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.
- 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.
- We will do the packet on 45-45-90 Triangles.
- We will go over the concept of rationalizing the denominator
- I will give students notes on Simplifying Radicals–the Birthday Cake
- Third period will take the PSAT
- Fifth period will do the work that Third period did on Tuesday (flipped schedule)
- Practice Problems on 45-45-90 Triangles Packet.
All IEP and ESOL accommodations are provided daily.