[Scroll to the tool under "3.2: Cliffs and Caves"]
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.
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.
A spelunker 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.
Question 7
7.
Complete the table.
Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.
Question 8
8.
What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?
Your teacher will give you a long strip of paper.
Follow these instructions to create a number line.
Fold the paper in half along its length and along its width.
Unfold the paper and draw a line along each crease.
Label the line in the middle of the paper 0. Label the right end of the paper + and the left end of the paper -.
Select two objects of different lengths, for example a pen and a gluestick. The length of the longer object is a and the length of the shorter object is b.
Use the objects to measure and label each of the following points on your number line.
a
b
2a
2b
a+b
-a
-b
a+-b
b+-a
Complete each statement using <, >, or =. Use your number line to explain your reasoning.