Florida B.E.S.T. MA.8.AR.3.2
The Standard
Given a table, graph or written description of a linear relationship, determine the slope.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the constant rate of change from paired values, plotted points, or a situation. They calculate change in y divided by change in x and interpret the sign and units.
What Mastery Looks Like
- Students correctly find the same slope using any two points in the relationship. They show the changes, simplify the ratio, and describe the rate with correct units.
Common Misconceptions
- Students may divide the change in x by the change in y or use coordinates instead of differences. They may miss a negative slope or assume every rate is positive. Unequal x-intervals can also lead them to compare y-values without finding unit rate.
How to Assess It
- Exit ticket: A table contains the points (2, 11), (5, 5), and (8, -1). Find the slope and explain what its sign means.
Lesson moves
Ways to Teach It
Plot two points on a floor grid with tape, measure horizontal and vertical changes, then write the slope as rise divided by run.
Ask, "A tank loses 6 liters every 3 minutes. What does the slope mean?" Students write and compare explanations.
Match table, graph, and situation cards that share a slope, then justify each match to a partner.
Use a phone plan showing cost by gigabytes to calculate and interpret the monthly cost per gigabyte.
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Printable MA.8.AR.3.2 Worksheet
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Related Standards
- MA.8.AR.3.4
Given a mathematical or real-world context, graph a two-variable linear equation from a written description, a table or an equation in slope-intercept form.
- MA.8.AR.3.3
Given a table, graph or written description of a linear relationship, write an equation in slope-intercept form.
- MA.8.AR.3.5
Given a real-world context, determine and interpret the slope and y-intercept of a two-variable linear equation from a written description, a table, a graph or ...
- MA.912.AR.2.4
Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
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