1. Course 1 11-1 Integers in Real-World Situations 11-1 Integers in Real-World Situations Course 1 Homework pp. 604 – 605 3 – 48 mult of 3 pp. 604 – 605 3 – 48 mult of 3

2. Course 1 11-1 Integers in Real-World Situations Warm Up Solve each. 1)5.32 + 6.952) 7 – 2.54 3) 4.2 x 5.48

3. Course 1 11-1 Integers in Real-World Situations Problem of the Day Four friends are waiting in line at the amusement park. Jenna is in front of Kyle. Kyle is behind Gary and in front of Maggie. Gary is first. In what order are they waiting? Gary, Jenna, Kyle, Maggie

4. Course 1 11-1 Integers in Real-World Situations Review homework from last night

5. Course 1 11-1 Integers in Real-World Situations Problem of the Day Carlo uses a double-pan balance and three different weights to weigh bird seed. If his weights are 1 lb, 2 lb, and 5 lb, what whole pound amounts is he able to weigh? 1, 2, 3, 5, 6, 7, and 8 lb

6. Course 1 11-1 Integers in Real-World Situations Obj. – To learn about integers. (6.NS.6a; 6.NS.7a; 6.NS.7b; 6.NS.7c; 6.NS.7d )

7. Course 1 11-1 Integers in Real-World Situations Vocabulary positive number negative number opposites integer

8. Course 1 11-1 Integers in Real-World Situations Positive numbers are greater than 0. They may be written with a positive sign (+), but they are usually written without it. Negative numbers are less than 0. They are always written with a negative sign (–). –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

9. Course 1 11-1 Integers in Real-World Situations Integers are the set of all positive and negative whole numbers and zero. –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 Opposites Positive IntegersNegative Integers 0 is neither negative nor positive.

10. Course 1 11-1 Integers in Real-World Situations Example 1: Identifying Positive and Negative Numbers in the Real World Name a positive or negative number to represent each situation. A. a jet climbing to an altitude of 20,000 feet B. taking $15 out of the bank

11. Course 1 11-1 Integers in Real-World Situations Additional Example 1: Identifying Positive and Negative Numbers in the Real World Name a positive or negative number to represent each situation. C. 7 degrees below zero Negative numbers can represent values below or less than a certain value. –7

12. Course 1 11-1 Integers in Real-World Situations Check It Out: Example 1 Name a positive or negative number to represent each situation. A. 300 feet below sea level B. a hiker hiking to an altitude of 4,000 feet Negative numbers can represent values below or less than a certain value. –300 Positive numbers can represent climbing or rising. +4,000

13. Course 1 11-1 Integers in Real-World Situations Check It Out: Example 1 Name a positive or negative number to represent each situation. C. spending $34 Negative numbers can represent losses or decreases. –34

14. Course 1 11-1 Integers in Real-World Situations The set of whole numbers includes zero and the counting numbers. {0, 1, 2, 3, 4, …} Remember!

15. Course 1 11-1 Integers in Real-World Situations Example 2: Graphing Integers Graph each integer and its opposite on a number line. A. +2 –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 B. –5 –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

16. Course 1 11-1 Integers in Real-World Situations Additional Example 2: Graphing Integers Graph each integer and its opposite on a number line. C. +1 –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 –1 is the same distance from 0 as +1.

17. Course 1 11-1 Integers in Real-World Situations Check It Out: Example 2 Graph each integer and its opposite on a number line. A. +3 –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 B. –4 –3 is the same distance from 0 as +3. –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 +4 is the same distance from 0 as –4.

18. Course 1 11-1 Integers in Real-World Situations Example 2 continued Graph each integer and its opposite on a number line. C. 0 –5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5 Zero is its own opposite.

19. Course 1 11-1 Integers in Real-World Situations Numbers on a number line increase in value as you move from left to right. Remember!

20. Course 1 11-1 Integers in Real-World Situations Absolute Value (ABS) – The distance a number is from zero. Ex 3) | 7 | = | -3 | = | -13 | = | (4 x 7) | =

21. Course 1 11-1 Integers in Real-World Situations Lesson Quiz continued … Order the integers in each set from least to greatest. 6. –3, 7, 4 7. –11, 2, 5, –15 Compare. Write, or =. 8. –3 49. –12 –10 10. A location in Carlsbad Caverns is 752 ft below sea level, and another location is 910 ft below sea level. Which location is closer to sea level? –15, –11, 2, 5 –3, 4, 7 > < the location at –752 feet

22. Course 1 11-1 Integers in Real-World Situations End of 11-1 Stop at this slide

23. Course 1 11-1 Integers in Real-World Situations Example 4: Comparing Integers Use the number line to compare each pair of integers. Write. A. –2 2 B. 3 –5 C. –1 –4 –5 –4 –3 –2 –1 0 1 2 3 4 5 –2 < 2 3 > –5 –1 > –4

24. Course 1 11-1 Integers in Real-World Situations Example 5 (you try it) Use the number line to compare each pair of integers. Write. A. –2 1 B. 2 –3 C. –3 –4 –5 –4 –3 –2 –1 0 1 2 3 4 5 –2 < 1 2 > –3 –3 > –4

25. Course 1 11-1 Integers in Real-World Situations Example 6: Ordering Integers Order the integers in each set from least to greatest. A. –2, 3, –1 B. 4, –3, –5, 2 –3 –2 –1 0 1 2 3 Graph the integers on the same number line. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Graph the integers on the same number line.

26. Course 1 11-1 Integers in Real-World Situations Example 4 Order the integers in each set from least to greatest. A. –2, 2, –3 B. 6, –2, 5, –3 –3 –2 –1 0 1 2 3 Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 2. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 5, 6.

27. Course 1 11-1 Integers in Real-World Situations Example 7: Problem Solving Application In a golf match, Craig scored +2, Cameron scored +3, and Rob scored –1. Who won the golf match? –3 –2 –1 0 1 2 3

28. Course 1 11-1 Integers in Real-World Situations Example 8: Mark enters his office building on the ground floor. Using the elevator, he goes up 6 floors to place a call, then down 4 floors for lunch, and then up 8 floors for a meeting. Write an expression to represent this situation. Mark starts on the ground floor, 0.0 Mark goes up 6 floors.6 Mark goes down 4 floors.-4 Mark goes up 8 floors. 8 You can use a number line to model Mark’s movements on the elevator. +8 0 2 4 6 8 10 +6 -4 + 6 – 4 + 8

29. Course 1 11-1 Integers in Real-World Situations Example 9 (you try it) Allison enters her office building on the ground floor. Using the elevator, she goes up 5 floors to her desk, then down 4 floors for lunch, and then up 6 floors for the restroom. Write an expression to represent this situation. Allison starts on the ground floor, 0.0 Allison goes up 5 floors.6 Allison goes down 4 floors.-4 Allison goes up 6 floors. 8 You can use a number line to model Allison’s movements on the elevator. +6 +5 -4 + 5 – 4 + 6 0 2 4 6 8 10

30. Course 1 11-1 Integers in Real-World Situations Lesson Quiz Name a positive or negative number to represent each situation. 1. saving $15 2. 12 feet below sea level 3. What is the opposite of –6? 4. When the Swanton Bulldogs football team passed the football, they gained 25 yards. Write an integer to represent this situation. –12 +15 6 +25