Florida B.E.S.T. MA.912.AR.2.2
The Standard
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 mathematical or real-world context.
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 from a graph, table, or situation. They define the variables and use those values to build an equation connecting the two quantities.
What Mastery Looks Like
- Students correctly calculate the rate of change and determine the value when the input is zero. They define both variables, write an equivalent equation such as y = mx + b, and verify it with given points.
Common Misconceptions
- Students may divide changes in the wrong order or switch the roles of the two variables. They often use a table’s first output as the starting value, even when the first input is not zero. Some assume every relationship is proportional and leave out a nonzero constant term.
How to Assess It
- Use this exit ticket: A table contains (2, 11), (5, 23), and (8, 35). Write an equation relating x and y, then label the rate and starting value.
Lesson moves
Ways to Teach It
Give pairs linking cubes to build towers with heights 5, 8, 11, and 14, then record inputs and write the matching equation.
Ask students to compare y = 3x + 4 and y = 4x + 3, then explain which represents a $4 fee plus $3 per item.
Play Equation Match with cards showing graphs, tables, situations, and equations, and have teams assemble sets representing the same relationship.
Show a taxi fare with a $2.50 pickup charge and $1.80 per mile, then have students define variables and model total cost.
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Printable MA.912.AR.2.2 Worksheet
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Related Standards
- MA.912.AR.9.1
Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.
- 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.912.AR.3.4
Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical o...
- MA.912.AR.2.7
Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world c...
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