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Absolute Value
1
Word Definition Example/Symbol
Absolute Value a number’s distance from zero, distance is always measured in positive values
Absolute Value Symbol
“bracket-like” lines that inform one is calculating distance from zero
0 3-3
3 3
Agenda
2
Intro to Absolute Value
Agenda
Carlos lives in the green house.Rita
Pedro
Sam
Eve
1) Explain how far away Carlos’ friends live.
2
1
1-1-2
-1
-2
2
2) Eve and Sam are at -2. Explain how they are positive 2 away from Carlos.
When we want to know distance from 0, we use
Absolute Value.
2 2
2 2
2 2
2 2
Absolute values are always positive.
3
Absolute Value & the number line
-5 -4 -3 -2 -1 0 1 2 3 4 53) Create an inequality statement (>, <) that relates the values represented by the green and red dots.
4) What are the absolute values of the quantities represented by the red and green dots?
5) Create an inequality statement that relates the absolute values of the dots.
5 4
4 4 and 5 5
4 5
Agenda
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Real world scenario: Hallway at Nia’s SchoolLibrary Health Spanish Physic
sCafé Gym Math ELA Biology
The Café is in the middle of the school’s hallway. Nia just ate lunch in the Café. After lunch, she attended class 2 rooms to the right of the café (Math). She then went 5 rooms to the left of Math. After this class she traveled 3 rooms to the right.
7) In what room does Nia finish her day?
8) After leaving the café, how many total rooms did Nia either pass by or enter? *Hint - if she passes or enters a room more than once, it should be counted again.
9) Assuming the Café is the number 0, write an equation that represents the answer to #6?
10) Assuming the Café is the number 0, write an equation that represents the answer to #7? *Hint – you will need to use absolute value symbols.
Agenda
5
Answers: Hallway at Nia’s School
Library Health Spanish Physics
Cafe Gym Math ELA Biology
7) Nia finishes in the café.
8) Nia passes or enters 10 rooms.
9) 0 + 2 – 5 + 3 = 0 (Distance from starting point)
10) (Absolute distance traveled) 0 2 5 310
23-5
Agenda