2. Warm Up Simplify the Following: 1. -17 + 9 2. -12(-9) 3. 4 + (-4) -3 4. 8 – (-3) Compare the two Integers: 5. -7 ___ -8 Answers 1.- 8 2.108 3.- 3 4.11 5.>

3. Math Year 1 Standard 1.1.3 Lesson 1.4 Absolute Value

4. The absolute value of x is the distance x is from zero. The absolute value of x is written as ___________ What is Absolute Value?

5. Distance, and Absolute Value, and Word Problems…oh my! We see absolute value in the following “real world” applications: Submarines/Sea Level Temperature Distance/Height Numbers Travel

6. Since absolute value is the distance from zero, absolute value will always be positive. Let’s look at a number line! *The absolute value of 6 would be 6 because it is six units from zero. *The absolute value of -6 would be 6 because it is six units from zero. 0 So How is Absolute Value Calculated? -66

7. 1.2. 3.4. Practice…

8. Connecting distance and absolute value The distance between two numbers is the absolute value of their difference. On a number line plot -3 and 9. Find the distance between them. Now find the difference of -3 and 9 and take the absolute value of that answer. What did you notice?

9. 1.What is the distance between 14 and -20? 2.Find the distance between -17 and -13. 3.Calculate the distance between 9 and 29. More Practice!

11. 1.What is the change in temperature from 20 degrees to 63 degrees? 2.What is the change in temperature from a chilly -12 degrees outside and a warm 82 degrees inside? 3.A submarine is 47.8 meters below sea level. They are sending a signal to a tower 112 meters above sea level. What is the vertical distance the signal must travel? Applications

12. Dive FromTypeDistance jumped vertically above platform Low platform #1Inward1.6 ft. High platform #2Inward9 inches The low dive is 9 feet above the surface of the water. The high dive is 22 feet above the surface of the water. The water is 16 feet deep. All divers touch bottom after a dive. What distance did the diver travel from the low platform? The high platform? An Olympic diver completed the following dives. Last One!

13. Summary: Write two things about absolute value Homework: Lesson 1.4 Worksheet