Curriculum Design Mathematics -- Trigonometry Essay

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Activity -- Work through the rock face problem as a class using an overhead or projector. Ask for input on alternatives to this set of functions? Ask for, and brainstorm other measurements in which we can try our new method (e.g. measurement without a measurement tool).

2. Working on the concept of ratios. Using the measurement skills from Activity 1, students will calculate measurement and ratios to find patterns of sides of a triangle. This will develop the concepts of sine, cosine, and tangent ratios of angles. Students should have a basic concept of ratio, be able to convert fractions to decimals up to three places and be able to measure the length of sides of a triangle.

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Divide class into 4 groups, each group will have a set of triangles copied on colored paper. The triangles should be cut and set aside. Class will also need three large charts (one for each ratio (opp/hyp, adj/hyp and opp/adj) for graphs. Sin, Cos, and Tan will be introduced toward end of lesson.

Step 1 -- Show students a large right-angled triangle with one angle marked:

Review Pythagorean Theorem and point out opposite and adjacent sides in relation to the marked angle

Discuss and review the meaning of the words opposite and adjacent in the context of this lesson example

Practice labeling right-angled triangles from the board.....

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