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Data Analysis and Probability

Running with Dinosaurs: Computing Running Rates Using Body Measurements, Footprints, and Algebra

3-5, 6-8
Studying the behavior and motion of dinosaurs is obviously a challenge since these creatures are extinct. If researchers wish to examine the running velocity of a dinosaur, they must instead consider other evidence of dinosaur motion and make an indirect estimate. In this lesson, students will play the role of researchers who field test the Alexander Formula—a formula that uses paleontology data to estimate dinosaur running velocities. Students will serve as human analogues, making measurements on themselves, computing predicted running velocities using the Alexander Formula, and calculating their actual running velocities. They will then evaluate the accuracy of the formula by comparing estimated and actual running velocities for the class. 
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Algebra

The Crow and the Pitcher: Investigating Linear Functions Using a Literature-Based Model

6-8
The lesson is based upon Aesop’s fable, “The Crow and the Pitcher,” and involves students making predictions and conducting experiments to determine how many pebbles the crow would need to add to the pitcher in order to bring the water to drinking height. In the course of the investigation, students gain a real-world understanding of linear functions and such concepts as slope, y-intercept, domain, and range.  
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Number and Operations

Drop Zone: Adding Fractions with Like and Unlike Denominators Utilizing Strategy

6-8
In this lesson, students will play card and computer games by adding fractions to make 1. Students will determine how the fractions are related, by first determining what they have and then how much more is needed. Through different interactive games, students will utilize their skills and build upon them to expand their understanding of fractions. Students will be able to determine common denominators and other strategies to add fractions with like and unlike denominators.
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Number and Operations

Chip Trading: Practicing Single-Digit Addition with Colored Chips Representing Ones, Tens, and Hundreds

Pre-K-2, 3-5
This kinesthetic lesson involves using models to practice regrouping and to reinforce place value understanding. Students work together to play games involving bases 10 and 5. Students will also interpret models as numbers. 
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Number and Operations

''Ten''ding the Herd: Counting Large Numbers by Tens and Ones

Pre-K-2
In this lesson, students work at stations where they practice counting large numbers by grouping herds of cows into tens and leftover ones, developing a deeper understanding of place value. The activities involve the use of manipulatives, ten-frames, and the Illuminations online activity Grouping and Grazing. 
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Number and Operations

Expand That Number!: Composing and Decomposing Numbers Using Standard and Expanded Form

Pre-K-2, 3-5
In this lesson, students learn to compose and decompose numbers into the hundreds place as they move from standard form to expanded form and back again. Students explore composing and decomposing numbers using base ten blocks and place value cards.
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Algebra

Times Square: Reinforcing Multiplication Skills Using Factors and Strategy

3-5, 6-8
In this lesson, students use their previous knowledge of multiplication to identify factors and form products. Students will use Illuminations’ Times Table to identify various patterns in a multiplication table. They will then play the Multiple Factors Game and Times Square to reinforce their understanding of factors and multiples.
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Geometry

Flip-n-Slide: Exploring Transformations through Modeling and Computer Games

6-8, 9-12
In this lesson, students will explore reflections, translations and rotations. Students participate in a modeling activity where they will learn the rules for translations and reflections. Then students will practice using these transformations, as well as explore the rules for rotations, in the game Flip-n-Slide on Calculation Nation®.
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Data Analysis and Probability

Prime Time Probability: Using Computer Games to Facilitate Finding Probability of Independent Events

6-8
This lesson integrates finding probability and strategic play in the Calculation Nation® game, Prime Time. Students will work in groups to determine the best movement option, rolling a die, spinning a spinner or flipping a coin, for their first move of the game. Students will calculate the probability of events and use that information as well as logic and reasoning to defend their choice for the best movement option for their first turn in Prime Time.
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Geometry

Exploring with Math Trails: Using Pictures to Expand Students Awareness of the World

3-5
“Where’s the math?” This is a question that can be answered by students as they examine pictures from a virtual math trail. Expanding a student’s awareness of the world is emphasized throughout this activity. As students share thoughts and verbally express ideas, they are able to grow and communicate with other mathematically.