Quarter 2, Week 7: November 27th – December 1st

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Teacher Felicia Taylor Geometry Honors 8th 16th 4: Right Triangles and Trigonometry
Standard(s) Taught

MAFS.912.G-SRT.2.4

Prove theorems about triangles.  (Theorems include: the Pythagorean Theorem proved using triangle similarity.)

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

I can:

• 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

Monday (2nd Period) / Tuesday (7th & 8th Periods)

• Bellringer – Proving Theorems about Triangles – Standard MAFS.912.G-SRT.2.4
• Instruction – Geometric Mean / Right Triangle Similarity – Standard MAFS.912.G-SRT.2.4
• Homework – Geometric Mean Worksheets (ODD PROBLEMS ONLY) – due Thursday, November 30th for 2nd Period / due Friday, December 1st for 7th & 8th Periods

Wednesday (All Classes – Early Release Day – Short Class Period)

• Bellringer – Proving Theorems about Triangles Part 2 – Standard MAFS.912.G-SRT.2.4
• Instruction – The Pythagorean Theorem and its Converse – Standards MAFS.912.G-SRT.2.4, MAFS.912.G-SRT.3.8
• Homework – Pythagorean Theorem and its Converse Worksheets (ODD PROBLEMS ONLY) – due Monday, December 4th for 2nd period / due Tuesday, December 5th for 7th & 8th Periods

Thursday (2nd Period) / Friday (7th & 8th Periods)

• Bellringer – Proving Theorems about Triangles Part 3 – Standard MAFS.912.G-SRT.2.4
• Instruction – Special Right Triangles – Standard MAFS.912.G-SRT.3.8
• Homework – Special Right Triangles Worksheets (ODD PROBLEMS ONLY) – due Wednesday, December 6th for all classes
Assignments Due

Summative

None – However, the RETAKE – Unit 2B/3 Test is due on Tuesday, December 5th – for those who desire to retake the Unit 2B/3 test.  The re-take is available on MathSpace.

Formatives

Worksheets (ONLY DO THE ODD PROBLEMS)

1. Geometric Mean Worksheets – due Thursday, November 30th for 2nd Period / due Friday, December 1st for 7th and 8th Periods