Proportions Lesson 5.2

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Mathematics

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6th - 9th Grade

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CCSS

7.RP.A.2A

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6 Slides • 6 Questions

Proportions

Lesson 5.2

Proportions

A proportion is an equation stating that two ratios are equivalent. Two quantities that form a proportion are proportional.
$\frac{2}{3}=\frac{4}{6}$

Determining Whether Ratios Form a Proportion

Tell whether $\frac{6}{4}$ and $\frac{8}{12}$ form a proportion.
Simplify each fraction to compare.

Determining Whether Two Quantities are Proportional

Tell whether x and y are proportional.
Compare each ratio x to y in simplest form.

Multiple Choice

Tell whether the ratios form a proportion.

\frac{1}{2},\ \frac{5}{10}

yes

Multiple Choice

Tell whether the ratios form a proportion.

\frac{4}{6},\frac{18}{24}

yes

Multiple Choice

Tell whether the ratios form a proportion.

\frac{25}{20},\frac{15}{12}

yes

Multiple Choice

Tell whether the ratios form a proportion.

\frac{10}{3},\frac{5}{6}

yes

Multiple Choice

Tell whether x and y are proportional.

yes

Identifying Proportional Relationships

You swim your first 4 laps in 2.4 minutes. You complete 16 laps in 12 minutes. Is the number of laps proportional to your time?
Set up a rate for each.
Find the unit rate and compare OR use cross products to compare.

Multiple Choice

You read the first 20 pages of a book in 25 minutes. You read 36 pages in 45 minutes. Is the number of pages proportional to your time?

yes

Proportions

Lesson 5.2

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