Right-Angled Triangles Right-Angled Triangles Right-Angled Triangles Trigonometry and (Pythagoras) (Trigonometry) (Trigonometry) Pythagoras' Theorem § ◊ MA4-16MG applies MA5.1-10MG applies MA5.2-13MG applies MA5.3-15MG applies Pythagoras’ theorem to trigonometry, given trigonometry to solve Pythagoras’ theorem, calculate side lengths in diagrams, to solve problems, problems, including problems trigonometric relationships, right-angled triangles, and including problems involving involving bearings the sine rule, the cosine rule solves related problems angles of elevation and and the area rule to solve depression problems, including problems involving three dimensions EARLY STAGE 1 STAGE 2 STAGE 3 STAGE 1 Three-Dimensional Three-Dimensional Three-Dimensional Three-Dimensional Space Space Space Space MAe-14MG manipulates, MA1-14MG sorts, describes, MA2-14MG makes, MA3-14MG identifies sorts and represents three- represents and recognises compares, sketches and objects, objects and familiar three-dimensional names three-dimensional including prisms and describes them using objects, including cones, objects, including prisms, pyramids, on the basis of everyday language cubes, cylinders, spheres and pyramids, cylinders, cones their properties, and prisms and spheres, and describes visualises, sketches and their features constructs them given drawings of different views Two-Dimensional Space Two-Dimensional Two-Dimensional Two-Dimensional Space Space Space MAe-15MG manipulates, sorts and describes MA1-15MG manipulates, MA2-15MG manipulates, MA3-15MG manipulates, representations of sorts, represents, describes identifies and sketches two- classifies and draws two- shapes, and explores two- shapes, shapes, including circles, triangles, shapes, including special including equilateral, squares and rectangles, using including quadrilaterals, quadrilaterals, and describes isosceles and scalene everyday language pentagons, hexagons and their features triangles, and describes their octagons properties Angles Angles MA2-16MG identifies, MA3-16MG measures and describes, compares and constructs angles, and classifies angles applies angle relationships to find unknown angles Position Position Position Position
Right-Angled Triangles (Pythagoras) MA4-16MG applies Pythagoras’ theorem to calculate side lengths in right-angled triangles, and solves related problems Right-Angled Triangles (Trigonometry) MA5.1-10MG applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression Right-Angled Triangles (Trigonometry) ◊ MA5.2-13MG applies trigonometry to solve problems, including problems involving bearings Trigonometry and Pythagoras' Theorem § MA5.3-15MG applies Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions EARLY STAGE 1 STAGE 1 STAGE 2 STAGE 3 Three-Dimensional Space MAe-14MG manipulates, sorts and represents objects and describes them using everyday language Three-Dimensional Space MA1-14MG sorts, describes, represents and recognises familiar three-dimensional objects, including cones, cubes, cylinders, spheres and prisms Three-Dimensional Space MA2-14MG makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features Three-Dimensional Space MA3-14MG identifies objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views Two-Dimensional Space MAe-15MG manipulates, sorts and describes representations of shapes, including circles, triangles, squares and rectangles, using everyday language Two-Dimensional Space MA1-15MG manipulates, sorts, represents, describes and explores shapes, including quadrilaterals, pentagons, hexagons and octagons Two-Dimensional Space MA2-15MG manipulates, identifies and sketches shapes, including special quadrilaterals, and describes their features Two-Dimensional Space MA3-15MG manipulates, classifies and draws shapes, including equilateral, isosceles and scalene triangles, and describes their properties Angles MA2-16MG identifies, describes, compares and classifies angles Angles MA3-16MG measures and constructs angles, and applies angle relationships to find unknown angles Position Position Position Position two- two- two- three-