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Let’s see how graphs of proportional relationships differ from graphs of other relationships.
Let’s read stories from the graphs of proportional relationships.
Let’s graph more than one relationship on the same grid.
Let’s use tables, equations, and graphs to answer questions about proportional relationships.
In this section, students work with proportional relationships that are represented in tables. Students begin by reviewing situations that involve ratios and identifying which ratios are equivalent. Next, they learn to view a table of equivalent ratios as representing a proportional relationship. Students learn that all entries in one column of the table can be obtained by multiplying entries in...
In this section, students decide whether two quantities are in a proportional relationship. First, students examine tables. They calculate a unit rate for each row of the table and check whether these rates are all the same. If so, the relationship could be proportional.
Smoothie Shop A
| smoothie size (fl oz) | price ($) | dollars per ounce |
|---|---|---|
| 8 | 6 | 0.75 |
| 12... |
In this section, students use equations to represent proportional relationships and solve problems. They learn that any proportional relationship can be represented by an equation of the form , where is the constant of proportionality. Students begin by revisiting some of the same contexts that they previously examined with tables. They think about how the repeated calculations can be expressed...
In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.
The first lesson is optional because it provides an opportunity for additional practice applying the concepts from this unit to model with mathematics.
Let’s contrast relationships that are and are not proportional in four different ways.
Let’s investigate saving water.
In this section, students work with proportional relationships that are represented with graphs. Students learn that the graph of any proportional relationship lies on a line through the origin that passes through Quadrant I.
Let’s see how graphs of proportional relationships differ from graphs of other relationships.
Let’s read stories from the graphs of proportional relationships.
Let’s graph more than one relationship on the same grid.
Let’s use tables, equations, and graphs to answer questions about proportional relationships.