1. Integers

2. Objectives: To learn what is meant by the word integer.
2. To relate integers to every day
real world situations.

3. Integers in the Number System Integers …-2,-1,0,1,2,3,…
Real Numbers
Integers
Rational numbers
-6,0,-2/3, 25/7, 7 1/12…
in the Number System
Integers
…-2,-1,0,1,2,3,…
Whole numbers
0,1,2,3,4,…
Natural numbers
1,2,3,4,…

4. …Continued Fractions…
Integers
Nestor
Judith has a cell phone plan that allows her to talk 25 anytime minutes.
She uses her cell phone to speak to Nestor for 15 minutes.
She uses it again to talk 20 minutes to Markus.
How many minutes did Judith talk on her cell phone?
Does Judith have minutes left on her plan?
Why?
…Continued Fractions…
…Geogebra…
Judith
Markus

5. Integers – Real World Connections35 30 25 20 15 10 5
(Free Minutes)
Judith has a cell phone plan that allows her to talk 25 anytime minutes.
She uses her cell phone to speak to Nestor for 15 minutes.
She uses it again to talk 20 minutes to Markus.
How many minutes did Judith talk on her cell phone?
How many minutes are left on her plan (without rollover) or how many minutes did she go over her allowed minutes?
How can this number be labeled on the graph? 35
10 minutes over

6. Integers – Real World Connections
Team Peitgen and Team Voss are playing a game of football.
Team Peitgen throws a pass from their 5 yard line and the pass is completed for 40 yards.
If their quarterback is sacked and loses 20 yards, how many total yards were gained on the two plays combined?

7. Integers – Real World Connections
Team Peitgen and Team Voss are playing a game of football.
P E I T G E N
V O S S

8. Integers – Real World Connections
If their quarterback is sacked and loses 20 yards, how many total yards did they gain on the two plays combined?
Team Peitgen throws a pass from their 5 yard line and the pass is completed for 40 yards.
P E I T G E N
V O S S

9. Integers – Real World Connections
Ana enters the elevator from the basement of the parking garage and takes it to the 11th floor for lecture.
She takes the elevator two floors down for a workshop.
On what floor will Ana be if she then goes down seven floors for a snack.
How many flights did she travel in total (up and down)?

10. Integers – Real World Connections
Ana enters the elevator from the basement of the parking garage and takes it to the 11th floor for lecture.
She takes the elevator two floors down for a workshop.
On what floor will Ana be if she then goes down seven floors for a snack.
How many flights did she travel in total (up and down)? 12 11 10 9 8 7 6 5 4 3 2 1 B