Solving Proportions Challenge

This video tutorial by Miss Top introduces seventh graders to solving proportions. It covers key vocabulary such as proportions, cross products, and the constant of proportionality. The tutorial provides examples of solving proportions using cross products and applies these concepts to real-world scenarios like blood donation and recycling. It also demonstrates using the constant of proportionality to solve problems, such as calculating gasoline costs and typing speed. The video encourages students to rewatch, read examples, and ask questions for better understanding.

What is a proportion in mathematical terms?

• A type of mathematical operation

• An equation stating two ratios are equivalent

• A method to divide numbers

• A formula for addition

What are cross products in a proportion?

• The product of the diagonal terms

• The sum of the products of the outer terms

• The difference between the diagonal terms

• None of the above

How can cross products be used to solve proportions?

• By equating them

• By subtracting them

• By dividing them

• By adding them

In the example, how long will it take for the temperature to rise an additional 13 degrees Fahrenheit?

• 2 hours

• 5 hours

• 4 hours

• 3.7 hours

What is the constant of proportionality in the context of proportions?

• A constant subtraction value

• The constant ratio between two proportional quantities

• A variable that changes

• The constant sum of all terms

How many type O blood donors would you expect in a group of 300 donors?

• 130

• 120

• 150

• 139

How many trees can be saved by recycling 5000 pounds of paper?

• 35 trees

• 45 trees

• 50 trees

• 42.5 trees

What is the cost for 11 gallons of gasoline at the given rate?

• $30.69

• $25.00

• $35.00

• $40.00

How long would it take Olivia to type 10 pages at her current rate?

• 60 minutes

• 75 minutes

• 90 minutes

• 120 minutes

How many minutes will it take Olivia to type 25 pages?

• 175 minutes

• 150 minutes

• 200 minutes

• 187.5 minutes