**PA Core****PA Common Core: Mathematics (2013)**

**Algebraic Concepts**

**GRADE High School**

Write expressions in equivalent forms to solve problems. (2.2.HS.D2)Use reasoning to solve equations and justify the solution method. (2.2.HS.D9)**Geometry**

**GRADE 5**

Classify two-dimensional figures into categories based on an understanding of their properties. (2.3.5.A2)**GRADE 6**

Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume. (2.3.6.A1)**GRADE 8**

Understand and apply the Pythagorean Theorem to solve problems. (2.3.8.A3)**GRADE High School**

Apply rigid transformations to determine and explain congruence. (2.3.HS.A2)Verify and apply geometric theorems as they relate to geometric figures. (2.3.HS.A3)Create justifications based on transformations to establish similarity of plane figures. (2.3.HS.A5)Verify and apply theorems involving similarity as they relate to plane figures. (2.3.HS.A6)Apply trigonometric ratios to solve problems involving right triangles. (2.3.HS.A7)Apply geometric theorems to verify properties of circles. (2.3.HS.A8)Extend the concept of similarity to determine arc lengths and areas of sectors of circles. (2.3.HS.A9)Apply coordinate geometry to prove simple geometric theorems algebraically. (2.3.HS.A11)Explain volume formulas and use them to solve problems. (2.3.HS.A12)