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

About This Book About the Authors Acknowledgments Section 1: Standards and Activities for Number and Quantity The Real Number System Activity: Understanding Integer and Rational Exponents Activity: Finding the Values of Expressions Activity: Sums and Properties of Rational and Irrational Numbers Quantities Activity: A Recommendation for the Boss Activity: Defining Appropriate Quantities Activity: Determining Levels of Accuracy in Measurement The Complex Number System Activity: Classifying Complex Numbers Activity: Operations with Complex Numbers Activity: Matching Roots Reproducibles for Section 1: Number and Quantity The Meaning of Rational Exponents Equations and Their Values Proving the Sum of Two Rational Numbers Is Rational Proving the Sum of Rational and Irrational Numbers Is Irrational Guidelines for Choosing a Delivery Vehicle Defining Appropriate Quantities for Problem Solving Graphic Organizer for Complex Numbers Complex Number Cards--Solutions and Problems Quadratic Equations and Their Roots Section 2: Standards and Activities for Algebra Seeing Structure in Expressions Activity: Interpreting Expressions Activity: Rewriting Expressions Activity: Expressions and Equivalent Forms Activity: Deriving a Formula Arithmetic with Polynomials and Rational Expressions Activity: Pick the Polynomial Activity: Solving a Division Puzzle Activity: Matching Functions, Graphs, and Zeroes of a Function Activity: Proving the Polynomial Identity Activity: Mistakes in Rational Expressions Creating Equations Activity: Creating Equations and Inequalities Activity: Creating and Graphing Equations Activity: Pricing T-Shirts Activity: Rearranging Formulas and Equations Reasoning with Equations and Inequalities Activity: Organizing the Steps for Solving Equations Activity: Solving Equations Activity: What's the Solution? Activity: Racing to Solve Quadratic Equations Activity: Solving a System of Equations Activity: Solving Systems in Many Ways Activity: Solving Systems of Equations Activity: Tracing Equations Activity: Selecting Pairs of Equations with the Same Solutions Activity: Identifying Solutions through Graphing Reproducibles for Section 2: Algebra The Expressions Game Identifying and Rewriting Expressions Expressions and Equivalent Forms Cards Identifying Errors in a Derived Formula Polynomial Cards Polynomial Division Cards Finding Your Match, I Finding Your Match, II Correcting Mistakes in Rational Expressions Which One Does Not Belong? Word Problems, Equations, and Graphs T-Shirts for the Math Club Formula and Equation Cards Equation and Step Cards Rational and Radical Equation Problem Cards Equation and Inequality Cards Quadratic Equations and Score Sheet Steps for Solving a System of Equations Task Cards for Solving Systems of Linear Equations Task Cards for Equations and Solutions Tracing Equations with Graphing Calculators Equations and Solutions Solving Inequalities and Systems of Inequalities by Graphing Section 3: Standards and Activities for Functions Interpreting Functions Activity: Identifying Functions Activity: Grouping Rules, Inputs, and Outputs Activity: Figurate Numbers Activity: Finding Similarities and Differences in Functions Activity: Recognizing Functions Activity: Matching Functions, Tables, and Average Rates of Change Activity: Making a Function Booklet Activity: Writing Functions in Equivalent Forms Activity: Comparing Functions Building Functions Activity: Writing Functions Activity: The Game of Arithmetic and Geometric Sequences Activity: Matching Functions with Their Graphs Activity: Finding the Inverse of a Function--Bingo Linear, Quadratic, and Exponential Models Activity: Modeling Linear and Exponential Functions Activity: Constructing Linear and Exponential Functions Activity: Analyzing Exponential and Polynomial Functions Activity: Logarithmic and Exponential Equations Activity: Interpreting Parameters of Functions Trigonometric Functions Activity: Understanding Radian Measure Activity: Trigonometric Functions and the Unit Circle Activity: Modeling Monthly Precipitation Activity: Proving and Applying the Pythagorean Theorem Reproducibles for Section 3: Functions Function Cards Function Sets, I Function Sets, II Equations, Tables, and Average Rates of Change Cards, I Equations, Tables, and Average Rates of Change Cards, II A Function Booklet Comparing Function Cards, I Comparing Function Cards, II Arithmetic and Geometric Sequence Game Cards Graphs and Functions Function Bingo Board Functions for Bingo Tables and Rates of Change Information Cards for Linear and Exponential Functions Logarithmic Equation, Exponential Equation, and Solution Cards Drawing an Angle Whose Measure Is 1 Radian Explaining Trigonometric Functions Using the Unit Circle Proving the Pythagorean Identity Angles and Their Quadrants Section 4: Standards and Activities for Geometry Congruence Activity: Drawing and Defining Figures Activity: Presenting a Mini-Lesson on Transformations Activity: Carrying a Figure onto Itself Activity: Identifying and Defining Transformations Activity: Drawing and Identifying Transformations Activity: Predicting the Effects of Transformations Activity: Identifying Congruent Triangles Activity: Congruence and Rigid Motions Activity: Proving Theorems about Lines and Angles Activity: Proofs about Triangles Activity: Proving Theorems about Parallelograms Activity: Constructing Geometric Figures Activity: Constructing Regular Polygons Similarity, Right Triangles, and Trigonometry Activity: Dilating Lines and Line Segments Activity: Identifying Similar Triangles Activity: Establishing the AA Criterion for Two Similar Triangles Activity: Proving Theorems about Triangles Activity: Reflecting on Congruence and Symmetry Activity: Exploring the Ratios of Sides in a Right Triangle Activity: Relating the Sine and Cosine of Complementary Angles Activity: Problems, Questions, and Solutions Circles Activity: Proving All Circles Are Similar Activity: Eliminating Figures Based on What They Are Not Activity: Working with Inscribed and Circumscribed Circles Activity: Critiquing Derivations Expressing Geometric Properties with Equations Activity: Working with Equations Activity: Deriving the Equation of a Parabola Activity: Proving Geometric Theorems with Coordinates Activity: Slopes of Parallel and Perpendicular Lines Activity: Partitioning Line Segments Activity: Graphing and Finding Perimeters and Areas of Polygons Geometric Measurement and Dimension Activity: Presenting a Mini-Lesson on Formulas Activity: Using Volume Formulas to Solve Problems Activity: Cross-Sections and Rotations Modeling with Geometry Activity: Using Properties of Geometric Shapes Activity: A Plan for Recreational Facilities Activity: Planning to Build a Garage Reproducibles for Section 4: Geometry Construction Task Cards Inscribing Regular Polygons in Circles Exploring Dilations Determining if Triangles Are Similar Drawing Triangles Based on Angle Measures Proving the Triangle Proportionality Theorem Proving the Converse of the Triangle Proportionality Theorem Proving the Pythagorean Theorem by Using Similar Triangles Ratios of Sides in a Right Triangle Problems and Solutions Going 'Round in Circles A Circle with Segments, Angles, and Triangles Inscribed and Circumscribed Circles Miguel's Derivations Equations of a Circle Steps for Deriving the Equation of a Parabola Task Cards and Coordinates Using Slopes to Write Equations Endpoints and Ratios Graphs, Perimeters, and Areas of Polygons Finding Volume Statements for the Cross-Sections and Rotations Game Using Properties of Geometric Shapes to Find Area Township Facts Instructions for Drawing Figures Transformation Tasks Polygons Transformations Figures and Transformations Figures and Images Triangles, Sides, and Angles Identifying Congruent Triangles Proof Prompts Finding the Missing Steps in Proofs about Triangles Steps for Proving Theorems about Parallelograms A Plot Plan Section 5: Standards and Activities for Statistics and Probability Interpreting Categorical and Quantitative Data Activity: Representing Data Activity: Comparing Two Different Data Sets Activity: Interpreting Data Sets Activity: Analyzing Test Scores Activity: Making and Interpreting Two-Way Frequency Tables Activity: Representing Data on a Scatter Plot Activity: Identifying Slopes and Y-Intercepts Activity: Computing and Interpreting the Correlation Coefficient Activity: Determining Correlation and Causation Making Inferences and Justifying Conclusions Activity: Random Samples and Inferences Activity: Simulations and Probability Activity: Surveys, Experiments, and Observational Studies Activity: Evaluating Sample Surveys and Simulations Activity: Comparing Two Treatments Activity: Evaluating Reports and Data Conditional Probability and the Rules of Probability Activity: Describing Events as Subsets Activity: Identifying Events Activity: Using Conditional Probability Activity: Understanding Independence and Conditional Probability Activity: Explaining Conditional Probability and Independence Activity: Finding Conditional Probability Activity: Using the Addition Rule Reproducibles for Section 5: Statistics and Probability Guidelines for Comparing Two Different Data Sets Analysis Guidelines Examples of Two-Way Frequency Tables Survey Questions Description, Data, Slope, and Y-Intercept Cards Correlation and Causation Statements Examples of Samples Identifying Surveys, Experiments, and Observational Studies A Sample Survey and Simulation Samples Bean Plant Growth Chart Beach Revenue Data Subsets of a Sample Space Independent and Dependent Events Student Data on Exercising and Dieting Considering Outcomes Using the Addition Rule to Find Probabilities Index