Lighthouse Initiative for Texas Classrooms

Two Geometry Activities Based on Problem 5

Based on AP* Calculus AB Problem 5, 1995

Geometry Activity 1 Based on AP* Calculus AB, Problem 5, 1995

TEKS addressed: (G.7)(A); (G.8)(A); (G.8)(D); (G.11)(B); (G.11)(C)

This is a good Pre-AP* worksheet because it builds upon and extends skills that students have developed in middle school and Algebra I (using geometric formulas, solving literal equations, symbolic manipulation, function notation) while simultaneously addressing the TEKS listed above for high school geometry. It does so in a way very different from that seen in most textbooks. Most importantly, the context and wording is based upon an actual AP* problem with which the students had difficulty.

Teacher Guide and Answer Key
Student Worksheet

Geometry Activity 2 Based on AP* Calculus AB, Problem 5, 1995

TEKS addressed: (a)(2); (a)(4); (a)(6); (G.1)(B); (G.5)(B)
Vocabulary includes literal equations and delta form of a slope equation.

This makes a good Pre-AP geometry problem because students must apply many concepts in one problem. Teachers may choose to teach parts of this problem at different points during the year. However, if these problems are presented as a unit, students cannot skip the hard problems and still do well on the unit. Teachers may choose to do all or just some of these questions. The goals are to incorporate calculus concepts early and often, to give students glimpses of future learning, and to show them how they will use this concept over the next four years.

Teacher Guide and Answer Key
Student Worksheet

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