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Tetrahedral Kites

6-8, 9-12
Each student constructs a tetrahedron and describes the linear, area and volume measurements using non‑traditional units of measure. Four tetrahedra are combined to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed.

Mix It Up

9-12
In this lesson, students will use two colors of beads to form two different percent mixes, and then form a final mix using scoops from the two mixes. From this tactile start, students will develop and use a formula to determine the final percent mix from two source mixtures.

Barbie Bungee

6-8, 9-12
The consideration of cord length is very important in a bungee jump—too short, and the jumper doesn’t get much of a thrill; too long, and ouch! In this lesson, students model a bungee jump using a Barbie® doll and rubber bands. The distance to which the doll will fall is directly proportional to the number of rubber bands, so this context is used to examine linear functions.

Armstrong Numbers

6-8, 9-12
An Armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits. In this lesson, students will explore Armstrong numbers, identify all Armstrong numbers less than 1000, and investigate a recursive sequence that uses a similar process. Throughout the lesson, students will use spreadsheets or other technology.

9-12
Instead of considering the diagonals within a quadrilateral, this lesson provides a unique opportunity: students start with the diagonals and deduce the type of quadrilateral that surrounds them. Using an applet, students explore certain characteristics of diagonals and the quadrilaterals that are associated with them.

Triangle Classification

9-12
This lesson is based on the Triangle Classification problem, in which students attempt to classify the triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment.

Hospital Locator

9-12
Students begin with a problem in a real-world context to motivate the need to construct circumcenters and then incenters of triangles and to make sense of these constructions in terms of bisecting sides and angles.

Successive Discounts

9-12
In this lesson, students will examine numeric, algebraic, and graphical representations of compositions of function in the context of successive discounts at a retail store.

Growth Rate

9-12
Given growth charts for the heights of girls and boys, students will use slope to approximate rates of change in the height of boys and girls at different ages. Students will use these approximations to plot graphs of the rate of change of height vs. age for boys and girls.

National Debt and Wars

9-12
Students will collect information about the National debt, plot the data by decade, and determine whether an exponential curve is a good fit for the data. Then student groups will determine and compare common traits and differences in changes in the National debt in three major eras: the Civil War, World War I, and World War II.