KS3 Level

Geometry

Projected KS4 Grades

7

I know the sum of exterior angles of regular polygons I can calculate and use the interior angles of regular polygons and nsided polygons I can use properties of lines, angles, and polygons. I can develop arguments to explain and justify the fact that the angle in a semicircle is a right angle. I am able to prove and use the fact that angles in the same segment are equal. I can use congruency to solve problems in triangles and quadrilaterals. I can use similarity to solve problems in 2D shapes. I can apply the properties of Pythagoras’ theorem to solving problems presented on a 2D coordinate grid.

I can use Pythagoras’ Theorem in similar triangles to solve problems involving rightangled triangles. I understand and use fluently the language and notation to describe rotations. I understand and apply the language of vector notation to describe translations. I am able to interpret and express points as position vectors. I understand the implications of enlargement for perimeter. Describe the change an enlargement will have on a shape. I can construct and reason enlargements of 2D shapes, with a positive fractional scale factor and a centre.

9

6

I can solve problems involving rates of change I can convert between compound measures, choosing units most suited to the solution. I am able to interpret and explore combining measures into rates of change in everyday contexts. I can use properties of 2D and 3D shapes to make accurate constructions. For example construct a regular hexagon inside a circle. I am able to find simple loci by reasoning to produce shapes and paths. I can describe or shade a region satisfying several conditions to solve a graphical or geometrical problem.

I am able to mark on a diagram the position of point B given its bearing from the point A. Use accurate drawing to solve bearings problems. I can use the formulae for the circumference and area of a circle, given the circumference or area, to calculate the radius or diameter. I can find the perimeters and areas of semi circles and quarter circles. I can calculate the surface area and volume of prisms. I can calculate volumes and surface areas of cuboids and shapes made from any prism I am able to recognise when it is possible to use formulae for area and volume of shapes

8

5

I understand and can use and apply alternate angles and corresponding angles on parallel lines to solve problems. I can explain how to find, calculate and use the sums of the interior and exterior angles of triangles and quadrilaterals. I can use the sum of angles in a triangle, to deduce the angle sum of any polygon. I can distinguish between regular and irregular polygons based on reasoning about sides, angles and symmetries. I can find the midpoint of the line segment AB, given the coordinates of points A and B and solve geometrical problems on a 2D coordinate axes. I can solve geometrical problems using properties of angles, triangles and circles and are able to justify arguments and solutions using deductive reasoning.

I can use geometric properties of cuboids and shapes made from cuboids to solve problems. I can describe and draw nets of more complex 3D shapes e.g. irregular polyhedra. I can draw simple 3D shapes on a 3D coordinate grid. I can identify and describe congruent shapes including on a coordinate axes by reference to sides and angles. I can identify and describe similar shapes including on a coordinate axes by reference to sides and angles. I know the formula for Pythagoras' theorem and can use it to find a missing side of a triangle. I can describe a reflection of a 2D shape on a coordinate grid using the line of reflection. I can draw a reflection of a 2D shape on a coordinate grid using a given line of reflection

7

4

I can use a method for finding the centre of rotation and select the most efficient/accurate method. I can visualise, explore, describe and construct on grids the rotation of a shape on a 2D coordinate axis. I can visualise, explore, describe and construct on a coordinate grid where a 2D shape will be after translation and describe the effect on the coordinates of a 2D shape after a translation I can construct and reason enlargements of 2D Shapes with a positive scale factor and a centre on coordinate grid

I understand and can use the language and notation to find and describe scale factor and centre of enlargement I understand how to transform 2D shapes by simple combinations of transformations I can solve problems involving measurements in a variety of contexts, convert between area measures and between volume measures I can write lengths, areas and volumes of two shapes as ratios in its simplest form. I can interpret and use compound measures, including from other subjects and real life and calculate average speed, distance and time in both metric and imperial measures.

6

3

I understand a proof that the angle sum of a triangle is 180°and use this to calculate missing angles. I can understand a proof that the angle sum of a quadrilateral is 360° and use this to calculate angles. I can understand a proof that the exterior angle of a triangle is equal to the sum of the two interior opposite angles. I can identify alternate angles and corresponding angles on parallel lines. I can solve geometrical problems using side and angle properties of triangles (including equilateral and isosceles) explaining and justifying reasoning with diagrams and text. I can use the properties of squares and rectangles to identify similar facts, find missing lengths and angles. I can solve geometrical problems using side and angle properties of quadrilaterals explaining and justifying reasoning with diagrams and text.

I can construct 2D shapes by plotting coordinates of points based on geometric information. I can draw circles and arcs from a given radius I can visualise and sketch simple 3D shapes from 2D I can use the language of vertices, faces and edges. I can recognise and draw; views, plans and elevations of simple 3D shapes. I can understand and know that if two 2D shapes are congruent, corresponding sides and angles are equal. I know and can use the criteria for congruence of triangles.I can identify congruent triangles.

5

2

I can prove that reflections preserve length and angle (congruency). • I can construct and reason a simple symmetric figure with respect to a specific rotational symmetry. I can construct a rotation around a given point on a grid. • I can prove that rotations preserve length and angle (congruency). • I can determine and describe a shape following a translation using the appropriate language. • I can identify and explain the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments.

I can construct and give reason for enlargements of 2D shapes, with a positive scale factor • I can recognise and explore the similarity of resultant shapes following an enlargement • I can explore combinations of transformations by construction, not necessarily on axis. • I can record estimates to a suitable degree of accuracy. • I understand the relationship between metric units and can convert between them. E.g. 1cm = 10mm I can solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

4

1

I can use straight edge and compasses to construct the bisector of an angle, midpoint and perpendicular bisector of a line segment and the perpendicular from a point on a line. • I can use a ruler and protractor to construct a triangle, given two sides and the included angleor two angles and the included side I can use and interpret maps and scale drawings • I understand and use the language associated with bearings and using bearings to specify direction. • I can give a bearing between the points on a map

I can recognise that shapes with the same areas can have different perimeters and vice versa. I can calculate the area of compound shapes made from rectangular shapes. I can derive and use formulae for the area of a triangle, parallelogram and trapezium. I can find the surface area of cubes and cuboids by counting squares of the net. I can find the volume of a cuboid by counting cubes. I can estimate volume and capacity I can calculate, estimate and compare volume of cubes and cuboids using standard units

3

WT+

I can draw and recognise parallel and perpendicular lines in grids and shapes I know and can identify the sum of angles on a straight line and a half turn (total 180o), a right angle (90o) and other multiples of 90o I know and can identify the sum of angles at a point and one whole turn (total 360o) I can recognise vertically opposite angles I can identify and draw all arrangements of nets of cubes and cuboids. I can identify the properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres. I can visualise and sketch 3D shapes I know, understand and can use the term 'congruent' I know that if two 2D shapes are congruent, corresponding sides and angles are equal. I can choose and use metric units of measurement to measure, estimate, calculate and solve problems in everyday contexts. I know the number of seconds in a minute, minute in an hour, hours in a day, days in each month, year and leap year

I understand and can identify rotational symmetry of triangles and quadrilaterals. I can tessellate combinations of polygons through understanding of angles. I can identify and sketch all quadrilaterals I can classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. I know the definition of a circle and identify all parts of a circle including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment. I can determine rotational symmetry in 2D shapes I understand what length, capacity, volume, mass and weight are. I understand how to convert one metric unit to another, including whole number and decimal conversions. Be able to convert larger metric units to smaller and vice versa. For example 3.25kg to 3250g and 4675m to 4.675km.

2

WT

1
