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## Common Core Math Lesson Plan Template

Free Printable Math Lesson Plan for high school sudents.

### Common Core Math Lesson Plan Template Description:

**Lesson Title: Relating sine and cosine of complementary angles**

**Excerpt: Topic Source (page numbers): **Common Core Mathematics, Integrated Pathway Mathematics 2, Unit 5 Core publishers) **Prerequisite / Background Knowledge: **Understanding of triangles, angles, and ratios; introduction to sine and cosine. **Introduction (5 minutes): **Intro, definition of purpose, demonstrations, etc. – Teacher begins with a review of triangles and of right triangles, pointing out that the angle measures in a triangle add to 180 degrees and that the right angle takes up 90 degrees of that, making the other two angles complementary. Teacher reviews “soh cah toa” and definitions of sine and cosine as ratios of lengths of sides of the right triangle. Teacher then demonstrates how the sine of one angle is equal to the cosine of the other angle in the right triangle.

## Common Core Math Lesson Plan Template

Free Printable Math Lesson Plan .

### Common Core Math Lesson Plan Template Description:

**Lesson Title: Use trigonometric ratios and Pythagorean Theory to solve problems with triangles**

**Excerpt: Learning Objective(s): **Students will be able to use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. (G.SRT.8)

**Topic Source (page numbers):**Common Core Mathematics, Integrated Pathway Mathematics 2, Unit 5 Core publishers)

**Prerequisite / Background Knowledge:**Understanding of triangles, angles, and ratios; introduction to sine and cosine, understanding of Pythagorean Theorem

**Guided Practice (20 minutes):**include questioning tactics, engagement strategies and feedback methods – Teacher draws a 30-60-90 triangle with the length of the shortest side being 10cm and demonstrates using sine and cosine functions to calculate the lengths of the other side (17cm) and the hypotenuse (20cm). Teacher draws a flag pole on the board with a 50m rope angling down to the ground, touching 40m away from the base on the flag pole. Teacher demonstrates using Pythagorean Theorem to calculate the height of the flag pole (30m)

**Independent practice / extensions (5 minutes):**Teacher discusses the use of trigonometric functions in the physical sciences, discussing the application of a right triangle to vector quantities. One example: an airplane with forward thrust of x encountering a side wind with a thrust of y, and the need for the airline to calculate the resultant force on the plane.