3-5, 6-8
Using multiple representations, students analyze the frequency of letters that occur in the names of all 50 states.
6-8
Students discover the area formula for trapezoids, as well as explore alternative methods for calculating the area of a trapezoid.
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.
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.
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.
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.
9-12
In this lesson, students will investigate the Caesar substitution cipher. Text will be encoded and decoded using inverse operations.
3-5
Students will use measurement to investigate where clothing sizes come from, and to explore how sizes differ between companies and countries.
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.
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.