1. Investigation 1.2
From Sauna to Snowbank

2. Learning Targets
I can understand the relationship between positive and negative numbers and their opposites (additive inverse).
I can interpret and represent positive and negative numbers on a number line and in context.
I can compare and order positive and negative numbers.

3. Different Temperatures
What are the hottest and coldest temperatures that you have ever experienced?
How do we show that temperatures are below zero?
We use a negative sign to show that a temperature is below zero.

4. Different Temperatures Worldwide

5. Horizontal Number Line
On a horizontal number line, where are the positive numbers in relation to 0?
On a horizontal number line, where are the negative numbers in relation to 0?
Negative numbers
Positive numbers

6. Vertical Number Line
Positive numbers
We can think of a thermometer as a vertical number line.
On a thermometer, where are the positive numbers located in relation to 0?
On a thermometer, where are the negative numbers located in relation to 0?
Negative numbers

7. Location of Integers on a Vertical Number Line
Suppose the temperature is +5 ℉.
Where is +5 ℉ located on this vertical number line in relation to 0 ℉?
+5 ℉ is located 5 units above the 0 ℉ mark.
Suppose the temperature is -5 ℉.
Where is -5 ℉ located on this vertical number line in relation to 0 ℉?
-5 ℉ is located 5 units below the 0 ℉ mark.
+5 ℉
-5 ℉

8. Opposites Where is the opposite of 12 on a vertical number line?
-12
Where is the opposite of -9 on a vertical number line? 9 9
-12

9. Sauna to Snowbank
The record high and low temperatures in the United States are 134 ℉ in Death Valley, California and -80 ℉ in Prospect, Alaska.
Imagine going from 134 ℉ to -80 ℉ in an instant!

10. Sauna to Snowbank
In Finland, people think that such temperature shocks are fun and good for your health.
This activity is called sauna-bathing.

11. Sauna to Snowbank
In the winter, Finnish people sit for a certain amount of time in sauna houses. The houses are heated as high as 120 ℉. Then the people run outside, where the temperatures might be as low as -20 ℉.

12. Problem 1.2 – Comparing and Ordering Positive and Negative Number
Order these temperatures from least to greatest.
0 ℉, 115 ℉, -15 ℉, ℉, -40 ℉, ℉, ℉
For each pair of temperatures, identify which temperature is further from -2 ℉. Use a number line if you need to.
-40 ℉, ℉, -15 ℉, 0 ℉ , ℉ , 115 ℉ 1.
6℉ or -6℉ 2.
-7℉ or 3℉ 3.
2℉ or -5℉ 4.
-10℉ or 7℉

13. Shown Work for Question B4 8 -6 -2 6 5 5 -7 -2 3 3 4 8 -5 -2 9 2
-10 -2 7

14. Homework
Inv. 1.2 ACE(9 – 19)

15. Number Lines