Montana Math MT.7.EE.2

Math7th GradeExpressions and Equations

The Standard

Understand that rewriting an expression in different forms in a problem in context can show how the quantities in it are related.

2026 Montana Mathematics Content Standards

Teacher's field guide

What Students Need to Do: Students rewrite an expression for a situation in another form. They explain what each form shows about the quantities and check that both give the same total.
What Mastery Looks Like: For three bags with x apples and four oranges each, a student writes 3(x+4) and 3x+12. They explain that the first counts by bag and the second counts by fruit type.
Common Misconceptions: Students may rewrite 3(x+4) as 3x+4, forgetting the oranges in two bags. They may also say 12 counts apples rather than oranges.
How to Assess It: Exit ticket: Three bags each hold x apples and four oranges. Rewrite 3(x+4), then label what each part of your new expression counts.

Lesson moves

Put five blue and four orange counters on each of three paper bag mats; replace five with x and write both counting expressions.
Ask, "How does 3(x+4) count by bag, while 3x+12 counts by fruit type?" Have students explain to a partner.
Give pairs cards showing 2(x+3), 2x+6, and a matching pencil-box story; have them match the cards and explain what six counts.
Show a field trip budget for four students, each paying $5 admission plus x dollars for lunch; write the total cost two ways.

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