objectives swbat: draw the coordinate plan and label all important aspects bell ringer: do now:...
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ObjectivesSWBAT:Draw the coordinate plan and label all important aspects
Bell Ringer:DO NOW: Describe what
you have already been taught about graphing
HomeworkRead textbook: page. 60Do: problems, p60, 1 - 4
ObjectivesSWBAT:Draw the coordinate plan and label all important aspects
A QUICK Cornell Notes Refresher
HomeworkRead: Page. 60Do: problems, p60, 1 - 4
First & Last NameClass Title
PeriodDate
Topic
Questions,Subtitles,Headings,Etc.
Class Notes
2 1/2”
3 to 4 sentence summary across the bottom of the last page of the day’s notes
Subject: Why take Cornell notes? Date: 11/20/01 PPRROOCCEESSSS
((oouuttppuutt)) MMaaiinn IIddeeaass ((iinnppuutt))
How can Cornell notes help me organize my ideas? Which side for diagrams?
Why use concept maps?
What are the benefits to me?
Can be used to provide an outline of chapter or lecture. Organized by main ideas and details. Can be as detailed as necessary.
Sequential-- take notes as they are given by instructor or text in an orderly fashion.
After class, write a summary of what you learned to clarify and reinforce learning and to assist retention.
Can be used as study tool: 1. Define terms or explain concepts listed on left side.
2. Identify the concept or term on the right side.
Can be used to provide a "big picture" of the chapter orlecture.
Organized by main ideas and sub-topics Limited in how much detail you can represent.
Simultaneous - you can use this method for instructors who jump around from topic to topic.
After class, you can add questions to the left side Can be used as a study tool -- to get a quick overview and to determine whether you need more information or need to concentrate your study on specific topics.
•Summary is added at the end of ALL note pages on the subject (not page)•Summary added AFTER questionsare finished•Summary should answer the problem stated in the subject.
In the beginning of the year, I created a seating chart for my classes: -5 rows of desks with 4 desks in each row. -Brian sits in the third row at the second desk (3,2) -D’wanda sits in the second row at the third desk (2,3). Are these seats the same?
No!! The seats (3,2) and (2,3) are called ordered pairs because the order in which the pair of numbers is written is important!!
Who is sitting in desk (4,2)?
A B C D E
F G H I J
K
P
L M N O
Q R S T
4
3
2
11 2 3 4 5
N
Number Lines:
• First you learned about the basic (counting) number line
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
• Later on, you were introduced to zero and negatives… which completed the number line:
Number Lines:
Breakthrough!!!Take a 2nd number line, standing it on its end, and cross the 1st number line at zero
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
Axes Number lines drawn like this are called “axes” (pronounced “ACK-seez”) – more than ONE axis
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
The horizontal number linex- axis:
y- axis: The vertical number line
Coordinate Plane
• Two number lines, or axes, one vertical & one horizontal, that intersect at their zero points, the origin.
origin (0,0)
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
• A pair of numbers that correspond to the point where the two axes (number lines) cross each other
Origin
•
5
5
-5
-5
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
y-coordinate:
The first value in a coordinate pair. Indicates position on the x-axisThe 2nd value in a coordinate pair. Indicates position on the y-axis
x-coordinate:
Ordered Pair Used to locate points on a coordinate plane
Example: Graph (-3, 2)
•
5
5
-5
-5
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
In an ordered pair, the first number is the x-coordinate and the 2nd number is the y-coordinate
Ordered Pairy-coordinate:
x-coordinate:
What is the ordered pair for A?
1. (3, 1)
2. (1, 3)
3. (-3, 1)
4. (3, -1)
5
5
-5
-5
• A
What is the ordered pair for B?
5
5
-5
-5
• B
1. (3, 2)
2. (-2, 3)
3. (-3, -2)
4. (3, -2)
What is the ordered pair for C?
1. (0, -4)
2. (-4, 0)
3. (0, 4)
4. (4, 0)
5
5
-5
-5
• C
What is the ordered pair for D?
5
5
-5
-5
• D
1. (-1, -6)
2. (-6, -1)
3. (-6, 1)
4. (6, -1)
Write the ordered pairs that name points A, B, C, and D.
A = (1, 3)
B = (3, -2)
C = (0, -4)
D = (-6, -1)
5
5
-5
-5
• A
• B• C
• D
The x-axis and y-axis separate the coordinate plane into four regions, called quadrants.
II
(-, +)
I
(+, +)
IV
(+, -)
III
(-, -)
Quadrants
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
HomeworkRead: Page. 60Do: problems, p60, 1 - 4
Name the quadrant in which each point is located
(-5, 4)
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
Name the quadrant in which each point is located
(-2, -7)
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
Name the quadrant in which each point is located
(0, 3)
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
Review Problems
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
Reflection
ObjectivesSWBAT: Draw the coordinate plan and label all important aspects
Thinking about previous lessons on solving equations, explain how you believe rwe can apply this to graphing.