Quick start

Choose a section:
Choose something to look for:
...and choose a categorisation:
 

Category: Geometry Key stage 3  

Abbreviation: MG KS3

See also: Pre-curriculum/National curriculum descriptions. Category lists.

Description

Pupils should be taught to:

  • derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders)
  • calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes
  • draw and measure line segments and angles in geometric figures, including interpreting scale drawings
  • derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line
  • describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric
  • use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles
  • derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies
  • identify properties of, and describe the results of, translations, rotations and reflections applied to given figures
  • identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
  • apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
  • understand and use the relationship between parallel lines and alternate and corresponding angles
  • derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons
  • apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
  • use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
  • use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D
  • interpret mathematical relationships both algebraically and geometrically

"Geometry Key stage 3" pages

There are currently no "Geometry Key stage 3" pages. Would you like to create a new page?

Support Commtap to keep it online

Thank you for visiting Commtap.

Commtap needs £5,000 per year to cover its basic running costs, we only have £1,000 left. Please make a donation now.

Please read this message as it is extremely important.

  1. Visitor donations mean we can continue to host over 1,000 free activities to support speech, language, and communication development.
  2. Visitor donations mean we can continue to provide free resources to address a wide range of communication needs, including limited speech or language, interaction challenges, and needs associated with conditions such as developmental language disorder, autism, and cerebral palsy.
  3. Visitor donations mean we can continue to provide resources to support the work of speech and language therapists, teachers, teaching assistants, parents, and carers.

It costs £5,000 a year to cover Commtap's basic day-to-day running costs. We have £1,000 left.

Right now, less than 1% of Commtap's visitors pay anything towards the running of the site.

We know that not everyone is able to afford to pay to access these resources, however, if you can, please make a minimum donation of £10 to keep the site going.

Thank you

Credit Card Badges

Google ads on this page are provided by Google Adsense - and their presence does not imply any endorsement by Commtap. Report a problem with an ad on this page. Log in (for free) to avoid seeing Google ads.