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Designing City Layout

Maths • 60 • 30 students • Created with AI following Aligned with National Curriculum for England

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Maths
60
30 students
22 October 2025

Teaching Instructions

This is lesson 5 of 12 in the unit "Architects of Geometry". Lesson Title: Designing the City Layout Lesson Description: Students will collaborate to design a layout for their miniature city, applying their knowledge of shapes, scale, and measurement to create a cohesive plan.

Overview

In this 60-minute lesson, Year 5 pupils will collaboratively design a miniature city layout using their understanding of 2D and 3D shapes, scale, and measurement. This lesson builds on their geometric reasoning and spatial awareness, aligning with the National Curriculum for England, focusing on shape, position, and movement.


National Curriculum Links

Geometry: Properties of Shapes

  • Recognise angles as a property of shape or a description of a turn.
  • Identify: angles at a point and 1 whole turn (total 360°), angles at a point on a straight line and ½ a turn (total 180°).
  • Draw given angles, and measure them in degrees (°).
  • Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

Measurement: Geometry and Measures

  • Understand and use approximate equivalences between metric units and common imperial units.
  • Solve problems involving converting between units of time.
  • Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places.

Learning Objectives (WALT)

  • WALT apply knowledge of shapes, scale and measurement to design a city layout collaboratively.
  • WALT calculate and record dimensions using appropriate units of measure.
  • WALT communicate geometric ideas clearly using precise mathematical vocabulary.

Success Criteria

  • Pupils can accurately draw and label their city layout to scale.
  • Pupils use appropriate units of measurement to describe lengths and areas.
  • Pupils demonstrate collaboration and clear communication of geometric concepts.

Resources Needed

  • Large grid paper (e.g. graph paper) for city layouts (at least A3 size).
  • Rulers, protractors, compasses.
  • Scaled templates or cut-outs of common shapes (squares, rectangles, triangles, circles).
  • Coloured pencils or markers.
  • Whiteboard and pens for teacher explanations.
  • Mini whiteboards or notebooks for calculations.

Lesson Structure

1. Starter Activity (10 minutes)

  • Recap key vocabulary: scale, measurement, angle, shape, perimeter, area.
  • Quick mental maths quiz: calculate perimeter of given shapes.
  • Pose the question: “How can we use shapes and measurements to design a city that fits within a limited space?”

2. Introduction (10 minutes)

  • Show a simple, real-world city layout map. Discuss scale and the importance of measurement when planning buildings and roads.
  • Introduce the task: In groups, pupils will design their own miniature city layout using given constraints (e.g., total area allowed, shape types for buildings, road widths).
  • Discuss how to use scale (e.g., 1 square = 1 metre).

3. Main Activity: Collaborative City Design (30 minutes)

Group Work (mixed-ability groups of 5)

  • Each group receives graph paper and shape templates.
  • Set constraints: total city area of 25 x 25 squares (metres), roads must be at least 1 metre wide, buildings must fit within the designated area without overlap.
  • Groups decide on the types and numbers of buildings, public spaces, roads, and parks.
  • Pupils draw shapes to scale, measure lengths and angles where necessary, and label all parts accurately.
  • Teacher circulates to support, focusing questions on scale and measurement, and offering scaffolded prompts for less confident pupils (e.g., measuring one side, then multiplying).

Differentiation

  • SEN/Lower Achievers: Use pre-cut shapes with size labels, given simplified measurements, and focus on placement rather than complex measurements.
  • Higher Attainers: Challenge to incorporate reflections or rotations of building shapes, calculate total area occupied by buildings, and estimate leftover space for parks.

4. Plenary: Share and Reflect (10 minutes)

  • Groups present their city layouts, explaining their scale choices and measurement strategies.
  • Teacher facilitates peer feedback, focusing on use of vocabulary and accuracy of measurements.
  • Consolidate learning by highlighting how geometry and measurement help in real-world design work such as architecture and urban planning.

Assessment

Formative:

  • Observation during group work – use a checklist to track understanding of scale, measurement accuracy, and use of geometric vocabulary.
  • Questioning during presentations to assess conceptual clarity.

Summative:

  • Collect final city layout sheets to verify appropriate use of scale, measurement, and shape properties.

Additional Notes

  • Encourage mathematical talk throughout to enhance reasoning.
  • Consider incorporating a quick digital element next lesson, such as design via simple CAD software or geometry apps, to build on today’s understanding.
  • Emphasise real-world applications to engage learners, including showing images of famous planned cities or architectural floorplans.

Reflection for Teacher

  • Were pupils effectively collaborating and using mathematical language?
  • Did learners understand the concept of scale and measurement as applied?
  • How well did the differentiation meet learners’ needs?
  • Plan to revisit or reinforce any misconceptions in the next lesson.

This lesson plan balances creativity with rigour, perfectly targeting Year 5 pupils to meet the National Curriculum’s geometry and measurement expectations through an engaging, practical project.

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