2D and 3D shapes, perimeter and area

Discover our collection of GCSE 2D and 3D shapes, perimeter and area lessons, activities, powerpoints and notes. These resources are hand-picked by the Tes Maths Panel for their relevance to the 9-1 specifications - use them for planning, homework and revision.

This page contains the very best resources for teaching sections G4, G12, G13 and G16 from the GCSE maths specification (first examined in 2017), combining structured lessons and engaging activities. Getting to grips with all aspects of shapes, perimeter and area - including algebraic twists - is key to mastering this component of the more challenging maths GCSE.

View more Geometry and Measures topics

Names and properties of triangles

NRICH - Property Chart

Angles and Polygons, 2D Shapes
Key Stage: 3 ★★

Can you arrange eight of the property cards around the outside of this grid and then draw quadrilaterals in the grid which have the properties corresponding to both their row and column?

This game provides an interesting context in which to consider the properties of quadrilaterals (or triangles), and has a particular focus on the combinations of properties that are possible.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.

The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.

Venn Diagrams 21 - Angles in Triangles

This is a rich Venn Diagram activity on angles in triangles, including isosceles, right-angled etc.

To access all the Venn Diagram activities in this collection, as well as teaching notes, please visit: http://www.mrbartonmaths.com/venn.htm

Here is why I love Venn Diagram activities so much:

1) Students can always make a start. If they can think of a number/expression/object or whatever it might be, it has to go in one of the regions on the diagram, so they are up and running
2) The more regions student find, the more challenging the task gets, which adds a nice element of differentiation
3) They are incredibly versatile, and can be used for almost all maths topics for all ages and abilities
4) They are easy to tweak by simply changing one of the circle labels if you find they are too difficult/easy
5) Students can create their own as an extension task

I hope you and your students enjoy them.

Properties of triangles

I used this to introduce the different types of triangles to my Year 5 class. They then had to write their own 'triangular thrillers' for homework. They loved it!

Names and properties of quadrilaterals and polygons

A powerpoint listing the properties of quadrilaterals including angles, equal/parallel sides, line and rotational symmetry and diagonals. Some slides/ideas taken from other resources credited below. Thanks to Owen134866 for the starter slide which the rest of the powerpoint is based on! (original resource found at: http://www.tes.co.uk/teaching-resource/How-many-Quadrilaterals-6329853/) Thanks to bademola for the riddle questions (original resource found at: http://www.tes.co.uk/teaching-resource/Quadrilaterals-6129305/)

NRICH - Shapely Pairs

Angles and Polygons, 2D Shapes
Key Stage: 3 ★★★

In this game, you turn over two cards. You get to keep those cards if you can draw a triangle which has both properties. Otherwise the cards are returned and the next player takes their turn.

The game provides a powerful and engaging context for working on properties of triangles/quadrilaterals.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.

The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.

NRICH - Property Chart

Angles and Polygons, 2D Shapes
Key Stage: 3 ★★

Can you arrange eight of the property cards around the outside of this grid and then draw quadrilaterals in the grid which have the properties corresponding to both their row and column?

This game provides an interesting context in which to consider the properties of quadrilaterals (or triangles), and has a particular focus on the combinations of properties that are possible.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.

The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.

2D / 3D Shape Snap

I made this to match the following;

shape names,
2D / 3D
shape properties (slide, roll, stand)
curved straight
right angles / not

etc.

Nets, isometric drawings and 3D shapes

KS3 - 3D Shapes and Nets - Lesson Plan

Powerpoint looking at edges, faces and vertices of 3D shapes and nets. KS3 Lesson Plan.

Cube nets

Pupils must decide which nets can make a cube.

3D shapes Nets - Levelled SATs questions

3D shape Nets - key stage 2 sats questions organised by levels 3, 4 and 5. Mark scheme and notes also added as an additional file. Word files for easy editing.

Plans and elevations

Plans and Elevations

A PowerPoint and worksheet for Plans and Elevations at KS3.

I have updated the PowerPoint but kept the old one as well.

Plans and elevations booklet

A booklet on drawing plans and elevations which I've used successfully with a variety of classes at KS3 and KS4 of varying ability.
Starts with drawing three views when given a 3D shape and goes on to asking students to draw the 3D shapes given the three views.

Questions are taken from a variety of resources and exam questions.

Drawing Plans and Elevations Treasure Hunt Game

KS3 Revision Activity. Treasure Hunt activity (like match cards but round the classroom - see instructions) on drawing plans and elevations. Differentiated with 2 levels, low level involves easier shapes, higher level involves more complex shapes. Make sure pupils record the colours in their answers or they may go to the wrong ticket.

Maths Game: Plans and Elevations Quiz Quiz Trade

This task is for understanding how the 3 views show a solid. Fold card/sheets in half then cut into strips. Half the class have cards and the other half have 10 cubes each. Students pair up and the one with the card shows their partner the 3 views. The students with the cubes tries to make the object. they then compare with the correct answer on the reverse of the card. Students then swap and reapeat activity. You will probably need to print 2 sets of the cards. Better if the cards are laminated to be used again.

Perimeter

Perimeter Lesson Plan

Two part lesson on perimeter for a low ability year 9 group. They really found Perry Perimeter engaging and were given time during starter of lesson 2 to create their own cut out of Perry to help them find the perimeter. Lesson ends on a game of Snakes and Ladders (in my other shared resources) which encouraged them to practice their skills as they have low attention spans.

Dinosaur Perimeter Investigation

A perimeter investigation based on dinosaurs (all measurements can be adjusted to match ability)
Powerpoint introduces and outlines task.
1) Lower ability - using 1m, 2m and 5m fences to create and calculate different perimeters - find the biggest/smallest etc. Print fences for practical manipulation.
2) Average - Calculate different perimeters and match dinosaurs to possible enclosure sizes (adjust numbers to suit)
3) Higher ability - 50m of fencing - How many different enclosures can you make? - use decimals. Ext task find area.

Perimeter Worksheet

Entry level perimeter worksheet for simple 2D shapes

Area of triangles

KS3: Area of a Triangle

Area of a triangle
WALT and WILF
Starter: Areas of rectangles
Main: Areas of triangles, missing lengths, compound shapes and problem solving

Area of triangles (with answers)

Differentiated questions: Developing, secured and mastered question sets (can be changed to RAG)
Developing takes students through the derivation of the formula
Secured gives lots of practice on picking the correct values to substitute into the formula
Mastered has problems on compound shapes and multiple step area questions to really test students' knowledge of area of triangles.
Answers on the back as always!

Area of a triangle

adapted from a CIMT activity, pupil lead task to deduce the area of a triangle

NRICH - Baravelle

Properties of Shapes - 2D Shapes
Key Stages: 2, 3 and 4 ★

What can you say about this image? Can you recreate the image? What mathematical questions can you ask about it?

The aim of using this image is to encourage discussion about the different ways of seeing, and to pose questions that can form the focus of further investigation.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.

The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.

Areas of Flags

3 Lessons of Powerpoints and Worksheets covering the areas of Rectangles, Triangles, Parallelograms and Trapeziums. The pupils have to find areas of different colours on national flags which are all the above area, and also using other mathematical topics. You will need to write on the powerpoints quite a bit on the starters, plenaries and examples! If you like this resource then please check out my other stuff on here!

See here an extra lesson for circles! https://www.tes.com/teaching-resource/areas-of-flags-with-circles-11164206

Area/Factors Starter

A puzzle that is ideal as a quick, rich recap on area of rectangles or as a way of using geometry to explore factors.

Area and perimeter murder mysery

Activity for middle to low KS3 students; they find the area, perimeter or missing numbers of simple shapes (and one compound shape) to work out the weapon used (Skateboard!), the name of the murderer (Paula), when it occurred (7th Dec 05) and where it happened (Ascot).

EDIT: well this is embarrassing, I forgot to include an arrow on the parallelogram to show the vertical height! I've uploaded the new document :)

Compound area

Compound area revision

A worksheet on the different types of compound area questions on the Edexcel GCSE exams.

I am getting to the stage with my year 11s that they need to be revising individualised topics rather than me teaching the whole class. I have designed this for them to work independently, without relying on my help. It contains examples, practice questions and exam questions that my students have lost marks on in previous mocks. Answers included.

I hope this is useful! Please look at my other revision resources.

Area of compound shapes that resemble letters (editable worksheet)

Can be used as a stand alone sheet or put together to spell a word for homework purposes using cut and paste.