- Draw a dilation when given a rule (center and scale factor greater than 0) and write a rule given a dilation.
- Verify that a side length of the image is equal to the scale factor multiplied by the corresponding side length of the pre-image of the dilation.
- Develop a definition for similarity using the principles of dilation and identify examples and nonexamples of similarity.
- Develop similarity statements and identify corresponding angles and sides based on the statements.
- Show that A-A, S-A-S, and S-S-S are sufficient conditions to prove triangle similarity.
- Use triangle similarity criteria (AA, SAS, SSS) to show that two triangles are similar.
- Use triangle similarity criteria to show that two triangles are similar.
- Use triangle similarity to prove a line parallel to one side of a triangle divides the other two proportionally, and its converse.
- Use triangle similarity to prove the Pythagorean Theorem and its converse.
- Use triangle similarity to prove the Pythagorean Theorem and its converse.
- Apply triangle congruence and triangle similarity to solve problem situations.

- Develop trigonometric ratios for angles using the relationships between sides and angles in a right triangle.
- Find the side ratios for sine, cosine, tangent, cosecant, secant, and cotangent of a given triangle.
- Explore the connection between trigonometric ratios and their associated angle.
- Determine the relationship between sine and cosine.
- Apply trigonometric ratios to solve for missing angles and sides of right triangles.
- Apply trigonometric ratios and the Pythagorean Theorem to solve for missing angles and sides of right triangles.
- Model and solve application problems involving right triangles.

- Derive the trigonometric formula for the area of a triangle.
- Use the law of sines to solve problems.
- Use the law of cosines to solve problems.
- Apply the law of sines and law of cosines to solve problems.

This document outlines concepts in each Topic for the Unit. When corresponding resources are available in cK12.org, a hyperlink is provided for the Flexbook. The cK12.org Flexbooks provide a variety of examples, definitions, and extra practice problems related to some of the concepts in Curriculum 2.0 Two-year Algebra 2, Algebra 2, and Honors Algebra 2. The concepts will be developed in greater depth and with appropriate vocabulary in the classroom. The materials in the Flexbooks are intended to provide additional support to the classroom expectations. The vocabulary and methods in these examples may differ slightly from the classroom expectation; however, the overall intent is consistent with the content expectation.