Today the alien landed in the earth. I think one of the aliens are going to destroy the earth if we don't do a proportion question.

• A proportion is a relationship that says that two ratios or two rates are equal. A proportion can be expressed in fraction form:

60 sit-ups divide3 20 sit-ups 1 x5 5

__ = __

________ = ________ 2 x5 10

3 min divide3 1min

• You can solve proportional reasoning problems using several different methods.

A potato farmer can plant three potato plants per 0.5 m2. How many potato

plants can she plant in an area of 85 m2?

Use a unit rate. 3 plants

Use a unit rate

3 plants x2 6 plants

________ = _________

0.5m2 x2 1m2

6x85=510

Use a proportion

3 plants x170 ?

______ = ______

0.5 m2 x170 85m2

Missing value of ? is 3 × 170 = 510

The farmer can plant 510 potato plant.

Word Problem

A small gear turns 18 times in the same time that a large gear turns 4 times. How many times will the large gear turn if the small gear turns 54 times? Draw a diagram to help set up a proportion and solve the problem.

18 small gear turns x 3 54turns

_____________ = ___________

4 large gear turns x3 ? turns

The aliens didn't kill us. Good thing the end.

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## 1 comment:

goood job , you did a good job with the colours .

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