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.
Complete the table:
Required
0
Required
1
Question 13
13.
Complete the final table:
Activity 2: Adding Rational Numbers - (10 min)
Required
0
Question 14
14.
Required
0
Question 15
15.
Required
0
Question 16
16.
Required
0
Lesson Synthesis: (10 min)
What did we Learn today?
To add two numbers with the same sign, we add their magnitudes (because the arrows point in the same direction) and keep the same sign for the sum.
To add two numbers with different signs, we subtract their magnitudes (because the arrows point in the opposite direction) and use the sign of the number with the larger magnitude for the sum.
When we add a number and its opposite, the sum is zero. These are called additive inverses.
Required
0
Question 18
18.
What is the opposite of 5? of -8? of 1/3? of -0.6?
Required
0
Required
0
Cool Down: Add Em' Up (5 min)
Required
4
Question 21
21.
Find each sum:
Required
4
Question 22
22.
Required
4
Closure Questions:
What is an additive inverse?
Inverse of addition is?
Inverse of subtraction is?
The opposite of a positive number is?
The opposite of a negative number is?
Jump Start: That's The Opposite - (5 min)
Please do silently and independently.
Question 1
1.
Draw arrows on a number line to represent these situations:
The temperature was -5 degrees. Then the temperature rose 5 degrees.
Question 2
2.
Draw arrows on a number line to represent these situations:
A climber was 30 feet above sea level. Then she descended 30 feet
Question 3
3.
Find the opposite:
Running 150 feet east
Question 4
4.
Find the opposite:
Jumping down 10 steps
Question 5
5.
Find the opposite:
Pouring 8 gallons into a fish tank.
Question 6
6.
What is the final elevation if:
A climber starts at 20 m and changes 16?
Question 7
7.
A butterfly starts at 20 m and changes -16 m?
Question 8
8.
A diver starts at 5 m and changes -16 m?
Question 9
9.
A whale starts at -9 m and changes 11?m?
Question 10
10.
A fish starts at -9 meters and changes -11 meters?
Question 12
12.
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.
Complete the 2nd table:
Question 17
17.
Question 19
19.
What is the sum of a number and its opposite?
Question 20
20.
Explain how to add two numbers with the same sign. With different signs
