Mastering Proportions for 6th Graders

This video tutorial covers the concept of proportions, explaining how two ratios or rates can be equivalent. It demonstrates solving proportions through various examples, including word problems involving dogs walked over days, paint bottles needed for students, running race times, and predicting student preferences for soccer. The tutorial emphasizes simplifying fractions and using unit rates to solve proportion problems effectively.

What is a proportion?

• A statement that two ratios are equivalent

• A type of mathematical equation

• A method for dividing numbers

• A formula for calculating rates

How do you solve a proportion if one ratio is 5/11 and the other is x/44?

• Add 44 to 11 and then divide by 5

• Multiply 11 by 44 and then divide by 5

• Divide 44 by 11 and multiply by 5

• Subtract 11 from 44 and multiply by 5

In the word problem about Marcy walking dogs, how many dogs can she walk in 18 days?

• 120 dogs

• 96 dogs

• 72 dogs

• 48 dogs

What is the first step in solving a word problem involving proportions?

• Identify the variables

• Write the proportion

• Simplify the fraction

• Determine what you are comparing

What operation is needed to find the number of bottles Miss Wallace needs for 27 students?

• Division

• Multiplication

• Subtraction

• Addition

What is the simplified form of the ratio 8 bottles to 18 students?

• 1/2

• 2/3

• 8/18

• 4/9

How do you find a new proportion when you cannot directly multiply or divide to get the new number?

• By adding the numbers

• By subtracting the numbers

• By using a ratio table

• By simplifying the fraction

How long will it take KC to run a 300 meter race?

• 60 seconds

• 30 seconds

• 75 seconds

• 45 seconds

What is the unit rate of KC running meters per second?

• 4 meters/second

• 5 meters/second

• 6 meters/second

• 7 meters/second

How many students in the community would choose soccer as their favorite sport?

• 600

• 2400

• 1200

• 1800