, New Jersey, and has collaborated with Judith and Gary on eight previous math books.