Going Deeper with Geometry

The tasks in this feature for Primary teachers offer opportunities for learners to dig deeply into geometrical ideas. With no obvious routes to a solution, the activities encourage children to be creative in their approaches and provide contexts in which they can communicate their findings clearly.

You can also watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

Going Deeper: Achieving Greater Depth with Geometry

Age 5 to 11
This article for Primary teachers outlines how providing opportunities to engage with increasingly complex problems, and to communicate thinking, can help learners 'go deeper' with geometry.

Sizing Them Up

Age 5 to 7Challenge Level
Can you put these shapes in order of size? Start with the smallest.

Always, Sometimes or Never? KS1

Age 5 to 7Challenge Level
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Let's Investigate Triangles

Age 5 to 7Challenge Level
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

One Big Triangle

Age 5 to 7Challenge Level
Make one big triangle so the numbers that touch on the small triangles add to 10.

Matching Triangles

Age 5 to 7Challenge Level
Can you sort these triangles into three different families and explain how you did it?

Skeleton Shapes

Age 5 to 7Challenge Level
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Jig Shapes

Age 5 to 11Challenge Level
Can you each work out what shape you have part of on your card? What will the rest of it look like?

Seeing Squares

Age 5 to 11Challenge Level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

A Cartesian Puzzle

Age 7 to 11Challenge Level
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Shape Draw

Age 7 to 11Challenge Level
Use the information on these cards to draw the shape that is being described.

Square Corners

Age 7 to 11Challenge Level
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Always, Sometimes or Never? Shape

Age 7 to 11Challenge Level
Are these statements always true, sometimes true or never true?

A Puzzling Cube

Age 7 to 11Challenge Level
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Age 7 to 11Challenge Level
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Egyptian Rope

Age 7 to 11Challenge Level
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Fitted

Age 7 to 11Challenge Level
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Estimating Angles

Age 7 to 14Challenge Level
How good are you at estimating angles?

Treasure Hunt

Age 7 to 14Challenge Level
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?