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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.  width=  width=    width=
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.  width=  width=    width=
Prove and use each of the circle theorems Proof of all the circle theorems    width=    
Recognise reflection and rotational symmetry To be able identify shapes' lines of symmetry and their order of rotational symmetry  width=  width=  width=
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.  width=  width=  width=
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.    width=  width=
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.    width=  width=
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  width=  width=  width=
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.  width=  width=  width=
Find the volumes of frustums To be able to calculate the volume of frustrums    width=  width=
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.  width=  width=    width=
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  width=  width=    width=
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)  width=  width=  width=
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  width=  width=  width=
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.  width=  width=    width=
Rotations To be able to rotate shapes given instruction, leading onto being able to identify and describe how shapes have been rotated  width=  width=    width=
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    width=    width=
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.    width=  width=
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    width=  width=
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  width=  width=  width=
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).  width=  width=  
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  width=  width=  width=
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    width=    width=
Circle Theorems - Part 1 Understand and apply 3 circle theorems - Angles at the centre, Cyclic Quadrilaterals and Angles in a Semi-circle, with questions.    width=    width=
Cirlce Theorems - Part 2 Understand and apply 3 circle theorems - Angles subtended by the same arc, Tangents and Altenate segment theorem, with questions.    width=    width=
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    width=  width=
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    width=  width=
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  width=  width=    
To be able to calculate / know exact trig ratios To be able to calculate the exact values of trigonometric ratios    width=    width=
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    width=  width=
Find angle of elevation and angle of depression To be able to calculate the angle of depression or elevation in real life scenarios    width=  
Use trigonometry to find the angle between 2 lines To use knowledge of trigonometric relationships to calculate missing angles in triangles.    width=  width=
Perimeter of Shapes To be able to find perimeter by counting, calculating distance with numbers, and moving onto perimeter of compound shapes  width=  width=  
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  width=  width=  width=
Angles in Triangles and Quadrilaterals To be able to find angles in triangles and quadrilaterals  width=  width=  width=
Area of Parallelograms To be able to use formula to find area of parallelograms and hence missing sides given it's area  width=  width=  
Area of Trapeziums To be able to use formula to find area of trapeziums and hence missing sides given it's area  width=  width=  
Area of Rectangles To be able to work out area of a rectangle by counting squares, followed by multiplying dimensions, leading onto compound shapes  width=  width=  
Pythagoras To use pythagoras to find hypoteneuse, leading onto any side, extending to using pythag to prove a triangle is right angled  width=  width=  width=
Area of Triangles To be able to work out area of a triangle using formula, leading to finding missing dimesions given it's area  width=  width=  
Missing Angles To be able to find missing angles in a right angle, on a straight line or around a point  width=  width=  
Parallel and Perpendicular Lines To identify if lines are parallel or perpendicular  width=  width=  
Types of Angles To be able to identify different types of angles from drawings, and from given angles in degrees  width=  width=  
Types of Triangles To be able to classify different types of triangles based on information given  width=  width=  
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