Priority Standard: G.SRT.8 Define trigonometric ratios and solve problems involving right triangles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Topics and "I can" Statements:
Unit 7: Right Triangles and Trigonometry Resources
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Unit 7- Right Triangles and Trigonometry Note Packet: Blank Copy
Unit 7- Section #1: Pythagorean Theorem (pg. 2-3)
Pythagorean Theorem Lesson: Guided Notes
Lesson Video:
Pythagorean Theorem and Examples #1-4 (pg. 2)
Pythagorean Triples and Example #5 (pg. 3)
Unit 7- Worksheet #1: Pythagorean Theorem Worksheet
Unit 7- Worksheet #1: Answer Key
Unit 7- Section #2: Pythagorean Converse (pg. 3-4)
Pythagorean Converse Lesson: Guided Notes
Lesson Video:
Pythagorean Converse and Examples (pg. 3-4)
Acute/Obtuse Triangle Theorems and Examples (pg. 4)
Unit 7- Worksheet #2: Pythagorean Converse Worksheet
Unit 7- Worksheet #2: Answer Key
Unit 7- Section #3: Similar Triangles (pg. 5-7)
Similar Triangles Lesson: Guided Notes
Lesson Videos:
Similar Triangles Intro and Example #1
Examples #2-4
Geometric Mean Theorems
Examples #5-8
Unit 7- Worksheet #3: Similar Right Triangles
Unit 7- Worksheet #3: Answer Key
Unit 7- Section #4: Special Right Triangles (pg. 8-9)
Special Right Triangles Lesson: Guided Notes
Lesson Videos:
Special Right Triangles: 45°-45°-90° and Examples
Special Right Triangles: 30°-60°-90° and Examples
Check Point
Unit 7- Worksheet #4: Special Right Triangles
Unit 7- Worksheet #4: Answer Key
Unit 7- Section #5: Sine, Cosine, and Tangent (pg. 10-14)
Sine, Cosine, and Tangent Lesson: Guided Notes
Lesson Videos:
Tangent Ratio and Examples #1-4
Concept Check
Sine/Cosine Ratios and Examples #1-3
Angle of Elevation/Depression and Examples #4-5
Sine, Cosine and Tangent Review and Check Point
Unit 7- Worksheet #5: Trig Ratios Worksheet
Unit 7- Worksheet #5: Answer Key
Unit 7- Section #6: Solving Right Triangles (pg. 15-16)
Solving Right Triangles Lesson: Guided Notes
Lesson Videos:
Inverse Trig Ratios and Example #1
Example #2-4
Concept Check
Unit 7- Worksheet #6: Solving Right Triangles Worksheet
Unit 7- Worksheet #6: Answer Key
Unit 7- Review Material
Unit 7- Right Triangles and Trigonometry: Assessment Review
Unit 7- Right Triangles and Trigonometry Assessment Review: Answer Key
Topics and "I can" Statements:
- I can apply the Pythagorean Theorem to find side lengths of right triangles.
- I can use the Converse of the Pythagorean Theorem to identify whether triangles are acute, obtuse or right.
- I can use the altitude of a right triangle to set up proportions to find unknown side lengths.
- I can use special right triangles to find unknown side lengths and angle measures.
- I can define and apply the tangent ratio to find unknown side lengths.
- I can define and apply the sine and cosine ratios to find unknown side lengths.
- I can find unknown side and angle measurements using trigonometric ratios (sine, cosine and tangent) and their inverses.
Unit 7: Right Triangles and Trigonometry Resources
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Unit 7- Right Triangles and Trigonometry Note Packet: Blank Copy
Unit 7- Section #1: Pythagorean Theorem (pg. 2-3)
Pythagorean Theorem Lesson: Guided Notes
Lesson Video:
Pythagorean Theorem and Examples #1-4 (pg. 2)
Pythagorean Triples and Example #5 (pg. 3)
Unit 7- Worksheet #1: Pythagorean Theorem Worksheet
Unit 7- Worksheet #1: Answer Key
Unit 7- Section #2: Pythagorean Converse (pg. 3-4)
Pythagorean Converse Lesson: Guided Notes
Lesson Video:
Pythagorean Converse and Examples (pg. 3-4)
Acute/Obtuse Triangle Theorems and Examples (pg. 4)
Unit 7- Worksheet #2: Pythagorean Converse Worksheet
Unit 7- Worksheet #2: Answer Key
Unit 7- Section #3: Similar Triangles (pg. 5-7)
Similar Triangles Lesson: Guided Notes
Lesson Videos:
Similar Triangles Intro and Example #1
Examples #2-4
Geometric Mean Theorems
Examples #5-8
Unit 7- Worksheet #3: Similar Right Triangles
Unit 7- Worksheet #3: Answer Key
Unit 7- Section #4: Special Right Triangles (pg. 8-9)
Special Right Triangles Lesson: Guided Notes
Lesson Videos:
Special Right Triangles: 45°-45°-90° and Examples
Special Right Triangles: 30°-60°-90° and Examples
Check Point
Unit 7- Worksheet #4: Special Right Triangles
Unit 7- Worksheet #4: Answer Key
Unit 7- Section #5: Sine, Cosine, and Tangent (pg. 10-14)
Sine, Cosine, and Tangent Lesson: Guided Notes
Lesson Videos:
Tangent Ratio and Examples #1-4
Concept Check
Sine/Cosine Ratios and Examples #1-3
Angle of Elevation/Depression and Examples #4-5
Sine, Cosine and Tangent Review and Check Point
Unit 7- Worksheet #5: Trig Ratios Worksheet
Unit 7- Worksheet #5: Answer Key
Unit 7- Section #6: Solving Right Triangles (pg. 15-16)
Solving Right Triangles Lesson: Guided Notes
Lesson Videos:
Inverse Trig Ratios and Example #1
Example #2-4
Concept Check
Unit 7- Worksheet #6: Solving Right Triangles Worksheet
Unit 7- Worksheet #6: Answer Key
Unit 7- Review Material
Unit 7- Right Triangles and Trigonometry: Assessment Review
Unit 7- Right Triangles and Trigonometry Assessment Review: Answer Key