Wyoming Math 8.F.4
Standard Cluster
Apply the concepts of linear functions to real-world and mathematical situations. Understand that the slope is the constant rate of change and the y-intercept is the point where x = 0. Determine the slope and the y-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descriptions. Construct a function in slope-intercept form that models a linear relationship between two quantities. Interpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.
2023 Wyoming Mathematics Content and Performance Standards · Use functions to model relationships between quantities.
Cluster contents
Standards in This Cluster
8.F.4 is a cluster heading. These are the individual standards under it.
- 8.F.4a
Understand that the slope is the constant rate of change and the y-intercept is the point where x = 0.
- 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.4c
Construct a function in slope-intercept form that models a linear relationship between two quantities.
- 8.F.4d
Interpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students find the rate of change and starting value from points, tables, graphs, equations, and word problems. They write an equation and explain what its numbers mean in the situation.
What Mastery Looks Like
- Given fares of $7 for 2 miles and $13 for 5 miles, a student writes y = 2x + 3. They explain that the fare rises $2 per mile and costs $3 at zero miles.
Common Misconceptions
- Students may call the first listed y-value the starting value, even when x is not zero. They may divide y by x to find the rate instead of comparing changes between two points.
How to Assess It
- Exit ticket: A cab charges $7 for 2 miles and $13 for 5 miles. Write a fare equation, then explain what each number in it means.
Lesson moves
Ways to Teach It
Build cab fares with $1 counters: start with $3, add $2 per mile, then graph totals for 0 through 4 miles.
Ask: A fare is $7 at 2 miles and $13 at 5 miles. Is the starting fee $7? Explain.
Match cards showing points (0,3) and (2,7), a table with those values, a graph of the line, and y = 2x + 3.
Use a phone plan with a $12 monthly fee and $3 per gigabyte; write the cost equation and explain each number.
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Printable 8.F.4 Worksheet
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Related Standards
- 7.EE.4
Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.
- 7.G.6
Solve real-world and mathematical problems involving:
- 8.EE.7
Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situat...
- 7.SP.1
Solve real-world and mathematical problems involving:
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