Right Triangle Trigonometry
Big Idea/Outcome: I will be able to use properties and relationships of right triangles to solve
mathematical and real-world problems.
Day 1 (Pythagorean Theorem & Its Converse):
Outcome: I will use Pythagorean Theorem to find missing sides of right triangles and its
converse to classify a triangle based on its angles.
Opener:
1. Solve the following problems for x. Leave your answers in simple radical
form.
a. x2 + 72 = 102
b. 202 + x2 = 222
c. 122 + x2 = 162
2. Other problems at discretion of teacher based on formative assessments of
the class.
Lesson Activities/Resources:
1. Pretest
2. ORQ - Skis
3. Powerpoint Presentation
Exit Slip:
1. Find the length of the hypotenuse of ABC. Do the lengths of the sides of
ABC form a Pythagorean triple?
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 2 (Special Right Triangles):
Outcome: I will find side lengths of 30-60-90 and 45-45-90 triangles.
Opener:
1. In a right triangle, one leg measures 24 meters and the hypotenuse
measures 26 meters. What is the length of the other leg?
a. 35 meters
b. 10 meters
c. 12 meters
d. 8 meters
2. Other problems at discretion of teacher based on formative assessments of
the class.
Lesson Activities/Resources:
1. Guided Notes
2. Powerpoint Presentation
Exit Slip:
1. A 45-45-90 triangle has a hypotenuse of 6 units. Find the length of each
leg.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 3 (Trigonometric Ratios – SohCahToa; part 1):
Outcome: I will find side measures of right triangles using trigonometric functions.
Opener:
1.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Lesson Activities/Resources:
1. Legend of SohCahToa – Story
2. Foldable for Trig Ratios/Formulas
3. Handouts – Finding Sides
4. Group Activity –
5. Guided Practice
6. Quiz
Exit Slip:
1.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 4 (Trigonometric Ratios – SohCahToa; part 2):
Outcome: I will use trigonometric inverses to find angle measures of right triangles.
Opener:
1.
2. Other problems at discretion of teacher based on the formative
assessments of the class.
Lesson Activities/Resources:
1. Handouts
2. ORQ – Triangles & Pipes
Exit Slip:
1.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 5 (Angles of Elevation & Depression):
Outcome: I will use angles of elevation and depression to solve mathematical and realworld problems.
Opener:
1.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Lesson Activities/Resources:
1. Powerpoint Presentation
2. Clinometers Activity
3. Flagpole Activity
4. Handout
5. ORQ – Ship to Shore
Exit Slip:
1.
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 6 (Review):
Outcome: I will be able to use properties and relationships of right triangles to solve
mathematical and real-world problems.
Opener:
1. A 6 ft. man stands 12 ft from the base of a tree. The angle of elevation
from his eyes to the top of the tree is 76°. How tall is the tree?
2. Other problems at discretion of teacher based on formative assessments of
the class.
Lesson Activities/Resources:
1. Trig Review
Exit Slip:
1. A square garden has sides 35 ft long. You want to build a brick path along
a diagonal of the square. How long will the path be?
2. Other problems at discretion of teacher based on formative assessments of
the class.
Day 7 (Test):
Outcome: I will be able to use properties and relationships of right triangles to solve
mathematical and real-world problems.
Lesson Activities/Resources:
1. Test – Right Triangle Trigonometry