IM 6.7.2 Lesson: Points on the Number Line
Which of the following numbers could be ?
Here are five thermometers. The first four thermometers show temperatures in Celsius. Write the temperatures in the blanks. The last thermometer is missing some numbers. Write them in the boxes.
Elena says that the thermometer shown here reads because the line of the liquid is above . Jada says that it is . Do you agree with either one of them? Explain your reasoning.
One morning, the temperature in Phoenix, Arizona, was and the temperature in Portland, Maine, was cooler. What was the temperature in Portland?
Use the applet below to draw a number line.
- Follow the steps to make your own number line.
- Use the Line tool
to draw a horizontal line. Mark the middle point of the line with the Point tool
and label it 0.
- To the right of 0, continue using the Point tool to make marks that are 1 centimeter apart. Label the tick marks 1, 2, 3. . . 10. This represents the positive side of your number line.
- Use the Reflect Tool
to mark points on the other side of 0 so the two sides of the number line match up perfectly.
- Label the tick marks -1, -2, -3. . . -10. This represents the negative side of your number line.
- Use the Line tool
- Then use your number line to answer the questions below.
Use your number line to answer these questions:
Which number is the same distance away from zero as is the number 4?
Which number is the same distance away from zero as is the number -7?
Two numbers that are the same distance from zero on the number line are called opposites. Find another pair of opposites on the number line.
Determine how far away the number 5 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number 5.
Determine how far away the number -2 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number -2.
Here is a number line with some points labeled with letters.
Determine the location of points , , and . If you get stuck, you can check the box to reflect the number line to help you find the unknown values.
At noon, the temperatures in Portland, Maine, and Phoenix, Arizona, had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.