Exploring 2D Shapes

Overview

Duration: 60 minutes
Class Size: 30
Unit: Architects of Geometry (Lesson 2 of 12)
Topic: Identifying and classifying 2D shapes in architecture and creating a shape collage

National Curriculum Links (England, Key Stage 2)

Mathematics Program of Study – Geometry: Properties of Shapes (Year 5)

Recognise and describe common 2D shapes (including rectangles, parallelograms, rhombuses, trapeziums, kites, and other polygons) based on their properties and sizes.
Identify, describe and represent the position of a shape following a reflection or translation, using appropriate language and recognising that the shape has not changed.
Draw given 2D shapes accurately, using appropriate tools. (Supporting accuracy when creating shape collages.)

Mathematical vocabulary: polygon, vertex (vertices), edge, parallel, perpendicular, right angle, acute, obtuse, properties of shapes, regular, irregular.

Learning Objectives

By the end of this lesson, pupils will be able to:

Identify and classify a variety of 2D shapes commonly seen in architecture (e.g., triangles, rectangles, squares, parallelograms, trapeziums, and hexagons).
Explain the properties of these shapes (e.g., number of sides, vertices, parallel sides, right angles).
Recognise how 2D shapes are combined and arranged in architectural features.
Create a collaborative 2D shape collage reflecting their understanding of shape use in architecture.

Resources

Projector/interactive whiteboard with images of buildings showing visible geometric shapes (e.g., famous landmarks, cathedrals, bridges).
Large sheets of card or paper for each group.
Pre-cut coloured paper shapes (various 2D shapes including polygons, triangles, trapeziums).
Glue sticks, scissors, rulers.
Shape property mats (with definitions and examples for reference).
'Shape Detective' worksheet (for recording identified shapes and properties).
Digital camera/tablet (optional, for photographing real-world shapes around school).

Lesson Structure

1. Starter Activity (10 minutes)

“Shape in Architecture Brainstorm”

Show high-quality images of famous buildings and architectural structures (e.g., the Gherkin in London, the Sydney Opera House, classical buildings with columns).
Ask pupils to shout out all the 2D shapes they can spot in these pictures.
Record ideas on the board, grouping by shape types and discussing briefly the properties that help identify these shapes.

Teacher focus: Emphasise vocabulary such as vertices, parallel sides, and regular/irregular shapes. Challenge pupils to identify less obvious shapes like trapeziums and parallelograms.

2. Main Activity Part 1 - Shape Identification and Classification (15 minutes)

Hand out ‘Shape Detective’ worksheets and shape property mats.
In pairs, pupils look around the classroom or use printed photos of local buildings provided by the teacher to identify at least five different 2D shapes visible in architectural features.
For each shape identified, pupils must:
- Name the shape
- Draw it to scale in their worksheet
- Write down its key properties (e.g., number of sides, presence of right angles, parallel sides).
Circulate the room to assist, ask probing questions, and ensure use of correct terminology.

3. Main Activity Part 2 - Creating a Shape Collage (25 minutes)

Pupils form groups of 5 and use pre-cut coloured shapes to create a large collage of an architectural structure of their choice (teacher provides photos for inspiration or they can design an original building).
Encourage pupils to:
- Think carefully about how shapes fit together, highlighting different properties (e.g., combining rectangles and triangles to form rooftops or windows).
- Use rulers to measure sides and ensure neatness, discussing symmetry and repetition in architecture.
Throughout the activity, prompt with questions:
- How do these shapes support each other in building design?
- Why might architects choose these particular shapes?
Each group prepares a short explanation of their collage’s shapes and properties.

4. Plenary (10 minutes)

Groups present their shape collages to the class, explaining the different shapes used and why they think those shapes were chosen in architecture.
Use a quick 'thumbs up/down' or mini quiz on shape properties to consolidate learning. Example questions:
- “Which shape has exactly one pair of parallel sides?” (Answer: trapezium)
- “How many vertices does a hexagon have?”
Summarise by reinforcing how 2D shapes are foundational to the strength and beauty of buildings.

Assessment and Feedback

Formative assessment through observation during pair and group work (correct identification, use of terminology, collaboration).
Review ‘Shape Detective’ worksheets for accurate shape classification and property description.
Evaluate shape collages for application of knowledge and creativity.
Use plenary quiz responses for quick understanding check.

Differentiation

Support: Provide pre-labelled shapes and property mats with diagrams for pupils who need additional help.
Challenge: Encourage higher-achieving pupils to include irregular polygons and explore reflections/translations of shapes within their collages.
Provide sentence starters for verbal presentations.

Cross-Curricular Links

Art: Understanding shapes and patterns in design and architecture.
Geography/History: Discuss famous UK architecture and its historical context.

Homework Suggestion

Take a photo of a building or public space feature at home or in the local area and identify any 2D shapes found. Write a few sentences describing these shapes and their properties.

This lesson plan aims to develop geometric reasoning through real-world applications, enabling pupils to connect abstract maths with tangible, visual architectural examples. The collaborative and hands-on nature will engage diverse learners and solidify the understanding of 2D shapes in context.

Teaching Instructions