Coordinates Plotting Demonstration This resource provides animated demonstrations

Coordinates – Plotting – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

Pirate Island 5 My treasure be at C 3!! 4 3 Why is this a problem? 2 1 A B C D E

Pirate Island 5 My treasure be at C 3!! 4 3 2 1 He will have to dig up the whole grid square! C 3 is not accurate enough. A B C D E

To name points on a flat surface we use a pair of coordinates. 5 A pair of coordinates: (4, 2) 4 Where is this? 3 2 (4, 2) means 4 across, 2 up 1 0 0 1 2 3 4 5

To name points on a flat surface we use a pair of coordinates. 5 A pair of coordinates: (3. 5, 1) 4 Where is this? 3 2 (3. 5, 1) means 3. 5 across, 1 up 1 0 0 1 2 3 4 5

Grid Cartesian Coordinates describe a point on a plane (a flat surface). Origin (0, 0) 5 4 3 2 1 0 8 0 1 2 3 4 5 Point (4, 2) The grid goes on forever, we show this with arrows. “ 1 axis”, “ 2 axes” (ax-eez) The axes are reference lines.

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 Quadrant II I 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 Quadrant -3 III IV -4 -5 (2, − 5) A ‘Pair of Coordinates’ An ‘Ordered Pair’

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 A 5 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (3, 5)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 A 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (0, 4)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 A 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (2, 0)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 A -4 -5 What are the coordinates of Point A? (2, − 4)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 A What are the coordinates of Point A? (0, − 4)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 A 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (− 4, 3)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 A -5 What are the coordinates of Point A? (− 4, − 3)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 A 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (− 2, 0)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 A 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 -4 -5 What are the coordinates of Point A? (2. 5, 1)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -1 -2 -3 A -4 -5 What are the coordinates of Point A? (− 2. 5, − 4. 5)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 10 A 8 6 4 2 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -2 -4 -6 -8 -10 What are the coordinates of Point A? (− 4, 8)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 10 8 6 4 2 0 8 -5 -4 -3 -2 -1 081 2 3 4 5 -2 -4 -6 -8 A -10 What are the coordinates of Point A? (2, − 7)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 5 4 3 2 1 0 8 -10 -8 -6 -4 -2 0 8 2 4 6 8 10 -1 -2 -3 A -4 -5 What are the coordinates of Point A? (− 9, − 3)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 50 40 A 30 20 10 0 8 -10 -8 -6 -4 -2 0 8 2 4 6 8 10 -20 -30 -40 -50 What are the coordinates of Point A? (2, 45)

Cartesian Coordinates describe a point on a plane (a flat surface). 8 8 50 40 30 20 10 0 8 -10 -8 -6 -4 -2 0 8 2 4 6 8 10 -20 -30 -40 A -50 What are the coordinates of Point A? (1, − 35)

Coordinates ① A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down A C B E D F Write down the coordinates of … Point A ( 3 , 5 ) 1) Point C is moved 5 units down & 3 units right. What are its new coordinates? Point B ( 4 , 0 ) Point C ( − 2 , 2 ) Point D ( 5 , − 4 ) Point E ( − 4 , − 2 ) Point F ( − 3 , − 4. 5 ) Plot and label these coordinates. G: (3, 2) H: (− 3, 1) I: (0, − 5) J: (2, − 3) K: (− 5, − 4) L: (− 4. 5, 5)

Coordinates ① A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down L A H G C B E K F Write down the coordinates of … Point A ( 3 , 5 ) J I 1) Point C is moved 5 units down & 3 units right. What are its new coordinates? ( 1 , − 3 ) Point B ( 4 , 0 ) Point C ( − 2 , 2 ) Point D ( 5 , − 4 ) Point E ( − 4 , − 2 ) Point F ( − 3 , − 4. 5 ) D Plot and label these coordinates. G: (3, 2) H: (− 3, 1) I: (0, − 5) J: (2, − 3) K: (− 5, − 4) L: (− 4. 5, 5) Answers

Coordinates ① ① A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down A A C C B B E E D F Write down the coordinates of … Point A ( 3 , 5 ) 1) Point C is moved 5 units down & 3 units right. What are its new coordinates? Point B ( 4 , 0 ) Point C ( − 2 , 2 ) Point D ( 5 , − 4 ) Point E ( − 4 , − 2 ) Point F ( − 3 , − 4. 5 ) D F Write down the coordinates of … Point A ( 3 , 5 ) 1) Point C is moved 5 units down & 3 units right. What are its new coordinates? Point B ( 4 , 0 ) Plot and label these coordinates. G: (3, 2) H: (− 3, 1) I: (0, − 5) J: (2, − 3) K: (− 5, − 4) L: (− 4. 5, 5) Point C ( − 2 , 2 ) Point D ( 5 , − 4 ) Point E ( − 4 , − 2 ) Point F ( − 3 , − 4. 5 ) Plot and label these coordinates. G: (3, 2) H: (− 3, 1) I: (0, − 5) J: (2, − 3) K: (− 5, − 4) L: (− 4. 5, 5)

Coordinates ② A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down B A C F E D Write down the coordinates of … Point A ( 15 , 4 ) 1) Point C is moved 2 units down & 25 units left. What are its new coordinates? Point B ( − 35 , 5 ) Point C ( 22 , 0 ) Point D ( 9. 2 , 0 ) Point E ( 36 , − 6. 4 ) Point F ( − 39 , − 5. 8 ) Mark and label these coordinates. G: (35, 6) H: (7, 7) I: (11, − 5) J: (− 4, 0) K: (− 24, − 7. 2) L: (− 28, 8. 4)

Coordinates ② A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down L H B A J F G C I K E D Write down the coordinates of … Point A ( 15 , 4 ) 1) Point C is moved 2 units down & 25 units left. What are its new coordinates? ( − 3 , − 2 ) Point B ( − 35 , 5 ) Point C ( 22 , 0 ) Point D ( 9. 2 , 0 ) Point E ( 36 , − 6. 4 ) Point F ( − 39 , − 5. 8 ) Mark and label these coordinates. G: (35, 6) H: (7, 7) I: (11, − 5) J: (− 4, 0) K: (− 24, − 7. 2) L: (− 28, 8. 4) Answers

Coordinates ② ② A pair of coordinates : (4, 1) 4 is the horizontal position: left or right 1 is the vertical position: up or down B B A A C F E D Write down the coordinates of … Point A ( 15 , 4 ) D 1) Point C is moved 2 units down & 25 units left. What are its new coordinates? Point B ( − 35 , 5 ) Point C ( 22 , 0 ) Point D ( 9. 2 , 0 ) Point E ( 36 , − 6. 4 ) Point F ( − 39 , − 5. 8 ) E Write down the coordinates of … Point A ( 15 , 4 ) 1) Point C is moved 2 units down & 25 units left. What are its new coordinates? Point B ( − 35 , 5 ) Mark and label these coordinates. G: (35, 6) H: (7, 7) I: (11, − 5) J: (− 4, 0) K: (− 24, − 7. 2) L: (− 28, 8. 4) Point C ( 22 , 0 ) Point D ( 9. 2 , 0 ) Point E ( 36 , − 6. 4 ) Point F ( − 39 , − 5. 8 ) Mark and label these coordinates. G: (35, 6) H: (7, 7) I: (11, − 5) J: (− 4, 0) K: (− 24, − 7. 2) L: (− 28, 8. 4)

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk