Georgia 7.PAR.2

7.PAR.2 is a Georgia mathematics standard. These are the expectations under it.

• 7.PAR.2.1

  Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

• 7.PAR.2.2

  Rewrite an expression in different forms from a contextual problem to clarify the problem and show how the quantities in it are related.

01

What Students Need to Do

Students rewrite algebraic expressions using operation properties and by combining like terms. They explain why two forms are equivalent and what the terms, coefficients, constants, or factors mean in context.

02

What Mastery Looks Like

Students can simplify, expand, or factor an expression and name the property they used. They can explain how each term or factor connects to a given situation.

03

Common Misconceptions

Students may rewrite 3(x + 4) as 3x + 4, distributing only to the first term. They may combine unlike terms, such as 2x + 5 becoming 7x. Some think expressions with different forms cannot represent the same quantity.

04

How to Assess It

Exit ticket: Four students each buy a $6 ticket and s dollars of snacks. Show why 4(s + 6) and 4s + 24 represent the same total, then explain what 24 represents.

1. 01

   Give pairs algebra tiles to model 3(x + 2), then rearrange the tiles to show 3x + 6.

2. 02

   Ask students which form, 5n + 20 or 5(n + 4), better shows total cost, then defend their choice.

3. 03

   Play an expression match game using cards with equivalent expanded, factored, and simplified forms.

4. 04

   Have students write and compare two expressions for a taxi fare with a fixed fee and a per-mile charge.

• 6.PAR.6.4

  Evaluate expressions when given values for the variables, including expressions that arise in everyday situations.

• 6.PAR.6.5

  Apply the properties of operations to identify and generate equivalent expressions.

• 6.PAR.6.3

  Write and read expressions that represent operations with numbers and variables in realistic situations.