Mississippi Math FA.F.25

MathGrades 9–12Functions (F) Functions

The Standard

Identify when systems of equations and inequalities have constraints. (A-CED.3)

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students find limits in a situation, such as a budget or a maximum number of items. They write inequalities for those limits and check which choices satisfy all of them.

What Mastery Looks Like

A student can write separate inequalities for a budget and an item limit. They know item counts cannot be negative or fractional, and they test a choice against every limit.

Common Misconceptions

Students may read “at most” as “at least,” or use an equal sign when spending less is allowed. They may check only one limit or accept fractional item counts.

How to Assess It

A club has $18 for $3 notebooks and $2 pens, with room for at most eight items. Write all the limits on the numbers of notebooks and pens.

Lesson moves

Ways to Teach It

  1. Give groups play money and notebook and pen cards priced $3 and $2; find purchases under $18 with at most eight items.

  2. Ask, “Can seven pens and two notebooks be bought for $18 and carried in eight slots?” Have students explain using both limits.

  3. Sort notebook and pen count cards (6,0), (0,9), (5,3), (3,6) into valid, budget violation, item violation, or both.

  4. Use a 40-seat bus chart and a $400 ticket budget; test group sizes when student tickets cost $8 and adult tickets cost $12.

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