9/4/14 – real number addition textbook: chapter 3 -1, p. 104 1). 18 + 11 = 2). 18 – 11 = 3). 14...
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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
SEATING CHART:
9/3/14 – Real Number Addition & Subtraction
Zachary Berk
Front of Class
Ryan Bichefsky
Brenden Carter
Gianna Gagliardi
Christina Moore Amanda Sobusiak
Cyrena Spafford
Ashley Nicowitz
DO NOW
SEATING CHART:
Welcome to Concepts in Math!
Front of Class
Collen Felver Max Friedenberg
Jennifer Gilbert
Kristen Le Ethan Lerner
Ryan Renzi Victoria Faith
Samuel Botnick
Samantha Gaun
Mark Liana
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
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
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
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
How a number line helps us add and subtract
AP
1). Start at the origin2). For positive numbers, move right3). 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?
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?
Guided Practice
AP
1). 4 + 6 = 2). -4 + -6 = 3). 5 + -7 =
4) -6 + 3 = 5). 11 + -4 = 6). -1 + -8 =
Independent Practice
AP
7). 3 + 3 = 8). -3 + -3 = 9). -2 + 4 =
10). -8 + 6 = 11). 4 + -8 = 12).-1 + -8 =
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 =
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 =
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 =
Independent Practice
AP
13). 30 + - 13 =14). -45 + 30 = 15). -26 + 10 = 16). -82 + 6 = 17). 24 + -28 = 18). -16 + 48 =