Transcript absolute value - Brighten Academy Middle School

Lesson Vocabulary and Language Objectives
Word
Absolute Value
Definition
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
Magnitude
The size of distance in any
given direction
Example/Symbol
3
3
0
3  3
3
3
3
Agenda
1
Launch 1 – Intro to Absolute Value
When we want to know
distance from 0, we use
Absolute Value.
Carlos lives in the green house.
2
1) Explain how far away
Carlos’ friends live.
Rita
2 2
1
2  2
-2
Eve
2) Eve and Sam are at
-2. Explain how they
are positive 2
away from Carlos.
-1
1
Pedro
-1
-2
2
2 2
2  2
Absolute values are always positive.
Sam
Agenda
2
Explore 1 – Magnitude of Quantities
-5 -4 -3 -2 -1
0
1
2
3
4
5
3) Create an inequality statement (>, <) that relates the values represented by the green and red dots.
5  4
4) What are the absolute values of the quantities represented by the red and green dots?
4  4 and
5  5
5) Create an inequality statement that relates the absolute values of the dots.
45
6) Which number, 4 or -5, do you think has the greater magnitude? Explain.
Even though 4 is much larger than -5, -5 has a greater magnitude than 4. Absolute value proves this.
Magnitude is the size of the distance in any given direction.
Agenda
3
Explore 2
Hallway at Nia’s School
Library Health Spanish Physics Café
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
4
Explore 2
Hallway at Nia’s School
3
-5
2
Library Health Spanish Physics Cafe
Gym
Mat
h
ELA
Biology
7) Nia finishes in the café.
8) Nia passes or enters 10 rooms.
9) 0 + 2 – 5 + 3 = 0
10) 0  2  5  3  10
(Distance from starting point)
(Absolute distance traveled)
Agenda
5
Summary
7 and 7
Explain the similarities and differences of the numbers above. You must
use the terms absolute value and magnitude in your summary.
*Challenge - Explain whether you want a high or low magnitude of debt.
Agenda
6