GCSE Maths Scheme of Work (GCSE Fast-track higher tier) Teacher B SHAPE, SPACE & MEASURE
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1 GSE Maths Scheme of Work (GSE Fast-track higher tier) Teacher SHAPE, SPAE & MEASURE Week Grade Unit A M S Perimeter, Area and Volume Find the area of a triangle, parallelogram, kite and trapezium Find the area and perimeter of compound shapes alculate the circumference of a circle to an appropriate degree of accuracy alculate the area of a circle to an appropriate degree of accuracy Solve problems involving circles such as finding the perimeter of a semicircle Solve problems involving circles such as finding the area of a semicircle alculate volumes of triangular prisms, parallelogram-based prisms and cylinders Solve problems involving surface areas of prisms and cylinders onvert between measures of area onvert between measures of volume istinguish between formulae for perimeter, area and volume by considering dimensions
2 GSE Maths Scheme of Work (GSE Fast-track higher tier) Teacher SHAPE, SPAE & MEASURE Angles Solve problems using angle and symmetry properties of polygons and properties of intersecting and parallel lines alculate exterior and interior angles of a regular polygon Use Pythagoras theorem to find the hypotenuse of a right-angled triangle Use Pythagoras theorem to find any side of a right-angled triangle Use Pythagoras theorem to find the height of an isosceles triangle Use Pythagoras theorem in practical problems Use the angle properties of a circle Use the tangent / chord properties of a circle Find the distance between two points from their coordinates Properties of Shapes & Objects and onstruction raw a quadrilateral such as a kite or a parallelogram with given measurements Understand that the lengths of two sides & a non-included angle do not define a unique triangle
3 GSE Maths Scheme of Work (GSE Fast-track higher tier) Teacher SHAPE, SPAE & MEASURE onstruct and recognise the nets of 3- solids such as pyramids and triangular prisms raw plans and elevations of 3- solids Understand the idea of a locus lassify a quadrilateral by geometric properties Find the midpoint of a line segment Use and understand coordinates in three dimensions onstruct the perpendicular bisector of a line onstruct the perpendicular from a point to a line onstruct the perpendicular from a point on a line onstruct angles of 60 and 90 onstruct the bisector of an angle Match one side and one angle of congruent triangles, given some dimensions onstruct accurately loci, such as those of points equidistant from two fixed points Solve loci problems, such as identifying points less than 3 cm from a point P Match sides and angles of similar triangles, given some dimensions
4 GSE Maths Scheme of Work (GSE Fast-track higher tier) Teacher SHAPE, SPAE & MEASURE Speed, istance, Time alculate simple average speeds from distance time graphs Solve more difficult speed problems Understand and use compound measures such as speed and density alculate complex average speeds from distance time graphs Interpret velocity time graphs iscuss and interpret graphs modelling real situations Transformations Reflect shapes in lines such as x = 2 or y = 1 Rotate shapes about the origin escribe fully reflections and rotations about the origin Identify reflection symmetry in 3- solids Translate a shape using a description such as 4 units right and 3 units down Enlarge a shape by a positive scale factor from a given centre Reflect shapes in the lines y = x and y = x
5 GSE Maths Scheme of Work (GSE Fast-track higher tier) Teacher SHAPE, SPAE & MEASURE Rotate shapes about any point escribe fully reflections and rotations about any point Find the centre of a rotation and describe it fully ombine reflections and rotations Translate a shape by a vector such as 4 3 Transform shapes by a combination of translation, reflection and rotation ompare the area of an enlarged shape with the original shape Enlarge a shape by a positive whole number or fractional scale factor
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