IM 6.2.13 Lesson: Tables and Double Number Line Diagrams
Find the following quotients mentally.
[math]150\div2[/math]
[math]150\div4[/math]
[math]150\div8[/math]
Locate and label the quotients on the number line.
The other day, we saw that Han can run 100 meters in 20 seconds. [br][br]Han wonders how long it would take him to run 3,000 meters at this rate. He made a table of equivalent ratios.[br][br]Do you agree that this table represents the situation? Explain your reasoning.[br][img]data:image/png;base64,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[/img]
Complete the last row with the missing number.
What question about the situation does this number answer?[br]
What could Han do to improve his table?
Priya can bike 150 meters in 20 seconds.
At this rate, how long would it take her to bike 3,000 meters?[br]
Priya’s neighbor has a dirt bike that can go 360 meters in 15 seconds. At this rate, how long would it take them to ride 3,000 meters?[br]
The International Space Station orbits around the Earth at a constant speed. Your teacher will assign you either the double number line or the table that represents this situation. Complete the parts of your representation that you can figure out for sure
Share information with your partner, and use the information that your partner shares to complete your representation.[br][br]What is the speed of the International Space Station?
Look at the two completed representations side by side. Discuss with your partner some ways in which they are the same and some ways in which they are different.[br][br]Record at least one way that they are the same and one way they are different.
Earth’s circumference is about 40,000 kilometers and the orbit of the International Space Station is just a bit more than this. About how long does it take for the International Space Station to orbit Earth?
IM 6.2.13 Practice: 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 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.[br][list=1][*]1 hour[/*][*]3 hours[/*][*]6.5 hours[/*][/list]
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.
During the first half hour, Lin travels 23 miles while Diego travels 25 miles.
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.
A sports drink recipe calls for [math]\frac{5}{3}[/math] tablespoons of powdered drink mix for every 12 ounces of water. How many batches can you make with 5 tablespoons of drink mix and 36 ounces of water? Explain your reasoning.
In this cube, each small square has side length 1 unit.
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[/img][br]What is the surface area of this cube?
What is the volume of this cube?