objectives swbat: draw the coordinate plan and label all important aspects bell ringer: do now:...

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.