What you'll learn
Calculate the Volume and Surface Area of Cylinders, Spheres, Cones and Pyramids.
Limits of Accuracy
Similarity: Length, Area and Volume ratios
Pythagoras' Theorem
Trigonometry
Advanced Trigonometry (non right-angled triangles)
3D Pythagoras and Trigonometry
Circle Theorems
Vectors
Requirements
A good knowledge of GCSE / IGCSE Foundation and Grade 6 topics.
A notebook to attempt the questions and worksheets included and to take notes if necessary.
A scientific calculator - recommended Casio fx-83GT or fx-83GT.
Description
GCSE Maths Revision for Grades 7-9 Geometry Topics is for anyone studying GCSE or IGCSE Maths:Is your child studying for their GCSE Higher Tier qualification in Mathematics?Are they entered for the International GCSE Maths Higher Tier examination?Want them revise and master all geometry topics in preparation for your GCSE / IGCSE examinations this summer?Are you an adult resitting your GCSE in order to access higher education?Want to cover the concepts that will push their grade up to a 7, 8 or 9?This course covers all the number content in GCSE Maths.The course is suitable for all major exam boards, including Edexcel, OCR and AQA.The main sections of the course are:- Surface Area and Volume - we learn how to calculate the volume and surface area of cylinders, spheres, cones and pyramids.- Limits of Accuracy - we learn how to identify the limits of a value given to a degree of accuracy and how to solve problems using upper and lower bounds.- Similarity, Area and Volume - we learn to solve problems using length, area and volume ratios.- Pythagoras' Theorem - we learn to apply Pythagoras' formula to problems involving right-angled triangles.- Trigonometry - we learn to use sine, cosine and tangent to solve problems involving missing lengths and angles in right-angled triangles.- Advanced Trigonometry - we learn to use the sine rule and cosine rule and find the area of non right-angled triangles.- 3D Pythagoras and Trigonometry - we learn to apply Pythagoras' theorem and the trigonometric ratios in three dimensions.- Circle Theorems - we learn to use angle properties within a circle.- Vectors - we learn to apply vector methods for simple geometric proofs.What do you get in this course:Lesson Videos: Watch as I answer questions of every type of maths problem you can encounter in class. We start with the basics and maybe a recap of prior knowledge and gradually increase the difficulty of each problem so you build your confidence to attempt any question.'Test Your Understandings': After I have run through an example I give you the opportunity to assess your understanding by attempting one or two very similar questions. This way you learn by applying the knowledge immediately.Embedded Worksheets: In addition to the Test your Understanding questions, I have included exercises of questions within each video to give you even more practice at solving each type of problem.Extra Exam Examples: I've included a selection of recent exam questions to further discuss with you so that you become comfortable with the style of questioning and level of difficulty required.Additional Low Stakes Quiz: At the end of each section you can take a short multiple-choice quiz to test your overall understanding of the concepts discussed. These are a great indicators as to whether you completely understand a topic or if you need to revisit a lecture and to practice more questions in order to master a concept.Extra Exam Questions Booklet: Want even more practice? When you have finished a section you can review the entire topic by working through a selection of exam questions complete with answers.
Overview
Section 1: Getting Started
Lecture 1 Getting Started
Section 2: Surface Area and Volume
Lecture 2 Cylinders
Lecture 3 Spheres
Lecture 4 Pyramids
Lecture 5 Cones
Lecture 6 Working backwards
Lecture 7 Exam Examples
Lecture 8 Exam Questions
Section 3: Limits of Accuracy
Lecture 9 Upper and Lower Bounds
Lecture 10 Limits of Accuracy
Lecture 11 Exam Examples
Lecture 12 Exam Questions
Section 4: Similarity, Area and Volume
Lecture 13 Similarity
Lecture 14 Parallel Lines and Embedded Shapes
Lecture 15 Area and Volume
Lecture 16 Exam Examples
Lecture 17 Exam Questions
Section 5: Pythagoras' Theorem
Lecture 18 Introduction to Pythagoras' Theorem and Finding the Hypotenuse
Lecture 19 Finding the length of a short side
Lecture 20 Harder Pythagoras Problems
Lecture 21 Exam Examples
Lecture 22 Exam Questions
Section 6: Trigonometry (right-angled triangles)
Lecture 23 Finding a missing length
Lecture 24 Finding a missing angle
Lecture 25 Harder problems
Lecture 26 Exam Examples
Lecture 27 Exam Questions
Section 7: Advanced Trigonometry (non right-angled triangles)
Lecture 28 Sine Rule - Finding a missing length
Lecture 29 Sine Rule - Finding a missing angle
Lecture 30 Cosine Rule - Finding a missing length
Lecture 31 Cosine Rule - Finding a missing angle
Lecture 32 Area of a non-right-angled triangle
Lecture 33 Additional problems
Lecture 34 Exam Example
Lecture 35 Exam Questions
Section 8: 3D Pythagoras and Trigonometry
Lecture 36 3D Pythagoras and Trigonometry
Lecture 37 Exam Examples
Lecture 38 Exam Questions
Section 9: Circle Theorems
Lecture 39 Recap - Parts of a Circle
Lecture 40 Circle Theorems 1, 2 and 3
Lecture 41 Circle Theorems 4, 5 (and 6)
Lecture 42 Circle Theorems 7 and 8
Lecture 43 Harder Problems
Lecture 44 Algebraic Problems
Lecture 45 Exam Examples
Lecture 46 Exam Questions
Section 10: Vectors
Lecture 47 Representing Vectors
Lecture 48 Adding and Subtracting Vectors
Lecture 49 Finding the Magnitude of a Vector
Lecture 50 Geometric Problems Involving Vectors 1
Lecture 51 Geometric Problems Involving Vectors 2
Lecture 52 Vector Proof
Lecture 53 Exam Examples
Lecture 54 Exam Questions
Parents or guardians of children studying Maths at GCSE / IGCSE level,Parents looking for support home-schooling their children,Teachers looking to supplement their classes' learning,Anyone undertaking a GCSE / IGCSE and working towards attaining a grade 7, 8 or 9,Anyone looking to undertake an A-level / O-level in Mathematics,Anyone requiring a high grade in GCSE Maths in order to enter College or University


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