Geometry

Geometry

Shapes Properties and Calculation

  • Understand the types of angles: acute, right, obtuse, reflex.
  • Identify and define polygons: triangle, quadrilateral, pentagon, hexagon, and so on.
  • Be familiar with the properties of different quadrilaterals: squares, rectangles, parallelograms, trapeziums, kites, and rhombuses.
  • Calculate a missing angle in a triangle. Always remember: angles in a triangle add up to 180 degrees.
  • Calculate a missing angle in a quadrilateral. Angles in a quadrilateral add up to 360 degrees.
  • Recall and use the formula to find the sum of angles in any polygon.
  • Understand the rules of angles around a point, on a straight line, vertically opposite angles and corresponding, alternate and interior angles in parallel lines.

Circle Theorems

  • Understand and apply the properties of circles, including circumference, diameter, radius, and area.
  • Make sense of and apply the different circle theorems in problem solving: angles at the centre and circumference, cyclic quadrilaterals, alternate segment theorem, and angles in the same segment.
  • Use the formula to calculate the circumference and area of a circle.

3D Shapes

  • Recognise and know the properties of common 3D shapes: cube, cuboid, cylinder, cone, pyramid, prism, and sphere.
  • Calculate the volume of 3D shapes with regular cross-sections: prisms (including cylinders) and pyramids (including cones).
  • Calculate the volume and surface area of spheres.
  • Realise the connection between 2D nets and 3D solids.

Transformations

  • Perform and describe transformation operations: reflection, rotation, translation, and enlargement.
  • Understand and use vector notation to describe translations.
  • Recognise and describe transformations that produce equivalent results.
  • Appreciate and prove congruency and similarity in shapes.

Trigonometry

  • Use and understand sine, cosine and tangent ratios (SOH CAH TOA) in right-angle triangles.
  • Apply trigonometric ratios for problem-solving including angles of elevation and depression.
  • Employ the sine and cosine rule for non-right angle triangles.
  • Understand and use the area rule for triangles.

Measures and Constructions

  • Use and convert between different units of measurement.
  • Construct geometrical figures using rulers, compasses, and protractors accurately.
  • Understand and use bearings and maps for problem solving.