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Mathematics | Grade : 8
Domain - Geometry
Cluster - Understand and apply the Pythagorean Theorem.
[8.G.B.7] - Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
[8.G.B.6] -
[See 8.G.B.6.a and 8.G.B.6.b.]
[8.G.B.8] -
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
[GEO.G-SRT.C.8] -
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
[AII.F-TF.C.8] -
Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant.
[MII.G-SRT.C.8] -
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
[MIII.F-TF.C.8] -
Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant.
[PC.F-TF.A.3] -
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π-x, π + x, and 2π - x in terms of their values for x, where x is any real number.
[AQR.F-TF.A.3] -
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π-x, π + x, and 2π - x in terms of their values for x, where x is any real number.