to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Cluster: Prove theorems involving similarity. Standards Key ideas and Details Intervention Supports G.SRT.4 Prove theorems about triangles. Theorems R/V: Discusses standard G.SRT.4 and includes a funny video for students. include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved R: Discusses standard G.SRT.5 and includes a real life example to present to using triangle similarity. students. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Cluster: Define trigonometric ratios and solve problems involving right triangles Standards Key ideas and Details Intervention Supports G.SRT.6 Understand that by similarity, side ratios in R: A graphic organizer on trigonometric ratios. right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. V/R: Features several videos and examples of trigonometry. G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. V: Provides several videos on standard G.SRT.7. G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied A: A real world activity on trigonometry. problems. *
G.SRT.3 to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. Cluster: Prove theorems involving similarity. Standards Key ideas and Details Intervention Supports G.SRT.4 G.SRT.5 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. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. R/V: Discusses standard G.SRT.4 and includes a funny video for students. R: Discusses standard G.SRT.5 and includes a real life example to present to students. Cluster: Define trigonometric ratios and solve problems involving right triangles Standards Key ideas and Details Intervention Supports G.SRT.6 G.SRT.7 G.SRT.8 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. Explain and use the relationship between the sine and cosine of complementary angles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. * R: A graphic organizer on trigonometric ratios. V/R: Features several videos and examples of trigonometry. V: Provides several videos on standard G.SRT.7. A: A real world activity on trigonometry.