Florida B.E.S.T. MA.7.AR.4.3
The Standard
Given a mathematical or real-world context, graph proportional relationships from a table, equation or a written description.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify pairs of related values and plot them on a coordinate plane. They connect the points, check that the line passes through the origin, and relate its steepness to the unit rate.
What Mastery Looks Like
- Students create an accurate graph with labeled axes, equal intervals, and a line through the origin. They use the unit rate to find points and explain what a point means in context.
Common Misconceptions
- Students may draw a line that does not pass through the origin or treat any straight line as proportional. They may switch the axes, use uneven scales, or confuse the unit rate with an ordered pair.
How to Assess It
- Give students the rule y = 2.5x and ask them to make a table with four points, graph the points, and label the unit rate.
Lesson moves
Ways to Teach It
Mix one scoop of drink powder with two cups of water, record several batches, then plot cups of powder and water.
Ask students to explain in writing how a graph shows whether two quantities are proportional.
Run a card sort matching tables, equations, descriptions, and graphs that represent the same proportional relationship.
Use a grocery price, such as $3 per pound, to graph total cost for different weights and interpret selected points.
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Related Standards
- MA.7.AR.4.1
Determine whether two quantities have a proportional relationship by examining a table, graph or written description.
- MA.7.AR.4.4
Given any representation of a proportional relationship, translate the representation to a written description, table or equation.
- 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.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...
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