Investigation 1 2 From Sauna to Snowbank Learning

Investigation 1. 2 From Sauna to Snowbank

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

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

Different Temperatures Worldwide

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

Vertical Number Line l l l 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?

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

Opposites l Where is the opposite of 12 on a vertical number line? l l -12 Where is the opposite of -9 on a vertical number line? l 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. l Imagine going from 134 ℉ to -80 ℉ in an instant! l

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

Sauna to Snowbank l 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 ℉.

Problem 1. 2 – Comparing and Ordering Positive and Negative Number A. Order these temperatures from least to greatest. v 0 ℉, 115 ℉, -32. 5 ℉, -40 ℉, 113. 2 ℉, -32. 7 ℉ -40 ℉, -32. 7 ℉, -15 ℉, 0 ℉ , 113. 2 ℉ , 115 ℉ B. For each pair of temperatures, identify which temperature is further from -2 ℉. Use a number line if you need to. 1. 6℉ or -6℉ 2. -7℉ or 3℉ 3. 2℉ or -5℉ 4. -10℉ or 7℉

Shown Work for Question B 4 -6 05 5 -7 3 8 -5 -10 8 0 0 0 6 3 4 29 7

Homework l Inv. 1. 2 ACE(9 – 19)

Number Lines