# Q3, W4: January 27-31 Geometry Teacher Kristin Andreason Geometry Honors 8 January 27-31 Unit 4: Right Triangles and Trigonometry
Standard(s) Taught

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.

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

Learning Targets and Learning Criteria
• demonstrate that within a right triangle, line segments parallel to a leg create similar triangles by angle-angle similarity.
• use characteristics of similar figures to justify the trigonometric ratios.
• define the following trigonometric ratios for acute angles in a right triangle: sine, cosine, and tangent.
• calculate sine and cosine ratios for acute angles in a right triangle when given two side lengths.
•  use a diagram of a right triangle to explain that for a pair of complementary angles A and B, 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.
• draw right triangles that describe real world problems and label the sides and angles with their given measures.
• solve application problems involving right triangles, including angle of elevation and depression, navigation, and surveying.
Classroom Activities

Monday/Tuesday:

• 5th and 8th period will do what 3rd period did last Thursday (intro to Trigonometry) (they are one day behind because of the Monday holiday, but this will catch them up because 3rd period did not meet due to Holocaust field trip)

Wednesday:

• I will teach them Angles of Elevation and Depression
• Students will do problems in Math Nation practice book (pp. 134-135, #1-6 and p. 136, #1-3)

Thursday/Friday:

• Students will do a Scavenger Hunt on Right Triangle Trigonometry.
Assignments Due
• Math Nation practice book assignment is due by January 30/31.
• Scavenger Hunt on Right Triangle Trigonometry is due at the end of class (Jan. 30/31)