Solving Proportions: Key Techniques and Strategies

The video tutorial introduces seventh graders to the concept of proportions and explores three methods to solve them: equivalent fractions, unit rate, and cross products. The teacher provides examples and practice problems, emphasizing the importance of choosing the right strategy for different types of problems. The tutorial also includes a task for students to apply these strategies in a structured manner.

What is the first step in solving proportions using equivalent fractions?

• Identify the magic number

• Divide both sides by the same number

• Find the cross product

• Add the fractions

If 4 times 4 equals 16, what is 15 times 4?

• 65

• 50

• 45

• 60

What is the magic number between 9 and 45 in the unit rate method?

• 4

• 3

• 5

• 6

How do you solve for x in the equation 3x = 39.3?

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

What is the cross product of 1/2 and 22/44?

• 88

• 66

• 44

• 22

Which strategy would be most effective for solving 5/9 = x/45?

• Equivalent fractions

• Unit rate

• Cross products

• None of the above

What is the magic number for solving 11/5 = 110/x using unit rate?

• 11

• 8

• 9

• 10

Which strategy would you use to solve 3/4 = x/12?

• Unit rate

• None of the above

• Equivalent fractions

• Cross products

What is the correct strategy for solving 7/8 = x/64?

• Equivalent fractions

• Cross products

• None of the above

• Unit rate

How many strategies should be used in each row of the final task?

• One

• Two

• Three

• Four