| | Organizing and Preparing a Luncheon |  |  |
| | Using The Three Little Pigs and Cinderella to Recognize Similar Characteristics |  |    |
| Using Population Pyramids and Creating Graphs of State Population Data |  |  |
| Discovering the Polygon Angle Sum Formula through Investigation
|  |   |
| | A Lesson in Combinations |  |  |
| | Finding and Using Numbers at the Airport |  |  |
| Investigating the Commutative and Associative Properties Using Geometric Shapes |  |   |
| Exploring the Meanings and Representations of Multiplication |  |  |
| Comparing One Measure of a Square (Side Length, Diagonal Length, Area, or Perimeter) to Another |  |   |
| | Finding √2 With a Computer Software Program |  |  |
| | Sorting and Organizing Buttons and Using Representations to Display Data |  |  |
| Discovering the Formulas for Circumference and Area |  |  |
| | Learning About Symmetry and Transformation with an Ancient Greek Puzzle, the Stomachion |  |   |
| | Measuring Surfaces in a Classroom to Estimate the Cost of Refinishing
|  |  |
| Using (A = l × w) to Discover the Area Formulas for Triangles, Parallelograms, and Trapezoids |  |  |
| | Understanding Modular Arithmetic With Analog Clocks (and Other Real-World Examples) |  |   |
| | Investigating Number Patterns Using Technology |  |  |
| | Comparing Height and Graphing Change Over Time |  |    |
| | Can It Be? |  |  |
| | Doubling and Halving Numbers |  |   |
| | Using Proportional Reasoning For Price Comparisons |  |  |
| Comparing Weights Using a Pan Balance |  |  |
| | Using Subtraction to Create and Explore Bar Graphs |  |   |
| | Using Sampling to Generate Equivalent Ratios |  |  |
| | Exploring Logical And Numerical Relationships |  |   |
| | 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 |  |   |
| | Finding Length Relationships Between Your Hand, Arm, Neck, Leg, and Other Body Parts |  |  |
| Discovering Linear Relationships Between Time and Number of Bounces |  |  |
| Simulating Probability Situations Using Box Models |  |  |
| | Extending Problems from Arithmetic to Algebraic Thinking |  |  |
| | Making Connections Among Different Classes of Polynomial Functions |  |  |
| | Measuring Tall Objects using Triangles and Discussing Measures of Central Tendency
|  |   |
| An Exploration of the Properties of Triangles |  |   |
| | Sorting and Classifying Buttons |  |  |
| | 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 |  |  |
| Investigating the Geometry of Packing Circles in Real-World Problems |  |  |
| | Solving the Mangoes Problem and Sailors and Coconuts in Several Different Ways |  |   |
| | Discovering Combinations |  |  |
| Exploring Number Concepts through Cryptology |  |   |
| | Examining How Area and Volume Affect Energy Absorption of Rectangular Prisms |  |    |
| Counting the Possibilities for Ice Cream Cones and Outfits |  |  |
| Using a Bar Graph to Subtract
|  |    |
| Exploring Five Subtraction Models — Counting, Sets, Number Line, Balanced Equations, and Inverse of Addition |  |  |
| Exploring Quadrilaterals, Diagonals, and the Pythagorean Theorem |  |   |
| | Determining How Many Squares of Any Size are on a Checkerboard |  |   |
| | Look for Patterns and Forming Generalizations |  |  |
| | Investigating Patterns That Lead to Functions |  |   |
| | Creating Larger, Similar Figures With Tesselations |  |  |
| | Creating Three-Digit Number Combinations |  |   |
| | Investigating Relationships in Growing and Repeating Patterns |  |  |
| | Exploring Changing from a Cylinder to a Rectangular Prism while Keeping the Volume Constant |  |   |
| | Using Cubes to Develop Spatial Thinking |  |  |
| Investigating Conic Sections using a Double-Napped Cone
|  |   |
| | Analyzing Data About School Lunches Using the Mean, Mode, and Median |  |  |
| | A Unique Way to Review Plotting Points |  |   |
| | Determining an Appropriate Function to Fit Data |  |   |
| Exploring the Relationship Between Diagonals and Quadrilaterals |  |  |
| | Exploring Arithmetic Sequences, Leading to the Factoring Pattern for the Difference of Squares |  |  |
| | Understanding and Solving Linear Programming Problems |  |  |
| | Representing Area of a Rectangle Using the Distributive Property |  |   |
| | Constructing Perpendicular Bisectors and Circumcenters to Explore Delivery Regions
|  |   |
| | Investigating Inverse Variation |  |  |
| Exploring Four Addition Models — Counting, Number Line, Sets, and Balanced Equations |  |  |
| Exploring the Dynamics of Sound Waves |  |  |
| | Describing the Domain of a Function with Graphs, Tables, Number Lines, Words, and Symbols |  |  |
| | Representing Data with Tallies, Pictographs, Bar and Circle Graphs, Line and Box-and-Whisker Plots, and Glyphs |  |  |
| | Students will represent quadratic functions as a table, with a graph, and with words. |  |  |
| | Relating Linear Equations and Graphs in a Game of Ships and Attacks
|  |  |
| | Answering The Question, "When Will I Ever Need To Solve A System Of Equations?" |  |  |
| Building Algebraic Understanding |  |  |
| | Observing Relationships between Mass, Length, and Position of a Fulcrum |  |   |
| | Examining Fair and Unfair Games |  |  |
| Using Expressions and Equations on the Pan Balance Tool |  |  |
| Using a Data Analysis Tool to Examine Mean, Median, and Standard Deviation |  |  |
| 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 |  |  |
| Distinguishing Between Numbers With Many Factors and Numbers With Few Factors |  |  |
| | Using a Game to Help Students Practice Factoring |  |  |
| | Multiplying Recipes and Converting Measurements to Feed Various Groups
|  |  |
| Using Number Representations to Find the Strategy for Various Nim Games |  |    |
| | Using Cuisenaire Rods to Build Trains, Investigate Patterns, and Make Algebraic Connections |  |  |
| | Analyzing Graphical Information from Sports |  |  |
| Using Hands-On Activity to Develop Understanding of Time and Distance |  |   |
| | Exploring Two-Dimensional Space While Navigating the Coordinate Plane |  |  |
| Students Use Polydrons to Build Nets and Create the Most Appealing Fish Tank
|  |   |
| | Using Census Data to Explore Population Density |  |   |
| Representing and Describing Survey Data in a Variety of Ways |  |  |
| | Using Algebraic Thinking to Discover Properties of Addition |  |   |
| | Estimating and the Super Bowl |  |  |
| Using a Clothesline to Understand Fractions Greater and Less Than One
|  |  |
| | Using Baseball Cards to Highlight the Connections Between Various Mathematical Concepts |  |  |
| | Developing the Length Model |  |  |
| Developing the Set Model |  |   |
| | Developing the Region Model |  |  |
| | Using Manipulative Blocks and Counters to Explore Equations such as 3x = 2x + 12
|  |  |
| Exploring Three-Dimensional Shapes |  |  |
| Using the Works of Wassily Kandinsky to Exemplify Geometric Shapes |  |  |
| | Exploring The Relationship Between Diameter, Circumference, And Area |  |   |
| Using Geometry and Measurement Concepts to Create Paths |  |   |
| Exploring the Mathematics and Paradoxes of the Election System in the United States |  |    |
| | Extending the Fibonacci Sequence through an Algebra Exploration |  |  |
| | Investigating Data about Recyclable Materials and Planning to Help the Environment |  |   |
| | Making the Connection between Trigonometric Ratios and Graphs of Sine and Cosine Functions
|  |  |
| | Using a 10 × 10 Grid to Solve Percent Problems |  |  |
| | Using Slope to Approximate Rate of Change on a Graph |  |    |
| | Determining the Equation of a Parabola |  |  |
| | Using Volume and Unit Rates to Determine Best Values for Hay Bales
|  |   |
| | Exploring Important Heart Facts |  |  |
| Creating a Box‑and‑Whisker plot Using Height Data |  |   |
| | Exploring the Number 5 |  |  |
| | Identifying Number Patterns |  |  |
| Constructing a Scale Drawing of a Regulation Dartboard Using Geometry and Measurement |  |   |
| Using Incenters and Circumcenters to Solve Real-World Problems |  |  |
| | Connecting Science and Math by Exploring Your Own Heart |  |   |
| | Ordering, Comparing, and Writing Census Data in Multiple Ways |  |  |
| | Using Historical Units of Measure (Body Parts) to Find Length |  |  |
| Exploring Five Representations of Subtraction |  |  |
| | Measuring Distance with Standard and Nonstandard Units |  |   |
| | Using Sampling Techniques to Discern How Big a Million Really Is |  |  |
| 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 |  |  |
| | Using Graphs to Analyze Information and Make Predictions |  |  |
| | Learning Percents by Purchasing Everyday Classroom Supplies |  |  |
| | Exploring Patterns, Systems of Equations, and Rates of Change While Finding the Area of a Triangle |  |   |
| | Recognizing, Constructing, and Identifying Triangles |  |  |
| | Exploring the Concepts of Greater Than, Less Than, and Equal To |  |   |
| | Learning the Names of Solid Geometric Shapes and Exploring Their Properties |  |  |
| | Designing Your Dream Clubhouse Using Measurement and Geometry |  |   |
| | Using Nonstandard Units to Measure Length |  |  |
| | Discovering Formulas for Triangle Measure |  |  |
| | Understanding Vectors with Dynamic Geometric Representations |  |  |
| | Interpreting the Real-Life Meaning of Graphical Representations of Data |  |  |
| 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 |  |  |
| Using a Mirror and Flashlight to Understand Rational Functions |  |  |
| | Points in the Coordinate Plane |  |  |
| | Exploring Linear Equations using Polygons on a Graphing Calculator
|  |   |
| | Investigating Ratio, Proportion, Scale Factor, and Similarity Using Various Rectangular Shapes |  |  |
| Exploring Subtraction Properties with Five Models of Subtraction |  |  |
| Exploring Distances to the Sides in a Regular Polygon |  |  |
| | Increasing the Flight Distances of Paper Airplanes |  |  |
| Collecting Data and Displaying It With Tally Marks, Pictographs, Bar Graphs, and Glyphs |  |  |
| Exploring "Take Away" Subtraction in Several Different Contexts |  |  |
| | Exploring Magic Squares from an Historical and Mathematical Perspective |  |   |
| | 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 |  |  |
| | Using Stories as the Context for Mathematical Discovery |  |   |
| | Investigating Data in Connection with Recyclable Materials and Developing Plans to Help the Environment |  |   |
| | Analyzing Information Represented Graphically |  |  |
| | Graphing Information Collected Over Time |  |  |
| | Using Your Own Measurements to Explore Similar Figures |  |   |
| | Using Technology to Develop an Understanding of Functions and Modeling |  |  |
| | Using Movement to Analyze Linear Functions and Systems of Equations |  |  |
| | Using Algebra to Model Linear Relationships |  |  |
| Using the Properties of Multiplication to Master the Multiplication Facts |  |  |
| | Exploring Integers Using the Forward and Rewind Features |  |  |
| | Creating a Map of a Pet |  |   |
| | Curve-Fitting, Exponential Growth, and Percent Change |  |  |
| | Exploring the Relationship Between Pennies, Nickels, Dimes, Quarters, and Examining Combinations |  |   |
| | Discussing, Describing, Reading, and Writing Numbers to Help Develop Number Sense |  |  |
| Getting to Know Your Classmates |  |  |
| Collecting, Organizing, and Displaying Data to Answer Questions |  |   |
| Using Measurement to Design A Fire-Wise Property |  |     |
| Seeing to the Horizon from the Top of Mount Everest |  |   |
| | How Knowledge of Exponential Growth Can Feed a Village |  |  |
| | Determining Altitude and Velocity |  |   |
| | Evaluating Expressions to Play Bingo |  |  |
| Analyzing Numeric and Geometric Patterns |  |   |
| | Using Translation, Reflection, Rotation, and Line Symetry to Make Four-Part Quilt Squares |  |   |
| | Investigating Properties of Perimeter and Area of Two‑Dimensional Shapes |  |    |
| Extending Number and Shape Patterns |  |  |
| | The Algebra of Gas Consumption |  |    |
| | Interpreting Slope as a Rate of Change |  |  |
| Using Multiple Strategies to Solve a Problem Involving the Area of Parallelograms |  |  |
| | Identifying Patterns in a Dice Game |  |  |
| Bringing Archimedes’ Method to Life in the Geometry Classroom |  |   |
| | Plot Circumference and Diameter to Determine Pi |  |    |
| | 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. |  |  |
| | Investigating the Geometry of an Origami Octagon that Changes Shape |  |   |
| | Measuring Distances |  |   |
| | Gathering, Representing, and Interpreting Data About Pizza Choices |  |  |
| | Exploring Maximum Area with a Set Perimeter and Obstacles
|  |   |
| | Creating a Travel Plan by Studying Maps, Considering Possible Routes, and Examining Airfares |  |  |
| | Developing concepts of Measurement and Statistics |  |   |
| | Solving Puzzles to Strengthen Understanding of Expanding and Factoring Polynomials
|  |  |
| | Exploring Volume using Differently Shaped Popcorn Containers |  |   |
| 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 |  |  |
| Calculating Compound Interest with Savings Accounts and Credit Cards
|  |  |
| | Exploring the Relationships Among Lines, Slopes, and y‑Intercepts in the Context of Printing Their Algebra Textbooks |  |  |
| Exploring Theoretical and Experimental Probability |  |  |
| | Using Tangram Puzzles to Explore Spatial Relationships |  |   |
| | 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 |  |  |
| | Examining the Properties of Two-Dimensional Shapes |  |  |
| | Creating Graphs and Rules from an Organized Chart |  |     |
| | Using Tally Tables and Bar Graphs to Learn About the Four Forces of Flight |  |   |
| | Using Right Triangles to Determine the Slope of a Line |  |  |
| | Investigating the Traveling Salesperson Problem
|  |  |
| Investigating the Effects of Scale Factor |  |  |
| | Exploring Measurement While Researching And Planning A Diving Trip |  |    |
| | Exploring the Minimum Number of Security Cameras Needed to Monitor a Room
|  |  |
| | Investigating How Sine Waves and Frequencies Cause Harmony and Dissonance |  |  |
| | 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 |  |  |
| Memorizing Products When 6 or 7 Is A Factor |  |  |
| | Investigate Clothing Sizes Between Companies and Countries |  |  |
| | Examining the Factors that Influence a Forest-Fire Danger Rating Index |  |  |
| Identifying and Classifying Polygons According to Various Attributes |  |   |
| | Using the Side-Perimeter Relationship in Squares to Identify the Diameter-Circumference Relationship in Circles |  |  |
| Using Dynamic Geometry Software to Discover the Law of Cosines |  |   |
| | Representing Square- and Cube-Root Equivalences with Geometric Arrangements |  |  |
| Using Information about the 50 States as Data |  |  |
| | Investigating Real-World Data |  |  |
| | Examining the Famous "Monty Hall Problem" |  |  |
| | Examining Numeric, Algebraic, and Graphical Representations of Composition of Functions |  |  |
| | 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 |  |  |
| | Investigating Rotations and Their Properties |  |  |
| | Investigating Reflections and Their Properties |  |  |
| | Investigating Translations and Their Properties |  |  |
| | Investigating Glide Reflections and Their Properties |  |  |
| | Introducing Young Children to Subtraction |  |  |
| | Examining the Relationship Between Tolls and Distance |  |   |
| | Choosing a Prepaid Cell Phone Plan Using Systems of Equations
|  |  |
| | Developing Geometric Understanding and Spatial Visualization Skills |  |  |
| | Studying The Relationship Between Linear, Area, And Volume Measures |  |  |
| | Exploring Applications Involving the Heart |  |   |
| Determining the Cost of Constructing a Tile Floor Using Pattern Blocks |  |    |
| Calculating the Impact of an Outstanding Balance and Interest Rates |  |  |
| | Examining a Recursive Sequence in a Game Between the Devil and Daniel Webster |  |  |
| Dividing a Circle in Half by Constructing Concentric Circles
|  |   |
| | Predicting When the World Population Will Reach 7 Billion |  |   |
| Discovering the Relationship Between Products and Factors |  |  |
| Fitting Lines and Curves to Data |  |  |
| | Using Letters in Words to Represent Addends of a Sum |  |  |
| | Problem Solving using Systems of Equations
|  |  |
| | Using Presidential Data to Compare Histograms and Bar Graphs |  |  |
| | Finding and Using Numbers at the Toy-Shop |  |  |
| Students will identify and create Frieze patterns using transformations to identify the various classes of Frieze patterns. |  |  |
| | Predicting the Events That Will Happen on Earth While You Travel Through Space
|  |  |
| Using Geometric Theorems to Classify Triangles by Angles and Sides |  |  |
| | Enhancing the Appreciation of Trigonometry as a Problem-Solving Tool |  |  |
| | Using Simulation Software to Examine Two Runners on a Track |  |  |
| | Using Real-World Models to Develop Understanding of Fractions, Decimals, Unit Rates, and Proportions |  |  |
| 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 Visual Approach to Direct, Indirect, and Transitive Reasoning |  |   |
| | Using a Scale to Investigate x‑Intercepts and Negative Slope |  |  |
| | Comparing Water Usage of Students to Astronauts |  |   |
| | Making a Stem-And-Leaf Plot From Weather Data |  |  |
| | Conducting a Sales and Marketing Investigation |  |  |
| | Measuring Heights and Arm Spans |  |   |
| Tiling the Plane with Regular Polygons |  |  |
| Using the Number of Letters in Student Names to Make Graphs and Glyphs |  |  |
| | Explore the Advantages and Disadvantages of Alternative Voting Methods |  |   |