## L65M Lessons & Blog

### Week 03 - 09 July

Tuesday Lesson:

Trig Exercises 6C & 6D

Lesson Notes

### Week 27 Jun - 02 Jul

Wednesday Lesson:

Intro to Trigonometry

Lesson Notes

Friday Lesson:

Trigonometry Exercises 6B & 6C

Lesson Notes

Tuesday Lesson:

Lesson Notes

### Week 13 - 19 June

Tuesday Lesson:

Lesson Notes

Wednesday Lesson:

Trigonometric Equations

Lesson Notes

Friday Lesson:

Small Angles

Lesson Notes

Tuesday Lesson:

Lesson Notes

### Week 23 - 29 May

Tuesday Lesson:

Chain Rule

Lesson Notes

Wednesday Lesson:

Product and Quotient Rules

Lesson Notes

Friday Lesson:

Use of Product, Quotient and Chain Rules

Lesson Notes

### Week 16 - 22 May

Tuesday Lesson:

Correlation and Regression Lines

Lesson Notes

Homework:

Complete and self mark the Statistics part of the Applied paper in the A-level/AS Revision Section.

Complete the EOC paper I have emailed to you and hand in Tuesday 24 May.

### Week 09 - 15 May

Tuesday Lesson:

AS and A-level Binomial Exam Questions

Lesson Notes

Wednesday Lesson:

Binomial Consolidation

No Lesson Notes

Friday Lesson:

Binomial Exam Questions - Hypothesis Testing

Lesson Notes Reviewing Homework

New Homework

### Week 02 - 08 May

Tuesday Lesson:

Critical Regions

Lesson Notes

You may have to enable macros in the following Excel Spreadsheet but it will help you understand Hypothesis Testing using the Binomial Distribution.

### Classwiz Calculator - Binomial Distribution

Two short video clips to teach you how to use the Binomial Distribution functions on your calculator:

Binomial Distribution 1 (2:08)

Binomial Distribution 2 (4:45)

### Week 25 Apr - 01 May

Tuesday Lesson:

Probability Distributions

Lesson Notes

Wednesday Lesson:

Binomial Distribution

Lesson Notes

Friday Lesson:

Hypothesis Testing

Lesson Notes

### Week 04 - 10 April

Tuesday Lesson:

Calculus Revision

Lesson Notes

### Week 28 Mar - 03 Apr

Tuesday Lesson:

Circles

Lesson Notes Missing

Wednesday Lesson:

Binomial Expansion Review

Lesson Notes

Friday Lesson:

Logs & Exponentials Review

Lesson Notes

### Week 21 - 27 March

Tuesday Lesson:

Cover Work - Mixed Exercise 2

Mixed Exercise 2 Solutions

### Week 14 - 20 March

Tuesday Lesson:

Estimating the Median for Grouped Data

Lesson Notes

Wednesday Lesson:

Interpercentile Range

Lesson Notes

Friday Lesson:

Coding of Data

Lesson Notes

Tuesday Lesson:

Outliers

Lesson Notes

### The Large Data Set

Weather Data from 5 UK and 3 Overseas weather stations for May-Oct 1987 and May-Oct 2015.

Locations of Weather Stations

### Using Excel Statistical Functions

Excel Statistical Functions (6:25):

### Setting Your Calculator For Statistical Calculations

Statistical Calculations on the fx-991EX CLASSWIZ Calculator

### Week 28 Feb - 06 Mar

Tuesday Lesson:

Populations and Samples

Lesson Notes

Wednesday Lesson:

Median and IQR

Lesson Notes

Friday Lesson:

Mean and Standard Deviation

Lesson Notes

Estimating the Mean for Grouped Data

Video Lesson (16 Min)

Video Lesson Notes

Exercise and Solutions

### Week 14 - 20 February

Tuesday Lesson:

MEI Questions on Probability Trees

Lesson Notes and Homework

Homework - Complete the other 4 questions in the classwork

Homework Solutions

### Week 07 - 13 February

Tuesday Lesson:

Conditional Probability - Venn Diagrams

Lesson Notes

MEI Venn Diagram Questions

MEI Venn Diagram Solutions

Wednesday Lesson:

Probability From Tables

Lesson Notes

Homework is to complete the rest of the questions from last week's worksheet

Homework Solutions

Friday Lesson:

Intro to Probability Trees

Lesson Notes and Homework

### Week 31 Jan - 06 Feb

Tuesday Lesson:

Intro to Probability

Lesson Notes

Homework - do Q2, Q3, Q5, Q6 and Q13 from this worksheet

Homework Solutions

### Week 24 - 30 January

Tuesday Lesson:

Vectors 3

Magnitude - Direction - Unit - Position

Lesson Notes

Wednesday Lesson:

Angle Between Vectors

Lesson Notes and Homework

Friday Lesson:

Vectors Mixed Exercise 11

Lesson Notes

Mixed Exercise 11 Full Solutions

### Week 17 - 23 January

Tuesday Lesson:

Vectors 2

Parallel Vectors

Lesson Notes

GCSE Vector Problems (Homework)

All Vectors Questions Q1 - Q10

### Week 10 - 16 January

Tuesday Lesson:

Integration - Mixed Exercise 13

Lesson Notes

Wednesday Lesson:

Integration - Mixed Exercise 13

Mixed Exercise 13 Solutions

Friday Lesson:

Intro to Vectors

Lesson Notes and Homework

### Week 03 - 09 January

Tuesday Lesson:

Area Between Lines and Curves - Exercise 13G

Lesson Notes and Homework

### Week 13 - 19 December

Tuesday Lesson:

End of Term Assessment

Wednesday Lesson:

Review of Assessment

### Week 06 - 12 December

Tuesday Lesson:

Area Under Curve And Between Curves

Lesson Notes

 Sitting Max A* A B C D E A-Level Maths Jun 2018 9MA0 300 229 184 155 126 98 70 A-Level Maths Jun 2019 9MA0 300 217 165 134 103 73 43 A-Level Maths Oct 2020 9MA0 300 214 162 130 99 68 37 Average % for 2018 & 2019 100% 74% 58% 48% 38% 29% 19%

I am sure June 2023 still seems a long way off but here are the grade boundaries for the first three sittings of the new A-level Maths. Again it is probably wise to ignore the results of the few students who sat the exam in October 2020 and look at the averages for the for the two pre-pandemic sittings.

You may be surprised to see top end grades have been awarded for rather modest percentage scores. That is because the exams are difficult but the proportion of students gaining each grade is not allowed to vary by much. Essentially, you are in a competition with your peers up and down the country.

 Cumulative Pass Rates A* A*-A A*-B A*-C A*-D A*-E A-Level Maths Jun 2018 9MA0 31% 61% 76% 85% 91% 95% A-Level Maths Jun 2019 9MA0 17% 41% 57% 74% 88% 97% A-Level Maths Oct 2020 9MA0 29% 55% 73% 86% 91% 95%

Here are the cumulative pass rates for A-level Maths from 2018 to 2020. The reason the results were so high in 2018 is because the vast majority of candidates were the last sitting of the old syllabus where there were 6 modules and resits of modules were allowed throughout the course. The 2019 results probably give the most reliable prediction of future outcomes.

### AS Maths Specimen Papers

Specimen Papers For AS Maths

Here are a pair of specimen papers for AS Maths. You will find question papers, mark schemes, staff solutions and video solutions to every individual question on the Pure paper. Use them well throughout your Lower Sixth year to get a feel for the standard of question you are expected to deal with at this stage of your A-level course.

 Sitting Max A B C D E AS Maths Jun 2018 8MA0 160 105 90 75 61 47 AS Maths Jun 2019 8MA0 160 101 87 74 61 48 AS Maths Oct 2020 8MA0 160 93 76 59 43 27 Average % for 2018 & 2019 100% 64% 55% 47% 38% 30%

Up to 2017 students were automatically entered for AS-level Maths in their Lower Sixth Year, as it was a compulsory part of the old A-level course. Once AS became stand alone and optional, Chosen Hill, like many other schools opted out to avoid increased costs. Exam fees vary from subject to subject but for Maths they are currently £59.70 for AS-Level and £124.10 for A-level. Under the old system AS exams were part of the full A-level and there was no separate charge. We did enter students for AS Maths in 2018 but were the only subject to do so. Nationally the Edexcel entries for AS Maths dropped from 12,657 in June 2018 to 4,446 in June 2021.

Though you will not be entered for AS-levels this year, past AS papers provide a very good measure of your progress half way through your A-level course.  You will have access to several sets of AS papers and the table above shows grade boundaries for exams actually taken. Because the October 2020 sitting was basically for students unhappy with the grade awarded by their school,  there would have been very few candidates sat the exams. The red line in the above table shows you the percentage of marks required for each pass grade averaged over the pre-pandemic sittings of 2018 and 2019.

The AS consists of two exams: a 2 hour Pure paper worth 100 marks and a 1 hr 15 min Mechanics & Statistics paper worth 60 marks (30 Mechanics & 30 Statistics). Note that in all sittings to date a Grade A has been awarded for less than 2/3 of the possible marks.

### Week 29 Nov - 05 Dec

Tuesday Lesson:

Recap on Increasing & Decreasing Functions

Lesson Notes

Introduction to Integration

Lesson Notes and Homework

Wednesday Lesson:

Finding Functions

Lesson Notes

Friday Lesson:

Definite Integration

Lesson Notes

Integration of Polynomial Functions

Video Lesson (25 min)

Video Lesson Notes

Exercise and Solutions

### Week 22 - 28 November

Tuesday Lesson:

Differentiation Mixed Exercise 12

Lesson Notes and Classwork

Mixed Exercise 12 Solutions

### Week 15 - 21 November

Tuesday Lesson:

Increasing and Decreasing Functions

Lesson Notes and Homework

Wednesday Lesson:

Review Basic Differentiation & Intro to Modelling

Lesson Notes

Friday Lesson:

Modelling With Differentiation

Lesson Notes

### Week 01 - 07 November

Tuesday Lesson:

Revision For Assessment 1

Lesson Notes and Homework

Wednesday Lesson:

Intro to Calculus

Differentiation from first principles

Differentiation of Polynomials

Lesson Notes

Friday Lesson:

Differentiation of Powers of x

Lesson Notes:

### Week 11 - 17 October

Tuesday Lesson:

Non-Linear Simultaneous Equations

Exam Questions

Classwork Solutions

Wednesday Lesson:

Non-Linear Simultaneous Equations 2

Homework : Q7, Q8, Q9, Q10, Q12 from exam questions above.

Hand in on Friday - Full solutions will be posted once homework handed in.

Full Solutions to Non-Linear Simultaneous Equations Homework

Friday Lesson:

Cancelled For House Music

### Week 04 - 10 October

Tuesday Lesson:

Lesson Notes

Odd numbers working together.

Even numbers working independently and to be handed in.

Full solutions to all questions

### Week 27 Sep - 03 Oct

Tuesday Lesson:

Lesson Notes

Wednesday Lesson:

Lesson Notes

Friday Lesson:

Lesson Notes and Homework

### Week 20 - 26 September

Tuesday Lesson:

Mixed Exercise 1

End of Chapter 1 mixed exercise completed in class and handed in for marking.

### Week 13 - 19 September

Tuesday Lesson:

Algebraic Expressions 1

Lesson Notes and Homework

Wednesday Lesson:

Factorising and Indices

Lesson Notes

Friday Lesson:

Surds

Lesson Notes an Homework

### Week 06 - 12 September

Tuesday Lesson:

Completing the Square

Lesson Notes

Video Lesson (31 mins)

Completing the Square Lesson Notes Transcript

Completing the Square Exercise and Solution

Homework:

For Tuesday 14 September please watch the video lessons on Rules of Indices and Surds. Printout the lesson notes, complete and self-mark the associated exercises using the solutions provided.

## L65M Homework & Revision

### Binomial and Hypothesis Testing Homework

Please complete and hand in on Tuesday 10 May.

Binomial and Hypothesis Testing Homework

### Differentiation - Harder Modelling Problems

Homework handed out last week for handing in Tuesday 14 December:

Harder Differentiation Modelling Problems

Harder Differentiation Modelling Problems Solutions

### L65M End of Term Assessment

L65M  will sit a first term assessment under exam conditions in your Maths lesson on Tuesday 14 December. The questions will all be from Edexcel exam papers on work covered in both Mr Herring's and Mr Smith's lessons. There will be no Trigonometry or Integration questions.

The 1 hour paper will be made up at follows:

 Question Topic Marks Q1 Straight Line 7 Q2 Circle 6 Q3 Quadratic Discriminant 6 Q4 Non-Linear Simultaneous Equations 7 Q5 Factor Theorem 6 Q6 Binomial Expansion 7 Q7 Basic Differentiation 5 Q8 Stationary Point 6 50

### Stationary Points and Modelling Homework

Please complete the following homework and hand in on Tuesday 30 November.

Stationary Points and Modelling Solutions

### Differentiating Polynomials 2

Stationary Points Video Lesson (27 mins)

Lesson Notes

Exercise and Solutions

### A-level Notation

Below is a six page document specifying all the notation that can be used in A-level Maths and Further Maths.

A-level Notation

### Basic Differentiation Homework 2

Please complete these questions on Basic Differentiation worth 33 marks and hand in on Friday 19 November.

Basic Differentiation Homework 2

### Basic Differentiation Homework

Please complete these questions on Basic Differentiation worth 20 marks and hand in on Tuesday 16 November.

Basic Differentiation Homework

### Differentiation From First Principles

Here is a short video working through an example of differentiating a polynomial term from first principles.

Differentiating f(x) = x4 (4:33)

Differentiating f(x) = x4 lesson notes

Further Practice:

Differentiating From First Principles Questions

Differentiating From First Principles Solutions

### Differentiating Polynomial Functions

Differentiation Basics Video Lesson (20 mins)

Lesson Notes

Exercise and Solutions

### October Half Term Homework

We have a two week gap between lessons over the half term break. This is an opportunity to sharpen your algebra skills. Here are three short video lessons with associated exercises and full solutions. Please print off the lesson notes, work through the exercises and use the solutions provided to self-mark your work.

Algebraic Multiplication and Division

Video Lesson (13 Mins):

Algebraic Multiplication and Division Exercise and Solutions

Factor and Remainder Theorems

Video Lesson (24 Mins):

Factor and Remainder Theorems Lesson Notes

Factor and Remainder Theorems Exercise and Solutions

Rearranging Formulae

Video Lesson (23 Mins)

Rearranging Formulae Lesson Notes

Rearranging Formulae Exercise and Solutions

### Non-Linear Simultaneous Equations

More homework for week beginning 4 October. Please watch video lesson, print off lesson notes, complete and self-mark exercise.

Video Lesson (23 min)

Non-Linear Simultaneous Equations Lesson Notes

Non-Linear Simultaneous Equations Exercise and Solutions

### Simultaneous Linear Equations

Homework for week beginning 4 October:

Print off notes, complete and self-mark exercise, watching video lesson if necessary.

Video Lesson (18 mins)

Simultaneous Linear Equations Lesson Notes

Simultaneous Linear Equations Exercise and Solutions