ChalkHour

Year 6 Maths: Angles in shapes lesson pack

A complete, ready-to-teach KS2 lesson on angles in shapes. Below is a real sample of what ChalkHour makes: the full pack adds three levels of worksheet, model answers, a teaching explainer and print-ready PDF and Word files.

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Real sample

Angles in Polygons: Year 6 Mastery

This lesson covers the properties of angles within 2D shapes. Students will learn the fundamental rules for triangles and quadrilaterals, extending this knowledge to calculate internal angles of any regular polygon.

Learning objectives

  • Recall and use the fact that the angles in a triangle sum to 180 degrees.
  • Recall and use the fact that the angles in a quadrilateral sum to 360 degrees.
  • Calculate missing angles in regular polygons by decomposing them into triangles.
  • Find unknown angles in triangles, quadrilaterals, and regular polygons.

Lesson plan (60 minutes)

  1. Starter · 5 min

    Retrieval practice: Identifying right angles, acute and obtuse angles in isolation.

  2. Introduction · 15 min

    Direct Instruction: Explaining the sum of angles in triangles (180°) and quadrilaterals (360°) using the 'triangle splitting' method.

  3. Guided Practice · 10 min

    Guided Practice: Calculating missing angles in regular polygons and isosceles triangles on the whiteboard.

  4. Independent Practice · 20 min

    Independent Practice: Differentiated worksheets (Support, Core, Stretch).

  5. Review · 10 min

    Plenary: 8-question multiple-choice quiz to check for understanding.

Key vocabulary

Triangle
A 2D shape with three sides and three internal angles.
Quadrilateral
A 2D shape with four sides and four internal angles.
Regular Polygon
A shape where all sides and all internal angles are equal.
Isosceles Triangle
A triangle with at least two equal sides and two equal angles.
Vertex
The point where two sides meet to form an angle.

Core worksheet (first questions)

  1. A right-angled triangle has one angle of 45°. What is the third angle?
  2. Find the missing angle in a quadrilateral with angles 110°, 70°, and 55°.
  3. Calculate the exterior angle of a regular pentagon.
  4. Calculate one interior angle of a regular pentagon.

Quiz (sample)

  1. 1. What is the sum of interior angles in any triangle?

    • A. 90°
    • B. 180°
    • C. 270°
    • D. 360°

  2. 2. What do the interior angles of a quadrilateral always add up to?

    • A. 180°
    • B. 270°
    • C. 360°
    • D. 540°

  3. 3. In an equilateral triangle, what is the size of each angle?

    • A. 45°
    • B. 60°
    • C. 90°
    • D. 120°

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Support and Stretch worksheets, every answer and model answer, the teaching explainer and common misconceptions, editable and ready to print as PDF or Word.

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