Monday Lesson:
Pythagoras and Trigonometry Problems
Tuesday Lesson:
Angles of Elevation and Depression
10CMR Lessons & Blog
Week 11 - 18 July
Work Experience Week
Week 04 - 10 July
Monday Lesson:
Review Exam Paper 2
Proof of Pythagoras Theorem
Tuesday Lesson:
Pythagoras Theorem
Video Lesson Pythagoras Theorem (13:04)
Wednesday Lesson:
Intro to Basic Trigonometry
Video Lesson Basic Trigonometry (19:27)
Friday Lesson:
Basic Trigonometry - Exercise 6K
Week 27 Jun - 03 Jul
Exams Week
Week 20 - 26 June
Monday Lesson:
Revision 9
Probability Trees - Polygons
Tuesday Lesson:
Revision 10
Ratio
Wednesday Lesson:
Revision 11
Year 10 Science exam
Friday Lesson:
Revision 12
Pie Charts - Multipliers
Week 13 - 19 June
Monday Lesson:
Revision 5
Cylinders - Cones - Spheres. Lesson Notes
Speed - Density - Pressure. Lesson Notes
Tuesday Lesson:
Revision 6
Speed - Density Exercises. Lesson Notes
Error Intervals. Lesson Notes
Wednesday Lesson:
Revision 7
Upper and Lower Bounds. Lesson Notes
Indices. Lesson Notes
Friday Lesson:
Revision 8
Parallel Lines. Lesson Notes
Proof. Lesson Notes
Algebraic Fractions. Lesson Notes
Week 06 - 12 June
Monday Lesson:
Revision 1
HCF - Mixed Number Arithmetic - Expanding Triple Brackets - Counting Number of Ways
Tuesday Lesson:
Revision 2
Standard Form - Changing Subject of Formula - Factorising Quadratic Expressions
Wednesday Lesson:
Revision 3
Surds - Completing the Square
Friday Lesson:
Revision 4
Factorising Quadratic Expressions
Venn Diagrams
Week 23 - 29 May
Monday Lesson:
Counting Strategies
Transformations - Translations
Tuesday Lesson:
Reflections
Wednesday Lesson:
Rotations
Enlargements - Spiders' Webs
Thursday Lesson:
Enlargements
Week 16 - 22 May
Monday Lesson:
Box Plots - Stem Leaf - Sample Spaces
Box Plots - Stem Leaf - Sample Spaces Questions
Box Plots - Stem Leaf - Sample Spaces Solutions
Tuesday Lesson:
Histograms
Wednesday Lesson:
Cumulative Frequency
Cumulative Frequency Questions
Cumulative Frequency Solutions
Friday Lesson:
Scattergraphs
Week 09 - 15 May
Monday Lesson:
Stem Leaf Diagrams
Tuesday Lesson:
Boxplots
Wednesday Lesson:
Cumulative Frequency Graphs
Frequency Polygons
Friday Lesson:
Pictograms
Histograms
Week 02 - 08 May
Tuesday Lesson:
Probability Trees
Also see homework lesson opposite
Wednesday Lesson:
Two - Way Tables
Friday Lesson:
Mean Median Mode Range
Quartiles For Small Samples
Week 25 Apr - 01 May
Monday Lesson:
Frustums and Review of Surface Area / Volume
Tuesday Lesson:
Basic Probability
Wednesday Lesson:
Independent Events and Sample Spaces
Friday Lesson:
Venn Diagrams
Week 04 - 10 April
Monday Lesson:
Circles - Sectors
Tuesday Lesson:
Cones and Spheres
Wednesday Lesson:
Cones and Compound Shapes
Friday Lesson:
Cones and Frustums
Week 28 Mar - 03 Apr
Monday Lesson:
Assessment 3
Tuesday Lesson:
Review of Assessment 3
Wednesday Lesson:
The Circle - Area and Circumference
Friday Lesson:
Circles Continued
Exchange Rates
Week 21 - 27 March
Monday & Tuesday Lessons:
Cover Lessons - Fractions and Percentages
Wednesday Lesson:
Percentages Revision
Friday Lesson:
Proportion and Ratio Revision
Week 14 - 20 March
Monday Lesson:
Pythagoras Theorem Introduction
Video Lesson (13 Min)
Tuesday Lesson:
Volume and Surface Area 2
Wednesday Lesson:
Volume and Surface Area 3
Friday Lesson:
Finding Volumes of Models
Week 07 - 13 March
Monday Lesson:
More Algebraic Fractions
Tuesday Lesson:
Algebraic Fractions Finale
Wednesday Lesson:
Area And Perimeter of Compound Shapes
Homework - Complete and self mark from the solutions provided
Friday Lesson:
Volume and Surface Area of a Prism
Week 28 Feb - 06 Mar
Monday Lesson:
Algebraic Fractions Intro
Tuesday Lesson:
Algebraic Fractions 2
Wednesday lesson:
Algebraic Fractions 3
Friday Lesson:
Changing The Subject Review
Week 14 - 20 February
Monday Lesson:
Estimating Solutions to Equations From Graphs
Tuesday Lesson:
Estimating Solutions to Equations From Graphs 2
Algebraic Proof 1
Wednesday Lesson:
Algebraic Proof 2
Homework is Q18, Q20, Q22, Q24 to be found in the lesson notes and completed for Friday.
Friday Lesson:
Completing The Square Revisited
We studied Completing the Square last week and I included a video lesson with lesson notes, exercise and solutions as an optional extra. Since few of you did well on the homework on this topic we will use today's lesson to consolidate and learn to solve equations with this method. Please watch the video, print the lesson notes and complete the two associated exercises. Each time you complete a question mark it straight away from the solutions provided. Look to learn from your mistakes.
Video Lesson (31 Min)
Week 07 - 13 February
Monday Lesson:
Completing The Square
Tuesday Lesson:
Completing the Square 2
Video Lesson (31 Min)
Wednesday Lesson:
The Quadratic Formula
Video Lesson (16 Mins)
Friday Lesson:
Consolidation of Quadratics Work
Finish all questions for Monday 14 February.
Week 31 Jan - 6 Feb
Monday Lesson:
Solving Quadratic Equations
Factorising - Difference of Two Squares
Tuesday Lesson:
Rearranging Formulae
Video Lesson (23 Min)
Wednesday Lesson:
Plotting Quadratic Graphs
Friday Lesson:
Plotting Quadratic, Cubic and Hyperbolic Graphs
Week 24 - 30 January
Monday Lesson:
Proportion - Direct and Inverse
Tuesday Lesson:
Proportion Mixed Exercise
Wednesday Lesson:
Combining Ratios
Intro to Factorising Quadratics
Friday Lesson:
Quadratic Equations - Factorising
Two video lessons are available on this topic with lesson notes, exercises and solutions. The first covers the easier equations with a single x2 term and the second covers equations with a multiple x2 term as well as the difference of two squares factorisation which we will do next lesson.
Video Lesson 1 (20 Min)
Video Lesson 2 (29 Min)
Week 17 - 23 January
Monday Lesson:
Growth and Decay
Tuesday Lesson:
Growth and Decay 2
Wednesday Lesson:
Simple Ratio and Recipes
Video Lesson (18 min)
Friday Lesson:
Manipulating Ratios
Week 10 - 16 January
Monday Lesson:
Assessment 2 Revision 1
Fractions and Indices
Tuesday Lesson:
Assessment 2 Revision 2
Surds, Standard Form, Straight Line
Identifying Graphs of Straight Lines Revision
Identifying Graphs of Straight Lines Revision Solutions
Wednesday Lesson:
Assessment 2
Friday Lesson:
Multipliers
Week 03 - 09 January
Tuesday Lesson:
Percentages Exercise
Wednesday Lesson:
Percentages Problems
Friday Lesson:
Simple Interest
Compound Interest / Depreciation
Video Lesson (21 min)
Week 13 - 19 December
Monday Lesson:
Recurring Decimals - Fractions
Tuesday Lesson:
Basic Use of Percentages
Video Lesson (25 Min)
Wednesday Lesson:
Advanced Use of Percentages
Video Lesson (24 Min)
Week 06 - 12 December
Monday Lesson:
Review of Basic Fractions
Tuesday Lesson:
Addition and Subtraction of Mixed Numbers
Video Lesson (9 Min)
Wednesday Lesson:
Multiplication and Division of Mixed Numbers
Video Lesson (12 Min)
Finding Fractions of Quantities
Friday Lesson:
Introduction to Algebraic Proof
Rational and Irrational Numbers
Recurring Decimal to Fraction Exam Question (2:34)
Two Further Exam Questions and Solutions
Two Recurring Decimal to Fraction Exam Questions (4:58)
GCSE Grades Old and New
How do they compare?
| New Grades | Old Grades |
| 9 | A* |
| 9 | |
| 8 | |
| 8 | A |
| 7 | |
| 7 | |
| 6 | B |
| 6 | |
| 5 | |
| 5 | C |
| 4 | |
| 4 | |
| 3 | D |
| 3 | |
| 3 |
GCSE Higher Tier Grade Boundaries
Higher Tier Grade Boundaries (out of 240 possible marks):
| Sitting | Grade 9 | Grade 8 | Grade 7 | Grade 6 | Grade 5 | Grade 4 | Grade 3 |
| Jun 2017 | 190 | 157 | 124 | 96 | 68 | 41 | 27 |
| Nov 2017 | 189 | 150 | 112 | 85 | 58 | 32 | 19 |
| Jun 2018 | 202 | 170 | 139 | 109 | 79 | 50 | 35 |
| Nov 2018 | 194 | 159 | 125 | 95 | 66 | 37 | 22 |
| Jun 2019 | 198 | 167 | 137 | 108 | 80 | 52 | 38 |
| Nov 2019 | 197 | 165 | 133 | 103 | 73 | 43 | 28 |
| Nov 2020 | 189 | 157 | 126 | 96 | 66 | 37 | 22 |
| Average % | 81% | 67% | 53% | 41% | 29% | 17% | 11% |
These are the higher tier grade boundaries for all past sittings of the new Edexcel GCSE Maths. The first two sets of exams were not at all popular with students but the June 2018 exams were viewed as more reasonable. The grade boundaries were higher but students felt they had more opportunity to demonstrate their skills and knowledge. Grade boundaries for November exams are not as reliable as boundaries for June exams because there are far fewer students taking what essentially are re-sit exams.
All except the November 2020 exams were taken before the pandemic but give an indication of what you can expect both when completing past papers and when sitting your actual GCSE exams in May/June 2023.
Week 29 Nov - 05 Dec
Monday Lesson:
Recognising Straight Lines
Recognition of Lines Solutions
Equations of Parallel Lines
Tuesday Lesson:
Parallel and Perpendicular Lines
Wednesday Lesson:
Equation of Line Through 2 Given Points
Friday Lesson:
GCSE Foundation Paper 1 June 2017
Week 22 - 28 November
Monday Lesson:
Indices Test 2
Rationalising More Surds
Tuesday Lesson:
Surds Problems
Wednesday Lesson:
Indices Test 3
Indices Exam Questions And Use of Calculator
Homework for Friday. Please complete Q13 - Q22 inclusive in today's lesson notes.
Friday Lesson:
Intro to Straight Line
Week 15 - 21 November
Monday Lesson:
Surds 2
(part class due to Geography trip)
Tuesday Lesson:
Surds 3
(part class due to Geography trip)
Wednesday Lesson:
Surds - Expanding Brackets & Rationalising Denominators
Friday Lesson:
Recap of Surds and Indices
Quick Indices test on Monday
Week 08 - 14 November
Monday Lesson:
Assessment 1
Tuesday Lesson:
Review of HCF, LCM and Density
Wednesday Lesson:
Review of Forming and Solving Linear Equations
Homework on Forming and Solving Linear Equations
Homework to be handed in on Friday 12 November
Friday Lesson:
Introduction to Surds
Week 01 - 07 November
Monday Lesson:
Standard Form Problems
Finish even numbers in lesson notes for homework tonight.
Tuesday Lesson:
Compound Measures Revision
Below is the density worksheet from which you attempted several questions in class.
As part of your revision I suggest you try a few more questions - some of them require volume formulae you have not yet met but most are suitable now. The solutiions to the worksheet are also uploaded below.
Wednesday Lesson:
Bounds and Forming Equations Revision
Friday Lesson:
Speed, Time & Distance Revision
Week 18 - 24 October
Monday Lesson:
Indices Exercises
Tuesday Lesson:
Standard Form (Non-Calculator)
Wednesday Lesson:
Standard Form (Calculator)
Week 11 - 17 October
Monday Lesson:
Circle Theorem Problems
Tuesday Lesson:
More Circle Theorem Problems
Wednesday Lesson:
Rules of Indices
Video Lesson (25 Mins)
Video Lesson Exercise and Solutions
Friday Lesson:
Indices Exercises
Week 04 - 10 October
Monday Lesson:
Geometric Reasoning
Tuesday Lesson:
Geometric Reasoning 2
Lesson Notes and Homework Questions
Please complete questions 9 to 12 and hand in Friday 8 October
Wednesday Lesson:
Intro to Circle Theorems
Use the online software to deduce the properties of a circle and the circle theorems.
Record your findings on your student conjecture sheet.
Compare your findings with the Circle Theorems Summary.
Friday Lesson:
Proof of Circle Theorems
Week 27 Sep - 03 Oct
Monday Lesson:
Algebra Recap
Expanding, Factorising, Linear Equations
Tuesday Lesson:
Substitution & Linear Equations
Wednesday Lesson:
Angles and Polygons
Exterior Angles of Regular Polygons Fact Sheet
Friday Lesson:
Triangles, Quadrilaterals and Parallel Lines
Week 20 - 26 September
Monday Lesson:
Expanding Trinomials & Factorising
Lesson Recap (4:35):
Tuesday Lesson:
Linear Equations
Wednesday Lesson:
Linear Equation Word Problems
Week 13 - 19 September
Monday Lesson:
Speed , Density, Pressure
Tuesday Lesson:
Compound Measures 2
Wednesday Lesson:
Compound Measures 3
Friday Lesson:
Signed Numbers & Expanding Brackets
Week 06 - 12 September
Monday Lesson:
Prime Factorisation, HCF and LCM
Tuesday Lesson:
HCF, LCM, Rounding
Wednesday Lesson:
Rounding and Bounds
Friday Lesson:
Rounding and Bounds 2
Homework for Tuesday 14 September (also on right of web page)
10CMR GCSE Scheme of LEARNING
10CMR HOMEWORK & REVISION
Constructions Homework
Construction Video Clips
Construct a triangle with sides 7cm, 6cm, 5cm (1:24)
Construct the perpendicular bisector between 2 given points A and B (1:21)
Bisect a given angle ABC (1:14)
Construct a perpendicular line from a given point P to a given line AB (1:09)
Estimating The Mean Homework
Please watch the video lesson on Estimating The Mean (16 min)
Print off the lesson notes for your file then complete and self-mark the exercise using the solutions provided.
To be completed by Wednesday 11 May.
Probability Trees Homework
Please watch the video lesson on Probability Trees (24 min)
Print off the lesson notes for your file then complete and self-mark the exercise using the solutions provided.
To be completed by Tuesday 3 May.
Volume of Prisms Homework
Please complete in small homework books and hand in on Monday 21 March.
Changing The Subject Homework
Please complete the Changing The Subject handout and hand in on Monday 7 March.
Changing The Subject Homework Solutions
Extra help if you struggled with this homework:
Rearranging Formulae
Video Lesson (23 Min)
Algebraic Fractions Homework
Please complete these Algebraic Fractions in your small homework books and hand in on Friday 4 March.
Quadratic Equations Summary Homework
Please complete in your small homework books and hand in on Wednesday 16 February.
Percentages and Ratios Homework
Please complete this Percentages and Ratios Worksheet and hand in on Wednesday 9 February.
The write on worksheet will be handed out on Monday 7 February.
Solutions to Percentages and Ratios Homework
Quadratic Graphs Homework
Your homework for Friday is to explore Quadratic Graphs which is the second page of this worksheet. The first and third pages are optional but would enhance your understanding. The online animations to explore are accessed from the left hand link on this page.
It is awkward to use on a smartphone so use a computer or tablet if you have one.
Compound Interest Homework
Please complete in small exercise books and hand in Monday 17 January.
Compound Interest Homework Solutions
Assessment 2 Revision List
Rules of Indices 15
Mixed Number Arithmetic and Comparing Fractions 7
Standard Form 4
Straight Line Graphs - Plotting, Identifying Equation, Finding Parallel/Perpendicular Lines, Finding Gradients 12
Converting Recurring Decimal to Fraction 3
Surds - Expanding, Simplifying, Rationalising Denominators 9
Straight Lines Homework 2
Review of Straight Lines Homework 1 (5 Min)
If you were unhappy with finding the equations of straight lines in last week's homework, please watch the short video above.
Then complete three similar questions and hand in on Monday 13 December.
Straight Lines Homework 2 Solutions
Please also complete the graph plotting exam questions below:
A Taste of A-level Maths
A-Level students have to be able to prove that the square root of 2 is an irrational number. However, the proof is also accessible to GCSE students. The only idea with which you may not be familiar is that fractions with coprime integers have been cancelled down as far as possible.
The Square Root of 2 is Irrational (6 Min):
Straight Lines Homework
Please complete the following questions in your exercise book and hand in on Monday 6 December.
Extra Indices Homework
All students who scored less than 25/30 on Indices Test 3 or did not do Indices Test 3 please complete Indices Test 4 and hand in on Monday 29 November.
You may use your books and previous tests to help you.
Surds Homework
Please complete the 10 questions below and hand in on Friday 19 November.
Introduction to Surds
The following video lesson , lesson notes, exercise and solutions should supplement your classwork on Surds
Video Lesson (19 min)
New Developing Site For Exam Practice
Over the coming months I will be developing a new web site at chsmathsgcse.bravesites.com to provide you with practice on exam questions across the syllabus.
Revision List For Assessment 1
Here is a list of the topics on which you will be examined during a one hour test during our lesson on Monday 8 November.
Circle Theorems Homework
This is the homework you were given in a booklet and handed in on Wednesday 20 October.
Linear Equations Drill and Practice Homework
Please complete three races against the clock for:
SINGLE TERM IN X - TWO TERMS IN X - WITH BRACKETS
A six minute video lesson is available working through two examples of each type.
You can print off your marked solutions or photograph and email them to me by Sunday 17 October.
Algebra Drill and Practice Homework
Please complete three races against the clock for:
Double Bracket Expansions - do this one twice selecting first single x2 and then multiple x2
You can print off your marked solutions or photograph and email them to me by Wednesday.
Review of Linear Equations
Several of you have struggled with solving linear equations. Hopefully, you can consolidate your knowledge by watching the following two short video lessons and completing the associated exercises.
Linear Equations 1 (12 mins)
Linear Equations 2 (14 Mins)
Extra Algebra Homework
If you scored less than 17/25 on the algebra homework then please complete this similar exercise and hand in on Monday 4 October.
If you scored 17 or more the work is optional - but I will mark it if you do it!
Algebra Homework
Please complete and hand in on Wednesday 28 September:
Algebra Homework Video Solutions (10 min)
Linear Eqn Word Problems Homework
Complete the 4 questions and self mark using the solutions in the Wednesday 22 September lesson notes on this web page.
To be completed before next Monday's lesson.
Expand and Simplify Homework
Please complete these 5 questions and hand in Tuesday 21 September:
HCF LCM and Bounds Homework
Please complete the following questions and hand in on Tuesday 14 September.