Exploring Ratios and Their Applications

Mr. Buffington introduces ratios, explaining how to write them in word, colon, and fraction forms. He discusses how to interpret word problems into ratios and highlights the importance of understanding the order of terms. The lesson covers equivalent ratios, including how to simplify them using the greatest common factor, and introduces unit rates, explaining their significance and how to calculate them.

How many main ways are there to write a ratio?

• Four

• Two

• Five

• Three

What is the ratio of 3 to 4 in fraction form?

• 3/4

• 4/3

• 3:4

• 4 to 3

If you have two dogs and three cats, how would you write the ratio of dogs to cats?

• 2/3

• 3/2

• 3 to 2

• 2 to 3

In a parking lot with 5 cars and 2 trucks, how is the ratio of cars to trucks written?

• 2/5

• 5/2

• 2 to 5

• 5 to 2

If a class has 5 girls and 7 boys, what is the ratio of girls to the total number of students?

• 7 to 5

• 5 to 7

• 12 to 5

• 5 to 12

How do you find an equivalent ratio?

• By subtracting the same number from both sides

• By adding the same number to both sides

• By multiplying both sides by the same number

• By dividing both sides by the same number

What is the first step in simplifying a ratio to find its equivalent?

• Add the numerator and denominator

• Subtract the numerator from the denominator

• Divide the numerator and denominator by their greatest common factor

• Multiply the numerator and denominator by the same number

What is a unit rate?

• A ratio that can't be simplified further

• A ratio of two like units

• A ratio with a denominator of 1

• A ratio with a numerator of 1

What does the ratio 15 to 3 simplify to as a unit rate?

• 3 to 1

• 15 to 3

• 5 to 1

• 1 to 5

How can you write the ratio of 5 miles per hour in terms of a unit rate?

• 1/5

• 5/1

• 1:5

• 5:1