Students learn how to calculate missing angles in a quadrilateral, using the fact that the interior angles sum to 360°.
As learning progresses, they find missing angles using a combination of angles about a point, on a line and in a triangle, applying these to differentiated problems that build from calculating a single missing angle to proving the angle sum by considering exterior angles.
Scheme of Work Links
Angle Properties Foundation | Angle Geometry Higher
Differentiated Learning Objectives
- All students should understand that a quadrilateral comprises two triangles and therefore has a sum of 360 degrees.
- Most students should be able to calculate an unknown angle with a quadrilateral.
- Some students should be able to prove there are 360° within a quadrilateral by considering external angles.
