Maryland Math 7.AT.C.9.c
The Standard
- 7.AT.C.9
- Use variables to represent quantities and write and solve inequalities to model and reason about constraints and conditions in context.
Interpret the solution set in terms of the context by describing what values are possible or reasonable in the given situation.
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 check a solution or range of solutions against the story. They describe which values are possible and explain limits such as whole tickets or a fixed budget.
What Mastery Looks Like
- Given a budget inequality, a student lists the affordable whole-number quantities, including zero when it works. They reject negative or fractional quantities when the situation does not allow them.
Common Misconceptions
- Students may include fractional tickets because the numbers satisfy the inequality. They may leave out zero or include an endpoint that a strict limit rules out.
How to Assess It
- Exit ticket: Admission costs $4, and each ride costs $3. With $19 to spend, list every possible number of rides and explain why 2.5 rides is not an option.
Lesson moves
Ways to Teach It
Give pairs $20 in play money, a $5 admission card, and $3 ticket cards; have them record every ticket count they can afford.
Ask students to write whether buying zero tickets counts as a solution and explain their answer using the admission card.
Give students cards labeled 0, 2.5, 5, 6, and −1; have them sort the possible ticket counts for the $20 budget.
Show a bus with 32 seats and 7 riders; ask how many full groups of four can board, and why another group cannot.
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Related Standards
- 7.AT.C.8.c
Solve word problems leading to equations of these forms and interpret the solution in terms of the context.
- 6.AT.C.10
Solve problems in context by writing and solving inequalities and interpreting solution sets in context.
- 8.AT.B.4.b
Represent the solution set on a number line and describe the set of possible values in the context of the problem.
- 7.AT.C.7
Analyze contextual situations to determine whether an equation or inequality best represents the relationship between quantities. Justify the choice based on th...
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