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Data Analysis and Probability

State Names

3-5, 6-8
Using multiple representations, students analyze the frequency of letters that occur in the names of all 50 states.
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Measurement

Finding the Area of Trapezoids

6-8
Students discover the area formula for trapezoids, as well as explore alternative methods for calculating the area of a trapezoid.
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Measurement

Finding the Area of Irregular Figures

6-8
Students will estimate the areas of highly irregular shapes and will use a process of decomposition to calculate the areas of irregular polygons.
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Measurement

Scaling Away

6-8
Students will measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions. Students will then compare the surface area and volume of the original object and the enlarged model.
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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.
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Algebra

Pedal Power

9-12
In this lesson, students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain. 
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Algebra

Caesar Cipher

9-12
In this lesson, students will investigate the Caesar substitution cipher. Text will be encoded and decoded using inverse operations.
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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Measurement

Exploring Measurement, Sequences, and Curves with Stringed Instruments

9-12
Students will measure lengths on stringed musical instruments, and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.

 
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Geometry

Fretting

9-12
In the second lesson of this unit, students will use their discoveries from the first lesson to place frets on a fretless instrument. They will then compare geometric sequences with exponential functions.