The Cartesian Plane

Plane

100

What is the name of the horizontal axis? 

The x -axis. 

200

What is the names of the vertical axis?

The y-axis. 

300

What is the name of the coordinate of (0,0)?

Origin

 

400

What do the arrows represent on the x-axis and y-axis represent? 

The number plane is endless, there is no limit on the positive or negative numbers. 

500

What are the elements of the Cartesian plane that we need to label? 

- x and y axes

- origin 

- evenly spaced positive and negative numbers 

- arrows 

Coordinates

100

How many numbers are needed to define a coordinates on the cartesian plane? 

Two numbers. One x coordinate and one y coordinate. 

200

When writing a coordinate what coordinate comes first, the x or y coordinate? 

x

300

How do you write a coordinate? 

(x, y) - Bracket, number, comma, number, bracket. 

400

If x is 2 and y is -2, how do you write the coordinate?

(2, - 2)

500

If y is -3, and x is 8, how do you write the coordinate? 

(8, -3)

Random

100

Which number is the x coordinate in (5, 0)?

5

200

Which number is the y coordinate in (8, 9)? 

9

300

Can coordinates be a fraction? 

Yes. For example: (1/2, 3), (5, 1/4). 

Note: We will most likely not be using fractions during this topic. 

400

Are the quadrants numbered clockwise or anti-clockwise?

Anti-clockwise. 

500

The x coordinate is 5 spaces away from the origin and the y coordinate is 2 spaces away from the origin. 

List the 4 possible coordinates:

(-5,-2)

(-5,2)

(5, -2)

(5,2)

Challenge

100

I have a point (1,1) on the Cartesian Plane move this point 2 spaces to the right

What is the new coordinate? 

(3, 1) 

200

I have a point (-1, 4) on the Cartesian Plane, I move the point down 6 

What is the new coordinate? 

(-1,-2)

300

I have a point (2,7) I want to move my point down 2 and right 3. 

What is my new coordinate? 

(5,5)

400

I have a point (3, 3) on the Cartesian Plane, I want to move the point 8 to the left and 7 down.

What is the new coordinate?

(-5, -4)

500

Starting at the Origin, I want to plot a point. 

I move 3 spaces left, 2 spaces up, 7 right and 6 spaces up. 

What is my coordinate? 

(4,8)

Finding Values from Rules

100

Find the y value for the rule y = x + 3 when x = 5

y = 8

200

Find the y value for the rule y = 2x - 8 when x =3

y = -2

300

Find the y value for the rule y = -3x - 5 when x = -2

x = 1

400

Find the y value for the rule y = x² - 1 when x =10

y = 99

500

Find the y value for the rule y = 2x² - 4 when x = -1

y = -2