Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
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 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... |
Let’s contrast circumference and area.
In this section, students learn to calculate the area of a circle and apply this to solve problems. The section begins by reviewing how to decompose regions to calculate their area. Next, students use similar strategies to estimate the areas of various circles. They see that the relationship between the diameter and area of a circle is not proportional.
Then,...
In this section, students apply proportional reasoning to solve problems involving circumference. The section begins with students measuring squares. Students learn to take into account potential measurement error when deciding whether a list of related measurements could represent a proportional relationship.
Next, students investigate circles. They learn the terms radius, diameter, and circumference, as well as a more precise meaning...
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.