# Q2, W7 Geometry: December 3-7

Teacher Kristin Andreason Geometry Honors 8 December 3-7 Unit 4: Right Triangles and Trigonometry
Standard(s) Taught

MAFS.912.G-SRT.3.8:  Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

MAFS.912.G-SRT.3.6:  Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

MAFS.912.G-SRT.3.7:  Explain and use the relationship between the sine and cosine of complementary angles.

Learning Targets and Learning Criteria
• Students will demonstrate that within a right triangle, line segments parallel to a leg create similar triangles by angle-angle similarity.
• Students will be able to use characteristics of similar figures to justify the trigonometric ratios.
• Students will define the following trigonometric ratios for acute angles in a right triangle:  sine, cosine, and tangent.
• Students will be able to calculate sine and cosine ratios for acute angles in a right triangle when given two side lengths.
• Students will understand that for a pair of complementary angles A and B in a right triangle, the sine of angle A is equal to the cosine of angle B and the cosine of angle A is equal to the sine of angle B.
• Students will solve application problems involving right triangles, including angle of elevation and depression.
• Students will solve right triangles by finding the measures of all sides and angles in the triangles using Pythagorean Theorem and/or trigonometric ratios and their inverses.
Classroom Activities

Monday/Tuesday:

• Students will finish the Special Right Triangles task cards.
• We will play Special Right Triangle Swipe Out to review for summative on Special Right Triangles and Pythagorean Theorem.
• We will go over what will be on the test.

Wednesday:

• Students will take the test on Pythagorean Theorem and Special Right Triangles.

Thursday/Friday:

• Students will create a foldable on basic Trig Ratios and learn that the trig ratios are based on the characteristics of similar triangles.
• Students will practice finding side measures and angle measure using trig ratios.
• Students will do a Kahoot! on trigonometric ratios.

Assignments Due
• Test on Pythagorean Theorem and Special Right Triangles on December 5.