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
- Measure with a protractor
- Recap – Draw lines and angles accurately
- Introduce angles
- Recap – Angles on a straight line
- Recap – Angles around a point
- Calculate angles
- Vertically opposite angles
- Angles in a triangle
- Angles in a triangle – special cases
- Angles in a triangle – missing angles
- Angles in a special quadrilaterals
- Angles in regular polygons
- Draw shapes accurately
- 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?
- 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?
- 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?