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Read and plot coordinates in all quadrants

Read and plot coordinates in all quadrants. Definition. Grid – A pattern of horizontal and vertical lines, usually forming squares. 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.

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Read and plot coordinates in all quadrants

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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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