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Number and Operations

What's the (Decimal) Point?: Using Models to Understand Decimal Place Value

3-5
In this lesson, students apply their knowledge of whole number place value to decimal place value by using different blocks to represent one whole. By using blocks other than the unit cube to represent one whole, decimal place value can be explored and understood in a concrete fashion.
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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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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

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

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.
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Number and Operations

Chocolate FACTORy: Finding Factors of Numbers 1 Through 36

3-5
In this lesson students create rectangular arrays to represent sizes of chocolate boxes. They find all of the factors of each number up to 36 and learn the difference between prime and composite numbers. Then they play an online game to practice finding factors for each product up to 36.
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Number and Operations

Fraction Feud: Comparing and Ordering Fractions

3-5
In this lesson, students use fraction bars to explore how to compare sizes of fractions. They conclude with an online Calculation Nation® game called Fraction Feud.
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Geometry

Fair and Square: Using Concrete-Pictorial-Abstract Activities to Maximize Area

3-5, 6-8
Students discover the relationships between area and perimeter as they prep for playing Square Off, a wonderful Calculation Nation® game. This lesson helps students understand the math of area and perimeter, which will help to maximize their scores when playing the game. Creating human-sized rectangles and working with geoboards provide concrete experiences before moving on to pictorial and abstract work with area and perimeter of rectangles.
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Number and Operations

A Squadron of Bugs: Introducing Division with Remainders with a Book

3-5
This hands-on lesson uses the book, A Remainder of One, by Elinor J. Pinczes, to introduce division with remainder. Students will enjoy the story context as they explore different remainder situations and model division with arrays.