Illuminations: Lessons

	All in the Family Comparing One Measure of a Square (Side Length, Diagonal Length, Area, or Perimeter) to Another
	Allow Me 2 Reiterate Finding √2 With a Computer Software Program
	Apple Pi Discovering the Formulas for Circumference and Area
	Bagel Algebra Using Proportional Reasoning For Price Comparisons
	Bean Counting and Ratios Using Sampling to Generate Equivalent Ratios
	Begin With Buttons Exploring Logical And Numerical Relationships
	Body Measurements Finding Length Relationships Between Your Hand, Arm, Neck, Leg, and Other Body Parts
	Building Bridges Extending Problems from Arithmetic to Algebraic Thinking
	Capture - Recapture Using Samples of Beans and Solving Proportions to Find the Population of Birds in a Forest
	Circle Packing Investigating the Geometry of Packing Circles in Real-World Problems
	Corner to Corner Exploring Quadrilaterals, Diagonals, and the Pythagorean Theorem
	Counting the Trains Investigating Patterns That Lead to Functions
	Domain Representations Describing the Domain of a Function with Graphs, Tables, Number Lines, Words, and Symbols
	Exploration of a Balance Observing Relationships between Mass, Length, and Position of a Fulcrum
	Explorations with Chance Examining Fair and Unfair Games
	Exploring Linear Data Modeling Data From Car Repair Costs and Sports Contexts
	Feeding Frenzy Multiplying Recipes and Converting Measurements to Feed Various Groups
	Fishing for the Best Prism Students Use Polydrons to Build Nets and Create the Most Appealing Fish Tank
	Five's a Crowd Using Census Data to Explore Population Density
	Fun with Baseball Stats Using Baseball Cards to Highlight the Connections Between Various Mathematical Concepts
	Geometry of Circles Exploring The Relationship Between Diameter, Circumference, And Area
	Getting into the Electoral College Exploring the Mathematics and Paradoxes of the Election System in the United States
	Golden Ratio Extending the Fibonacci Sequence through an Algebra Exploration
	Graphs from the Unit Circle Making the Connection between Trigonometric Ratios and Graphs of Sine and Cosine Functions
	Grid and Percent It Using a 10 × 10 Grid to Solve Percent Problems
	How Much Is a Million? Using Sampling Techniques to Discern How Big a Million Really Is
	How Tall? Discovering the Correlation between Body Measurements and Height using Linear Regression
	Let's Count to 20 Making Groups of 10 to 20 Objects, Connecting Number Names to the Groups
	Let's Count to 5 Connecting Number Words to Groups of Objects
	Light It Up Using a Mirror and Flashlight to Understand Rational Functions
	Linking Length, Perimeter, Area, and Volume Investigating Ratio, Proportion, Scale Factor, and Similarity Using Various Rectangular Shapes
	Making Sense of Percent Concentrations Using Beads and an Antifreeze Chart to Understand Mixture Problems
	Mars Orbit Using Parametric Equations to Investigate the Relative Orbits of the Planets
	Mathematics and Children's Literature Using Stories as the Context for Mathematical Discovery
	Measuring Up Using Your Own Measurements to Explore Similar Figures
	Modeling Orbital Debris Problems Using Technology to Develop an Understanding of Functions and Modeling
	Order of Operations Bingo Evaluating Expressions to Play Bingo
	Paper Pool Analyzing Numeric and Geometric Patterns
	Paying for Your Wheels The Algebra of Gas Consumption
	Perplexing Parallelograms Using Multiple Strategies to Solve a Problem Involving the Area of Parallelograms
	Pi Line Plot Circumference and Diameter to Determine Pi
	Planning a Trip Creating a Travel Plan by Studying Maps, Considering Possible Routes, and Examining Airfares
	Probability Explorations Exploring Theoretical and Experimental Probability
	Scaling Away Investigating the Effects of Scale Factor
	Seeing Music Investigating How Sine Waves and Frequencies Cause Harmony and Dissonance
	Shedding Light on the Subject Developing and Analyzing Exponential Models For The Behavior of Light Passing Through Water
	Square Circles Using the Side-Perimeter Relationship in Squares to Identify the Diameter-Circumference Relationship in Circles
	Supreme Court Welcome Exploring the Handshake Problem
	Tetrahedral Kites Studying The Relationship Between Linear, Area, And Volume Measures
	The Cost of a Great Looking Floor Determining the Cost of Constructing a Tile Floor Using Pattern Blocks
	The Giant Cookie Dilemma Dividing a Circle in Half by Constructing Concentric Circles
	Understanding Rational Numbers and Proportions Using Real-World Models to Develop Understanding of Fractions, Decimals, Unit Rates, and Proportions
	Venn Diagrams and Logic Using a Visual Approach to Direct, Indirect, and Transitive Reasoning
	Water, Water Comparing Water Usage of Students to Astronauts

Lessons

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