Teaching the Common Core Math Standards with Hands-On Activities, Grades 9-12

Easy-to-use, engaging activities that enhance your curriculum and align with the Common Core Teaching the Common Core Math Standards with Hands-On Activities, Grades 9-12 is a valuable resource for teachers who need to make the adjustment to the new standards right away. This book provides little- or no-prep activities specifically created to address Common Core math standards at the high school level. The easy-to-navigate design allows you to find what you need quickly, and thorough teacher's notes make implementation easy. In this book, the Muschlas extend their popular Teaching the Common Core series to the higher grade levels with lessons that can be quickly adapted to suit your students' ability levels and learning styles. Students will build critical thinking skills, learn how to communicate math concepts, hone problem-solving abilities, and have fun while you prepare them to excel in higher education and in the workplace. The activities in Teaching the Common Core Math Standards with Hands-On Activities, Grades 9-12 are designed to capture students' attention. Icons make it easy to identify lessons that involve collaborative learning or technology. Inside, you'll find reproducible resources, answer keys, and hints for instruction, giving you everything you need to ensure that every lesson runs smoothly and helps students master the Common Core Standards, beginning right away.

About This Book v
About the Authors vii
Acknowledgments ix
SECTION 1: STANDARDS AND ACTIVITIES FOR NUMBER AND QUANTITY 1
The Real Number System 2
N-RN. 1 2
Activity: Understanding Integer and Rational Exponents 2
N-RN. 2 3
Activity: Finding the Values of Expressions  3
N-RN. 3 4
Activity: Sums and Properties of Rational and Irrational Numbers 5
Quantities  6
N-Q. 1 7
Activity: A Recommendation for the Boss 7
N-Q. 2 8
Activity: Defining Appropriate Quantities    8
N-Q. 3 10
Activity: Determining Levels of Accuracy in Measurement 10
The Complex Number System 11
N-CN. 1 11
Activity: Classifying Complex Numbers  11
N-CN. 2 13
Activity: Operations with Complex Numbers 13
N-CN. 7 14
Activity: Matching Roots 14
Reproducibles for Section 1: Number and Quantity
N-RN. 1: The Meaning of Rational Exponents 16
N-RN. 2: Equations and Their Values. 17
N-RN. 3: Proving the Sum of Two Rational Numbers Is Rational  18
N-RN. 3: Proving the Sum of Rational and Irrational Numbers Is Irrational  19
N-Q. 1: Guidelines for Choosing a Delivery Vehicle    20
N-Q. 2: Defining Appropriate Quantities for Problem Solving  21
N-CN. 1: Graphic Organizer for Complex Numbers  22
N-CN. 2: Complex Number Cards-Solutions and Problems  23
N-CN. 7: Quadratic Equations and Their Roots. 24
SECTION 2: STANDARDS AND ACTIVITIES FOR ALGEBRA 25
Seeing Structure in Expressions 26
A-SSE. 1    26
Activity: Interpreting Expressions 26
A-SSE. 2    27
Activity: Rewriting Expressions 28
A-SSE. 3    29
Activity: Expressions and Equivalent Forms 29
A-SSE. 4    30
Activity: Deriving a Formula 30
Arithmetic with Polynomials and Rational Expressions    32
A-APR. 1    32
Activity: Pick the Polynomial 32
A-APR. 2    33
Activity: Solving a Division Puzzle 34
A-APR. 3    35
Activity: Matching Functions, Graphs, and Zeroes of a Function 35
A-APR. 4    36
Activity: Proving the Polynomial Identity    36
A-APR. 6    38
Activity: Mistakes in Rational Expressions  38
Creating Equations39
A-CED. 1    39
Activity: Creating Equations and Inequalities 40
A-CED. 2    41
Activity: Creating and Graphing Equations  41
A-CED. 3    43
Activity: Pricing T-Shirts    43
A-CED. 4    44
Activity: Rearranging Formulas and Equations 44
Reasoning with Equations and Inequalities 45
A-REI. 1 45
Activity: Organizing the Steps for Solving Equations 46
A-REI. 2 47
Activity: Solving Equations 47
A-REI. 3 48
Activity: What's the Solution?     49
A-REI. 4 50
Activity: Racing to Solve Quadratic Equations 50
A-REI. 5 51
Activity: Solving a System of Equations 51
A-REI. 6 52
Activity: Solving Systems in Many Ways    53
A-REI. 7 54
Activity: Solving Systems of Equations  54
A-REI. 10    56
Activity: Tracing Equations  56
A-REI. 11    57
Activity: Selecting Pairs of Equations with the Same Solutions  57
A-REI. 12    58
Activity: Identifying Solutions through Graphing 59
Reproducibles for Section 2: Algebra
A-SSE. 1: The Expressions Game 61
A-SSE. 2: Identifying and Rewriting Expressions 62
A-SSE. 3: Expressions and Equivalent Forms Cards 63
A-SSE. 4: Identifying Errors in a Derived Formula 64
A-APR. 1: Polynomial Cards 65
A-APR. 2: Polynomial Division Cards 66
A-APR. 3: Finding Your Match, I 67
A-APR. 3: Finding Your Match, II 68
A-APR. 6: Correcting Mistakes in Rational Expressions 69
A-CED. 1: Which One Does Not Belong?     70
A-CED. 2: Word Problems, Equations, and Graphs  71
A-CED. 3: T-Shirts for the Math Club 72
A-CED. 4: Formula and Equation Cards  73
A-REI. 1: Equation and Step Cards 74
A-REI. 2: Rational and Radical Equation Problem Cards 75
A-REI. 3: Equation and Inequality Cards  76
A-REI. 4: Quadratic Equations and Score Sheet 77
A-REI. 5: Steps for Solving a System of Equations 78
A-REI. 6: Task Cards for Solving Systems of Linear Equations    79
A-REI. 7: Task Cards for Equations and Solutions  80
A-REI. 10: Tracing Equations with Graphing Calculators 81
A-REI. 11: Equations and Solutions 82
A-REI. 12: Solving Inequalities and Systems of Inequalities by Graphing 83
SECTION 3: STANDARDS AND ACTIVITIES FOR FUNCTIONS 84
Interpreting Functions 85
F-IF. 1 85
Activity: Identifying Functions    85
F-IF. 2 86
Activity: Grouping Rules, Inputs, and Outputs 86
F-IF. 3 87
Activity: Figurate Numbers 87
F-IF. 4 89
Activity: Finding Similarities and Differences in Functions 90
F-IF. 5 92
Activity: Recognizing Functions 92
F-IF. 6 93
Activity: Matching Functions, Tables, and Average Rates of Change 93
F-IF. 7 95
Activity: Making a Function Booklet 96
F-IF. 8 97
Activity: Writing Functions in Equivalent Forms 97
F-IF. 9 99
Activity: Comparing Functions    99
Building Functions 100
F-BF. 1 101
Activity: Writing Functions  101
F-BF. 2 102
Activity: The Game of Arithmetic and Geometric Sequences    102
F-BF. 3 104
Activity: Matching Functions with Their Graphs 104
F-BF. 4 105
Activity: Finding the Inverse of a Function-Bingo    106
Linear, Quadratic, and Exponential Models 107
F-LE. 1 107
Activity: Modeling Linear and Exponential Functions 108
F-LE. 2 109
Activity: Constructing Linear and Exponential Functions 110
F-LE. 3    111
Activity: Analyzing Exponential and Polynomial Functions 111
F-LE. 4    112
Activity: Logarithmic and Exponential Equations    112
F-LE. 5    113
Activity: Interpreting Parameters of Functions 113
Trigonometric Functions    115
F-TF. 1    115
Activity: Understanding Radian Measure  115
F-TF. 2    116
Activity: Trigonometric Functions and the Unit Circle  116
F-TF. 5    117
Activity: Modeling Monthly Precipitation  117
F-TF. 8    119
Activity: Proving and Applying the Pythagorean Identity 119
Reproducibles for Section 3: Functions
F-IF. 2: Function Cards 121
F-IF. 4: Function Sets, I 122
F-IF. 4: Function Sets, II 123
F-IF. 6: Equations, Tables, and Average Rates of Change Cards, I 124
F-IF. 6: Equations, Tables, and Average Rates of Change Cards, II 125
F-IF. 7: A Function Booklet 126
F-IF. 9: Comparing Function Cards, I 127
F-IF. 9: Comparing Function Cards, II 128
F-BF. 2: Arithmetic and Geometric Sequence Game Cards 129
F-BF. 3: Graphs and Functions  130
F-BF. 4: Function Bingo Board  131
F-BF. 4: Functions for Bingo    132
F-LE. 1: Tables and Rates of Change 133
F-LE. 2: Information Cards for Linear and Exponential Functions 134
F-LE. 4: Logarithmic Equation, Exponential Equation, and Solution Cards  135
F-TF. 1: Drawing an Angle Whose Measure Is 1 Radian 136
F-TF. 2: Explaining Trigonometric Functions Using the Unit Circle 138
F-TF. 8: Proving the Pythagorean Identity  139
F-TF. 8: Angles and Their Quadrants 140
SECTION 4: STANDARDS AND ACTIVITIES FOR GEOMETRY 141
Congruence    142
G-CO. 1 142
Activity: Drawing and Defining Figures  142
G-CO. 2 143
Activity: Presenting a Mini-Lesson on Transformations 143
G-CO. 3 145
Activity: Carrying a Figure onto Itself 145
G-CO. 4 146
Activity: Identifying and Defining Transformations  146
G-CO. 5 147
Activity: Drawing and Identifying Transformations  147
G-CO. 6 148
Activity: Predicting the Effects of Transformations    149
G-CO. 7 149
Activity: Identifying Congruent Triangles    150
G-CO. 8 151
Activity: Congruence and Rigid Motions    151
G-CO. 9 152
Activity: Proving Theorems about Lines and Angles 152
G-CO. 10    153
Activity: Proofs about Triangles 153
G-CO. 11    154
Activity: Proving Theorems about Parallelograms  154
G-CO. 12    156
Activity: Constructing Geometric Figures  156
G-CO. 13    157
Activity: Constructing Regular Polygons    157
Similarity, Right Triangles, and Trigonometry  158
G-SRT. 1    158
Activity: Dilating Lines and Line Segments  159
G-SRT. 2    160
Activity: Identifying Similar Triangles. 160
G-SRT. 3    161
Activity: Establishing the AA Criterion for Two Similar Triangles  161
G-SRT. 4    162
Activity: Proving Theorems about Triangles  162
G-SRT. 5    164
Activity: Reflecting on Congruence and Symmetry    164
G-SRT. 6    165
Activity: Exploring the Ratios of Sides in a Right Triangle 165
G-SRT. 7  166
Activity: Relating the Sine and Cosine of Complementary Angles 166
G-SRT. 8  167
Activity: Problems, Questions, and Solutions 167
Circles    168
G-C. 1    169
Activity: Proving All Circles Are Similar    169
G-C. 2    169
Activity: Eliminating Figures Based on What They Are Not    170
G-C. 3    171
Activity: Working with Inscribed and Circumscribed Circles    171
G-C. 5    172
Activity: Critiquing Derivations  172
Expressing Geometric Properties with Equations 173
G-GPE. 1  173
Activity: Working with Equations 174
G-GPE. 2  175
Activity: Deriving the Equation of a Parabola 175
G-GPE. 4  176
Activity: Proving Geometric Theorems with Coordinates 176
G-GPE. 5  177
Activity: Slopes of Parallel and Perpendicular Lines  177
G-GPE. 6  178
Activity: Partitioning Line Segments 179
G-GPE. 7  180
Activity: Graphing and Finding Perimeters and Areas of Polygons 180
Geometric Measurement and Dimension 181
G-GMD. 1 181
Activity: Presenting a Mini-Lesson on Formulas    181
G-GMD. 3 183
Activity: Using Volume Formulas to Solve Problems  183
G-GMD. 4 184
Activity: Cross-Sections and Rotations    184
Modeling with Geometry    185
G-MG. 1    185
Activity: Using Properties of Geometric Shapes    186
G-MG. 2    187
Activity: A Plan for Recreational Facilities  187
G-MG. 3    188
Activity: Planning to Build a Garage 188
Reproducibles for Section 4: Geometry
G-CO. 1: Instructions for Drawing Figures  190
G-CO. 2: Transformation Tasks    191
G-CO. 3: Polygons 192
G-CO. 4: Transformations 193
G-CO. 5: Figures and Transformations 194
G-CO. 6: Figures and Images 195
G-CO. 7: Triangles, Sides, and Angles 196
G-CO. 8: Identifying Congruent Triangles    197
G-CO. 9: Proof Prompts    198
G-CO. 10: Finding the Missing Steps in Proofs about Triangles 200
G-CO. 11: Steps for Proving Theorems about Parallelograms    203
G-CO. 12: Construction Task Cards 205
G-CO. 13: Inscribing Regular Polygons in Circles 206
G-SRT. 1: Exploring Dilations 207
G-SRT. 2: Determining if Triangles Are Similar 208
G-SRT. 3: Drawing Triangles Based on Angle Measures 209
G-SRT. 4: Proving the Triangle Proportionality Theorem 210
G-SRT. 4: Proving the Converse of the Triangle Proportionality Theorem    211
G-SRT. 4: Proving the Pythagorean Theorem by Using Similar Triangles  212
G-SRT. 6: Ratios of Sides in a Right Triangle 213
G-SRT. 8: Problems and Solutions 214
G-C. 1: Going 'Round in Circles 216
G-C. 2: A Circle with Segments, Angles, and Triangles 217
G-C. 3: Inscribed and Circumscribed Circles 218
G-C. 5: Miguel's Derivations 219
G-GPE. 1: Equations of a Circle 220
G-GPE. 2: Steps for Deriving the Equation of a Parabola 221
G-GPE. 4: Task Cards and Coordinates  223
G-GPE. 5: Using Slopes to Write Equations  224
G-GPE. 6: Endpoints and Ratios  226
G-GPE. 7: Graphs, Perimeters, and Areas of Polygons 227
G-GMD. 3: Finding Volume  228
G-GMD. 4: Statements for the Cross-Sections and Rotations Game 229
G-MG. 1: Using Properties of Geometric Shapes to Find Area    230
G-MG. 2: Township Facts 231
G-MG. 3: A Plot Plan 232
SECTION 5: STANDARDS AND ACTIVITIES FOR STATISTICS AND PROBABILITY 233
Interpreting Categorical and Quantitative Data  234
S-ID. 1    234
Activity: Representing Data    234
S-ID. 2    235
Activity: Comparing Two Different Data Sets 236
S-ID. 3    236
Activity: Interpreting Data Sets  237
S-ID. 4    238
Activity: Analyzing Test Scores 238
S-ID. 5    239
Activity: Making and Interpreting Two-Way Frequency Tables    239
S-ID. 6    240
Activity: Representing Data on a Scatter Plot 240
S-ID. 7    242
Activity: Identifying Slopes and Y-Intercepts 242
S-ID. 8    243
Activity: Computing and Interpreting the Correlation Coefficient 243
S-ID. 9    244
Activity: Determining Correlation and Causation    244
Making Inferences and Justifying Conclusions  246
S-IC. 1    246
Activity: Random Samples and Inferences 246
S-IC. 2    247
Activity: Simulations and Probability 248
S-IC. 3    249
Activity: Surveys, Experiments, and Observational Studies  249
S-IC. 4    250
Activity: Evaluating Sample Surveys and Simulations 250
S-IC. 5    252
Activity: Comparing Two Treatments 252
S-IC. 6    253
Activity: Evaluating Reports and Data    253
Conditional Probability and the Rules of Probability 254
S-CP. 1    255
Activity: Describing Events as Subsets 255
S-CP. 2    256
Activity: Identifying Events 256
S-CP. 3    257
Activity: Using Conditional Probability    258
S-CP. 4260
Activity: Understanding Independence and Conditional Probability 260
S-CP. 5262
Activity: Explaining Conditional Probability and Independence 262
S-CP. 6263
Activity: Finding Conditional Probability  263
S-CP. 7264
Activity: Using the Addition Rule  265
Reproducibles for Section 5: Statistics and Probability
S-ID. 2: Guidelines for Comparing Two Different Data Sets 267
S-ID. 4: Analysis Guidelines 268
S-ID. 5: Examples of Two-Way Frequency Tables 269
S-ID. 5: Survey Questions  270
S-ID. 7: Description, Data, Slope, and Y-Intercept Cards 271
S-ID. 9: Correlation and Causation Statements 272
S-IC. 1: Examples of Samples    273
S-IC. 3: Identifying Surveys, Experiments, and Observational Studies  274
S-IC. 4: A Sample Survey and Simulation Samples    275
S-IC. 5: Bean Plant Growth Chart  276
S-IC. 6: Beach Revenue Data 277
S-CP. 1: Subsets of a Sample Space 279
S-CP. 3: Independent and Dependent Events 280
S-CP. 4: Student Data on Exercising and Dieting  281
S-CP. 6: Considering Outcomes 282
S-CP. 7: Using the Addition Rule to Find Probabilities  283
INDEX 285