Mississippi Math FA.F.24

MathGrades 9–12Functions (F) Functions

The Standard

Identify real-world contexts that can be modeled by a system of inequalities in two variables. (Limited to three inequalities.)

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students spot situations where two changing amounts must meet several limits at once. They name the amounts and write no more than three inequalities to describe the limits.
What Mastery Looks Like: For a stand selling $3 berry baskets and $5 peach baskets, students let x and y count each type. With room for 40 baskets and a $120 sales goal, they write x + y ≤ 40 and 3x + 5y ≥ 120, and explain why both must hold.
Common Misconceptions: Students may use ≤ for an “at least $120” goal or put prices in the basket-count rule. Some use one variable for both basket types, which hides the different prices.
How to Assess It: Exit ticket: A stand sells $3 berry baskets and $5 peach baskets. It has room for 40 baskets and wants at least $120 in sales. Name the variables and write the two inequalities.

Lesson moves

Use 40 paper squares as basket spaces; students place $3 and $5 basket cards, then name the space limit and $120 sales goal.
Ask students to write why a 40-basket limit uses a different inequality sign from a $120 sales goal.
Post cards for a 50-seat show, $200 sales goal, $4 child tickets, and $7 adult tickets; pairs race to write both inequalities.
Show a cafeteria order form for $5 sandwiches and $7 salads, with a $75 budget and 12 meal slots; students name both limits.

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