Wyoming Math 8.F.4c
The Standard
Apply the concepts of linear functions to real-world and mathematical situations. Construct a function in slope-intercept form that models a linear relationship between two quantities.
2023 Wyoming Mathematics Content and Performance Standards · Use functions to model relationships between quantities.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the change per unit and the value when the input is zero. They use those numbers to write an equation and predict other values.
What Mastery Looks Like
- Given a table or two data points, students find the rate of change and work back to the starting value. They write an equation in slope-intercept form and check it against the data.
Common Misconceptions
- Students may use the first total in a table as the starting value, even when its input is not zero. Some divide a total by its input instead of comparing the change between two points.
How to Assess It
- A bike rental costs $14 for 2 hours and $26 for 5 hours. Write C(h) = mh + b, explain what m and b mean, and find the cost for 3 hours.
Lesson moves
Ways to Teach It
Give pairs 3 red counters for a starting cost, then 2 blue counters per hour; have them build a table and equation.
Show a graph through (0, 5) and (2, 11); ask students to write which numbers belong in y = mx + b and why.
Give pairs cards with tables, graphs, and equations; have them match sets by checking the rate of change and starting value.
Post a mock taxi sign reading '$4 pickup plus $2 per mile'; students write a fare rule and price a 7-mile ride.
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Printable 8.F.4c Worksheet
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Related Standards
- 8.F.4b
Determine the slope and the y-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descrip...
- 8.F.4d
Interpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.
- 8.EE.8c
Solve simple real-world and mathematical problems leading to two linear equations in two variables given y = mx + b form with integer solutions.
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