Maryland Math 7.AT.C.7
The Standard
Analyze contextual situations to determine whether an equation or inequality best represents the relationship between quantities. Justify the choice based on the context.
Maryland College and Career Ready Standards for Mathematics (2025) · MODEL WITH AND SOLVE EQUATIONS AND INEQUALITIES.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students read a situation and decide whether the quantities must be equal or can be above or below a limit. They write a matching equation or inequality and explain their choice using the situation.
What Mastery Looks Like
- With 5 chaperones and exactly 48 riders, a student writes s + 5 = 48. If the bus has 48 seats, they write s + 5 ≤ 48 and explain that some seats can be empty.
Common Misconceptions
- Students may write an equation for a budget because a dollar amount is given, even though spending less is allowed. They may reverse ≤ and ≥ or think “at most” excludes the limit itself.
How to Assess It
- A club has up to $60 for notebooks. Each notebook costs $4, and delivery costs $12. Write a model for n notebooks and explain why you chose an equation or inequality.
Lesson moves
Ways to Teach It
Give pairs 20 counters and cards marked “exactly 20 seats” and “at most 20 seats”; model 3 reserved seats plus student seats.
Have students compare “exactly 24 tickets” and “at most 24 tickets” in writing, using an equation and an inequality.
Play a card sort with price and capacity stories; students match each story to an equation or inequality and explain one match.
Use a 48-seat bus with 5 chaperones to write a field trip capacity inequality and explain why it allows empty seats.
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Printable 7.AT.C.7 Worksheet
A ready-to-print activity worksheet aligned to 7.AT.C.7, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 7.AT.C.9
Use variables to represent quantities and write and solve inequalities to model and reason about constraints and conditions in context.
- 6.AT.C.10
Solve problems in context by writing and solving inequalities and interpreting solution sets in context.
- 7.GR.B.4.c
Interpret and justify solutions in context by comparing different geometric representations, estimating or checking for reasonableness, and explaining how the r...
- 7.AT.C.9.c
Interpret the solution set in terms of the context by describing what values are possible or reasonable in the given situation.
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