Mississippi Math C.N.1

MathGrades 9–12Number and Quantity (N) Compute and Determine the Reasonableness of Results in Mathematical and Real-world Situations

The Standard

Estimate limits from graphs or tables.

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What Students Need to Do: Use a graph or table to tell what output a function approaches as the input nears a number. Check both sides and separate nearby behavior from the function’s value at that point.
What Mastery Looks Like: A student can use values on both sides of x=2 to estimate a limit of 5, even if the value at x=2 is 1. They can tell when the two sides approach different numbers and no two-sided limit exists.
Common Misconceptions: Students may report the filled dot or table entry at x=2 as the limit, even when nearby values approach 5. They may check only one side of a graph.
How to Assess It: Exit ticket: x-values are 1.9, 1.99, 2, 2.01, 2.1, with outputs 4.9, 4.99, 1, 5.01, 5.1. Estimate the limit as x approaches 2 and explain why the output at x=2 does not change it.

Lesson moves

On graph paper, plot y=x+3 near x=2, leave (2,5) open, mark (2,1) filled, and trace toward x=2 from both sides.
Ask: A graph approaches 3 from the left and 7 from the right at x=4. Does it have a limit there? Why?
Show x-values 1.9, 1.99, 2.01, 2.1 with outputs 4.9, 4.99, 5.01, 5.1; teams race to estimate the limit at x=2 on whiteboards.
Use coffee readings of 60.1°C, 60.01°C, 59.99°C, and 59.9°C at 9.9, 9.99, 10.01, and 10.1 minutes; estimate its temperature at 10 minutes.

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