Grasp Maths

Year 4

Plot specified points and draw sides to complete a given polygon

Use coordinates to plot points accurately and join them in order to complete a simple polygon.

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Lesson overview

Geometry - position and direction

When plotting a polygon on a grid, each point is placed using its coordinate pair. After plotting the points, join them in the correct order to make the shape.

Plot the points first

A polygon begins with the correct points in the correct places.

PointCoordinate
A(1, 1)
B(4, 1)
C(4, 3)
D(1, 3)

Read each coordinate pair carefully before joining.

Join the points in order

Connect A to B, then B to C, then C to D and back to A.

The order matters.

The last side closes the polygon

A polygon is complete only when the last point is joined back to the first point.

Open shape

not complete

Closed shape

polygon complete

Check that every side has been drawn.

Worked example

Points A(2, 1), B(5, 1), C(5, 4) and D(2, 4) are plotted. What should you do next?

PointCoordinate
A(2, 1)
B(5, 1)
C(5, 4)
D(2, 4)
  1. Plot each point in the correct place.
  2. Join A to B, B to C, C to D and D back to A.
  3. Check that the shape is closed.
  4. The completed polygon is a rectangle.

Round 1: Learn it

Read each coordinate carefully and think about the order of the points.

Finish this round to unlock Round 2: Show you know it.

Question 1

Which point should be plotted at 4 across and 2 up?

Across4
Up2
Question 2

After plotting the points of a polygon, what should you do next?

Question 3

How many points are listed here: A, B, C and D?

PointCoordinate
A(1, 1)
B(3, 1)
C(3, 4)
D(1, 4)
Question 4

Which reminder is correct?

Closed

polygon

Open

not finished

Question 5

Which coordinate order is correct for point C in this table?

PointCoordinate
A(2, 1)
B(5, 1)
C(5, 3)

Common mistakes

Watch for these as you work through the lesson.

  • Plotting the coordinate in the wrong order.
  • Joining the points in the wrong sequence.
  • Forgetting to close the polygon.

Related topics

These ideas connect closely to this lesson.

  • Describe positions on a 2-D grid as coordinates in the first quadrant.
  • Describe movements between positions as translations of a given unit to the left or right and up or down.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 4 practice can connect here later.