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Mastering Coordinates: Plotting Explained Step by Step

Learn how to read and plot coordinates in all four quadrants with detailed explanations and hints. Understand the x-axis, y-axis, ordered pairs, and how to plot points accurately. Practice plotting points in the four quadrants grid and explore transformations. Join the investigation task and discover patterns. Enhance your skills in recognizing parallel and perpendicular faces and edges on 3D shapes. Explore various 3D shapes like cubes, cuboids, spheres, cones, and cylinders.

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Mastering Coordinates: Plotting Explained Step by Step

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  1. Read and plot coordinates in all quadrants

  2. Definition • Grid – A pattern of horizontal and vertical lines, usually forming squares.

  3. Definition • Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines. 6 5 4 3 2 1 0 0 1 2 3 4 5 6

  4. Definition • x axis – a horizontal number line on a coordinate grid. x 0 1 2 3 4 5 6

  5. Hint • x ‘is a cross’ (across ) x 0 1 2 3 4 5 6

  6. Definition • y axis – a vertical number line on a coordinate grid. 6 y 5 4 3 2 1 0

  7. Definition • Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4) 6 5 (3,4) 4 3 2 1 0 0 1 2 3 4 5 6

  8. Hint • The first number is always the x or first letter in the alphabet. The second number is always the y the second letter in the alphabet. 6 5 (3,4) 4 3 2 1 0 0 1 2 3 4 5 6

  9. How to Plot Ordered Pairs • Step 1 – Always find the x value first, moving horizontally 6 5 (2, 3) 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  10. How to Plot Ordered Pairs • Step 2 – Starting from your new position find the y value by moving vertically 6 (2, 3) 5 4 y (2,3) 3 2 1 0 x 0 1 2 3 4 5 6

  11. How to Find Ordered Pairs • Step 1 – Find how far over horizontally the point is by counting to the right 6 5 (5, 4) 4 y 3 2 1 x 0 0 1 2 3 4 5 6

  12. How to Find Ordered Pairs • Step 2 – Now count how far vertically the point is by counting up 6 5 (5,4) 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  13. What is the ordered pair? (3,5) 6 5 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  14. What is the ordered pair? (2,6) 6 5 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  15. What is the ordered pair? (4,0) 6 5 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  16. What is the ordered pair? (0,5) 6 5 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  17. What is the ordered pair? (1,1) 6 5 4 y 3 2 1 0 x 0 1 2 3 4 5 6

  18. Learning Objective Read and plot coordinates in all quadrants

  19. When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid. y 3 2 1 x 0 Four Quadrants Grid -1 -2 -3 -3 -2 -1 0 1 2 3

  20. If the x is negative you move to the left of the 0. x = -2 y 3 2 1 x 0 Four Quadrants Grid -1 -2 -3 -3 -2 -1 0 1 2 3

  21. If the y is negative you move down below the zero. y = -3 y 3 2 1 x 0 Four Quadrants Grid -1 -2 -3 -3 -2 -1 0 1 2 3

  22. Step 1 - Plot the x number first moving to the left when the number is negative. y (-3, -2) 3 2 1 x 0 How to Plot in 4 Quadrants -1 -2 -3 -3 -2 -1 0 1 2 3

  23. Step 2 - Plot the y number moving from your new position down 2 when the number is negative. y 3 2 (-3, -2) 1 x 0 How to Plot in 4 Quadrants -1 -2 -3 -3 -2 -1 0 1 2 3

  24. When x is positive and y is negative, plot the ordered pair in this manner. y 3 2 (2, -2) 1 x 0 How to Plot in 4 Quadrants -1 -2 -3 -3 -2 -1 0 1 2 3

  25. When x is negative and y is positive, plot the ordered pair in this manner. y 3 2 (-2, 2) 1 x 0 How to Plot in 4 Quadrants -1 -2 -3 -3 -2 -1 0 1 2 3

  26. (-3, -3) y 3 2 1 x 0 Plot This Ordered Pair -1 -2 -3 -3 -2 -1 0 1 2 3

  27. (-1, 2) y 3 2 1 x 0 Plot This Ordered Pair -1 -2 -3 -3 -2 -1 0 1 2 3

  28. (1, -1) y 3 2 1 x 0 Plot This Ordered Pair -1 -2 -3 -3 -2 -1 0 1 2 3

  29. (2, -2) y 3 2 1 x 0 Plot This Ordered Pair -1 -2 -3 -3 -2 -1 0 1 2 3

  30. (-3, -2) y 3 2 1 x 0 Plot This Ordered Pair -1 -2 -3 -3 -2 -1 0 1 2 3

  31. y Y Axis and positioning vertical 10 9 Use brackets (?,?) and remember X first Y next 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 X Axis and positioning horizontal -3 -4 -5 ORIGIN -6 -7 -8 -9 -10 Coordinates Keywords & Rules (4,8) SECOND QUADRANT FIRST QUADRANT THIRD QUADRANT FOURTH QUADRANT Mr D. Pay

  32. YOUR TASK! Whole class investigation: Pairs plot the following coordinates on grids: ( -3, -7), (3,5), (0, -1), (1, 1), (-2, -5), (5,9), (-1, -3), (2,3). Join al l the points, what do you notice? Choose three of the points and add 3 to each of the x coordinates. Chose these three new points to each other using a different coloured pencil. Try subtracting three and drawing the new points from x coordinates. What happens if you subtract three from the y and x coordinates?

  33. Coordinates in 4 Quadrants. y a 10 a b 9 8 7 b 1 d 6 d a 6 5 What are the vertex coordinates of each shape? 4 a d 5 c c b 3 2 2 c b 1 x c 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 a b a b -2 a -3 7 d 3 -4 a -5 d c -6 b c d -7 4 8 -8 e b c -9 -10 c d Mr D. Pay 8,10 -5,9 -8,9 2,7 -2,6 10,7 -10,4 -5,6 1,4 -7,4 6,4 8,4 -6,2 -1,2 1,0 10,-1 -10,-1 -6,-1 7,-1 -3,-5 4,-3 -6,-5 7,-6 -10,-5 0,-6 10,-6 -6,-8 6,-9 2,-9 -1,-10 -4,-10

  34. Learning Objective Recognise parallel and perpendicular faces and edges on 3.D shapes Rehearse the terms polyhedron, tetrahedron and begin to use dodecahedron.

  35. What is the difference between a 2D shape and 3D shape? Which 3D shapes can you name?

  36. CUBE Can you think of any objects which are the shape of a cube?

  37. CUBOID Can you think of any objects which are the shape of a cuboid?

  38. SPHERE Can you think of any objects which are shape of a sphere?

  39. CONE Can you think of any objects which are the shape of a cone?

  40. CYLINDER Can you think of any objects which are the shape of a cylinder?

  41. SQUARE BASED PYRAMID

  42. TRIANGULAR PRISM

  43. What is a Polyhedron? Non-Polyhedrons Polyhedrons

  44. Do you notice a difference? Non-Polyhedrons Polyhedrons

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