Shapes, Angles and Coordinates
Year 6 geometry pulls shapes, angles and the coordinate grid together into one way of reasoning about space. Children classify 2-D shapes by their properties, match nets to the 3-D shapes they fold into, count faces, edges and vertices, and name the parts of a circle, including the radius and the diameter that is always twice as long. None of it is about memorising names: it is about seeing why a shape is what it is.
Practise Shapes, Angles and Coordinates
Have a guess, even if you're not sure. Get one wrong and we'll show you why, so every miss is a chance to learn.
Timed practice
The same practice, just with a gentle clock. Pick a length and see how many you can answer.
Good to know
Shapes and angles
Your shape and angle spotter to lean on while you practise.
2D shapes
Angle types
Reading a coordinate
In Year 6 the grid carries on past zero both ways, so a coordinate can have a minus in either place. Along the bottom first, then up or down.
Across first, then up. Left of zero and below zero are the negative numbers, so a point can have a minus in either place.
For grown-ups
By Year 6, angles become a matter of reasoning rather than recall. Children find unknown angles in triangles, quadrilaterals and regular polygons by trusting that a triangle's angles total 180 degrees, that vertically opposite angles are equal, and that each rule builds on the last. Alongside this, they read and plot points across all four quadrants of the coordinate grid, including coordinates with negative numbers, treating every position as a clear instruction rather than guesswork. This is the geometric thinking and the negative-number confidence that secondary maths leans on.
What is in this topic
- Classifying 2-D shapes by their properties
- Nets of 3-D shapes, and faces, edges and vertices
- The parts of a circle, including radius and diameter
- Unknown angles in triangles, quadrilaterals and regular polygons
- Vertically opposite angles
- Four-quadrant coordinates: read, plot, reflect and translate, including negatives
How to help at home
Year 6 shape work rewards reasoning over memorising. The aim is for your child to justify each answer ("I know because..."), so when a question looks unfamiliar they can still work it out from a rule they trust.
- Treat angle facts as tools, not things to recall. For the triangle on the card, agree the rule that its three angles always total 180 degrees, then test it: if two angles are 100 and 45, the third is 180 minus 145 = 35.
- Build the quadrilateral and polygon rules out of the triangle. A four-sided shape splits into two triangles, so its angles total 2 times 180 = 360; that is why three known corners of 90, 90 and 100 leave 360 minus 280 = 80 for the last.
- Practise coordinates as instructions, not pictures. To reflect (3, 2) in the y-axis, say out loud 'the x flips sign', giving (-3, 2); to translate it right 4 and up 3, add to each: (3+4, 2+3) = (7, 5).
Where children get stuck
A very common slip is treating 'vertically opposite' as if it means the angle above or below, so children pick the wrong pair. Fix it by pointing at the actual crossing: where two lines cross, the angles that sit directly across the X from each other are the equal pair, so if one is 110 degrees its opposite is also 110, while the angle next to it makes 180 with it (180 minus 110 = 70).
The other frequent wobble is muddling radius and diameter, often halving when they should double or vice versa. Anchor it to the picture: the radius reaches from the centre to the edge, and the diameter crosses the whole circle through the centre, so the diameter is always twice the radius. A radius of 5 cm means a diameter of 10 cm, and a diameter of 18 cm means a radius of 9 cm.