## 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.

## Names and properties of triangles

#### NRICH - Property Chart

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

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

## Names and properties of quadrilaterals and polygons

#### Properties of Quadrilaterals

#### NRICH - Shapely Pairs

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

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

shape names,

2D / 3D

shape properties (slide, roll, stand)

polygon, quadrilateral

curved straight

right angles / not

etc.

## Nets, isometric drawings and 3D shapes

#### KS3 - 3D Shapes and Nets - Lesson Plan

#### 3D shapes Nets - Levelled SATs questions

## Plans and elevations

#### Plans and Elevations

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

#### Plans and elevations booklet

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

#### Maths Game: Plans and Elevations Quiz Quiz Trade

## Perimeter

#### Perimeter Lesson Plan

#### Dinosaur Perimeter Investigation

Powerpoint introduces and outlines task.

3 differentiated tasks:

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.

## Area of triangles

#### KS3: 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)

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

#### NRICH - Baravelle

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.

## Area of quadrilaterals

#### Areas of Flags

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

#### Area/Factors Starter

#### Area and perimeter murder mysery

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

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.

NOW WITH ADDED ANSWERS

#### Maths KS2, KS3: Compound Areas worksheet.

#### Compound Area (Level 5)

Looking for a worksheet that's more or less challenging? Check out some of the worksheets below: