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Geometry

Finding Lines of Symmetry

3-5
Students identify lines of symmetry and congruent figures. They explore these concepts with paper cutting and modeling on the geoboard.
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Geometry

Who Was Wassily Kandinsky?

3-5
This lesson provides students with an exploration of the geometric figures Wassily Kandinsky used in his art. Students participate in a scavenger hunt to become familiar with Kandinsky’s works and the geometric figures used in his paintings.
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Geometry

Seeing Geometry in Art

3-5
Students use paintings studied in the previous lesson to connect their knowledge of geometric shapes and terms with Kandinsky’s use of geometric figures.
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Geometry

Mirroring Kandinsky

3-5
This lesson allows students to apply what they have learned in previous lessons by designing their own art. Students use Kandinsky’s style of art and their own creativity to make paintings that reflect their understanding of geometry.
Algebra

In Balance

Pre-K-2
In this lesson, students have an opportunity to explore the foundations of equivalence, an important step in their development of algebraic thinking as they see how quantities relate. Students explore equivalence by comparing weights of different collections of objects.
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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Algebra

Commutative Rectangle

6-8
Students typically learn about the concepts of identity, inverse, commutativity, and associativity by exploring the four basic operations (+, –, ×, and ÷) with integers. In this lesson, students investigate these concepts using a geometric model. Moves are performed with a rectangle, and the results of an operation that combines two moves are analyzed. Students determine if the operation is commutative or associative; if an identity element exists; or if there are inverses for any of the moves.
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Geometry

The Plus Sign and Triangle

6-8
Using a scheme similar to the one in the Rectangle lesson of this unit, students will further explore the concepts of identity, inverse, and commutative and associative properties. Students investigate and analyze moves performed with a plus sign, and an online activity is available to help students with this investigation.
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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.
Data Analysis and Probability

Taking Its Toll

6-8
In this lesson, students will compare the price of a toll to the distance traveled. Students will investigate data numerically and graphically to determine the per-mile charge, and they will predict the cost if a new tollbooth were added along the route.