Measuring and Drawing Angles

Overview

Unit: Architects of Tomorrow (Lesson 2 of 30)
Duration: 60 minutes
Class size: 30 students
Age group: Year 5 (9-10 years)
Subject: Maths

National Curriculum Links

Mathematics Programme of Study:
- Geometry – properties of shapes:
  - Identify angles at a point and one whole turn (total 360°).
  - Identify angles at a point on a straight line and ½ a turn (total 180°).
  - Use a protractor to measure and draw angles accurately.

Learning Objectives

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

Recognise different types of angles: acute, right, obtuse, and reflex.
Accurately measure angles using a protractor to the nearest degree.
Draw angles of given measurements using a protractor.
Identify and label angles within 2D shapes.
Understand the concept of angle size relative to 90° and 180°.

Success Criteria

Pupils will:

Name angles correctly and describe their size in relation to right angles.
Use a protractor confidently to measure angles on paper.
Draw angles of specified degrees with reasonable accuracy (±2° tolerance).
Identify angles embedded in everyday objects and classroom shapes.

Resources

Whiteboard and markers
Large classroom protractor display (demonstration and visual aid)
Individual protractors (30)
Worksheet with angle measurement and drawing exercises
Printed 2D shapes with labelled vertices for angle identification
Card sets with angle types for sorting activity
Mini whiteboards and pens for student responses
Rulers and pencils

Lesson Structure

1. Introduction (10 minutes)

Starter discussion: Show a large right angle on the board (90°) and discuss how the angle looks. Ask: "What do you notice about this angle?"
Introduce key vocabulary: acute (<90°), right (90°), obtuse (>90° but <180°), and reflex (>180°) angles.
Use the protractor display to model how angles are marked and measured, clarifying the baseline and centre point.

Teacher Tip: Use real-world examples such as corners of a book (right angle), clock hands at 2 o’clock (acute), etc.

2. Guided Practice – Measuring Angles (15 minutes)

Pupils receive worksheets with various angles drawn (30° up to 150°).
Demonstrate step-by-step how to place the protractor on an angle: align centre hole with the vertex, baseline along one ray, then read scale where the other ray crosses protractor marks.
Working in pairs, pupils take turns measuring angles on the worksheet and record measurements.
Teacher circulates to check technique and correct misconceptions (e.g., confusing inner and outer scales).

Assessment: Use mini whiteboards to ask pupils to show the measurement of a displayed angle during the activity.

3. Independent Task – Drawing Angles (15 minutes)

Instructions: "Using a ruler and protractor, draw angles of 45°, 90°, and 120° on plain paper."
Teacher models drawing the 45° angle on the board, emphasising accuracy in baseline alignment and marking the point at the degree.
Pupils complete the drawing task while teacher assists with questions.

Extension: Challenge capable learners to draw reflex angles (e.g., 210°).

4. Angle Identification in Shapes (10 minutes)

Distribute printed 2D shapes (square, rectangle, triangle, trapezium).
Pupils identify angles within the shape and measure at least two angles using protractors.
Discuss that all interior angles of a rectangle are right angles; triangle angles vary but must add up to 180°.
Highlight angles found in architecture and construction for real-world relevance.

5. Plenary and Review (10 minutes)

Class discussion: "What type of angle did you find most easy or hard to measure and why?"
Angle type sorting game: Pupils hold up cards labelled ‘acute’, ‘right’, ‘obtuse’, or ‘reflex’ in response to teacher-held angle measurements.
Quick quiz on whether a drawn angle is acute, right, obtuse, or reflex, using examples from the lesson.
Recap key points and preview next lesson: exploring angle properties in polygons.

Assessment and Feedback

Formative assessment via observation during pair work and independent tasks.
Mini whiteboard responses during plenary to gauge understanding of angle types and measurements.
Annotated worksheets collected to review measuring and drawing accuracy; provide feedback to individuals.
Verbal feedback and prompts used during interventions.

Differentiation

Support: Pair less confident pupils with stronger peers; provide protractors with larger print scales; use physical angle manipulatives.
Challenge: Extension drawing for reflex angles and problems identifying missing angle sizes in shapes.

Cross-Curricular Links and Enrichment

Design & Technology: Relate angle measurement to architectural drawing skills.
Art: Discuss perspective and how angles create depth.
ICT: Use interactive angle measuring apps for homework or extension.

Reflection (for teacher post-lesson)

Which pupils showed strong fluency with protractors?
Were misconceptions around scale reading effectively addressed?
Did the practical element engage learners and improve confidence?
How will this lesson inform upcoming lessons in this unit?

This lesson plan ensures comprehensive coverage of Year 5 geometry expectations on angles, blending practical skills with conceptual understanding linked directly to the National Curriculum goals.

Teaching Instructions