Warm Up Simplify the Following 1 17 9
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Warm Up Simplify the Following: 1. -17 + 9 2. -12(-9) 3. 4 + (-4) -3 4. 8 – (-3) Answers 1. - 8 2. 108 3. - 3 4. 11 Compare the two Integers: 5. -7 ___ -8 5. >
Lesson 1. 4 Absolute Value Math Year 1 Standard 1. 1. 3
What is Absolute Value? The absolute value of x is the distance x is from zero. The absolute value of x is written as ______
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
So How is Absolute Value Calculated? Since absolute value is the distance from zero, absolute value will always be positive. Let’s look at a number line! -6 0 6 *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.
Practice… 1. 2. 3. 4.
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?
More Practice! 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.
Applications 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?
Last One! An Olympic diver completed the following dives. Dive From Type Distance jumped vertically above platform Low platform #1 Inward 1. 6 ft. High platform #2 Inward 9 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?
Summary: Write two things about absolute value Homework: Lesson 1. 4 Worksheet
