| Title (Assessment) | Summary of content | Calculator required | Printable Answer sheet |
|---|---|---|---|
| Angles in Polygons Assessment | - Angles in triangles and quadrilaterals |  | |
| Know the properties of scalene, isosceles, equilateral and right-angled triangles | - Know the properties of scalene, isosceles, equilateral and right-angled triangles | | |
| Know the different types of angles | - Know the different types of Angles, acute, obtuse, reflex, right angle | | |
| Angles on intersecting and parallel lines Assessment | - Angle properties of intersecting lines, and vertically opposite angles are equal - Corresponding and Alternate angles in parallel lines - Calculate angles and give reasons - Understand proofs relating to angles involving triangles | | |
| Angles around a point and on a straight line Assessment | - Angles round a point add up to 360° - Angles on a straight line add up to 180° | | |
| Interior & exterior angles of polygons Assessment | - Calculate the sum of interior angles in a polygon - Understand the polygon names; hexagon, heptagon, octagon and decagon - Use the angle sum of an irregular polygon in a problem - Calculate and use the sum of the interior angles of a regular polygon - Understand and use fact that the exterior angles of a polygon add up to 360° - Understand and use fact that the exterior angles of a polygon add up to 360° - Be able to calculate the interior/exterior angle of a regular polygon - Be able to deduce the number of sides of a regular polygon, given one of its angles - Understand tessellations of regular and irregular polygons, Tessellate combinations of polygons | | |
| Reflection in 2D shapes Assessment | - Recognise reflection symmetry and be able to draw lines of symmetry on a shape - Complete a diagram given the line or lines of symmetry - State a line of symmetry on a grid as a simple algebraic equation, eg. x = 2 or y = x | | |
| Rotation & Rotational Symmetry Assessment | - Recognise rotation symmetry of 2D shapes - Identify the order of rotational symmetry of a shape - Complete diagrams with a given order of rotational symmetry - Understand that a rotation is defined by an angle, direction and a centre of rotation - Rotate a 2D shape around the origin or other point - Find the centre of rotation - Understand that a rotation produces a shape congruent to the original | | |
| Congruence and Similarity Assessment | - Understand that angles in similar shapes are the same - Prove the congruence of triangles using SSS, SAS, ASA and RHS and formal argument - Understand SSS, SAS, ASA and RHS in ruler and compass constructions - Understand SSS, SAS, ASA and RHS in ruler and compass constructions - Understand similarity of triangles and other 2D shapes - Understand similarity of triangles and other 2D shapes - Use understanding of similar figures in problems - Prove formally that two triangles are similar | | |
| Pythagoras' theorem Assessment | - Understand and use Pythagoras' theorem in triangles |  | |
| Pythagoras & Trigonometry in 3D Assessment | - Understand and use Pythagoras' theorem in 3D problems - Use Pythagoras' theorem to calculate the length of a diagonal of a cuboid - Use trigonometry in 3D problems | | |
| Trigonometry - Angle of elevation / depression Assessment | - Find angle of elevation and angle of depression | | |
| Trigonometry Assessment | - Understand and remember trigonometric relationships in right angled triangles - Use trigonometry in 2D problems - Use trigonometry to find the angle between a line and a plane | | |
| Trigonometry - Exact Values Assessment | - To find exact values of triangles with, 30, 45 and 60 degree angles using trig ratios | | |
| Sine & Cosine Rule (inc Area of Triangles) Assessment | - Use the sine and cosine rule to solve 2D and 3D problems - Calculate the area of a triangle using the formulae, A = ½abSinC | | |
| Parts of a circle Assessment | - Understand and remember parts of a circle - Draw a circle with compasses, given either the diameter or radius | | |
| Circle theorem Assessment | Prove and use each of the circle theorems: - Tangent is perpendicular to the radius at the point the tangent meets the circle - Angle subtended from an arc at the centre is twice the angle at the circumference - Angle in a semicircle is a right angle, Angles in the same segment are equal - Opposite angles of a cyclic quadrilateral add up to 180° - Alternate segment theorem - Perpendicular from the centre to a chord bisects the chord | | |
| Nets Assessment | - Draw nets and show how they fold to make a 3D solid shape - Use isometric grids - Understand and draw front and side elevations and plans of simple solids - Draw a sketch of a 3D solid shape given the front and side elevations and plan of the solid | | |
| Transformations - Translations Assessment | - Understand that translations are defined by a distance and a direction using vector notation - Understand and use translations - Translate a shape by a given vector - Understand that a translation produces a shape congruent to the original | | |
| Transformations - Enlargement Assessment | - Understand that angles remain the same in an enlargement - Understand that an enlargement is defined by a centre of enlargement and a scale factor - Enlarge a shape using (0, 0) or any other point as the centre - Enlarge a shape by a positive, fractionl and negative scale factor - Find the centre of a given enlargement - Identify the scale factor of a given enlargement | | |
| Transformations Assessment - Easy | A question on each of the below: - Rotaton - Reflection - Translation - Enlargement | | |
| Transformations Assessment - Medium | A question on each of the below: - Rotaton - Reflection - Translation - Enlargement | | |
| Transformations Assessment - Hard | A question on each of the below: - Rotaton - Reflection - Translation - Enlargement | | |
| Straight edge and compass constructions Assessment | - Construct a perpendicular bisector of a line - Construct a given triangle - Construct a perpendicular from a point to/from a line - Bisect an angle - Construct angles of 60°, 90°, 30° and 45° - Construct parallel lines - Draw circles and arcs of a given radius - Construct a regular hexagon inside a circle - Construct a regular hexagon inside a circle | | |
| Loci Assessment | - Construct a loci of a given distance from a point and a given distance from a line - Construct a region bounded by a circle and an intersecting line - Construct a loci of equal distances from two points or two lines - Identify regions defined by 'nearer to' or 'greater than' - Find or describe regions satisfying a combination of loci | | |
| Area and Perimeter by Counting Assessment | - Find the perimeter and area of shapes by counting | | |
| Perimeter and Area of Rectangles Assessment | - Find the perimeter of a rectangle - Use a formula to find the area of a rectangle - Calculate the perimeter and area of compound shapes made from rectangles and other shapes | | |
| Area of Parallelograms/Trapeziums Assessment | - Use a formula to find the area of a parallelogram and trapezium - Calculate the area of compound shapes made from triangles, rectangles and other shapes | | |
| Area of Triangles Assessment | - Find the perimeter of a triangle - Measure shapes to find perimeter or area - Use a formula to find the area of a triangle - Calculate the perimeter and area of compound shapes made from triangles, rectangles and other shapes | | |
| Surface Area Assessment | - Find the surface area of shapes such as prisms, pyramids or cylinders by using the formulae for triangles, rectangles and other shapes | | |
| Circumference and area of a circle Assessment | - Find the area of a circle using A = πr² - Find circumference of a circle using C = πd or C = 2πr - Use π = 3.142 or the π button on a calculator - Find the perimeter and area of semicircles and quarter circles - Give answers in terms of π if required | | |
| Arc Lengths and Area of Sectors & Segments of circles Assessment | - Find the perimeter and area of semicircles and quarter circles - Calculate the length of an arc - Calculate the area of a sector - Find the area of a segment of a circle given the radius and length of the chord | | |
| Volume and Surface Area of Complex Shapes Assessment | - Find the volumes and surface area of cones, pyramids, spheres and hemispheres, frustrums and compound shapes involving these | | |
| Volume of Prisms Assessment | - Use the formula to calculate the volume of a cuboid - Calculate volume of a prism, such as cuboids, triangular prisms and cylinders | | |
| Vectors Assessment | - Add or subtract two vectors - Multiply a vector by a number - Calculate the result of two vectors - Use vectors in geometrical proofs | | |
| Map and Scale Drawing Assessment | - Use, interpret and construct maps and scale drawings - Draw lines and shapes to scale - Estimate lengths using a scale diagram | | |
| Conversion Graphs Assessment | - Know conversion factors between different metric units - Convert between metric units, measurements of area, volume and speed | | |
| Units of Measurements Assessment | - Make estimates of measurements - Choose appropriate units for estimates of measurements - Read and interpret scales on measuring equipment | | |
| Bearings Assessment | - Use 3 figure bearings to specify direction - Mark a point on a diagram, given a bearing and distance from another point - Measure or draw a bearing on a map or scale plan - Given a bearing of one point from another, find the bearing of the first point from the second | | |
| Compound Measures Assessment | - Understand and use compound measures, including speed and density | | |
| Measure & Draw Lines and Angles Assessment | - Measure and draw straight lines to the nearest mm & Measure and draw Angles to the nearest degree | | |
| Elevations and Isometric Drawings Assessment | - Measure and draw plans, elevations of 3D shapes, and use isometric grids to represent 3D shapes | | |
| Converting Units Assessment | - Converting between units | |
