Florida B.E.S.T. MA.7.AR.4

MA.7.AR.4 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.7.AR.4.1

  Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

• MA.7.AR.4.2

  Determine the constant of proportionality within a mathematical or real-world context given a table, graph or written description of a proportional relationship...

• MA.7.AR.4.3

  Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.

• MA.7.AR.4.4

  Given any representation of a proportional relationship, translate the representation to a written description, table or equation.

• MA.7.AR.4.5

  Solve real-world problems involving proportional relationships.

01

What Students Need to Do

Students determine whether two quantities change at a constant rate compared with each other. They connect the same relationship across a table, graph, equation, and context, then interpret the unit rate.

02

What Mastery Looks Like

Students can decide whether a table, graph, equation, or situation shows a proportional relationship. They can find the constant of proportionality, write y = kx, graph the relationship through the origin, and explain the unit rate.

03

Common Misconceptions

Students may treat any relationship with a steady increase as proportional, even when the graph does not pass through the origin. They may switch the variables when finding the unit rate or write y = x + k instead of y = kx.

04

How to Assess It

Exit ticket: A bike travels 18 miles in 1.5 hours. Complete a table, write an equation, plot three points, and explain what the constant means.

1. 01

   Give pairs measuring cups and water; students create mixtures with one fixed ratio, record a table, and graph the results.

2. 02

   Show two graphs, one through the origin and one not, and ask students to defend which relationship is proportional.

3. 03

   Play a card sort matching tables, equations, graphs, and unit rates that describe the same proportional relationship.

4. 04

   Compare grocery prices by finding cost per item, writing y = kx, and predicting the cost of a different quantity.

• MA.8.AR.3

  Extend understanding of proportional relationships to two-variable linear equations.

• MA.8.AR.3.1

  Determine if a linear relationship is also a proportional relationship.