**GEOMETRY LESSONS - CONTENT LIST**

**Please note: **This list of for viewing purposes only, showing list of lessons that are available on the website - each of the links once registered will link to suitable lesson as described. The right hand column will also link to worksheets which accompany the given lessons to be delivered to help you plan required resources.

Title | Description/Objectives | GCSE papers requiring relevant topic | Calculator required | Lesson requires printed documents | |

Use isometric grids & understand and draw nets and elevations | Be able to drawing and identify nets, followed by being able to draw 3D shapes on isometric paper. The being able to draw different elevations of shapes. | ||||

Understand and use translations, using vectors and describing translations | Be able to translate shapes from given words, then by using vector notation, ending in being able to describe translations using vector notation. | ||||

Prove and use each of the circle theorems | Proof of all the circle theorems | ||||

Recognise reflection and rotational symmetry | To be able identify shapes' lines of symmetry and their order of rotational symmetry | ||||

Calculate the length of an arc and area of a sector | To be able to calculate arc lengths of a circle, area of sectors and leading onto area of segments. | ||||

Understand and use Pythagoras’ theorem and Trigonometry in 3D problems | To be able to calculate missing lengths using pythagoras' in 3D, followed by calculating missing angles / sides using trigonometry in 3D….extending to using Sine/Cosine Rules in 3D scenarios. | ||||

Find the volume and surface area of cones | To be able to calculate the surface area of a cone, leading onto using pythagoras, and then to be able to calculate the volume of a cone - extending to missing sides given the volume. | ||||

Find the surface area of shapes of cubes and cuboids by using the formulae for rectangles | To be able to calculate the surface area of a cube, leading onto surface area of a cuboid / rectangular prism | ||||

Find the volume and surface area of pyramids | To be able to calculate the surface area of a pyramid, leading onto using pythagoras, and then to be able to calculate the volume of a pyramid - extending to missing sides given the volume. | ||||

Find the volumes of frustums | To be able to calculate the volume of frustrums | ||||

Enlarge a shape by a negative scale factor and describing enlargements | To be able to enlarge shapes given a negative scale factor leading onto being able to describe enlargements. | ||||

Enlargements | To be able to enlarge shapes given a scale factor and centre of enlargement, leading onto finding the centre of enlargement from already enlarged shapes | ||||

Find the volumes of Prisms and Cylinders | To be able to find the volume of prisms and cylinders, leading onto missing sides given the volume, extending to shapes with missing sections (working out two volumes to subtract one from another) | ||||

Find the surface Area of Prisms and Cylinders | To be able to find the surface area of prisms and cylinders, leading onto missing sides given the surface area | ||||

Understand and describe reflections | To be able to reflect shapes using a mirror lines, leading onto being able to reflect lines in a linear equation and finishing with describing a transformation ( reflection ) given a first shape and it's reflection. | ||||

Rotations | To be able to rotate shapes given instruction, leading onto being able to identify and describe how shapes have been rotated | ||||

Undestand how to solve problems using vectors | To be able to solve problems with vectors by adding subtracting and multiplying - and also being able to find midpoints using vectors | ||||

Find the surface area and volume of spheres and hemispheres | To be able to surface area and volume of spheres and hemispheres extending to missing lengths given surface area/volume. | ||||

Calculate the area of a triangle using the formulae, A = ½ ab sinC | To be able to the area of a triangle using the formulae….A = ½ ab sinC, leading onto using cosine rule prior to find missing values | ||||

Use the formula to calculate the volume of a cuboid | To be able to use number of cubes to calculate the volume of a cuboid, leading onto using a formula to calculate the volume of a cuboid | ||||

Calculate the sum of interior angles in a polygon and external angles add up to 360 degrees, and how shapes tessellate | To calculate sum of internal angles of regular shapes, leading onto shapes with more sides, followed by size of interior and exterior angles - finishing with why and when shapes tessellate (tessellations). | ||||

Knowledge of circles - know the parts, and how to calculate circumference and area: | To know the parts of a circle, followed by circumferene of circle and the area of a circle questions, extending to portions of circles | ||||

Undestand vector notation, and be able to add, subtract and mulitply vectors | To understand vectors and be able to add, subtract and multiply vectors by constants | ||||

Circle Theorems - Part 1 | Understand and apply 3 circle theorems - Angles at the centre, Cyclic Quadrilaterals and Angles in a Semi-circle, with questions. | ||||

Cirlce Theorems - Part 2 | Understand and apply 3 circle theorems - Angles subtended by the same arc, Tangents and Altenate segment theorem, with questions. | ||||

Use the cosine rule to solve 2D problems | Use the Cosine Rule to calculate missing sides followed by using Cosine Rule to calculate missing angles | ||||

Use the sine rule to solve 2D problems | Use the Sine Rule to calculate missing sides followed by using Sine Rule to calculate missing angles | ||||

Be able to deduce the number of sides of a regular polygon, given one of its angles | To be able to work out and use interior / exterior angles of polygons. Followed by being able to find the number of sides of a polygon given it's internal/external angle | ||||

To be able to calculate / know exact trig ratios | To be able to calculate the exact values of trigonometric ratios | ||||

Understand trigonometric relationships in right angled triangles and use it to find missing sides in 2D problems | To understand trigonometric relationships in right angled triangles and use them to calcaulte missing sides in 2D problems | ||||

Find angle of elevation and angle of depression | To be able to calculate the angle of depression or elevation in real life scenarios | ||||

Use trigonometry to find the angle between 2 lines | To use knowledge of trigonometric relationships to calculate missing angles in triangles. | ||||

Perimeter of Shapes | To be able to find perimeter by counting, calculating distance with numbers, and moving onto perimeter of compound shapes | ||||

Volume and Surface Area of Compound Shapes | To be able to find the volume and surface area of 3d compound shapes, from cuboids up to cones and frustrum combinations | ||||

Angles in Triangles and Quadrilaterals | To be able to find angles in triangles and quadrilaterals | ||||

Area of Parallelograms | To be able to use formula to find area of parallelograms and hence missing sides given it's area | ||||

Area of Trapeziums | To be able to use formula to find area of trapeziums and hence missing sides given it's area | ||||

Area of Rectangles | To be able to work out area of a rectangle by counting squares, followed by multiplying dimensions, leading onto compound shapes | ||||

Pythagoras | To use pythagoras to find hypoteneuse, leading onto any side, extending to using pythag to prove a triangle is right angled | ||||

Area of Triangles | To be able to work out area of a triangle using formula, leading to finding missing dimesions given it's area | ||||

Missing Angles | To be able to find missing angles in a right angle, on a straight line or around a point | ||||

Parallel and Perpendicular Lines | To identify if lines are parallel or perpendicular | ||||

Types of Angles | To be able to identify different types of angles from drawings, and from given angles in degrees | ||||

Types of Triangles | To be able to classify different types of triangles based on information given |