Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Verify experimentally the properties of dilations given by a center and a scale factor:

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Given two figures, use the definition of similarity in terms of similarity transformations 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.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: 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.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: 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.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Explain and use the relationship between the sine and cosine of complementary angles.

Degree of Alignment:
Not Rated
(0 users)

Learning Domain: Geometry: Similarity, Right Triangles, and Trigonometry

Standard: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Understand similarity in terms of similarity transformations

Standard: Verify experimentally the properties of dilations given by a center and a scale factor:

Degree of Alignment:
Not Rated
(0 users)

Cluster: Understand similarity in terms of similarity transformations

Standard: Given two figures, use the definition of similarity in terms of similarity transformations 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.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Understand similarity in terms of similarity transformations

Standard: Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Prove theorems involving similarity

Standard: 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.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Prove theorems involving similarity

Standard: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Define trigonometric ratios and solve problems involving right triangles

Standard: 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.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Define trigonometric ratios and solve problems involving right triangles

Standard: Explain and use the relationship between the sine and cosine of complementary angles.

Degree of Alignment:
Not Rated
(0 users)

Cluster: Define trigonometric ratios and solve problems involving right triangles

Standard: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Degree of Alignment:
Not Rated
(0 users)

## Comments