Common Cores Standards for Mathematics Grades 9-12
High School: Geometry
Congruence - CCSS.MATH.CONTENT.HSG.CO
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions
Similarity, Right Triangles, and Trigonometry - CCSS.MATH.CONTENT.HSG.SRT
- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Apply trigonometry to general triangles
Circles - CCSS.MATH.CONTENT.HSG.C
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
Expressing Geometric Properties with Equations - CCSS.MATH.CONTENT.HSG.GPE
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension - CCSS.MATH.CONTENT.HSG.GMD
- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional object