2D Coordinates (Edexcel IGCSE Maths A (Modular))

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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  andare 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 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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Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.

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Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.