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Ms. Petrignani's Family Lesson Plan

Objective: To show high school students taking trigonometry an alternative way to measure and find the optimum angle to achieve the greatest distance.

Materials: pencils, graph paper, trigonometric clock (handout) supplied by the teacher, ruler/meter stick, protractor, garden hose with a nozzle attached, and comfortable attire.

Preparation: The students can do this math lab at home with their families. Attach a garden hose to a tap and adjust the flow of H2O to a constant pressure.

Aim: To get students to feel, realize and demonstrate that the starting angle of zero degrees is on the ground.

Methodology: Have the students measure and record the distance along the ground by repeating the process at 10,20,30,45,60,75(etc.) degrees we use from the trigonometric clock. Then record the distance the stream travels in the horizontal direction along the ground. Continue to repeat the process in order to develop a chart and sine graph.

Closure and Evaluation: This math lab could be used as homework extension or even extra credit. The assignment will be a great review of their geometry skills and spacial relationships of abstract to concrete thinking. Outstanding link to trigonometric sine and cosine wavelength graphs. Ask students to question what angle allowed them to achieve the maximum distance? Can you determine which method determined the optimum angle by finding the maximum height of the H2O. If you increase the H20 pressure what effect does it have on the new angle, to achieve a new maximum distance?

Extension: Have students search the website for more hands-on activities as motivators. Have the parents email the teacher comments about the activity, and even have fathers or brothers explain how this math is also related in sports.

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