Florida B.E.S.T. MA.8.AR.3

MA.8.AR.3 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.8.AR.3.1

  Determine if a linear relationship is also a proportional relationship.

• MA.8.AR.3.2

  Given a table, graph or written description of a linear relationship, determine the slope.

• 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.3.4

  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.3.5

  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 ...

01

What Students Need to Do

Students connect constant rates to equations of the form y = mx + b. They use tables, graphs, equations, and situations to identify the rate of change and starting value.

02

What Mastery Looks Like

Students can move accurately among a context, table, graph, and equation. They identify the rate of change and starting value, and explain that a linear relationship is proportional only when its graph passes through the origin.

03

Common Misconceptions

Students may assume every linear relationship is proportional. They may confuse slope with the starting value or expect y divided by x to stay constant when the intercept is not zero.

04

How to Assess It

Exit ticket: A taxi ride costs $4 plus $2 per mile. Write an equation, identify the slope and intercept, and explain why the relationship is not proportional.

1. 01

   Build cube trains that start with two cubes and grow by three, then record the step number and total in a table.

2. 02

   Ask students to explain in writing how y = 3x and y = 3x + 5 are alike and different.

3. 03

   Run a card sort matching linear equations with tables, graphs, slopes, intercepts, and proportional or nonproportional labels.

4. 04

   Compare two phone plans with different monthly fees and per-gigabyte charges, then write equations and decide when each plan costs less.

• MA.7.AR.4

  Analyze and represent two-variable proportional relationships.

• 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.7.AR.4.5

  Solve real-world problems involving proportional relationships.