1. Positive and Negative Integers

2. Learning Goal Learning Goal: Demonstrate an understanding of integers, concretely, pictorially, and symbolically Kid friendly: Show that you understand that numbers can be positive and negative in more than one way

3. Definitions Integer: A number with no fractional part. It can be positive or negative.

4. What’s the difference? Whole numbers are simply the numbers 1, 2, 3, 4, 5, … (and so on) Integers are like whole numbers, but they also include negative numbers

5. The signs

6. Points to Remember Integers can be negative (-1, -2,-3, -4, -5, … ), positive (1, 2, 3, 4, 5, … ), or zero {0}

7. Example Example, these are all integers: -16, -3, 0, 1, 198 Numbers like ½, 1.1 and 3.5 are not integers

8. Real World Where do we see negative numbers in the real world?

9. Elevator Example If this were an elevator, what floor would you say the floor was on? How far would the elevator have to travel to get to the main floor?

10. Elevator Continued What floor would you say this elevator was on? How far would the elevator have to travel to go back to the main floor?

11. Suppose you are on the second floor and you go up three levels. What level are you at? Suppose you are on the fifth floor and you do down 2 levels. What level are you at? How can you model this using your elevator? How can you represent this using symbols?

12. Thermometers

13. Outdoor School What temperature are you glad that it WAS NOT during Outdoor School? (must be a negative temperature) What temperature do you wish it was outside? (must be a positive temperature) What is the DIFFERENCE between the two? (in other words: how many numbers fall between those two numbers? OR what number do you get when you subtract the lower temperature from the higher temperature?

14. Extension The evolution of numbers http://www.mathsisfun.com/numbers/evoluti on-of-numbers.html http://www.mathsisfun.com/numbers/evoluti on-of-numbers.html