1. 9/4/14 – Real Number Addition TEXTBOOK: Chapter 3 -1, P. 104 1). 18 + 11 = 2). 18 – 11 = 3). 14 + 9 = 4). 32 – 17 = 5). 8 + 6 = 6). 100 – 31 = DO NOW HERO PROBLEM (impress me): 12436 + 1291 = ITEMS in RED should be copied into your notes

2. SEATING CHART: 9/3/14 – Real Number Addition & Subtraction Zachary Berk Front of Class Ryan BichefskyBrenden Carter Gianna GagliardiChristina MooreAmanda Sobusiak Cyrena SpaffordAshley Nicowitz DO NOW

3. SEATING CHART: Welcome to Concepts in Math! Front of Class Collen FelverMax Friedenberg Jennifer GilbertKristen Le Ethan Lerner Ryan RenziVictoria Faith Samuel Botnick Samantha Gaun Mark Liana

4. What are we doing Today OBJECTIVE: WE WILL be able to add and subtract positive and negative real numbers. ESSENTIAL UNDERSTANDING: How can a number line help us add and subtract positive and negative real numbers? AP

5. What is a Number Line A number line is a line with numbers marked on it, stretching to positive and negative infinity. - ZERO is called “The Origin” AP

6. What is a Number Line How do you draw a number line? 1). Draw a line and mark the origin. 2). Draw the numbers in. You can use any set of numbers as long as they are equally spaced WATCH ME AND COPY IN YOUR NOTES: - a number line demarcated by 1 - a number line demarcated by 0.5 - a number line demarcated by 4 AP

7. Place these numbers on a How do you draw a number line? 1). Draw a line and mark the origin. 2). Draw the numbers in. You can use any set of numbers as long as they are equally spaced WATCH ME AND COPY IN YOUR NOTES: - a number line demarcated by 1 - a number line demarcated by 0.5 - a number line demarcated by 4 On the first number line, place (or circle) the following numbers: -4, 6, 1, -3, 5 AP

8. How a number line helps us add and subtract AP 1). Start at the origin 2). For positive numbers, move right 3). For negative numbers, move left. Examples: 1). What is 4 + 3? 2). What is 3 + -2? 3). What is -4 + 6? 4). What is – 4 + -5?

9. Conceptually Speaking…. AP Think of balloons and weights The balloons are positive numbers which lift the basket up The weights are negative numbers which pull the basket down What happens if there are balloons and no weights? Weights and no balloons?

10. Guided Practice AP 1). 4 + 6 =2). -4 + -6 = 3). 5 + -7 = 4) -6 + 3 = 5). 11 + -4 = 6). -1 + -8 =

11. Independent Practice AP 7). 3 + 3 =8). -3 + -3 = 9). -2 + 4 = 10). -8 + 6 = 11). 4 + -8 = 12).-1 + -8 =

12. Independent Practice AP 7). 3 + 3 =8). -3 + -3 = 9). -2 + 4 = 10). -8 + 6 = 11). 4 + -8 = 12). -1 + -8 = 13). 7 + -1 = 14). -4 + -3 = 15). 8 + -8 =

13. With Larger Numbers…Like Terms AP What do you do if the numbers are too large to draw a number line? 180 + - 54 = 1). Like terms – terms with the same sign – can be combined to a larger number 100 + 110 = - 100 + -110 =

14. With Larger Numbers….Unlike Terms AP Equations with unlike terms – terms with different signs – cannot be combined to a larger number. Instead, subtract the smaller number from the larger (ignoring the signs) Then, use the sign of the larger number. Example: -50 + 30  50 – 30 = 20; the larger term is negative so the answer is -20. Guided Practice: 120 + 90 = -120 + 90 = 120 + -90 = -120 + -90 =

15. Independent Practice AP 13). 30 + - 13 = 14). -45 + 30 = 15). -26 + 10 = 16). -82 + 6 = 17). 24 + -28 = 18). -16 + 48 =