Exploring Proportions and Ratios

What is a proportion?

• A single ratio expressing a relationship between two quantities

• Two ratios that are equivalent

• A type of algebraic equation

• A mathematical operation similar to addition

What does it mean if two ratios are equivalent?

• They have the same numerator

• They are both greater than 1

• They have the same denominator

• They represent the same value

What is an example of a ratio?

• 1 book in 2 days

• 5 plus 10

• 100 divided by 20

• 2 times 3

Why do the units in a proportion have to be the same?

• To make the math easier

• Units do not have to be the same

• Because different units can't be compared

• To ensure the ratios are equivalent

What happens if you change the units in one of the ratios in a proportion?

• The proportion turns into an equation

• The proportion remains valid

• The proportion becomes stronger

• The proportion is no longer correct

Why can't 5 pizzas in 10 days be equivalent to 1 book in 2 days?

• Because pizzas and books are not the same unit

• Because books are more valuable than pizzas

• Because 5 is not half of 10

• Because the ratios are not written correctly

What is the purpose of cross-multiplying in proportions?

• To multiply the numerators of both ratios

• To divide one ratio by the other

• To find the value of the unknown in the proportion

• To add both ratios together

What is the result of cross-multiplying 1 book in 2 days to find how many books can be read in 46 days?

• 23 books

• 12 books

• 46 books

• 92 books

How can proportions be used in real life?

• To determine the weight of the Earth

• To measure the depth of the ocean

• To calculate the speed of light

• To find unknown distances on a map

How many miles is it from Mona Loa to Hilo if 5 cm on the map equals 9 miles?

• 50 miles

• 20 miles

• 36 miles

• 45 miles