Changing Elevation

Warmup

Draw arrows on the number lines to represent the situation:​

(1.) The temperature was -5 degrees. Then the temperature rose 5 degrees.

(2.) A climber was 30 feet above sea level. Then she descended 30 feet.5 degrees.

Activity #1

Adding Signed Numbers by Applying Changes in Elevation. 

  • Explore the applet below.

A mountaineer is climbing on a cliff. She is 200 feet above the ground. If she climbs up, this will be a positive change. If she climbs down, this will be a negative change.

  • Use the information above to complete the table below.

Write an addition equation from the data above.

  • On the graph below, draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Activity #2

Complete a Table.

A cave researcher is down in a cave next to the cliff. If she climbs down deeper into the cave, this will be a negative change. If she climbs up, whether inside the cave or out of the cave and up the cliff, this will be a positive change.

  • Use this information to complete the table below.

(1.) Write an addition equation for C and D:

(2.) What does the expression -45 + 60 tell tell us about the spelunker?

(3.) What does the value of the expression tell us?

Activity #3

Work with Directed Numbers.

These problems are intended to be completed WITHOUT the use of a calculator.

  • Move the arrow by dragging the white point.
  • Do as may problems as you can to master the concept.

Challenge #1

One of the particles in an atom is called an electron. It has a charge of -1. Moreover, there is a proton with a charge of +1. The charge of an atom is the sum of the charges of the electrons and the protons. Complete the table.

Challenge #2

Challenge #3

Quiz Time

https://www.ixl.com/math/grade-7/complete-addition-and-subtraction-equations-with-integers