| | Using The Three Little Pigs and Cinderella to Recognize Similar Characteristics |  |    |
| Using Population Pyramids and Creating Graphs of State Population Data |  |  |
| Investigating the Commutative and Associative Properties Using Geometric Shapes |  |   |
| Exploring the Meanings and Representations of Multiplication |  |  |
| | Sorting and Organizing Buttons and Using Representations to Display Data |  |  |
| Investigating Linear Equations using a Real-World Scenario |  |   |
| Discovering the Formulas for Circumference and Area |  |  |
| | Understanding Modular Arithmetic With Analog Clocks (and Other Real-World Examples) |  |   |
| | Comparing Height and Graphing Change Over Time |  |    |
| | Doubling and Halving Numbers |  |   |
| | Using Proportional Reasoning For Price Comparisons |  |  |
| | Using Sampling to Generate Equivalent Ratios |  |  |
| | Exploring Logical And Numerical Relationships |  |   |
| | Creating a McDonald's Meal Plan on the Zone Diet |  |  |
| | Using a Monte Carlo Simulation Performing Graphical Analysis of the Birthday-Problem Function |  |  |
| | Exploring Patterns and Place Value in the Binary System |  |  |
| Weighing Variables to Determine Their Values |  |   |
| Simulating Probability Situations Using Box Models |  |  |
| | Representing Patterns with Shapes and Numbers |  |  |
| | Using Samples of Beans and Solving Proportions to Find the Population of Birds in a Forest |  |  |
| | Exploring the Measurement of Blood Pumped by the Heart |  |  |
| Investigating Linear Patterns |  |  |
| | Applying Modular Arithmetic to Barcodes and Credit Cards |  |  |
| | Discovering Combinations |  |  |
| Exploring Number Concepts through Cryptology |  |   |
| Counting the Possibilities for Ice Cream Cones and Outfits |  |  |
| Exploring Five Subtraction Models — Counting, Sets, Number Line, Balanced Equations, and Inverse of Addition |  |  |
| | Multiplying Matrices to Transform Drawings |  |   |
| Exploring Quadrilaterals, Diagonals, and the Pythagorean Theorem |  |   |
| | Look for Patterns and Forming Generalizations |  |  |
| | Investigating Patterns That Lead to Functions |  |   |
| | Creating Larger, Similar Figures With Tesselations |  |  |
| Investigating Conic Sections using a Double-Napped Cone
|  |   |
| | A Unique Way to Review Plotting Points |  |   |
| | Determining an Appropriate Function to Fit Data |  |   |
| | Understanding and Solving Linear Programming Problems |  |  |
| Exploring Four Addition Models — Counting, Number Line, Sets, and Balanced Equations |  |  |
| Exploring the Dynamics of Sound Waves |  |  |
| Building Algebraic Understanding |  |  |
| | Observing Relationships between Mass, Length, and Position of a Fulcrum |  |   |
| Using Expressions and Equations on the Pan Balance Tool |  |  |
| Playing a Numbers Game to Develop Computational Skills and Conceptual Understanding |  |   |
| Modeling Data From Car Repair Costs and Sports Contexts |  |   |
| Moving from Numeric to Algebraic Notation |  |  |
| | Using a Game to Help Students Practice Factoring |  |  |
| Using Number Representations to Find the Strategy for Various Nim Games |  |    |
| Students Use Polydrons to Build Nets and Create the Most Appealing Fish Tank
|  |   |
| | Using Algebraic Thinking to Discover Properties of Addition |  |   |
| Using a Clothesline to Understand Fractions Greater and Less Than One
|  |  |
| Developing the Region Model |  |  |
| | Developing the Length Model |  |  |
| Using the Works of Wassily Kandinsky to Exemplify Geometric Shapes |  |  |
| | Exploring The Relationship Between Diameter, Circumference, And Area |  |   |
| Exploring the Mathematics and Paradoxes of the Election System in the United States |  |    |
| | Extending the Fibonacci Sequence through an Algebra Exploration |  |  |
| | Using a 10 × 10 Grid to Solve Percent Problems |  |  |
| | Determining the Equation of a Parabola |  |  |
| | Ordering, Comparing, and Writing Census Data in Multiple Ways |  |  |
| Exploring Five Representations of Subtraction |  |  |
| Discovering the Correlation between Body Measurements and Height using Linear Regression
|  |   |
| | Applying Various Mathematical Concepts While Preparing Simple Foods |  |   |
| Using Regression Analysis To Detect Outliers |  |   |
| | Rolling Balls Down Ramps of Varying Lengths and Heights |  |  |
| | Investigating The Relationship Between Sides And Angles In A Triangle |  |  |
| | Recognizing, Constructing, and Identifying Triangles |  |  |
| | Learning the Names of Solid Geometric Shapes and Exploring Their Properties |  |  |
| | Designing Your Dream Clubhouse Using Measurement and Geometry |  |   |
| | Discovering Formulas for Triangle Measure |  |  |
| | Understanding Vectors with Dynamic Geometric Representations |  |  |
| Making Groups of 10 to 20 Objects, Connecting Number Names to the Groups |  |  |
| Connecting Number Words to Groups of Objects |  |  |
| | Playing Games and Using Number Properties to Learn Addition Facts |  |  |
| Exploring Subtraction Properties with Five Models of Subtraction |  |  |
| Exploring Distances to the Sides in a Regular Polygon |  |  |
| | Increasing the Flight Distances of Paper Airplanes |  |  |
| Exploring "Take Away" Subtraction in Several Different Contexts |  |  |
| | Using Objects, Pictures, & Symbols to Measure Length, Area, Volume, Time, & Weight |  |  |
| | Using Common Objects as Benchmark Measurements |  |  |
| Using Beads and an Antifreeze Chart to Understand Mixture Problems |  |  |
| Using Parametric Equations to Investigate the Relative Orbits of the Planets |  |  |
| | Emphasizing the Understanding and Application of Mathematical Terminology with an Interactive Teaching Tool |  |  |
| | Analyzing Information Represented Graphically |  |  |
| | Using Technology to Develop an Understanding of Functions and Modeling |  |  |
| Using the Properties of Multiplication to Master the Multiplication Facts |  |  |
| | Creating a Map of a Pet |  |   |
| Collecting, Organizing, and Displaying Data to Answer Questions |  |   |
| Using Measurement to Design A Fire-Wise Property |  |     |
| | Evaluating Expressions to Play Bingo |  |  |
| Extending Number and Shape Patterns |  |  |
| | The Algebra of Gas Consumption |  |    |
| | Identifying Patterns in a Dice Game |  |  |
| | Collecting Data About the Number Sentences People Associate with a Picture |  |  |
| | Using puzzle pieces to put together formal proofs, from a collection of statements and reasons. |  |  |
| | Creating a Travel Plan by Studying Maps, Considering Possible Routes, and Examining Airfares |  |  |
| Using Dynamic Geometry Software to Investigate the Power of Points With Respect to a Circle |  |  |
| Using Batteries as a Physical Model to Explore the Addition of Signed Numbers |  |   |
| Exploring Patterns from Physical Education, Science, and Social Studies |  |  |
| | Exploring the Relationships Among Lines, Slopes, and y‑Intercepts in the Context of Printing Their Algebra Textbooks |  |  |
| | Determining the Amount of Tax a Family Will Pay Based on a Certain Income |  |   |
| | Working With Fractions and Decimals to Design and Sell a House and Invest the Profits |  |  |
| Investigating the Effects of Scale Factor |  |  |
| | Developing and Analyzing Exponential Models For The Behavior of Light Passing Through Water |  |  |
| | Developing Number Sense at a Shopping Mall |  |    |
| | Finding Functions to Describe Real-World Phenomena |  |  |
| | Investigating Real-World Data |  |  |
| | Finding Sums of 5, 6, 7, and 8 |  |  |
| A Pie Graph review of Fraction, Decimal, and Percent |  |   |
| | Using a System of Linear Equations to finding the Equilibrium Point for Supply and Demand Problems. |  |  |
| | Exploring the Handshake Problem |  |  |
| | Introducing Young Children to Subtraction |  |  |
| | Examining the Relationship Between Tolls and Distance |  |   |
| Calculating the Impact of an Outstanding Balance and Interest Rates |  |  |
| Students will identify and create Frieze patterns using transformations to identify the various classes of Frieze patterns. |  |  |
| Using Geometric Theorems to Classify Triangles by Angles and Sides |  |  |
| | Enhancing the Appreciation of Trigonometry as a Problem-Solving Tool |  |  |
| Explore Polyhedra With Three-Dimensional Representations |  |  |
| Creating and Comparing Box-and-Whisker Plots Using Information from Basketball Statistics |  |   |
| | Exploring Varying Displacement, Velocity, and Acceleration |  |   |
| | Using a Scale to Investigate x‑Intercepts and Negative Slope |  |  |
| | Comparing Water Usage of Students to Astronauts |  |   |
| | Explore the Advantages and Disadvantages of Alternative Voting Methods |  |   |