Students will be able to use integers to represent the velocity and the speed of an object as evidenced by the class discussion after watching a short video httpswwwyoutubecomwatchvM9NBZJR5tyo ID: 597609
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Slide1
The number shows the amounts of money Erica, Jerry, Bob, and Ray have in their wallets or owe one of their parents.1) Who has the most money?2) Who has the least money? 3) Who owes four dollars?
10
8
0
6
4
2
-10
- 2
- 4
- 6
- 8
Erica
Ray
Bob
Jerry
Warm-UpSlide2
IntegersIntegers are all of the positive and negative whole numbers. There are no fractions or decimals that are integers.….. -3, -2, -1, 0, 1, 2, 3 …
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Negative Direction
Positive DirectionSlide3
Number LineExplain how you would show 150 on a number lineIf you want to have 0 and 150 to be shown on the same number line, what scales would work well. What should you count by?Slide4
Number LineWhat might be the common mistakes that students have when doing a number line?* Unequal intervals* Miscounting* Always starting at zero* Not using the entire number line diagram.Slide5
Graphing Integers on a number lineDraw a number lineGraph an Integer by drawing a dot at the point that represents the integer. Example: -6, -2, and 3
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide6
Graphing Integers on a number lineGraph -7, 0, and 5Graph -4, -1, and 1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide7
Order Integers from Least to GreatestYou need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest.Example: Order the integers -4, 0, 5, -2, 3, -3 from least to greatest.The order is -4, -3, -2, 0, 3, 5.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide8
Order Integers from least to greatestOrder the integers 4,-2,-5,0,2,-1 from least to greatest.Order the integers 3,4,-2,-5,1,-7 from least to greatest.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide9
Absolute Value
Absolute value of a number is the DISTANCE to ZERO.
Distance cannot be negative, so the absolute value cannot be negative.
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide10
Absolute ValueEvaluate the absolute value:Ask yourself, how far is the number from zero?| -4 | =| 3 | =| 9 - 6 | + 1 =
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
4) |
12 ÷ -4 | =
5) |
3 ● 15 | =
6) |
8 - 3 | + │20 - 20│=Slide11
Using Absolute Value in Real LifeThe graph shows the position of a diver relative to sea level. Use absolute value to find the diver’s distance from the surface. Slide12
Absolute Value in real life!
A seagull is flying at an altitude of 107 feet and a shark is swimming at a depth of 112 feet relative to sea level. Which animal is farther from sea level?
Sea level (0 feet)
107 feet
-112 feetSlide13
Opposites
Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites.Example -6 and 6 are opposites because both are 6 units away from zero.
| -6 | = 6 and | 6 | = 6
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6Slide14
OppositesWhat is the opposite of: -10|-35|12|100|6 + 15|15 – 0|