Mississippi Math FA.F.16
The Standard
Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. (8.F.4)
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find how much the output changes for each one-unit increase in the input. They identify the output when the input is zero and explain what both numbers mean in a situation, table, or graph.
What Mastery Looks Like
- Given a taxi cost table or graph, a student identifies a $4 pickup fee and a $2 charge per mile. They point to the value at zero miles and use two other points to check the rate.
Common Misconceptions
- Students may call the first value in a table the starting value, even when the input is not zero. They may use the change in output as the rate without dividing by the change in input.
How to Assess It
- A tank fills steadily. Its table shows (minutes, gallons): (0, 12), (2, 18), (4, 24). What is the starting amount, and how many gallons are added per minute? Use the table to support both answers.
Lesson moves
Ways to Teach It
Place counters at (0, 4), (1, 6), and (2, 8) on a taxi cost graph, then label the pickup fee and dollars per mile.
Show a parking cost graph starting at $5 and rising $4 every 2 hours; ask what the starting cost and rise mean.
Race to match story, table, and graph cards for a $4 pickup fee plus $2 per mile; explain both numbers to win.
Show a printer's quote of $30 setup plus $5 per shirt; graph orders of 0, 10, and 20 shirts and label both charges.
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Printable FA.F.16 Worksheet
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Related Standards
- ATM.F.31
Write a function that describes a relationship between two quantities; and be able to calculate and interpret the average rate of change of a function (presente...
- FA.F.15
Determine the rate of change of a linear function from a description of a relationship or from two (x, y) values, including reading these from a table or from a...
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