Mastering Proportions through Number Sense and Scaling

What is a proportion?

• A way to calculate percentages

• A technique to solve quadratic equations

• A method to find the greatest common divisor

• An equation that states two ratios are equal

Which method involves finding the scale factor left to right or right to left?

• Method 1

• Method 2

• Method 3

• None of the above

What is the first step in Method 1 for solving proportions?

• Find the scale factor left to right or right to left

• Simplify one of the fractions

• Multiply the numerator and denominator

• Divide the numerator and denominator

Which method involves scaling top to bottom or bottom to top?

• Method 3

• None of the above

• Method 2

• Method 1

What is the first step in Method 2 for solving proportions?

• Scale top to bottom or bottom to top

• Simplify one of the fractions

• Multiply the numerator and denominator

• Find the scale factor left to right

Which method involves simplifying one of the fractions first?

• Method 3

• None of the above

• Method 1

• Method 2

What is the first step in Method 3 for solving proportions?

• Simplify one of the fractions

• Scale top to bottom or bottom to top

• Multiply the numerator and denominator

• Find the scale factor left to right

In the example problem '3/5 = x/20', what is the value of x?

• 15

• 12

• 10

• 8

In the example problem '23/46 = 20/x', what is the value of x?

• 40

• 46

• 23

• 20

In the example problem '8/12 = x/30', what is the value of x after simplifying?

• 30

• 15

• 20

• 25