EQ: How are proportions used to solve real-world problems?

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Presentation transcript:

EQ: How are proportions used to solve real-world problems?

Definition: Two equivalent (equal) ratios What is a proportion? Definition: Two equivalent (equal) ratios 2:3 as 6:9 2 is to 3 as 6 is to 9 Start Proportion Frayer GO with this slide.

Do 2 ratios form a proportion? Cross-products Scale factor •3 = •3 ≠ •3 = •3 = On GO yes no yes no

Review… Proportional?

Proportional?

Is it a proportion?

Is it a proportion?

Think, Pair, Share Tell your partner what x would be in this proportion:

How are proportions solved? 1) Reduce the fractions Try on GO, then discuss reducing first. 2) Set the cross-products equal to each other 12 = 3x 3 3 4 = x

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EQ: How are proportions used to solve real-world problems? Day 2 starts here

4in. per 10min. is to x in. per 20 min. Proportion Problems Example: 4in. per 10min. is to x in. per 20 min. Be consistent in placing information!

Word Problems Make sure units match in the proportion Again, be consistent in placing information Solve by cross-multiplying

Let’s try it!! A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour? 9 = 6x 6 6 x = 1.5in