Teaching the Common Core Math Standards with HandsOn Activities, Grades 912ISBN: 9781118710104
312 pages
May 2015, JosseyBass

Description
Teaching Common Core Math Standards with HandsOn Activities, Grades 912 provides high school teachers with the kind of help they need to begin teaching the standards right away. This invaluable guide pairs each standard with one or more classroomready activities and suggestions for variations and extensions. Covering a range of abilities and learning styles, these activities bring the Common Core Math Standards to life as students gain fluency in math communication and develop the skillset they need to tackle successively more complex math courses in the coming years. Make math anxiety a thing of the past as you show your students how they use math every day of their lives, and give them the cognitive tools to approach any math problem with competence and confidence.
The Common Core Standards define the knowledge and skills students need to graduate high school fully prepared for college and careers. Meeting these standards positions American students more competitively in the global economy, and sets them on a track to achieve their dreams. This book shows you how to teach the math standards effectively, and facilitate a deeper understanding of math concepts and calculations.
 Help students apply their understanding of math concepts
 Teach essential abstract and critical thinking skills
 Demonstrate various problemsolving strategies
 Lay a foundation for success in higher mathematics
The rapid adoption of the Common Core Standards across the nation has left teachers scrambling for aligned lessons and activities. If you want to bring new ideas into the classroom today, look no further. Teaching Common Core Math Standards with HandsOn Activities is the high school math teacher's solution for smart, engaging Common Core math.
Table of Contents
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
NRN.1 2
Activity: Understanding Integer and Rational Exponents 2
NRN.2 3
Activity: Finding the Values of Expressions 3
NRN.3 4
Activity: Sums and Properties of Rational and Irrational Numbers 5
Quantities 6
NQ.1 7
Activity: A Recommendation for the Boss 7
NQ.2 8
Activity: Defining Appropriate Quantities 8
NQ.3 10
Activity: Determining Levels of Accuracy in Measurement 10
The Complex Number System 11
NCN.1 11
Activity: Classifying Complex Numbers 11
NCN.2 13
Activity: Operations with Complex Numbers 13
NCN.7 14
Activity: Matching Roots 14
Reproducibles for Section 1: Number and Quantity
NRN.1: The Meaning of Rational Exponents 16
NRN.2: Equations and Their Values. 17
NRN.3: Proving the Sum of Two Rational Numbers Is Rational 18
NRN.3: Proving the Sum of Rational and Irrational Numbers Is Irrational 19
NQ.1: Guidelines for Choosing a Delivery Vehicle 20
NQ.2: Defining Appropriate Quantities for Problem Solving 21
NCN.1: Graphic Organizer for Complex Numbers 22
NCN.2: Complex Number Cards—Solutions and Problems 23
NCN.7: Quadratic Equations and Their Roots. 24
SECTION 2: STANDARDS AND ACTIVITIES FOR ALGEBRA 25
Seeing Structure in Expressions 26
ASSE.1 26
Activity: Interpreting Expressions 26
ASSE.2 27
Activity: Rewriting Expressions 28
ASSE.3 29
Activity: Expressions and Equivalent Forms 29
ASSE.4 30
Activity: Deriving a Formula 30
Arithmetic with Polynomials and Rational Expressions 32
AAPR.1 32
Activity: Pick the Polynomial 32
AAPR.2 33
Activity: Solving a Division Puzzle 34
AAPR.3 35
Activity: Matching Functions, Graphs, and Zeroes of a Function 35
AAPR.4 36
Activity: Proving the Polynomial Identity 36
AAPR.6 38
Activity: Mistakes in Rational Expressions 38
Creating Equations39
ACED.1 39
Activity: Creating Equations and Inequalities 40
ACED.2 41
Activity: Creating and Graphing Equations 41
ACED.3 43
Activity: Pricing TShirts 43
ACED.4 44
Activity: Rearranging Formulas and Equations 44
Reasoning with Equations and Inequalities 45
AREI.1 45
Activity: Organizing the Steps for Solving Equations 46
AREI.2 47
Activity: Solving Equations 47
AREI.3 48
Activity: What’s the Solution? 49
AREI.4 50
Activity: Racing to Solve Quadratic Equations 50
AREI.5 51
Activity: Solving a System of Equations 51
AREI.6 52
Activity: Solving Systems in Many Ways 53
AREI.7 54
Activity: Solving Systems of Equations 54
AREI.10 56
Activity: Tracing Equations 56
AREI.11 57
Activity: Selecting Pairs of Equations with the Same Solutions 57
AREI.12 58
Activity: Identifying Solutions through Graphing 59
Reproducibles for Section 2: Algebra
ASSE.1: The Expressions Game 61
ASSE.2: Identifying and Rewriting Expressions 62
ASSE.3: Expressions and Equivalent Forms Cards 63
ASSE.4: Identifying Errors in a Derived Formula 64
AAPR.1: Polynomial Cards 65
AAPR.2: Polynomial Division Cards 66
AAPR.3: Finding Your Match, I 67
AAPR.3: Finding Your Match, II 68
AAPR.6: Correcting Mistakes in Rational Expressions 69
ACED.1: Which One Does Not Belong? 70
ACED.2: Word Problems, Equations, and Graphs 71
ACED.3: TShirts for the Math Club 72
ACED.4: Formula and Equation Cards 73
AREI.1: Equation and Step Cards 74
AREI.2: Rational and Radical Equation Problem Cards 75
AREI.3: Equation and Inequality Cards 76
AREI.4: Quadratic Equations and Score Sheet 77
AREI.5: Steps for Solving a System of Equations 78
AREI.6: Task Cards for Solving Systems of Linear Equations 79
AREI.7: Task Cards for Equations and Solutions 80
AREI.10: Tracing Equations with Graphing Calculators 81
AREI.11: Equations and Solutions 82
AREI.12: Solving Inequalities and Systems of Inequalities by Graphing 83
SECTION 3: STANDARDS AND ACTIVITIES FOR FUNCTIONS 84
Interpreting Functions 85
FIF.1 85
Activity: Identifying Functions 85
FIF.2 86
Activity: Grouping Rules, Inputs, and Outputs 86
FIF.3 87
Activity: Figurate Numbers 87
FIF.4 89
Activity: Finding Similarities and Differences in Functions 90
FIF.5 92
Activity: Recognizing Functions 92
FIF.6 93
Activity: Matching Functions, Tables, and Average Rates of Change 93
FIF.7 95
Activity: Making a Function Booklet 96
FIF.8 97
Activity: Writing Functions in Equivalent Forms 97
FIF.9 99
Activity: Comparing Functions 99
Building Functions 100
FBF.1 101
Activity: Writing Functions 101
FBF.2 102
Activity: The Game of Arithmetic and Geometric Sequences 102
FBF.3 104
Activity: Matching Functions with Their Graphs 104
FBF.4 105
Activity: Finding the Inverse of a Function—Bingo 106
Linear, Quadratic, and Exponential Models 107
FLE.1 107
Activity: Modeling Linear and Exponential Functions 108
FLE.2 109
Activity: Constructing Linear and Exponential Functions 110
FLE.3 111
Activity: Analyzing Exponential and Polynomial Functions 111
FLE.4 112
Activity: Logarithmic and Exponential Equations 112
FLE.5 113
Activity: Interpreting Parameters of Functions 113
Trigonometric Functions 115
FTF.1 115
Activity: Understanding Radian Measure 115
FTF.2 116
Activity: Trigonometric Functions and the Unit Circle 116
FTF.5 117
Activity: Modeling Monthly Precipitation 117
FTF.8 119
Activity: Proving and Applying the Pythagorean Identity 119
Reproducibles for Section 3: Functions
FIF.2: Function Cards 121
FIF.4: Function Sets, I 122
FIF.4: Function Sets, II 123
FIF.6: Equations, Tables, and Average Rates of Change Cards, I 124
FIF.6: Equations, Tables, and Average Rates of Change Cards, II 125
FIF.7: A Function Booklet 126
FIF.9: Comparing Function Cards, I 127
FIF.9: Comparing Function Cards, II 128
FBF.2: Arithmetic and Geometric Sequence Game Cards 129
FBF.3: Graphs and Functions 130
FBF.4: Function Bingo Board 131
FBF.4: Functions for Bingo 132
FLE.1: Tables and Rates of Change 133
FLE.2: Information Cards for Linear and Exponential Functions 134
FLE.4: Logarithmic Equation, Exponential Equation, and Solution Cards 135
FTF.1: Drawing an Angle Whose Measure Is 1 Radian 136
FTF.2: Explaining Trigonometric Functions Using the Unit Circle 138
FTF.8: Proving the Pythagorean Identity 139
FTF.8: Angles and Their Quadrants 140
SECTION 4: STANDARDS AND ACTIVITIES FOR GEOMETRY 141
Congruence 142
GCO.1 142
Activity: Drawing and Defining Figures 142
GCO.2 143
Activity: Presenting a MiniLesson on Transformations 143
GCO.3 145
Activity: Carrying a Figure onto Itself 145
GCO.4 146
Activity: Identifying and Defining Transformations 146
GCO.5 147
Activity: Drawing and Identifying Transformations 147
GCO.6 148
Activity: Predicting the Effects of Transformations 149
GCO.7 149
Activity: Identifying Congruent Triangles 150
GCO.8 151
Activity: Congruence and Rigid Motions 151
GCO.9 152
Activity: Proving Theorems about Lines and Angles 152
GCO.10 153
Activity: Proofs about Triangles 153
GCO.11 154
Activity: Proving Theorems about Parallelograms 154
GCO.12 156
Activity: Constructing Geometric Figures 156
GCO.13 157
Activity: Constructing Regular Polygons 157
Similarity, Right Triangles, and Trigonometry 158
GSRT.1 158
Activity: Dilating Lines and Line Segments 159
GSRT.2 160
Activity: Identifying Similar Triangles. 160
GSRT.3 161
Activity: Establishing the AA Criterion for Two Similar Triangles 161
GSRT.4 162
Activity: Proving Theorems about Triangles 162
GSRT.5 164
Activity: Reflecting on Congruence and Symmetry 164
GSRT.6 165
Activity: Exploring the Ratios of Sides in a Right Triangle 165
GSRT.7 166
Activity: Relating the Sine and Cosine of Complementary Angles 166
GSRT.8 167
Activity: Problems, Questions, and Solutions 167
Circles 168
GC.1 169
Activity: Proving All Circles Are Similar 169
GC.2 169
Activity: Eliminating Figures Based on What They Are Not 170
GC.3 171
Activity: Working with Inscribed and Circumscribed Circles 171
GC.5 172
Activity: Critiquing Derivations 172
Expressing Geometric Properties with Equations 173
GGPE.1 173
Activity: Working with Equations 174
GGPE.2 175
Activity: Deriving the Equation of a Parabola 175
GGPE.4 176
Activity: Proving Geometric Theorems with Coordinates 176
GGPE.5 177
Activity: Slopes of Parallel and Perpendicular Lines 177
GGPE.6 178
Activity: Partitioning Line Segments 179
GGPE.7 180
Activity: Graphing and Finding Perimeters and Areas of Polygons 180
Geometric Measurement and Dimension 181
GGMD.1 181
Activity: Presenting a MiniLesson on Formulas 181
GGMD.3 183
Activity: Using Volume Formulas to Solve Problems 183
GGMD.4 184
Activity: CrossSections and Rotations 184
Modeling with Geometry 185
GMG.1 185
Activity: Using Properties of Geometric Shapes 186
GMG.2 187
Activity: A Plan for Recreational Facilities 187
GMG.3 188
Activity: Planning to Build a Garage 188
Reproducibles for Section 4: Geometry
GCO.1: Instructions for Drawing Figures 190
GCO.2: Transformation Tasks 191
GCO.3: Polygons 192
GCO.4: Transformations 193
GCO.5: Figures and Transformations 194
GCO.6: Figures and Images 195
GCO.7: Triangles, Sides, and Angles 196
GCO.8: Identifying Congruent Triangles 197
GCO.9: Proof Prompts 198
GCO.10: Finding the Missing Steps in Proofs about Triangles 200
GCO.11: Steps for Proving Theorems about Parallelograms 203
GCO.12: Construction Task Cards 205
GCO.13: Inscribing Regular Polygons in Circles 206
GSRT.1: Exploring Dilations 207
GSRT.2: Determining if Triangles Are Similar 208
GSRT.3: Drawing Triangles Based on Angle Measures 209
GSRT.4: Proving the Triangle Proportionality Theorem 210
GSRT.4: Proving the Converse of the Triangle Proportionality Theorem 211
GSRT.4: Proving the Pythagorean Theorem by Using Similar Triangles 212
GSRT.6: Ratios of Sides in a Right Triangle 213
GSRT.8: Problems and Solutions 214
GC.1: Going ‘Round in Circles 216
GC.2: A Circle with Segments, Angles, and Triangles 217
GC.3: Inscribed and Circumscribed Circles 218
GC.5: Miguel’s Derivations 219
GGPE.1: Equations of a Circle 220
GGPE.2: Steps for Deriving the Equation of a Parabola 221
GGPE.4: Task Cards and Coordinates 223
GGPE.5: Using Slopes to Write Equations 224
GGPE.6: Endpoints and Ratios 226
GGPE.7: Graphs, Perimeters, and Areas of Polygons 227
GGMD.3: Finding Volume 228
GGMD.4: Statements for the CrossSections and Rotations Game 229
GMG.1: Using Properties of Geometric Shapes to Find Area 230
GMG.2: Township Facts 231
GMG.3: A Plot Plan 232
SECTION 5: STANDARDS AND ACTIVITIES FOR STATISTICS AND PROBABILITY 233
Interpreting Categorical and Quantitative Data 234
SID.1 234
Activity: Representing Data 234
SID.2 235
Activity: Comparing Two Different Data Sets 236
SID.3 236
Activity: Interpreting Data Sets 237
SID.4 238
Activity: Analyzing Test Scores 238
SID.5 239
Activity: Making and Interpreting TwoWay Frequency Tables 239
SID.6 240
Activity: Representing Data on a Scatter Plot 240
SID.7 242
Activity: Identifying Slopes and YIntercepts 242
SID.8 243
Activity: Computing and Interpreting the Correlation Coefficient 243
SID.9 244
Activity: Determining Correlation and Causation 244
Making Inferences and Justifying Conclusions 246
SIC.1 246
Activity: Random Samples and Inferences 246
SIC.2 247
Activity: Simulations and Probability 248
SIC.3 249
Activity: Surveys, Experiments, and Observational Studies 249
SIC.4 250
Activity: Evaluating Sample Surveys and Simulations 250
SIC.5 252
Activity: Comparing Two Treatments 252
SIC.6 253
Activity: Evaluating Reports and Data 253
Conditional Probability and the Rules of Probability 254
SCP.1 255
Activity: Describing Events as Subsets 255
SCP.2 256
Activity: Identifying Events 256
SCP.3 257
Activity: Using Conditional Probability 258
SCP.4260
Activity: Understanding Independence and Conditional Probability 260
SCP.5262
Activity: Explaining Conditional Probability and Independence 262
SCP.6263
Activity: Finding Conditional Probability 263
SCP.7264
Activity: Using the Addition Rule 265
Reproducibles for Section 5: Statistics and Probability
SID.2: Guidelines for Comparing Two Different Data Sets 267
SID.4: Analysis Guidelines 268
SID.5: Examples of TwoWay Frequency Tables 269
SID.5: Survey Questions 270
SID.7: Description, Data, Slope, and YIntercept Cards 271
SID.9: Correlation and Causation Statements 272
SIC.1: Examples of Samples 273
SIC.3: Identifying Surveys, Experiments, and Observational Studies 274
SIC.4: A Sample Survey and Simulation Samples 275
SIC.5: Bean Plant Growth Chart 276
SIC.6: Beach Revenue Data 277
SCP.1: Subsets of a Sample Space 279
SCP.3: Independent and Dependent Events 280
SCP.4: Student Data on Exercising and Dieting 281
SCP.6: Considering Outcomes 282
SCP.7: Using the Addition Rule to Find Probabilities 283
INDEX 285
Author Information
JUDITH A. MUSCHLA has over 25 years of experience as a mathematics educator in South River, New Jersey. She was a member of the New Jersey state Standards Review Panel for the Mathematics Curriculum Content Standards.
GARY ROBERT MUSCHLA is a skilled teacher of middle school math, reading, and writing. He has coauthored several math activity books with Judith Muschla, including Algebra Teacher's Activities Kit, HandsOn Math Projects with Real Life Applications, and Math Starters.
ERIN MUSCHLABERRY teaches mathematics at Monroe Township Middle School in Monroe, New Jersey. This is her eighth collaboration with Judith and Gary Muschla.