make to similarity identify of use the properties of compare and classify identify properties of (including trigonometric symmetry in 2-D shapes rectangles to deduce geometric shapes the faces, surfaces, ratios) and scale factors presented in different related facts and find based on their edges and vertices of: know the exact values of orientations missing lengths and properties and sizes cubes, cuboids, prisms, sinθ and cosθ for = 0°, angles and find unknown cylinders, pyramids, θ complete a simple 30°, 45°, 60° and 90°; angles in any triangles, cones and spheres distinguish between symmetric figure with know the exact value of quadrilaterals, and respect to a specific line regular and irregular derive and the tanθ for = 0°, 30°, 45° regular polygons θ of symmetry polygons based on properties and and 60° reasoning about equal illustrate and name definitions of: special know the trigonometric compare and classify sides and angles parts of circles, types of quadrilaterals, ratios, sinθ = geometric shapes, including radius, including square, opposite/hypotenuse, cosθ including quadrilaterals diameter and rectangle, = adjacent/hypotenuse, and triangles, based on circumference and parallelogram, tanθ = opposite/adjacent their properties and know that the trapezium, kite and apply it to find angles and sizes diameter is twice the rhombus; and triangles lengths in right-angled radius and other plane figures triangles in two using appropriate dimensional figures language Calculating: Addition and Subtraction Stage 4d Stage 5c Stage 6 7 Stage 8 Stage 9 10 find 1000 more or less add and subtract than a number numbers mentally with increasingly large add and subtract numbers numbers with up to 4 digits using the formal add and subtract whole written methods of numbers with more than columnar addition and 4 digits, including using subtraction where formal written methods appropriate (columnar addition and subtraction) solve addition and subtraction two-step solve addition and problems in contexts, subtraction multi-step deciding which problems in contexts, operations and methods deciding which to use and why operations and methods to use and why Calculating: Multiplying and Dividing 4e Stage 5d 6c Stage 7 Stage 8 Stage 9 Stage 10 recall multiplication and multiply and divide divide numbers up division facts for numbers mentally to 4 digits by a whole
identify of symmetry in 2-D shapes presented in different orientations complete a simple symmetric figure with respect to a specific line of symmetry compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes use the properties of rectangles to deduce related facts and find missing lengths and angles distinguish between regular and irregular polygons based on reasoning about equal sides and angles compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres derive and the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language make to similarity (including trigonometric ratios) and scale factors know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tanθ for θ = 0°, 30°, 45° and 60° know the trigonometric ratios, sinθ = opposite/hypotenuse, cosθ = adjacent/hypotenuse, tanθ = opposite/adjacent apply it to find angles and lengths in right-angled triangles in two dimensional figures Calculating: Addition and Subtraction Stage 4d Stage 5c Stage 6 7 Stage 8 Stage 9 10 find 1000 more or less than a number add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why add and subtract numbers mentally with increasingly large numbers add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why Calculating: Multiplying and Dividing 4e Stage 5d 6c Stage 7 Stage 8 Stage 9 Stage 10 recall multiplication and division facts for multiply and divide numbers mentally divide numbers up to 4 digits by a whole
Year-9-Curriculum-Guide-MASTER1.docx