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Common Core: Standard
Common Core: ELA
Common Core: Math
CCLS - Math: A.SSE.2
- Seeing Structure In Expressions
- Interpret The Structure Of Expressions
- State Standard:
- 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).
- Algebra I Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs In this module students analyze and explain precisely the process of solving an equation. Through...
- Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...
- Student Outcomes Students use the structure of an expression to identify ways to rewrite it. Students use the distributive property to prove equivalency of expressions.
- Student Outcomes Students use the commutative and associative properties to recognize structure within expressions and to prove equivalency of expressions.
- Student Outcomes Students use the distributive property to multiply a monomial by a polynomial and understand that factoring reverses the multiplication process. Students use polynomial expressions...
- Student Outcomes Students understand that factoring reverses the multiplication process as they find the linear factors of basic, factorable quadratic trinomials. Students explore squaring a binomial...
- Student Outcomes Students develop strategies for factoring quadratic expressions that are not easily factorable, making use of the structure of the quadratic expression.
- Student Outcomes Students factor quadratic expressions that cannot be easily factored and develop additional strategies for factorization, including splitting the linear term, using graphing...
- Student Outcomes Students solve increasingly complex one-variable equations, some of which need algebraic manipulation, including factoring as a first step and using the zero product property.
- In middle school, students applied the properties of operations to add, subtract, factor, and expand expressions (6.EE.3, 6.EE.4, 7.EE.1, 8.EE.1). Now, in Topic B, students use the structure of...
- Topic A introduces polynomial expressions. In Module 1, students learned the definition of a polynomial and how to add, subtract, and multiply polynomials. Here, their work with multiplication is...
- Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x - h)2 + k in Topic B. The strategy known as completing the square is...