ChalkHour

Year 6 Maths: Coordinates in four quadrants lesson pack

A complete, ready-to-teach KS2 lesson on coordinates in four quadrants. Below is a real sample of what ChalkHour makes: the full pack adds three levels of worksheet, model answers, a teaching explainer and print-ready PDF and Word files.

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Real sample

Coordinates in Four Quadrants

This lesson extends students' knowledge of coordinates from the first quadrant to all four quadrants. Students will learn to read and plot coordinates involving negative numbers, understand the structure of the Cartesian plane, and use these skills to identify geometric shapes and calculate distances.

Learning objectives

  • Describe positions on a full coordinate grid (all four quadrants).
  • Plot specified points and draw sides to complete a given polygon.
  • Calculate distances between points with the same x or y coordinate in different quadrants.

Lesson plan (60 minutes)

  1. Introduction · 10 min

    Starter: Recalling coordinates in the first quadrant. Plotting (2,3) and (5,1) on a mini-whiteboard.

  2. Main Teaching · 15 min

    Teacher instruction: Introduce the four quadrants, the origin, and negative axes. Walk through the worked example.

  3. Independent Practice · 20 min

    Differentiated Activity: Students complete Support, Core, or Stretch worksheets based on prior attainment.

  4. Plenary · 15 min

    Review and Quiz: Go through common errors from the worksheets and complete the 8-question MCQ quiz.

Key vocabulary

x-axis
The horizontal axis on a coordinate graph.
y-axis
The vertical axis on a coordinate graph.
Origin
The point (0,0) where the x-axis and y-axis cross.
Quadrant
One of the four sections of a coordinate plane divided by the axes.
Coordinates
A pair of numbers used to locate a point (x, y).

Core worksheet (first questions)

  1. Point A is 4 units left and 5 units up. Write its coordinates.
  2. Point B is 5 units right and 3 units down. Write its coordinates.
  3. Point C is 2 units left and 6 units down. Write its coordinates.
  4. Point D is 3 units left and stays on the x-axis. Write its coordinates.

Quiz (sample)

  1. 1. In what order do we read coordinates?

    • A. y-axis then x-axis
    • B. x-axis then y-axis
    • C. Alphabetical order (y then x)
    • D. Largest number first

  2. 2. What are the coordinates of the origin?

    • A. (1, 1)
    • B. (0, 1)
    • C. (1, 0)
    • D. (0, 0)

  3. 3. Which quadrant has negative x-values and positive y-values?

    • A. First Quadrant
    • B. Second Quadrant
    • C. Third Quadrant
    • D. Fourth Quadrant

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Support and Stretch worksheets, every answer and model answer, the teaching explainer and common misconceptions, editable and ready to print as PDF or Word.

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