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Transcript

GeometryB Topic 6 Map

Lesson 1

Proving Congruence with HL

Explore the Hypotenuse-Leg Theorem and use it to prove two right triangles are congruent

Lesson 2

Use the definition of the sine ratio to relate side lengths and angles of a right triangle, solve a proportion using the sine ratio to find a missing side

Lesson 3

Use the definition of the cosine ratio to relate side lengths and angles of a right triangle, solve a proportion using the cosine ratio to find a missing side

Lesson 4

Use the definition of the tangent ratio to relate side lengths and angles of a right triangle, solve a proportion using the tangent ratio to find a missing side

Lesson 5

Spotlight on ACT questions using trigonometric ratios

+ knowledge check

+ knowledge check

+ knowledge check

+ knowledge check

+ knowledge check

Sine Ratio

Cosine Ratio

Tangent Ratio

ACT Spotlight

Essential Question: How do trigonometric ratios relate to the sides and angles of a right triangle?

OAS Standard(s) Covered: G.2D.1.9 Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL). G.RT.1.3 Use the definition of the trigonometric functions to determine the sine, cosine, and tangent ratio of an acute angle in a right triangle. Apply the inverse trigonometric functions to find the measure of an acute angle in right triangles.

Informal Knowledge Check Post-Lesson: When can we use the Hypotenuse-Leg Theorem? Why is it helpful?

Informal Knowledge Check Post-Lesson: What does the "SOH" in SOH-CAH-TOA stand for and how does that relate to the sides of a right triangle?

Informal Knowledge Check Post-Lesson: What does the "CAH" in SOH-CAH-TOA stand for and how does that relate to the sides of a right triangle?

Informal Knowledge Check Post-Lesson: What does the "TOA" in SOH-CAH-TOA stand for and how does that relate to the sides of a right triangle?

Informal Knowledge Check Post-Lesson: What key word(s) tell us when to use the Pythagorean Theorem or Trigonometric ratios?