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# Mathematics Algebra

## Common Core Standards

### Mathematics: Algebra

In Algebra, instructional time should focus on three critical areas: (1) developing an understanding of different types of algebraic expressions and the properties they are governed by; (2) introducing equations and inequalities and developing strategies for solving one or more equation or inequality or a system of equations or system of inequalities; (3) introducing students to how expressions and equations can be used in mathematical modeling.
Sophia and Common Core Standards
Our Many Ways to Learn method makes it easy to integrate the new standards into your teaching. By using multiple instructors and teaching styles for each tutorial, we make sure you're reaching your students, so they can reach their goals.
Note: Our Common Core-aligned content is middle and high school-focused. We're continually expanding our library, so stay tuned - more great content coming soon.

## A.SSE - Seeing Structure in Expressions

##### Interpret the structure of expressions
Code
Standard
Concepts
A.SSE.1a
Interpret parts of an expression, such as terms, factors, and coefficients.
1
A.SSE.2
Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).
6

## A.APR - Arithmetic with Polynomials and Rational Expressions

##### Use polynomial identities to solve problems
Code
Standard
Concepts
A.APR.4
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 – y2)2 + (2xy)2 can be used to generate Pythagorean triples.
4