GEOMETRIC & SPATIAL REASONING – right triangle trigonometry
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
G.GSR.6.1:
Expectations:
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
Evidence of student learning:
Students should be able to use similarity to establish sine, cosine, and tangent ratios.
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
Evidence of student learning:
Students should be able to use similarity to establish sine, cosine, and tangent ratios.
G.GCR.6.2
Expectations:
Explain and use the relationship between the sine and cosine of complementary angles.
Evidence of student learning:
Students should be able to verify and apply the relationship between cofunctions, sin(𝛳) = cos(90°- 𝛳) and cos(𝛳) = sin(90°- 𝛳). • In seventh grade, students write and solve equations using supplementary, complementary, vertical, and adjacent angles.
Explain and use the relationship between the sine and cosine of complementary angles.
Evidence of student learning:
Students should be able to verify and apply the relationship between cofunctions, sin(𝛳) = cos(90°- 𝛳) and cos(𝛳) = sin(90°- 𝛳). • In seventh grade, students write and solve equations using supplementary, complementary, vertical, and adjacent angles.
G.GSR.6.3
Expectation:
Use trigonometric ratios and the Pythagorean Theorem to solve for sides and angles of right triangles in applied problems.
Evidence of Student Learning:
Students should be able to use sine, cosine, and tangent to solve real-life problems that require them to find missing side and angle measurements
Use trigonometric ratios and the Pythagorean Theorem to solve for sides and angles of right triangles in applied problems.
Evidence of Student Learning:
Students should be able to use sine, cosine, and tangent to solve real-life problems that require them to find missing side and angle measurements