UNIT 2: SIMILARITY, PROOF, and TRIGONOMETRY
Priority Standards:
1. G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor.
2. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
3. 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.
4. G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
5. G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios)
2. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
3. 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.
4. G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
5. G.MG.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios)
Essential Questions:
1. What is the role of center and scale factor in dilations?
2. How can you show that two geometric figures are similar?
3. How are trigonometric ratios used to solve right triangles?
4. How can design problems be solved using geometric methods?
2. How can you show that two geometric figures are similar?
3. How are trigonometric ratios used to solve right triangles?
4. How can design problems be solved using geometric methods?