January 8: Proportional Problem Solving

January 8: Proportional Problem Solving

Using ratio reasoning to solve problems

Warm Up

Mercedes made a table that shows the relationship between the total number of cards and the number of packs of cards. Each pack has the same number of cards. Mercedes made an error in one row. Find the error.

Multiple Choice

Which row contains Mercedes' error?

• Row 1: 13, 2

• Row 2: 65, 5

• Row 3: 91, 7

• Row 4: 130, 10

• Row 5: 156, 32

Group Practice 1

Miranda runs 600 yards in 3 minutes at a constant rate. Write the number of yards Miranda runs in 45 seconds.

Multiple Choice

What Miranda's known rate?

Miranda runs 600 yards in 3 minutes at a constant rate. Write the number of yards Miranda runs in 45 seconds.

• 600 yards in 3 minutes

• 600 yards in 45 seconds

• 3 minutes to 45 seconds

Multiple Choice

How many seconds in one minute?

(Miranda runs 600 yards in 3 minutes at a constant rate. Write the number of yards Miranda runs in 45 seconds.)

• 15 seconds

• 30 seconds

• 60 seconds

• 100 seconds

Converting 3 minutes to seconds:

• Use the conversion factor: 1 minute = 60 seconds

•  $\frac{1\ \min}{60\ \sec}=\frac{3\ \min}{\ \ \sec}$  

Multiple Choice

Rewrite the ratio of distance to time, replacing the minutes with seconds.

Original ratio: 600 yards in 3 minutes

3 minutes converted to seconds is 180 seconds.

• $\frac{3\ \min}{60\ \sec}$

• $\frac{600\ yd}{3\ \min}$

• $\frac{600\ yd}{180\ \sec}$

• $\frac{3\ \min}{180\ \sec}$

Use scale factor to find the missing value.

You will enter your answer in the next slide!

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Use unit rate to find the missing value.

You will enter your answer in the next slide.

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