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Number and Operations

Square Roots Go Rational

6-8
Students recall and model the square root as the length of one side of a square. But what if the square is not a perfect square? This collection of activities explores the square roots of not-so-perfect squares and develops an algorithm to express the not-so-perfect square root as a rational value.
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Data Analysis and Probability

Where is Everybody?

6-8
Using two online activities, students use ratios and percents to compare population density and explore various statistical measures.
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Number and Operations

The Venn Factor

3-5, 6-8
In this lesson, students use a Venn diagram to sort prime factors of two or more positive integers. Students calculate the greatest common factor by multiplying common prime factors and develop a definition based on their exploration.
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Algebra

Deep Sea Duel

3-5, 6-8
This strategy game requires you to select cards with a specified sum before your opponent (also available on iOS and Android).
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Data Analysis and Probability

Dynamic Paper

Pre-K-2, 3-5, 6-8, 9-12

Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? You can create all those things and more! Place the images you want, then export it as a PDF or as a JPG image.

Factorize
Number and Operations

Factorize

3-5, 6-8
Dividing Numbers into Two Factors and Building Arrays to Represent Each Factorization
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Number and Operations

Fraction Models

3-5, 6-8
Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area, region, and set models.
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Algebra

Join the Club: Identifying and Combining Like Terms

6-8

In this lesson, students learn the definition of like terms and gain practice in identifying key features to sort and combine them. Most middle school students are adept at recognizing the nuances of dress and manner that identify groups and cliques among their peers. This lesson applies the observation and sorting skills that students already possess to the important task of identifying and combining like terms. Students will play the game Ker-Splash and derive rules for working with like terms. 

 

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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

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.