Ratios and Double Number Lines

The video tutorial covers lesson six, activity two, focusing on drink mix ratios using a double number line. It revisits a previous lesson on powdered drink mix and water, explaining how to calculate equivalent ratios and compare different representations. The tutorial demonstrates how to use a double number line to calculate quantities for multiple batches and discusses the benefits of this method over discrete diagrams.

What was the ratio of drink mix to water in one batch?

• 4 teaspoons of drink mix to 1 cup of water

• 4 teaspoons of drink mix to 2 cups of water

• 2 teaspoons of drink mix to 1 cup of water

• 8 teaspoons of drink mix to 2 cups of water

How many teaspoons of drink mix are needed for a double batch?

• 8 teaspoons

• 10 teaspoons

• 6 teaspoons

• 4 teaspoons

Why are 4:1 and 12:3 considered equivalent ratios?

• Both ratios have the same sum

• Both ratios are multiples of the same numbers

• Both ratios are prime numbers

• Both ratios have the same difference

What is a key difference between discrete diagrams and double number line diagrams?

• Discrete diagrams use pictures, while double number lines use numbers

• Discrete diagrams are easier to draw

• Discrete diagrams are more accurate

• Double number lines are less flexible

How many teaspoons of drink mix are needed for three cups of water?

• 12 teaspoons

• 10 teaspoons

• 14 teaspoons

• 8 teaspoons

What number should be in the empty box for five cups of water on the double number line?

• 28

• 16

• 20

• 24

What is the benefit of using a double number line diagram?

• It is more colorful

• It allows for easier scaling of quantities

• It uses fewer numbers

• It is simpler to draw

How should the scale be set on a double number line diagram?

• Both lines should increase by the same amount

• One line should increase by one, the other by four

• One line should increase by two, the other by three

• Both lines should decrease

What does the number 20 represent on the double number line?

• 20 batches

• 20 liters of water

• 20 cups of water

• 20 teaspoons of drink mix

How many batches are represented by 20 teaspoons of drink mix?

• 3 batches

• 4 batches

• 5 batches

• 6 batches