Florida B.E.S.T. MA.8.AR.3.3
The Standard
Given a table, graph or written description of a linear relationship, write 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 find the constant rate of change and starting value from a table, graph, or written situation. They use those values as m and b in y = mx + b.
What Mastery Looks Like
- Students correctly find the slope and y-intercept from a table, graph, or situation. They write y = mx + b with correct signs and can verify it using another point.
Common Misconceptions
- Students may reverse rise and run or ignore unequal changes in x. They may treat the first y-value in a table as the y-intercept, even when x is not zero. They also confuse initial value with rate of change in written situations.
How to Assess It
- Exit ticket: Use the table x: 0, 2, 4 and y: -3, 1, 5. Write y = mx + b and show how you found m and b.
Lesson moves
Ways to Teach It
Plot table values with sticky notes, draw the line, then label the rise, run, and y-intercept before writing the equation.
Ask students to explain how the words “starts at” and “changes by” connect to b and m in y = mx + b.
Play a matching game with cards showing tables, graphs, situations, and equations that represent the same linear relationship.
Use a taxi fare with a starting fee and cost per mile, then write and interpret its equation.
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Related Standards
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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...
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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.3.5
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.8.AR.3.2
Given a table, graph or written description of a linear relationship, determine the slope.
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