Geometry Block - Unit 5

What
Geometry Block - Unit 5
When
3/18/2024

Unit 5: Right Triangle Trigonometry

Geometric & Spatial Reasoning (GSR)

G.GSR.6: Examine side ratios of similar triangles; use the relationship between right triangles to develop an understanding of sine, cosine, and tangent to solve mathematically applicable geometric problems and to model and explain real-life phenomena. (GaDOE, 2022b, p. 12)

STANDARD & Expectations

LT & SC

Lesson Activities & Resources

G.GSR.6.1

Explain that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

LT

  • I am learning Right Triangle Trigonometry.


SC:

  • I can use similarity to establish sine, cosine, and tangent ratios.


LA&R:

G.GSR.6.2

Explain and use the relationship between the sine and cosine of complementary angles.

LT

  • I am learning about the sine and cosine of complementary angles.


SC:

  • Review skill from 7th grade: I can write and solve equations using supplementary, complementary, vertical, and adjacent angles.

  • I can explain and use the cofunction relationship between the sine and cosine of complementary angles.


LA&R:

  • Desmos and 3-Act Tasks; GeoGebra; Quizlet vocabulary & word wall; Flipped classroom activity

G.GSR.6.3

Use trigonometric ratios and the Pythagorean Theorem to solve for sides and angles of right triangles in applied problems.

LT

  • I am learning to solve right triangles for their angles and sides.


SC:

  • I can use Pythagorean Theorem, sine, cosine, and tangent to find missing sides of right triangles.

  • I can use sine, cosine, and tangent to find missing angles of right triangles.

  • I can use sine, cosine, and tangent to solve real-life problems.


LA&R:

  • Desmos and 3-Act Tasks (Car Ramp/Trig Ratios & Pythagorean theorem); GeoGebra; Co-Functions Triangle Matching Puzzle; KutaSoftware; DeltaMath; IXL; Quizlet vocabulary & word wall

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