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Topic 1: Rotational and Bilateral Symmetry, Grades 7-8

(classroom idea 4A, CM, p.51)

*Have students examine logos of
businesses for rotational and bilateral symmetry. Then, using the
computer, design a logo for an area business that is an example of
rotational or bilateral symmetry.*

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Topic 2. Exploring different video rental plans (Math A)

Classroom idea 7C, p. 69 of the Course Materials

*Two video rental clubs offer
two different rental fee plans:*

*Club A charges $12 for
membership and $2 for each rented video.*

*Club B has a $3 membership fee
and charges $3 for each rented video.*

*For what number of video
rentals is it less expensive to belong to club A?*

Download excel environment Video Rentals.

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Topic 3: Quadratic Functions, with application to Projectile Motion, Math B

Classroom idea 2A, CM, p.88, Math B

*Physicists tell us that the
altitude h in feet of a projectile T seconds after
*

*firing is h = -16t^2 + vt +
h where v is the upward component of its initial *

*velocity in feet per second
and h is the altitude in feet from which it is *

*fired. A rocket is launched
from a hilltop 2400 feet above the desert with an *

*initial upward velocity of
400 feet per second. When will it land on the *

*desert? Discuss what the
discriminant can tell you about the solution to this
*

*problem. Then use the
quadratic equation to find the solution and explain your
*

*answer.*

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Topic 4: Trigonometric functions and their graphs

Classroom Idea 5E p. 93 of the Course Materials, Math B

*Sketch four of the six basic
trigonometric functions and their inverses on the graphing calculator
by superimposing each function with its inverse.*

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Topic 5: Bernoulli trials, and binomial probability distribution

(Classroom idea 6D, Math B, Course Materials, p. 96).

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Topic 6. The Tower of Hanoi (see Teaching Secondary Mathematics, p. 263).

Computational environment in Excel.

The Tower of Hanoi web sites:

(http://www.cs.wm.edu/~pkstoc/toh.html)

(http://www.lhs.berkeley.edu/Java/Tower/towerhistory.html)

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Topic 7: Palindromic numbers (an
enrichment unit from the book *Teaching Secondary Mathematics*
by Posamentier and Stepelman)

Computational environments: numeric and graphic.

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Topic 8: Mathematics of Life Insurance

Computational environment: Compound interest.

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Topic 9: Tessellations (see Teaching Secondary Mathematics, p. 343).

Computational environment: Tessellations

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Topic 10: Pythagorean Triples (based on Sergei Abramovich's paper "Revisiting an Ancient Problem Through Contemporary Discourse", School Science and Mathematics, v. 99, #3, 1999 - available at SUNY Potsdam library ).

Computational environments:

Pythagorean triples and Pythagorean triples only.