2. operation with integers
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- 2. Unit Essential Questions What are integers? When do we work with integers in the real world? How do we add and subtract integers?
- 3. Lesson Essential Questions What are integers? What situations can be represented with integers? In what ways can we order and compare integers?
- 4. Key Vocabulary Integers Positive Numbers Negative Numbers Positive Integers Negative Integers Addends Sum Difference Opposites
- 5. Integers Whole numbers and their opposites are integers such as 6 and -6. Zero is also a whole number. 0 6-6 Opposites
- 6. Definition Positive number – a number greater than zero. 0 1 2 3 4 5 6
- 7. Definition Negative number – a number less than zero. 0 1 2 3 4 5 6-1-2-3-4-5-6
- 8. Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction 0 1 2 3 4 5 6-1-2-3-4-5-6
- 9. Negative Numbers Are Used to Measure Temperature
- 10. Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50
- 11. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.
- 12. INTRODUCTION TO INTEGERS Integers are positive and negative numbers. …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, … Each negative number is paired with a positive number the same distance from 0 on a number line. -3 -2 -1 20 1 3
- 13. INTRODUCTION TO INTEGERS We can represent integers using red and yellow counters. Red tiles will represent negative integers, and yellow tiles will represent positive integers. Negative integer Positive integer
- 14. INTRODUCTION TO INTEGERS The diagrams below show 2 ways to represent -3. Represent -3 in 2 more ways. -3 -3
- 15. INTRODUCTION TO INTEGERS Students may represent -3 by using 3 red tiles and any number of groups of +1 and -1 tiles
- 16. INTRODUCTION TO INTEGERS Tell which integer each group of tiles represents. -2 +1 +2
- 17. INTRODUCTION TO INTEGERS If there are the same number of red tiles as yellow tiles, what number is represented? It represents 0.
- 18. INTRODUCTION TO INTEGERS If there are the same number of red tiles as yellow tiles, what number is represented? It represents 0.
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