Double Number Line Ratios and Diagrams

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 also demonstrates how to fill in missing values on a double number line and discusses the benefits of using this method over discrete diagrams.

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

• 8 teaspoons of drink mix to 2 cups of water

• 6 teaspoons of drink mix to 2 cups of water

• 4 teaspoons of drink mix to 1 cup of water

• 2 teaspoons of drink mix to 1 cup of water

What is the purpose of using a double number line diagram in this lesson?

• To compare different brands of drink mix

• To calculate the cost of making the drink mix

• To represent the batches of drink mix and water visually

• To show the relationship between different types of drinks

How can we determine that the ratios 4:1 and 12:3 are equivalent?

• By subtracting the smaller number from the larger one

• By multiplying both terms of the first ratio by 3

• By adding the numbers in each ratio

• By dividing the first term by the second term

Which of the following is NOT a characteristic of equivalent ratios on a double number line?

• They line up vertically

• They have the same scale factor

• They are represented by different colors

• They maintain the same proportion

What is one way the discrete diagram differs from the double number line diagram?

• The discrete diagram is easier to draw than the double number line

• The discrete diagram is more accurate than the double number line

• The discrete diagram uses pictures, while the double number line uses numbers

• The discrete diagram shows more batches than the double number line

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

• 8 teaspoons

• 10 teaspoons

• 12 teaspoons

• 14 teaspoons

If you have 16 teaspoons of drink mix, how many cups of water should you use?

• 4 cups

• 2 cups

• 3 cups

• 5 cups

What number should be placed in the empty box on the double number line for 5 cups of water?

• 20

• 22

• 18

• 16

What is a benefit of using double number line diagrams over discrete diagrams?

• They are more colorful

• They require less space

• They can represent larger quantities more easily

• They are simpler to draw

What do the numbers on the tick marks of a double number line represent?

• The amount of drink mix and water

• The number of batches

• The cost of ingredients

• The scale of the diagram