Ratios and Rates with Fractions

Warmup

Activity #1

Scale Drawing.

In real life, the Mona Lisa measures 2 ½ feet by 1 ¾ feet. A company that makes office supplies wants to print a scaled copy of the Mona Lisa on the cover of a notebook that measures 11 inches by 9 inches.

• Use the slider and the small red circle to play around with the Mona Lisa image and answer the questions that follow.

(1.) What size should they use for the scaled copy of the Mona Lisa on the notebook cover?

(2.) What is the scale factor from the real painting to its copy on the notebook cover?

(3.) Did you use the same scale factor? If not, is one more reasonable than the other?

Activity #2

More Scale Drawing.

• Use the circle tool , to draw a scaled copy of the circle below using a scale factor of 2.

(1.) How does the circumference of the scaled copy compare to the circumference of the original circle?

(2.) How does the area of the scaled copy compare to the area of the original circle?

• Read the following and answer the questions that follow.

Lin ran miles in of an hour, Noah ran miles in of an hour.

Activity #3

Exercise on Ratio Problems.

• Answer as many questions in the applet below as you can.
• Always endeavor to solve a problem correctly before attempting a new one.

Challenge #1

At a deli counter,

• Someone bought pounds of ham for $14.50.​
• Someone bought  pounds of turkey for $26.25.​
• Someone bought  pounds of roasted beef for $5.50.

Explain how you know.

Explain how you know.

Challenge #2

Nothing can go faster than the speed of light, which is 299,792,458 meters per second.

Challenge #3

A cyclist rode 3.75 miles in 0.3 hours.

Quiz Time

https://www.ixl.com/math/grade-7/calculate-unit-rates-with-fractions