Double Number Line Diagrams in Mixtures

Mrs. Nelson introduces double number line diagrams in Unit 2, Lesson 6. The lesson focuses on labeling these diagrams to represent batches of a recipe or color mixture, specifically an orange paint recipe with a 2:3 ratio of yellow to red paint. The video explains how to use the diagram to calculate the amount of paint needed for multiple batches, emphasizing the vertical relationship between batches. The lesson concludes with a review of the objectives and the concept of equivalent ratios.

What is the main objective of using double number line diagrams in this lesson?

• To measure the speed of moving objects

• To calculate the area of geometric shapes

• To represent batches of a recipe or color mixture

• To solve complex algebraic equations

In the example given, how many cups of yellow paint are used for every three cups of red paint?

• Three cups

• One cup

• Four cups

• Two cups

What does the horizontal line on the double number line diagram represent?

• The number of batches

• The total amount of paint

• The number of cups of yellow paint

• The number of cups of red paint

What is the purpose of labeling the double number line diagram?

• To measure the time taken to mix

• To calculate the cost of paint

• To represent the number of cups needed for each batch

• To identify the colors used

How many batches are represented if you use six cups of yellow paint and nine cups of red paint?

• Three batches

• Two batches

• One batch

• Four batches

If you wanted to make no paint, how many cups of yellow and red paint would you use?

• Three cups of each

• One cup of each

• Two cups of each

• Zero cups of each

For a double batch, how many cups of yellow paint are needed?

• Two cups

• Six cups

• Four cups

• Eight cups

How many cups of red paint are needed for three batches?

• Three cups

• Six cups

• Nine cups

• Twelve cups

What is the vertical relationship in the double number line diagram used to represent?

• The time taken to mix

• The speed of mixing

• The equivalent ratio for the original mixture

• The total amount of paint

What does each vertical pair on the double number line diagram represent?

• A different color mixture

• An equivalent ratio for the original mixture

• A new recipe

• A single batch