Warm Up Simplify the Following: 1. -17 + 9 2. -12(-9) 3. 4 + (-4) -3 4. 8 – (-3) Compare the two...
-
Upload
penelope-parker -
Category
Documents
-
view
214 -
download
1
Transcript of Warm Up Simplify the Following: 1. -17 + 9 2. -12(-9) 3. 4 + (-4) -3 4. 8 – (-3) Compare the two...
Warm Up
Simplify the Following:
1. -17 + 9
2. -12(-9)
3. 4 + (-4) -3
4. 8 – (-3)
Compare the two Integers:
5. -7 ___ -8
Answers
1. - 8
2.108
3. - 3
4.11
5.>
Math Year 1Standard 1.1.3
Lesson 1.4
Absolute Value
The absolute value of x is the distance x is from zero.
The absolute value of x is written as ___________x
What is Absolute Value?
Distance, and Absolute Value, and Word Problems…oh my!
We see absolute value in the following “real world”
applications:
•Submarines/Sea Level
•Temperature
•Distance/Height
•Numbers
•Travel
Since absolute value is the distance from zero, absolute value will always be positive.
Let’s look at a number line!
*The absolute value of 6 would be 6 because it is six units from zero.
*The absolute value of -6 would be 6 because it is six units from zero.
0
So How is Absolute Value Calculated?
-6 6
1. 2.
3. 4.
3
103
5
17
Practice…
Connecting distance and absolute value
The distance between two numbers is the absolute value of their difference .
On a number line plot -3 and 9. Find the distance between them.
Now find the difference of -3 and 9 and take the absolute value of that answer.
What did you notice?
1. What is the distance between 14 and -20?
2. Find the distance between -17 and -13.
3. Calculate the distance between 9 and 29.
)20(14
)13(17
299
More Practice!
4. 3 4
5. 26 7 2
6. 3 2 2 5 1
1. What is the change in temperature from 20 degrees to 63 degrees?
2. What is the change in temperature from a chilly -12 degrees outside and a warm 82 degrees inside?
3. A submarine is 47.8 meters below sea level. They are sending a signal to a tower 112 meters above sea level. What is the vertical distance the signal must travel?
Applications
Dive From Type Distance jumped vertically above platform
Low platform #1 Inward 1.6 ft.
High platform #2 Inward 9 inches
The low dive is 9 feet above the surface of the water. The high dive is 22 feet above the surface of the water.
The water is 16 feet deep. All divers touch bottom after a dive.
What distance did the diver travel from the low platform? The high platform?
An Olympic diver completed the following dives.
Last One!
Summary: Write two things about absolute value
Homework:Lesson 1.4 Worksheet