Virginia SOL 8.PFA.3.c
The Standard
Graph a linear function given a table, equation, or a situation in context.
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 turn values from a table, an equation, or a word problem into ordered pairs. They plot the points, draw the line, and use the slope and y-intercept to check it.
What Mastery Looks Like
- Students plot accurate integer-coordinate points, draw the line, and label the axes. They use slope and y-intercept to check that the graph matches the given information.
Common Misconceptions
- Students may switch x- and y-values when plotting ordered pairs. They may misread the y-intercept, use the slope in the wrong direction, or treat a context as unrelated points.
How to Assess It
- Give students y = -2x + 3 and ask them to graph it, label three integer-coordinate points, and circle the y-intercept.
Lesson moves
Ways to Teach It
Place tape axes on the floor, give students ordered-pair cards from a table, and have them stand at their coordinates.
Ask students to explain how the slope and y-intercept of y = 2x - 3 determine its graph.
Play Graph Match with sets of table, equation, context, and graph cards that students sort into matching groups.
Graph a taxi fare with a fixed starting fee and a constant cost per mile, then identify what each axis represents.
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Printable 8.PFA.3.c Worksheet
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Related Standards
- 6.PFA.4.b
Write a linear inequality in one variable to represent a given constraint or condition in context or given a graph on a number line.
- 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.
- 8.PFA.3.f
Create a context for a linear function given a graph, table, or equation in the form y = mx + b.
- 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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