Shapes, Angles and Coordinates
Year 5 geometry is mostly about angles. Children learn to compare and name angles, estimate their size and then measure them properly with a protractor, and find missing angles on a straight line and around a point. They also start to see shapes as things with rules: which polygons are regular, what makes a rectangle a rectangle, and how a shape can be moved without changing its size.
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
A coordinate names one point on the grid. Count along the bottom first, then up, and always write the two numbers in that order.
Across first, then up. The first number counts along the bottom, the second counts up the side.
For grown-ups
Angles and shapes behave in predictable ways, and that is the real idea underneath this year's geometry: angles on a straight line always total 180 degrees and angles at a point always total 360, so a missing angle can be reasoned out rather than guessed. Telling regular polygons from irregular ones rests on equal sides and equal angles, not on how neat a shape looks, and recognising 3-D solids from their 2-D drawings builds the spatial sense children lean on later. Reflecting and translating shapes on a grid is the gentle start of coordinate geometry, where position and movement can be described exactly, and none of it is as daunting as the long words suggest.
What is in this topic
- Comparing, naming, estimating and measuring angles
- Missing angles on a straight line and at a point
- Regular and irregular polygons, and rectangle properties
- Naming 3-D shapes from drawings and nets
- Reflecting and translating shapes on a grid
How to help at home
Geometry sticks when it is handled and talked about, not just looked at. A few minutes spotting angles and shapes in the room around you, named out loud, builds far more confidence than a single long worksheet.
- Sort angles against a right angle first, then read the size. Looking at a corner, ask "smaller, exactly, or bigger than 90 degrees?": a 50 degree corner is acute, a 90 degree corner is a right angle, a 130 degree corner is obtuse.
- Use the straight line and the full turn as checks. Angles on a straight line add to 180, so if one is 130 the missing one is 180 - 130 = 50; angles at a point add to 360, so 90 + 140 + the rest means the rest is 360 - 230 = 130.
- Tell regular from irregular by testing for sameness. A regular hexagon has six equal sides and six equal angles; draw a wonky six-sided shape beside it and have them say which is regular and why, so "regular" means equal, not just neat.
- Practise reflecting and translating on squared paper. Mark a triangle, then move it 4 squares right and 2 down, counting each square; for a reflection, fold the paper on the mirror line and check the copy lands exactly on top.
Where children get stuck
The most common slip is measuring an angle off the wrong scale on the protractor, reading 130 when the angle is plainly acute, or the reverse. The fix is to estimate before measuring: decide first whether it is acute (less than 90), a right angle (90), or obtuse (more than 90 but less than 180), then pick the protractor scale that agrees with that guess. If the corner looks smaller than a right angle, the answer simply cannot be more than 90.
The other frequent wobble is confusing a reflection with a translation, since both move the shape. Pin down the difference with one question: "has it been flipped, or just slid?" A translation keeps the shape facing the same way and only counts squares across and down, while a reflection turns it into a mirror image across a line, so a triangle pointing right ends up pointing left.