Florida B.E.S.T. MA.912.F.1.3
The Standard
Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the change in output and divide by the change in input between two given endpoints. They explain what the result means using the situation's units and context.
What Mastery Looks Like
- Students select the correct endpoint values and compute the change in output divided by the change in input. They interpret the result with its sign, units, interval, and meaning in the situation.
Common Misconceptions
- Students may divide input change by output change, use only one endpoint, or subtract in inconsistent orders. They may confuse average rate with an output value or an instantaneous rate. Many omit the sign, units, or context from their interpretation.
How to Assess It
- Give a table showing 140 liters at hour 2 and 92 liters at hour 6. Ask students to calculate the average rate and explain what it means.
Lesson moves
Ways to Teach It
Measure the height of stacks of one through six nested cups, then calculate and interpret the average height increase per added cup.
Display a cooling graph, then have students explain the average rate from minute 2 to minute 8, including its sign and units.
Give pairs matching cards with graphs, tables, equations, intervals, rates, and context statements, then have them race to build correct sets.
Use a car trip table with time and odometer readings to calculate average speed over two intervals and compare traffic conditions.
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Printable MA.912.F.1.3 Worksheet
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Related Standards
- MA.912.AR.5.5
Given an expression or equation representing an exponential function, reveal the constant percent rate of change per unit interval using the properties of expon...
- MA.912.C.3.8
Find average and instantaneous rates of change. Explain the instantaneous rate of change as the limit of the average rate of change. Interpret a derivative as a...
- MA.912.C.4.3
Interpret a definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval.
- MA.912.C.3.10
Model and solve problems involving rates of change, including related rates.
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