

Absolute Value and Comparing Integers
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
18 Slides • 14 Questions
1
Poll
How was your weekend?
Amazing!
it was good
It was ok
... not my best weekend
2
Agenda:
1) Check in
2) Previously... a review of integers and absolute value
3) Quizizz- let's see what we know
4) Google form review
5) Silent Ball or Dice Talk!
Some text here about the topic of discussion.
Learning Goal:
Given a quizizz lesson recap we will review and apply our knowledge to look at various scenarios involving integers and absolute value!
3
Integer and Absolute Value Review! 6th grade
Some text here about the topic of discussion
5
Integers Defined…
• the set of whole numbers and their opposites;
positive and negative numbers
The integer zero is neither positive nor negative
• two numbers the same distance away from
zero, on opposite sides of the number line, one
positive, the other negative.
-6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6
negative integers
positive integers
Integers
Opposite
Numbers
Note: A positive integer does not have to have a + sign.
For example, +3 and 3 are the same.
6
Entero: el conjunto de números enteros y sus opuestos;
números positivos y negativos
El entero cero no es ni positivo ni negativo
Números opuestos: dos números a la misma distancia del
cero, en lados opuestos de la recta numérica, uno positivo
y el otro negativo.
7
The Number Line
• The number line continues forever (to infinity) in both the positive and
negative directions – shown by arrows
• You can draw any part of the number line but should draw equal
intervals
• La recta numérica continúa para siempre (hasta el infinito) tanto en la
dirección positiva como en la negativa, que se muestra con flechas.
• Puede dibujar cualquier parte de la recta numérica, pero debe dibujar
intervalos iguales
***by 1’s, 2’s, 5’s, 10’s etc.
-15 -10 -5 0 5 10 15 20 25 30
8
9
10
11
12
Integers in the Real World
Now we will see how integers are used in the real
world by classifying integers as positive or negative
and will describe the meaning of zero.
Ahora veremos cómo se usan los números enteros
en el mundo real clasificándolos como positivos o
negativos y describiremos el significado del cero.
13
Key Words
Positive Neutral. Negative
Up
Above
Ahead
North
East
Deposit
Gain
Profit
Future
Height
Down
Below
Behind
South
West
Withdrawal
Loss
Debt
Past
Depth
Sea Level
Takeoff/Liftoff
Start
Begin
Line of Scrimmage
Tie
Present
Elevation
Arriba
Arriba
Adelante
Norte
Este
Depósito
Ganar
Lucro
Futuro
Altura
El nivel del mar
Despegue / Despegue
comienzo
Empezar
Línea de scrimmage
Atar
Presente
Elevación
Abajo
Abajo
Detrás
Sur
Oeste
Retiro
Pérdida
Deuda
Pasado
Profundidad
14
15
Integers are all whole numbers and their opposites.
This does not include any fractional values, decimals percents or irrational numbers.
What is an integer?
Positive integers are all integers greater than zero and are to the right of zero on a number line.
Negative intergers are all integers less than zero and are to the left of zero on the number line.
Positive VS Negative
Neither! It is not positive and it is not negative.
Is zero Positive or negative?
16
Multiple Choice
Which of the following are not integers?
9
0
-890
1.2578
17
When the signs are different positive integers will always be greater than 0 and negative integers.
In general the farther to the right on a number line a number is the greater it is.
Comparing integers!
18
When the signs are the same, look at which value is further to the right on a numberline .
Comparing integers!
19
Multiple Choice
What inequality symbol would make the statement true?
-5_ -9
>
<
=
20
Multiple Choice
What inequality symbol would make the statement true?
-3_ 2
>
<
=
21
Multiple Choice
What inequality symbol would make the statement true?
0_ -1
>
<
=
22
23
24
Fill in the Blanks
Type answer...
25
Multiple Choice
| 9 |
0.9
9
-9
90
26
Multiple Choice
The value of a number
The opposite of a number
The distance of a number from zero
The multiplicative inverse of a number
27
Multiple Choice
True
False
28
Multiple Choice
− 9, -5, -3, 0, 4, 3
− 9, -5, -3, 0, 3, 4
− 5, -9, -3, 0, 4, 3
3, 4, 0, -3, -5, -9
29
Multiple Choice
Mary is swimming 5 feet below the surface. Which integer represents Mary's location?
-5 feet
5 feet
30
Multiple Choice
Keri has overdrawn her account $-25.00 and Misty has overdrawn her account $-30.00. Who has more money?
Michelle
Keri
31
Multiple Select
Select all answers that could represent a negative integer.
deposit
discount
withdraw
below zero
32
Multiple Select
Select all words that could be used to describe a positive integer.
below the surface
above sea level
earned
deposit
How was your weekend?
Amazing!
it was good
It was ok
... not my best weekend
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