Algebra Teacher's Activities Kit

Algebra Teacher's Activities Kit

150 Activities That Support Algebra in the Common Core Math Standards

Muschla-Berry, Erin; Muschla, Gary Robert; Muschla, Judith A.

John Wiley & Sons Inc

02/2016

336

Mole

Inglês

9781119045748

15 a 20 dias

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.
About the Authors vii Acknowledgments ix Preface xvii SECTION 1: RATIOS AND PROPORTIONAL RELATIONSHIPS 1 Teaching Notes for the Activities of Section 1 2 1 1: (6.RP.1) Understanding Ratios 2 1 2: (6.RP.2) Unit Rates and Ratios 2 1 3: (6.RP.3) Equivalent Ratios and the Coordinate Plane 3 1 4: (6.RP.3) Finding the Percent of a Number and Finding the Whole 3 1 5: (7.RP.1) Finding Unit Rates 4 1 6: (7.RP.2) Graphing Proportional Relationships 4 1 7: (7.RP.2) Representing Proportional Relationships 5 1 8: (7.RP.3) Solving Word Problems Involving Percents 5 Reproducibles for Section 1 6 SECTION 2: THE NUMBER SYSTEM AND NUMBER AND QUANTITY 19 Teaching Notes for the Activities of Section 2 20 2 1: (6.NS.5) Representing Positive and Negative Numbers 20 2 2: (6.NS.6) Graphing Rational Numbers on a Number Line 20 2 3: (6.NS.6) Graphing Points in the Coordinate Plane 21 2 4: (6.NS.7) The Absolute Value and Order of Rational Numbers 22 2 5: (6.NS.8) Using the Coordinate Plane to Solve Problems 22 2 6: (7.NS.1) Using the Number Line to Add and Subtract Rational Numbers23 2 7: (7.NS.1) Using Properties to Add and Subtract Rational Numbers 24 2 8: (7.NS.2) Multiplying and Dividing Rational Numbers 25 2 9: (7.NS.2) Converting Rational Numbers to Decimals26 2 10: (7.NS.3) Solving Word Problems Involving Rational Numbers 27 2 11: (8.NS.1) Expressing Fractions as Repeating Decimals and Repeating Decimals as Fractions 27 2 12: (8.NS.2) Using Rational Approximations of Irrational Numbers 28 2 13: (N-RN.1) Using the Properties of Exponents29 2 14: (N-RN.2) Rewriting Expressions Involving Radicals and Rational Exponents 29 2 15: (N-RN.3) Sums and Products of Rational and Irrational Numbers 30 2 16: (N-Q.1) Interpreting and Using Units 31 2 17: (N-Q.2) Defining Appropriate Quantities 31 2 18: (N-Q.3) Choosing Appropriate Levels of Accuracy for Measurement 32 2 19: (N-CN.1) Writing Complex Numbers 33 2 20: (N-CN.2) Adding, Subtracting, and Multiplying Complex Numbers 34 2 21: (N-CN.7) Solving Quadratic Equations That Have Complex Solutions 34 Reproducibles for Section 2 35 SECTION 3: BASIC EXPRESSIONS, EQUATIONS, AND INEQUALITIES 60 Teaching Notes for the Activities of Section 3 61 3 1: (6.EE.1) Writing and Evaluating Numerical Expressions with Whole-Number Exponents 61 3 2: (6.EE.2) Writing and Reading Algebraic Expressions 62 3 3: (6.EE.2) Evaluating Algebraic Expressions 62 3 4: (6.EE.3) Applying Properties of Operations to Generate Equivalent Expressions 63 3 5: (6.EE.4) Identifying Equivalent Expressions 63 3 6: (6.EE.5) Identifying Solutions of Equations and Inequalities 64 3 7: (6.EE.6) Writing Expressions in Which Variables Represent Numbers 64 3 8: (6.EE.7) Writing and Solving Equations 65 3 9: (6.EE.8) Using Inequalities 65 3 10: (6.EE.9) Using Variables to Represent Two Quantities 66 3 11: (7.EE.1) Adding, Subtracting, Factoring, and Expanding Linear Expressions 67 3 12: (7.EE.2) Rewriting Expressions in Different Forms 67 3 13: (7.EE.3) Solving Multi-Step Problems 68 3 14: (7.EE.4) Solving Equations and Inequalities 68 3 15: (8.EE.1) Applying Properties of Integer Exponents 69 3 16: (8.EE.2) Using Square Roots and Cube Roots 69 3 17: (8.EE.3) Using Numbers Expressed in Scientific Notation 70 3 18: (8.EE.4) Operations with Scientific Notation 71 3 19: (8.EE.5) Graphing Proportional Relationships 71 3 20: (8.EE.6) Deriving the Equation y = mx 72 3 21: (8.EE.7) Identifying Equations That Have One Solution, No Solutions, or Infinitely Many Solutions 73 3 22: (8.EE.7) Solving Equations with Variables on Both Sides 73 3 23: (8.EE.8) Solving Systems of Linear Equations Algebraically 74 3 24: (8.EE.8) Solving Systems of Equations by Graphing 75 Reproducibles for Section 3 75 SECTION 4: POLYNOMIAL, RATIONAL, EXPONENTIAL, AND RADICAL EXPRESSIONS, EQUATIONS, AND INEQUALITIES 103 Teaching Notes for the Activities of Section 4 104 4 1: (A-SSE.1) Interpreting Expressions 104 4 2: (A-SSE.2) Using the Structure of an Expression to Identify Ways to Rewrite It 104 4 3: (A-SSE.3) Factoring Quadratic Expressions to Reveal Zeroes 105 4 4: (A-SSE.3) Completing the Square to Reveal Maximum or Minimum Values 106 4 5: (A-SSE.4) Finding Sums of Finite Geometric Series 106 4 6: (A-APR.1) Adding, Subtracting, and Multiplying Polynomials 107 4 7: (A-APR.2) Applying the Remainder Theorem 107 4 8: (A-APR.3) Using Zeroes to Construct a Rough Graph of a Polynomial Function 108 4 9: (A-APR.4) Proving Polynomial Identities 109 4 10: (A-APR.6) Rewriting Rational Expressions 110 4 11: (A-CED.1) Writing and Solving Equations and Inequalities in One Variable 111 4 12: (A-CED.2) Writing and Graphing Equations in Two Variables 111 4 13: (A-CED.3) Representing Constraints and Interpreting Solutions 112 4 14: (A-CED.4) Highlighting Quantities of Interest in Formulas 113 4 15: (A-REI.1) Justifying Solutions to Equations 113 4 16: (A-REI.2) Solving Rational and Radical Equations 114 4 17: (A-REI.3) Solving Multi-Step Linear Equations in One Variable 115 4 18: (A-REI.3) Solving Multi-Step Linear Inequalities in One Variable 115 4 19: (A-REI.4) Solving a Quadratic Equation by Completing the Square 116 4 20: (A-REI.4) Solving Quadratic Equations in a Variety of Ways 116 4 21: (A-REI.5) Solving Systems of Equations 117 4 22: (A-REI.6) Solving Systems of Linear Equations 118 4 23: (A.REI.7) Solving a System of a Linear and a Quadratic Equation 118 4 24: (A-REI.10) Relating Graphs to the Solutions of Equations 119 4 25: (A-REI.11) Using Graphs and Tables to Find Solutions to Systems of Equations 120 4 26: (A-REI.12) Solving Systems of Inequalities by Graphing 120 Reproducibles for Section 4 121 SECTION 5: FUNCTIONS 155 Teaching Notes for the Activities of Section 5 156 5 1: (8.F.1) Identifying Functions 156 5 2: (8.F.2) Comparing Functions 157 5 3: (8.F.3) Determining Whether Data Lies on a Line 157 5 4: (8.F.4) Finding the Slope and Y-Intercept of a Line 157 5 5: (8.F.5) Analyzing and Graphing Functions 158 5 6: (F-IF.1) Understanding Functions 159 5 7: (F-IF.2) Finding the Values of Functions 159 5 8: (F-IF.3) Defining Sequences Recursively 160 5 9: (F-IF.4) Identifying Key Features of Graphs 160 5 10: (F-IF.5) Relating the Domain of a Function to Its Graph or Description 161 5 11: (F-IF.6) Finding the Average Rate of Change over Specified Intervals 162 5 12: (F-IF.7) Graphing Linear and Quadratic Functions 162 5 13: (F-IF.7) Graphing Polynomial Functions 163 5 14: (F-IF.8) Rewriting Quadratic Equations 164 5 15: (F-IF.9) Comparing Properties of Functions 165 5 16: (F-BF.1) Writing Functions 165 5 17: (F-BF.2) Writing Arithmetic and Geometric Sequences 166 5 18: (F-BF.3) Transforming a Function 166 5 19: (F-BF.4) Finding the Inverses of Functions 167 5 20: (F-LE.1) Proving Linear Functions Grow by Equal Differences over Equal Intervals 168 5 21: (F-LE.1) Proving Exponential Functions Grow by Equal Factors over Equal Intervals 168 5 22: (F-LE.2) Constructing Linear and Exponential Functions 169 5 23: (F-LE.3) Observing the Behavior of Quantities That Increase Exponentially 170 5 24: (F-LE.4) Writing and Solving Exponential Equations 170 5 25: (F-LE.5) Interpreting Parameters in a Linear or Exponential Function 171 5 26: (F-TF.1) Using Radian and Degree Measures 172 5 27: (F-TF.2) Using the Unit Circle 172 5 28: (F-TF.5) Modeling Periodic Phenomena 173 5 29: (F-TF.8) Finding the Values of the Sine, Cosine, and Tangent Functions 174 Reproducibles for Section 5 175 SECTION 6: STATISTICS AND PROBABILITY 221 Teaching Notes for the Activities of Section 6 222 6 1: (6.SP.1) Identifying Statistical Questions 222 6 2: (6.SP.2) Describing Data Distributions 222 6 3: (6.SP.3) Finding the Mean, Median, Mode, and Range 223 6 4: (6.SP.4) Using Dot Plots to Display Data 224 6 5: (6.SP.4) Constructing a Box Plot 224 6 6: (6.SP.5) Summarizing and Describing Data 225 6 7: (7.SP.1) Drawing Inferences from Samples 227 6 8: (7.SP.2) Drawing Inferences about a Population Using Random Samples 227 6 9: (7.SP.3) Comparing Two Data Sets 228 6 10: (7.SP.4) Drawing Inferences about Populations 229 6 11: (7.SP.5) Understanding the Probability of Events 229 6 12: (7.SP.6) Probabilities and Predictions 230 6 13: (7.SP.7) Using Probability Models to Find Probabilities of Events 230 6 14: (7.SP.8) Understanding the Probability of Compound Events 231 6 15: (7.SP.8) Finding Probabilities of Compound Events Using Tables, Lists, and Tree Diagrams 232 6 16: (8.SP.1) Constructing and Interpreting Scatter Plots 233 6 17: (8.SP.2) Fitting Lines to Data 234 6 18: (8.SP.3) Using Equations of Linear Models234 6 19: (8.SP.4) Constructing and Interpreting Two-Way Tables 235 6 20: (S-ID.1) Representing Data with Plots on the Real Number Line 236 6 21: (S-ID.2) Comparing Two Data Sets 236 6 22: (S-ID.3) Interpreting Differences in Shape, Center, and Spread of Data Distributions 237 6 23: (S-ID.4) Recognizing Characteristics of Normal Distributions 238 6 24: (S-ID.5) Summarizing Categorical Data in Two-Way Frequency Tables 238 6 25: (S-ID.6) Finding the Equation of the Line of Best Fit 239 6 26: (S-ID.6) Using Linear and Quadratic Models 240 6 27: (S-ID.7) Interpreting the Slope and Y-Intercept of a Linear Model 241 6 28: (S-ID.8) Computing and Interpreting the Correlation Coefficient 241 6 29: (S-ID.9) Distinguishing between Correlation and Causation 242 6 30: (S-IC.1) Understanding the Terminology of Statistical Experiments 242 6 31: (S-IC.2) Evaluating Probability Models through Simulations 243 6 32: (S-IC.3) Recognizing Surveys, Experiments, and Observational Studies 244 6 33: (S-IC.4) Using Simulations with Random Sampling 244 6 34: (S-IC.5) Comparing Two Treatments Using Simulations 245 6 35: (S-IC.6) Evaluating Data in Reports 246 6 36: (S-CP.1) Describing Events as Subsets of a Sample Space 246 6 37: (S-CP.2) Identifying Independent Events 247 6 38: (S-CP.3) Interpreting Conditional Probability 247 6 39: (S-CP.4) Understanding Two-Way Frequency Tables 248 6 40: (S-CP.5) Exploring Concepts of Conditional Probability 249 6 41: (S-CP.6) Finding Conditional Probabilities as a Fraction of Outcomes 249 6 42: (S-CP.7) Applying the Addition Rule 250 Reproducibles for Section 6 250 INDEX 305
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