Plotting Points on a Cartesian Plane

Presenters:

Mr. Gayle

Mrs. McDonald

Mr. Allen

April 3, 2013

OBJECTIVES1. Locate a given ordered pair on a grid.

2. Plot a given ordered pair on a grid.

3. Explain how a knowledge of coordinate geometry is applicable to real-life.

REVISION1. Name the two axes found on a Cartesian

plane.

2. On a grid, which axis runs… (a) vertically ? (b) horizontally?

3. How many quadrants are there on a grid?

The X axis and the Y axis

4 quadrants

The X axisThe Y axis

4. In which quadrant would an ordered pair of two negative values be plotted?

5. In which quadrant are the X values negative and the Y values positive?

6. What is the name given to the point where the axes intersect?

Quadrant 3

Quadrant 2

The origin

5 steps to the left.

2 steps

up

Help Captain Jack find his treasure. Here is the clue:

• From the origin, (0, 0), positive integers indicate movements to the right and up along the x and y axes respectively.

LOCATING A POINT

• From the origin, (0,0), negative integers indicate movements to the left and down along the x and y axes respectively.

LOCATING A POINT

• The points that will be located are known as an ordered pair (coordinates) and comes in the form of

(x , y) or (x value , y value)

The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.

LOCATING A POINT

LOCATE THE POINTS, LOCATE THE POINTS, K, T & WK, T & W

• The points that will be plotted are known as an ordered pairs (coordinates) and comes in the form of

(x , y) or (x value , y value)

• The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.

Let’s Now Plot Some Points Together

PLOTTING A POINTPLOTTING A POINT

A ( 2, 3 )

(X, Y)

B ( 5, 7 )

A

B

C ( -4, 6)D (-9, 1 )

E (-3, -6)F (-7, -8)

G ( 4, -7)

H ( 9, -4)

C

D

E

F

G

H

• Access the internet.• Go to web address:

http://www.wisc-online.com/Objects/ViewObject.aspx?ID=abm201

• Select the most suitable response in each of the given questions.

GROUP ACTIVITYGROUP ACTIVITY

• Complete the given worksheet.

• Plot the given coordinates

(-10,1), (8,1), (6,-4), (-5,-4) end of sequence.

(-5,2), (-1,2), (-1,7) end of sequence.

(1, 2), (6,2), (1, 10) end of sequence.

Identify the shapes and name the object formed.

CULMINATING ACTIVITYCULMINATING ACTIVITY

Remember these guidelines when you locate and plot coordinates on the Cartesian plane.

• The points that will be located or plotted are known as an ordered pairs (coordinates) and comes in the form of

(x , y) or (x value , y value)

The ordered pair will always meet at a point. This is the intersection of the x and y coordinates.

RECAPITULATIONRECAPITULATION

• Always begin locating or plotting your ordered pairs from the origin (0,0).

• Each first value in an ordered pair represents the x coordinate, and each second value represents the y coordinate.

RECAPITULATIONRECAPITULATION

• Conduct a research on how coordinate geometry is applicable to real life.

HOME WORKHOME WORK