Exploring Writing Ratios in Mathematics

This lesson introduces the concept of ratios, explaining that they represent a relationship between two quantities. Ratios can be expressed in three ways: using the word 'to', a colon, or as a fraction. The lesson includes examples such as comparing the number of cats to dogs, using a double number line to solve a ratio problem, and calculating ratios in a basketball team. Emphasis is placed on the importance of order in ratios.

Which of the following is NOT a way to write a ratio?

• x / y

• x - y

• x : y

• x to y

If there are 14 cats and 17 dogs, how would you write the ratio of cats to dogs?

• 14 to 17

• 31 to 14

• 17 to 14

• 14 : 31

How do you find the total number of pets if there are 14 cats and 17 dogs?

• Divide the number of dogs by the number of cats

• Add the number of cats and dogs

• Multiply the number of cats by the number of dogs

• Subtract the number of dogs from the number of cats

Chen can ride his bike 3 miles in 15 minutes. How long will it take him to ride 18 miles?

• 90 minutes

• 75 minutes

• 45 minutes

• 60 minutes

What is the pattern in the double number line diagram for Chen's bike ride?

• Miles increase by 15, minutes increase by 3

• Miles increase by 3, minutes increase by 5

• Miles increase by 3, minutes increase by 15

• Miles increase by 5, minutes increase by 3

If a basketball team has 3 centers, 5 forwards, and 6 guards, what is the ratio of forwards to guards?

• 5 to 3

• 5 to 6

• 6 to 5

• 3 to 6

How would you write the ratio of centers to total players if there are 3 centers, 5 forwards, and 6 guards?

• 11 to 3

• 3 to 11

• 14 to 3

• 3 to 14

What is the total number of players if there are 3 centers, 5 forwards, and 6 guards?

• 12

• 14

• 11

• 13

Why is the order important when writing ratios?

• It helps in multiplication

• It is a mathematical rule

• It ensures the correct comparison

• It makes the ratio easier to read

What is the correct ratio of guards to centers if there are 6 guards and 3 centers?

• 3 to 6

• 6 to 3

• 6 to 9

• 9 to 6