Virginia SOL 8.PFA.3.f
The Standard
Create a context for a linear function given a graph, table, or equation in the form y = mx + b.
Virginia Standards of Learning for Mathematics · The student will represent and solve problems, including those in context, by using linear functions and analyzing their key characteristics (the value of the y-intercept (b) and the coordinates of the ordered pairs in graphs will be limited to integers).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide what the input and output represent, then invent a situation with the correct starting amount and rate of change. They include units and realistic limits.
What Mastery Looks Like
- A student writes a believable situation that matches the initial value and the change per unit. The student defines each variable, uses correct units, and explains any reasonable limits.
Common Misconceptions
- Students may treat the intercept as the change per unit or swap the meanings of x and y. They may ignore units, invent an unrealistic situation, or overlook a negative rate.
How to Assess It
- Give students y = 3x + 8. Ask them to write a matching situation, define both variables, include units, and explain what 3 and 8 mean.
Lesson moves
Ways to Teach It
Give groups cups and counters to model a starting amount plus equal additions, then write a story matching their model.
Show y = -2x + 18 and ask students to write and defend a context where both values make sense.
Play a card sort matching graphs, tables, equations, and situation cards, then have students revise one mismatched situation.
Use a taxi fare with a fixed pickup fee and charge per mile, then label the variables, units, slope, and intercept.
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Printable 8.PFA.3.f Worksheet
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Related Standards
- 8.PFA.3.c
Graph a linear function given a table, equation, or a situation in context.
- 8.PFA.3.d
Create a table of values for a linear function given a graph, equation in the form of y = mx + b, or context.
- 6.PFA.3.f
Create a verbal situation in context given a one-step linear equation in one variable.
- 8.PFA.3.e
Write an equation of a linear function in the form y = mx + b, given a graph, table, or a situation in context.
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