Geometry & Measures
Outcomes
-
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)
Examples
-
Calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes
Examples
-
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
Examples
-
Use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles
Examples
-
Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies
Examples
-
Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures
Examples
-
Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
Examples
-
Understand and use the relationship between parallel lines and alternate and corresponding angles
Examples
-
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
Examples
-
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
Examples
-
Use Pythagoras' Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
Examples
-
Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D
Examples
-
Interpret mathematical relationships both algebraically and geometrically
Examples