National curriculum content

• Draw 2-D shapes using given dimensions and angles
• Recognise, describe and build simple 3-D shapes, including making nets
• Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
• Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
• Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

Lesson objectives

1. Measure with a protractor
2. Recap – Draw lines and angles accurately
3. Introduce angles
4. Recap – Angles on a straight line
5. Recap – Angles around a point
6. Calculate angles
7. Vertically opposite angles
8. Angles in a triangle
9. Angles in a triangle – special cases
10. Angles in a triangle – missing angles
11. Angles in a special quadrilaterals
12. Angles in regular polygons
13. Draw shapes accurately
14. Draw nets of 3-D shapes

What we want children to know

• Know that there are 360 degrees in a full turn
• Pupils draw shapes and nets accurately, using measuring tools and conventional markings and labels for lines and angles
• Pupils describe the properties of shapes and explain how unknown angles and lengths can be derived from known measurements.
• Know when they should measure an angle and when they should calculate the size of an angle from given facts
• Recognise that vertically opposite angles share a vertex
• Recognise that a net is a two-dimensional figure that can be folded to create a three-dimensional shape

What skills we want children to develop

Use knowledge to solve reasoning and problem solving questions such as:

What’s the same, what’s different?

• What is the same and what is different about the nets of a triangular prism and a square-based pyramid?

Other possibilities

• If one angle of an isosceles triangle is 36 degrees. What could the triangle look like – draw it. Are there other possibilities? Draw a net for a cuboid that has a volume of 24 cm³.

Always, sometimes, never

• Is it always, sometimes or never true that, in a polyhedron, the number of vertices plus the number of faces equals the number of edges?

Vocabulary/Mathematical Talk

• How can we find the missing angles?
• What do the three interior angles add up to? Would this work for all triangles?
• Does the type of triangle change anything?
• If you know one angle is an isosceles triangle, what else do you know?
• Is a square a rhombus? Is a rhombus a square?
• What is a regular polygon? What is an irregular polygon?
• How can we ensure our measurements are accurate?