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Grade 6 · Maths · Lessons
Shapes on the grid
📍corners📏sides🔷shape🔢coordinates
Shapes on the grid.
The big ideaA shape is its corners joined in order. A side is the gap between its numbers.

How it works

A shape is its corners joined in order. A side is the gap between its numbers.

If two corners share the same first number, the side is straight up and down; the length is the gap between the second numbers.

Add all the sides to find the way round.

(7, 1) to (7, 6)• same across• length 6 − 1 = 5(1, 1) to (8, 1)• same up• length 8 − 1 = 7
Sides from coordinates.

Example 1: A side

  1. B is at (7, 1) and C is at (7, 6).
  2. They share 7 across, so the side is vertical.
  3. Its length is 6 − 1 = 5.

Example 2: Round the rectangle

  1. Corners (8, 1), (1, 1), (1, 6) and (8, 6).
  2. Lengths are 7 and 5.
  3. Perimeter: 7 + 5 + 7 + 5 = 24.

Example 3: Draw it

  1. Plot A, B, C, D, E in order and join them.
  2. Join the last back to the first.
  3. The shape closes.

Words to know

vertex
A corner of a shape.
polygon
A closed shape with straight sides.

Watch out

Try it

  1. (2, 3) to (2, 9): how long is the side?
  2. (1, 4) to (6, 4): how long is the side?
  3. A rectangle has sides 3 and 5. What's the perimeter?
  4. Which number differs between (4, 1) and (4, 8)?
Answers: 1. 6 · 2. 5 · 3. 16 · 4. the second
For grown-upsPlot a shape on squared paper from a list of points.
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