Florida B.E.S.T. MA.7.AR.4.5

Math7th GradeAnalyze and represent two-variable proportional relationships.

The Standard

Solve real-world problems involving proportional relationships.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students identify the two related quantities and find the constant rate connecting them. They use tables, equations, graphs, or calculations to find missing values and interpret answers with units.
What Mastery Looks Like: Students find the unit rate, write an equation such as y = kx, and use it to calculate an unknown value. They label units and explain what the answer means in context.
Common Misconceptions: Students may add the same amount instead of multiplying by a constant rate. They may divide the quantities in the wrong order or treat relationships with a starting fee as proportional.
How to Assess It: Exit ticket: Five pounds of apples cost $8.75. Find the cost of 8 pounds, write an equation, and explain what the constant means.

Lesson moves

Give pairs measuring cups and colored water; they double and triple a drink recipe, then record ingredient amounts in a table.
Have students respond in writing to the prompt: Is a $4 fee plus $2 per mile proportional, and why?
Run a task-card relay where teams find unit rates, write equations, and solve missing-value problems before checking at a station.
Use grocery ads to compare unit prices and calculate the expected cost of different quantities when price stays proportional.

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