This document covers concepts related to rational numbers including integers, the number line, positive and negative integers and rational numbers. It defines integers as the set of numbers represented as {..., -3, -2, -1, 0, 1, 2, 3, ...} and discusses representing integers on a number line. It also covers adding, subtracting and multiplying rational numbers.

1. Unit Two – Rational Numbers State Standard 1.1: Number sense (application) State Standard 1.4: Computation (application)

2. Concepts We’ll Cover Integers and the Number Line Positive and Negative Integers Positive and Negative Rational Numbers Multiplication of Rational Numbers Division of Rational Numbers

3. Integers and the Number Line Recognize and explain the relationship between number sets, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. KMA 1.1.A.1

4. Words to Know (2.1) Number line – a graphical representation of a set of numbers Integers – the set of numbers represented as {…, -3, -2, -1, 0, 1, 2, 3, …} Graph – to draw, or plot, the points named by those numbers on a number line. Coordinate – the number that corresponds to a point on a number line.

5. Name the set of numbers that is graphed. -5 -4 -3 -2 -1 0 1 2 3 4 5 {-2, -1, 0, 1, 2, 3, 4} {-2, -1, 0, 1, 2, 3, 4, …} {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} {…, -2, -1. 0, 1, 2, 3, 4, …}

6. On your own paper, graph the following set of numbers. {…-2, -1, 0, 1, 2}

7. Is this your graph? -2 -1 0 1 2 3 4 5 6

8. 2 + 3 = ? 2 5 7 -1

9. 127 is an integer. True False 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

10. -5 + (-1) = ? 4 -4 6 -6

11. -10 + 6 = ? -4 4 16 -16

12. 9 + (-9) = ? -18 0 18 81

13. Which set of numbers is graphed? -5 -4 -3 -2 -1 0 1 2 3 {-5, -3, -1, 1, …} {…-5, -3, -1, 1, …} {…-5, -3, -1, 1} {-5, -3, -1, 1} 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

14. 6 + (-2) = 8 4 -4 -8 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

15. -4 + (-3) = ? 7 0 -7 12

16. -61 + 18 = ? -43 43 79 -79

17. Which of the following is not an integer -100 0 56 6/3 7/2

18. You are in a hotel lobby. You realize that you forgot your jacket in your room 4 floors above. On what floor is your room? The fourth floor The fifth floor The second floor None of the above 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

19. From the previous question: you were in the lobby, went up to your room 4 floors above the lobby, you take the elevator 2 floors down, to a friend’s room, then 5 floors up for a snack. On what floor are you? The second floor The fifth floor The eighth floor None of the above 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1