Florida B.E.S.T. MA.8.AR.3.5
The Standard
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 an equation in slope-intercept form.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify the rate of change and starting value in a real-world situation. They explain slope with units and interpret the y-intercept as the value when x equals zero.
What Mastery Looks Like
- Students can calculate slope from two points or table entries and identify the y-intercept on a graph or in an equation. They connect both values to the situation using clear labels and units.
Common Misconceptions
- Students may reverse rise and run, or subtract coordinates in different orders. They may treat the first table value as the y-intercept even when x is not zero. They may name the numbers correctly but omit units or their meaning in context.
How to Assess It
- Give this exit ticket: A tank contains y = 120 - 8x gallons after x minutes. State and interpret the slope and y-intercept, including units.
Lesson moves
Ways to Teach It
Stack identical cups, measure each stack, then use a table and graph to identify added height per cup and starting height.
Ask students to explain why a taxi fare can have a positive y-intercept even before the taxi travels one mile.
Run a card sort matching written situations, tables, graphs, equations, slopes, and y-intercepts.
Use a streaming plan with a monthly fee and per-movie charge to interpret slope and y-intercept in dollars.
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Printable MA.8.AR.3.5 Worksheet
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Related Standards
- MA.912.AR.2.2
Write a linear two-variable equation to represent the relationship between two quantities from a graph, a written description or a table of values within a math...
- 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.3.2
Given a table, graph or written description of a linear relationship, determine the slope.
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