Content Cartesian Coordinates History Activity 1 Activity 2

Content Cartesian Coordinates History Activity 1 Activity 2 Activity 3 Objectives: v Know what is a Cartesian coordinate system v Give the Cartesian coordinates of a point. v Locate and plot a point with given Cartesian coordinates v Graph ordered pairs.

History Rene Descarte (1596 – 1650) was a French philosopher, mathematician and a scientist. The story goes that one day when Descartes was sick in bed, he saw a fly crawling on the tiled ceiling. He wondered, “ Exactly where is that fly? ” Descartes imagined a grid superimposed on the ceiling. It made him realized that he could explain where the fly was by defining a pair of numbers that can be read off with reference to two number lines. Today, this grid was known as Cartesian Coordinate system. Home

Today , the coordinate system helps us to …. Application in 3 D space locate seats in cinema locate objects using GPS tracking system Home

Activity 1 This is the seating arrangement of a class, the teacher locate the position of student A, B, C using a pair of numbers (x, y). How did she locate their positions ? A (3, 3) C B (6, 2) C (2, 5) A B 1 2 3 4 5 Front of the class 6 7 8

Well, the first number indicates the position of the required row from the left and , the second number , the position up the row. Thus, student C’s seat was at (2, 5), B’s seat was at (6, 2) and A’s seat was at (3, 3). C 5 4 3 A B 2 1 1 2 3 4 5 6 7 8 Home

What is a Cartesian Coordinate Plane ? The vertical number line is called the y axis. y A pair of real number is called an ordered pair. 5 4 The point of intersection of the two number lines is called ORIGIN. A (2, 3) 3 2 1 − 5 − 4 − 3 − 2 − 1 0 − 1 − 2 B ( 5, 3) − 3 − 4 5 x 1 2 3 4 5 The horizontal number line is called the x axis.

What is an ordered pair ? • When we say the point A has coordinates: ( 2, 3 ) Number 2 is called Number 3 is called x -coordinate y -coordinate

What do point A of x coordinate and y coordinate mean? A has y coordinate = 3 Draw a horizontal line from A, we will reach the y axis at the number 3 y A has x-coordinate = 2. Draw a line vertical line from A, we will reach the x-axis at 2. 5 4 A (2, 3) 3 2 1 − 5 − 4 − 3 − 2 − 1 0 − 1 − 2 − 3 B ( 5, 3) − 4 5 1 2 3 4 5 6 7 x

Activity 2 Can you name the ordered pair for the following places near your school? To check your answers , click on the icon.

Activity 2 Did you get it right ? Try the next icon …. . (3, 3) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. . (1 -4) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. . (1, 4) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. . (0, 0) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. (-1, 4) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. . (7, -5) To quit, click on

Activity 2 Did you get it right ? Try the next icon …. . (-6, -5) To quit, click on

Activity 2 Good Job and well done !! (-5, 7) (-1, 4) (3, 3) (0, 0) (-6, -5) (1, - 4) Home

Activity 3 Click on the following website to play the game. http: //www. shodor. org/interactivate/activities/Maze. Game/ Instructions : Key in the x and y coordinates so that the robot can travel safely to the green location by avoiding all the mine fields. Please be patient while being connected to internet. Home

E-learning Task Materials : 1 piece of graph paper Instructions: 1. Write your name, index number and class. 2. Write the answers for Question 1 and 2 at the back of the graph paper. 3. For Question 3 plot your points on your graph paper and answer the question. 4. Hand in your work on 4 th Feb, Monday to your Maths teacher.

Question 1 (i) Write down the coordinates of the following points: (a)N (b) P (c) S (d) U (b)(ii) Write down the points denoted by the following: (d) (-2, 3) (e) (3, 4) (f) (1, -1) (c)(iii) Identify the figure if you plot and join the following points ( 1, -1) , (1, 5) , (-3, -1)

Question 2 PQRS is a square. Write down the coordinates of P.

Question 3 Draw the x-y axis by using 1 cm to represent 1 unit on both axes as shown. y 7 6 5 4 3 2 1 -4 -3 -2 -1 0 1 2 3 4 5 x Plot and join the points in the given order: (1, 5), (3, 5), (1, 7), (1, 3) (-2, 3), (-1, 2), (3, 2), (4, 3), (1, 3). Identify the figure that you have obtained.

Congratulations !!! You had completed the assignment !