The document is a math lesson on integers that includes examples and explanations of positive and negative numbers, opposites, integers, and absolute value. It provides practice problems identifying positive and negative numbers in real world contexts, graphing integers on a number line, and finding the absolute value of integers using a number line. The lesson concludes with a quiz reviewing these concepts.

1. Warm Up Lesson Presentation Problem of the Day Lesson Quizzes

2. Warm Up Add or subtract. 1. 16 + 25 2. 84 – 12 3. Graph the even numbers from 1 to 10 on a number line. 41 72 0 1 2 3 4 5 6 7 8 9 10

3. 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, 4, 5, 6, 7, and 8 lb

4. Preview of MA.7.A.3.1 Use and justify the rules for…finding absolute value of integers. Sunshine State Standards

5. Vocabulary positive number negative number opposites integer absolute value

6. 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 (–).

7. Additional 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 Positive numbers can represent climbing or rising . +20,000 Negative numbers can represent taking out or withdrawing . – 15

8. 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

9. 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

10. 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

11. You can graph positive and negative numbers on a number line. On a number line, opposites are the same distance from 0 but on different sides of 0. Integers are the set of all whole numbers and their opposites. Opposites Positive Integers Negative Integers 0 is neither negative nor positive. – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

12. The set of whole numbers includes zero and the counting numbers. {0, 1, 2, 3, 4, …} Remember!

13. Additional Example 2: Graphing Integers Graph each integer and its opposite on a number line. A. +2 B. –5 – 2 is the same distance from 0 as +2. +5 is the same distance from 0 as –5. – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5 – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

14. Additional Example 2: Graphing Integers Graph each integer and its opposite on a number line. C. +1 – 1 is the same distance from 0 as +1. – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

15. Check It Out: Example 2 Graph each integer and its opposite on a number line. A. +3 B. –4 – 3 is the same distance from 0 as +3. +4 is the same distance from 0 as –4. – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5 – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

16. Check It Out: Example 2 Graph each integer and its opposite on a number line. C. 0 Zero is its own opposite. – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

18. Additional Example 3A: Finding Absolute Value Use a number line to find the absolute value of each integer. A. |–2| – 2 is 2 units from 0, so |–2| = 2 2 – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

19. Additional Example 3B: Finding Absolute Value Use a number line to find the absolute value of each integer. B. |8| 8 is 8 units from 0, so |8| = 8 8 – 1 0 1 2 3 4 5 6 7 8 9

20. Check It Out: Example 3A Use a number line to find the absolute value of each integer. A. |6| 6 is 6 units from 0, so |6| = 6 6 – 1 0 1 2 3 4 5 6 7 8 9

21. Check It Out: Example 3B Use a number line to find the absolute value of each integer. B. |–4| – 4 is 4 units from 0, so |–4| = 4 4 – 5 – 4 – 3 – 2 – 1 0 +1 +2 +3 +4 +5

22. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

23. 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? Use a number line to find the absolute value of each integer. 4. |–7| 5. |4| – 12 +15 6 7 4

24. 1. Identify a positive or negative number to represent the given situation. 10 more students joining music class. A. +10 B. –10 C. D. Lesson Quiz for Student Response Systems

25. 2. Identify a positive or negative number to represent the given situation. A basement for car parking at 12 feet below the ground level. A. +12 B. –12 C. D. Lesson Quiz for Student Response Systems

26. 3. What is the opposite of –15? A. +15 B. –15 C. 0 D. Lesson Quiz for Student Response Systems

27. 4. Gold rate has increased by $3. Identify an integer to represent this situation. A. +3 B. –3 C. 0 D. Lesson Quiz for Student Response Systems