Proportions and Word Problems Explained

The video tutorial covers proportions, focusing on solving for unknowns using cross-multiplication. It introduces the WKU method for tackling word problem proportions, providing examples with pounds to kilograms and cows to milk. The tutorial emphasizes the importance of identifying known and unknown variables and maintaining consistent units across ratios.

What does a proportion typically consist of?

• Two unequal ratios

• Two equal ratios

• Two different variables

• Two similar equations

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CCSS.7.RP.A.2A

What is the first step in solving a simple proportion?

• Cross multiply the known values

• Divide the known values

• Add the known values

• Subtract the known values

How do you solve for the unknown in a proportion problem?

• None of the above

• Multiply the known values

• Divide the cross product by the known value

• Add the cross products

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CCSS.7.RP.A.2C

What is the result of cross multiplying 3 and 18 in a proportion?

• 21

• 72

• 36

• 54

What does the 'W' in the WKU method stand for?

• What

• Why

• When

• Where

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What does the 'U' in WKU stand for?

• Underneath

• Understood

• Unknown

• Use

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In the WKU method, if you know the conversion from pounds to kilograms, where do you place kilograms in the proportion?

• Not included

• On the top

• On either side

• On the bottom

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CCSS.7.RP.A.2C

If 1 pound is equal to 0.45 kilograms, how many pounds are approximately in 6 kilograms?

• 14.5 pounds

• 13.33 pounds

• 12.2 pounds

• 15.0 pounds

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In a word problem, if '12 cows produce 70 gallons of milk', how would you set up the proportion to find out how many gallons 42 cows produce?

• 70 gallons over 12 cows

• 12 cows over 70 gallons

• 42 cows over X gallons

• 70 gallons over 42 cows

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CCSS.7.RP.A.2C

What should you look for in a sentence to solve a wordy word problem?

• Numbers and units

• Commas and periods

• Keywords and equal signs

• All of the above

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