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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

Absolute Value Intro

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Page 1: Absolute Value Intro

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

Page 2: Absolute Value Intro

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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.

Page 3: Absolute Value Intro

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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

Page 4: Absolute Value Intro

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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

Page 5: Absolute Value Intro

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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