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Maths Gcse Aqa Foundation

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  3. Averages-Ranges-And-Data Aqa Foundation
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  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
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  5. Simple-Probability-Diagrams Aqa Foundation
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  6. Transformations Aqa Foundation
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  7. Vectors Aqa Foundation
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  18. Standard-And-Compound-Units Aqa Foundation
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  21. Sequences Aqa Foundation
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  27. Functions Aqa Foundation
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  34. Introduction Aqa Foundation
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Exam code:8300

2D coordinates

What is the Cartesian plane?

  • The Cartesian plane is a two-dimensional grid that has

    • a horizontal scale, called the x-axis

    • a vertical scale, called the y-axis

  • The two axes meet at the origin

    • where x and y are both 0

What are coordinates?

  • Coordinates are a pair of numbers, and y , that describe the location of a point on the grid

    • They are written in brackets as (x y )

    • The point is

      • units on the horizontal scale

      • y units on the vertical scale

  • The origin is (0, 0)

    • Positive values of are to the right of the origin

      • Negative values are to the left

    • Positive values of y are above the origin

      • Negative values are below

  • For example, from the origin:

    • (2, 5) is the point 2 units to the right and 5 units up

    • (-1, -4) is the point 1 unit to the left and 4 units down

  • “Along the corridor, up the stairs” helps to remember horizontal then vertical, (x y)

Examiner Tips and Tricks

  • Check the scale on the coordinate grid!

    • 1 square might not be 1 unit

Worked Example

(a) Write down the coordinates of the point A shown on the axes below. 

2d-coordinates-we

 A is 3 units to left, so is −3
A is 4 units up, so y is 4
Give your answer in brackets

(−3, 4)

(b) Mark the point B with coordinates (3,- 2) on the same set of axes.

Start at the origin
Count 3 units right and two units down
Mark the point with a solid circle or cross and label it B

6j_PGh2e_2d-coordinates-we-answer

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