1. Lesson Opener

4. 2-1 The Real Number Line Real Numbers = the set of all positive and negative numbers and zero –The point labeled zero is the ORIGIN –Negative numbers = the points to the left of zero –Positive numbers = the points to the right of zero –Real number line: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Plotting points = putting a dot on the number line where the given number would be

5. Opposites = two points that are the same distance from the origin but on opposite sides –Ex: Opposite of 3 = -3 Opposite of –8 = 8 Absolute value = the distance between the origin and the point representing the real number –Symbol = –Ex: Counterexample = you come up with one example to prove that a statement is false

6. Practice Graph the numbers on a number line. Then write two inequalities that compare the two numbers. 1.) 3, -5, 0 2.) -0.1, -1.1, -1 3.)

7. Practice 2 Find the opposites of the number 1.) 3.82.) -163.) 0 4.) -2.04 5.) 6.) Evaluate the expression by finding absolute value

8. When will I use this?

9. Summary The set of numbers consisting of the positive numbers, the negative numbers, and zero are called ___________ ___________. The point labeled zero on the number line is called the _______________. You can graph or plot points on a ___________ ______________. The distance between the origin and the point representing the real number is called the___________ ___________. Two points that are the same distance from the origin but on different sides are called___________.

10. Check Yourself Pg. 67-70 # 20-52 eoe, 54-60, 88-102 e # 20-26: graph numbers on a number line #28-32: write the number in increasing order #34-48: find the opposite or absolute value of each number #54-56: write counterexamples if the statement is false #88-102: mixed review