# Q3, W3: January 17-21 Geometry Teacher Kristin Andreason Geometry Honors 8 January 17-21 Unit 4: Right Triangles and Trigonometry
Standard(s) Taught

MAFS.912.G-SRT.2.4:  Prove theorems about triangles. (Theorems include: Triangle Proportionality Theorem or Side Splitter Theorem – a line parallel to one side of a triangle divides the other two proportionally.)

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
• define geometric mean.
• find measures in similar right triangles using geometric mean.
• apply theorems, postulates, or definitions to prove theorems about triangles, including proving The Pythagorean Theorem using triangle similarity.
• use Special Right Triangles (30°-60°-90° and 45°-45°-90°) to solve for missing side lengths.
• use angle measures to estimate side lengths and vice versa.
• 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.
• 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

Tuesday:

• We will watch a video on Geometric Mean and one on Altitude Geometric Mean Theorem.
• We will do Math Nation Section 7, Topic 6.
• Students will do a Geometric Mean maze.

Wednesday:

1. We will do the packet on 45-45-90 Triangles.
2. We will go over the concept of rationalizing the denominator
3. I will give students notes on Simplifying Radicals–the Birthday Cake

Thursday/Friday:

1. Third period will take the PSAT
2. Fifth period will do the work that Third period did on Tuesday (flipped schedule)
Assignments Due
• Practice Problems on 45-45-90 Triangles Packet.