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
216 -
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...
![Page 1: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/1.jpg)
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.>
![Page 2: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/2.jpg)
Math Year 1Standard 1.1.3
Lesson 1.4
Absolute Value
![Page 3: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/3.jpg)
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?
![Page 4: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/4.jpg)
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
![Page 5: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/5.jpg)
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
![Page 6: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/6.jpg)
1. 2.
3. 4.
3
103
5
17
Practice…
![Page 7: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/7.jpg)
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?
![Page 8: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/8.jpg)
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!
![Page 9: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/9.jpg)
4. 3 4
5. 26 7 2
6. 3 2 2 5 1
![Page 10: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/10.jpg)
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
![Page 11: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/11.jpg)
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!
![Page 12: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062714/56649d215503460f949f5c84/html5/thumbnails/12.jpg)
Summary: Write two things about absolute value
Homework:Lesson 1.4 Worksheet