Tables and Double Number Line Diagrams

Warmup


Activity #1

Construct Tables and Double Number Line Diagrams.

A bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic. 

  • Complete the table to show different-sized batches of bread that taste the same as the recipe.​
  • Draw a double number line that represents the same situation above.

Activity #2

Construct Tables and Double Number Line Diagrams.

The double number line below shows how much water and how much lemonade powder to mix to make different amounts of lemonade.

  • Make a table below that represents the same situation.

Han can run 100 meters in 20 seconds. He wonders how long it would take him to run 3,000 meters at this rate. He made a table of equivalent ratios.

(1). Do you agree that this table represents the situation? Explain your reasoning.

  • Complete the last row with the missing number.

(2) What question about the situation does this missing number you entered in above answer?

(3). What could Han do to improve his table?


Activity #3

Construct Tables and Double Number Line Diagrams.

The double number line shows how much water and how much lemonade powder to mix to make different amounts of lemonade.

  • Make a table that represents the same situation.

A bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic.

  • Complete the table to show different-sized batches of bread that taste the same as the recipe.

  • Draw a double number line below that represents the same situation.

Which representation do you think works better in this situation? Explain why.


Clare travels at a constant speed, as shown on the double number line.

At this rate, how far does she travel in each of these intervals of time? Explain or show your reasoning. If you get stuck, consider using the table below.

  1. 1 hour
  2. 3 hours
  3. 6.5 hours

Challenge #1


Challenge #2


Challenge #3

Lin and Diego travel in cars on the highway at constant speeds. In each case, decide who was traveling faster and explain how you know.

(1). During the first half hour, Lin travels 23 miles while Diego travels 25 miles.

(2). After stopping for lunch, they travel at different speeds. To travel the next 60 miles, it takes Lin 65 minutes and it takes Diego 70 minutes.