Geometry

Become familiar with basic geometrical shapes such as squares, rectangles, circles, and triangles, including equilateral, isosceles, and right-angled triangles.
Understand that the angles inside any triangle always add up to 180 degrees and the angles around a point always equate to 360 degrees.
Know that in a right-angled triangle, the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the squares on the other two sides.
Master the definitions of regular and irregular polygons. For example, a regular polygon is a shape with all equal sides and angles, whereas an irregular polygon doesn’t have equal sides and angles.
Understand how to calculate the area and perimeter of various shapes. This includes complicated figures that are combinations of simpler shapes.
Learn about properties of circles, including radius, diameter, circumference, and area.
Know how to calculate the volume of cylinders, cones, and spheres.
Be able to use and manipulate formulas for area, surface area and volume of 2D and 3D shapes.
Understand the different types of angles - acute, obtuse, right, straight, reflex, and full rotation.
Understand and be able to calculate the interior and exterior angles of polygons, and know the sum of the interior angles of polygons.
Be able to identify and use symmetry (both reflective and rotational) in 2D shapes.
Understand and use the properties of parallel lines and angles formed by transversals.
It is necessary to be familiar with the concept of scale drawings and scale factors.
Be confident in working with bearings and be able to measure, draw and use bearings in problems.
Understand transformations including rotations, translations, reflections, and enlargements, as well as the concepts of symmetry and congruence.
Learn how to construct and interpret plans and elevations of 3D shapes.
Learn about different types of lines such as parallel and perpendicular lines and the relationship between their gradients.
Ensure you completely understand coordinate geometry, including midpoints, distance between points and gradient.
Be comfortable with the concept of locus and how to solve problems involving loci on a 2D plane.
Trigonometry is crucial - understand sine, cosine, and tangent and how they relate to right-angled triangles, as well as understanding sine and cosine rule for non-right angled triangles.
To be able to determine the circumference and area of a circle, students should memorise the formulas. They will also need to know how the radius, diameter and circumference of a circle relate to each other.
Get comfortable with mathematical proofs involving geometric concepts.