Targets & Standards
Geometry is a way to understand the real world around us by basing arguments on concrete referents, modeling relationships, and applying mathematical principles to understand geometric properties and concepts using objects, drawings, diagrams, and actions.
Essential Standards
G-SRT.C Define trigonometric ratios and solve problems involving right triangles.
G-SRT.8. (embed with G-SRT.6, G-SRT.7 & G-SRT8.1 CA only) Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Modeling Standard
There are no substandards for this standard.
Embed with G-SRT.8, G-SRT.6. Understand 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.
There are no substandards for this standard.
Embed with G-SRT.8, G-SRT.7. Explain and use the relationship between the sine and cosine of complementary angles.
There are no substandards for this standard.
Embed with G-SRT.8, G-SRT.8.1 CA only. Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
There are no substandards for this standard.
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Required Evidence
Claim 2 Problem Solving Students can solve a range of well-posed problems in pure and applied mathematics, making productive use of knowledge and problem-solving strategies. (DOK 1, 2 & 3)
Achievement Level Descriptors
Assessment Targets (incorporate as many as possible) & Evidence
Supporting Standards
Embed with G-SRT.8, G-SRT.6. Understand 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.
There are no substandards for this standard.
Embed with G-SRT.8, G-SRT.7. Explain and use the relationship between the sine and cosine of complementary angles.
There are no substandards for this standard.
Embed with G-SRT.8, G-SRT.8.1 CA only. Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
There are no substandards for this standard.
G-GMD.6 CA only. Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve real-world and mathematical problems.
There are no substandards for this standard.
G-SRT.4 Prove theorems about triangles.
Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity
G-SRT.9 (+) Derive the formula A= (1/2)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
There are no substandards for this standard.
G-SRT.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems.
There are no substandards for this standard.
G-SRT.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems.
There are no substandards for this standard.
G-SRT.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and nonright triangles (e.g., surveying problems, resultant forces).
There are no substandards for this standard.