Georgia 7.PAR.2.2
The Standard
Rewrite an expression in different forms from a contextual problem to clarify the problem and show how the quantities in it are related.
Georgia's K-12 Mathematics Standards · Use properties of operations, generate equivalent expressions and interpret the expressions to explain relevant contextual situations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent a situation with an algebraic expression, then rewrite it by distributing, factoring, or combining like terms. They explain how each form shows a different part of the situation.
What Mastery Looks Like
- Given 3(x + 5), a student can write 3x + 15 and explain what each term represents in the situation. The student can verify equivalence by substitution or calculation.
Common Misconceptions
- Students may distribute a factor to only the variable term, such as rewriting 4(x + 3) as 4x + 3. They may combine unlike terms or fail to connect numbers in the rewritten form to the situation.
How to Assess It
- Exit ticket: A school orders 6 boxes, each containing x blue markers and 4 red markers. Write two equivalent expressions for the total and explain what 24 represents.
Lesson moves
Ways to Teach It
Give pairs four sealed bags marked x and 12 loose counters, then have them arrange the materials to model 4(x + 3) and 4x + 12.
Ask students to compare 5(n + 2) and 5n + 10, then write what the 10 represents in a ticket-buying situation.
Create matching cards with short situations, factored expressions, expanded expressions, and interpretations for students to sort into complete sets.
Use a pizza menu to write and rewrite the cost of several identical orders, then explain what each number represents.
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Printable 7.PAR.2.2 Worksheet
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Related Standards
- 8.FGR.5.6
Write a linear function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- 6.PAR.6.4
Evaluate expressions when given values for the variables, including expressions that arise in everyday situations.
- 8.PAR.3.1
Interpret expressions and parts of an expression, in context, by utilizing formulas or expressions with multiple terms and/or factors.
- 7.PAR.2
Use properties of operations, generate equivalent expressions and interpret the expressions to explain relevant contextual situations.
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