Wyoming Math 8.F.4a
The Standard
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.
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 use tables, graphs, and stories to find a starting amount and how much it changes each step. They write equations to predict values, such as a bill after several hours.
What Mastery Looks Like
- Given a table that starts at x = 2, a student can work back to the value at x = 0. They can write an equation and explain what each number means, with units.
Common Misconceptions
- Students may call the first number in a table the starting value, even when the table begins at x = 1. They may confuse the amount added each step with the total, or miss that a decreasing amount has a negative slope.
How to Assess It
- Exit ticket: A tank starts with 50 liters and drains 4 liters each minute. Write an equation for the water left after m minutes, then explain what 50 and −4 mean.
Lesson moves
Ways to Teach It
Start with 20 counters, add 3 each round, and have students record and graph the total after each round.
Show y = 4x + 7 for a bike rental and ask students to explain both numbers and the cost at zero hours.
Give pairs cards with tables, graphs, and stories; have them match sets and explain each starting value and change per step.
Post a taxi fare of $5 plus $2 per mile; have students calculate fares for 0, 3, and 8 miles.
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Printable 8.F.4a 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.F.4c
Construct a function in slope-intercept form that models a linear relationship between two quantities.
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