Wyoming Math S.ID.6a
The Standard
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Use a function to describe data trends to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
2023 Wyoming Mathematics Content and Performance Standards · Summarize, represent, and interpret data on two categorical and quantitative variables.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students plot paired measurements on a scatter plot. They describe the direction and shape of the pattern. They use a given function or choose a linear, quadratic, or exponential model to answer a question about the data.
What Mastery Looks Like
- A student plots each pair on labeled axes and describes the trend. They choose or use a fitting function, predict a value with units, and check whether the answer makes sense.
Common Misconceptions
- Students may swap the axes or plot the two lists separately. They may choose a line for any upward trend, even when the points curve. They may treat predictions far beyond the measured data as certain.
How to Assess It
- Exit ticket: Plot these (miles, fare) pairs: (0, 4), (1, 6), (2, 8), (3, 10). Describe the trend, write a fitting function, and predict the fare for 4 miles.
Lesson moves
Ways to Teach It
Tape a coordinate grid to the wall; students place sticky notes for time-distance pairs (0, 0), (1, 3), (2, 7), (3, 10).
Write (0, 2), (1, 4), (2, 8), and (3, 16) on the board; ask why a line would miss later values.
Give students equation cards for y = 2x + 3, y = x², and y = 3(2ˣ) to match with plotted graphs.
Start a savings account at $100 with 10% yearly interest; have students plot five yearly balances and predict the sixth.
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Printable S.ID.6a Worksheet
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