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Cartesian Coordinates

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

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Cartesian Coordinates

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

  2. 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

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

  4. 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 ? C A (3,3) B (6,2) A C (2,5) B 1 2 3 4 5 6 7 8 Front of the class

  5. 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 6 7 8 1 2 3 4 5 Home

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

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

  8. 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 3 2 1 0 −1 −2 −3 −4 5 A (2, 3) B (5, 3) −5 −4 −3 −2 −1 1 2 3 4 5 6 7 What do point A of x coordinate and y coordinate mean? x

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

  10. (3,3) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  11. (1-4) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  12. (1,4) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  13. (0,0) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  14. (-1,4) Activity 2 Did you get it right ? Try the next icon …. To quit, click on

  15. (7,-5) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  16. (-6,-5) Activity 2 Did you get it right ? Try the next icon ….. To quit, click on

  17. (1,4) (-5,7) (-1,4) (3,3) (0,0) (1,- 4) (-6,-5) Activity 2 Good Job and well done !! Home

  18. Activity 3 Click on the following website to play the game. http://www.shodor.org/interactivate/activities/MazeGame/ 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

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

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

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

  22. y 7 6 5 4 3 2 1 -4 -3 -2 -1 0 1 2 3 4 5 x Question 3 Draw the x-y axis by using 1 cm to represent 1 unit on both axes as shown. 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.

  23. Thank You Congratulations !!! You had completed the assignment !

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