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Algebra

Stability in Numbers

3-5
In this lesson, students apply their knowledge of addition equations to create number sentences using an electronic balance tool.
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Geometry

Building A Box

3-5, 6-8
This lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Students help Emma determine how many different nets are possible and then analyze the resulting cubes.
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Algebra

Petals Around the Rose

3-5
A puzzle involving five dice and a non-standard pattern is used to promote problem-solving skills.
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Data Analysis and Probability

Sticks and Stones

3-5, 6-8
Students will play Sticks and Stones, a game based on the Apache game "Throw Sticks," which was played at multi-nation celebrations. Students will collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game.
Measurement

Sizing Up

3-5
Students will use measurement to investigate where clothing sizes come from, and to explore how sizes differ between companies and countries.
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Number and Operations

Clowning Around

Pre-K-2
In this lesson, students are encouraged to discover all of the combinations for a given situation. Students apply problem-solving skills (including elimination and collection of organized data) to draw their conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.
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Number and Operations

Factor Game

3-5, 6-8
The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
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Algebra

Chairs Around The Table

3-5
Students investigate the number of chairs that can be placed around an arrangement of square tables. Three related problems in this lesson yield different linear relationships for students to discover.
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Measurement

How Long? How Wide? How Tall? How Deep?

3-5

In this lesson, students use historical nonstandard units (digits, hand, cubit, yard, foot, pace, fathom) to estimate the lengths of common objects and then measure using modern standard units. They will discover the usefulness of standardized measurement units and tools.

Many students have not had enough experiences with nonstandard units and therefore have an incomplete understanding of measurement. This lesson provides more of these experiences as well as a bridge into familiar standard units of measuring length. Interested teachers could also connect this lesson to information about measurement in many ancient cultures.

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Geometry

Getting to Know the Shapes

3-5
In this lesson, students discover the uses of geometry and measurement in the world of architecture as they are introduced to the clubhouse project.