**Monday Lesson:**

Small Angle Approximations

**Tuesday Lesson:**

Review Mech & Stats Mock Papers

**Wednesday Lesson:**

Sequences and Series

**Monday Lesson:**

Small Angle Approximations

**Tuesday Lesson:**

Review Mech & Stats Mock Papers

**Wednesday Lesson:**

Sequences and Series

**Monday Lesson:**

Integration by Parts

**Wednesday Extra Lesson:**

APs and GPs

**Tuesday Lesson:**

Review of Jun 2018 Stats and Mech Paper

June 2018 Paper 3 Statistics & Mechanics Question Paper

June 2018 Paper 3 Statistics & Mechanics Solutions

June 2018 Paper 3 Statistics & Mechanics Mark Scheme

**Wednesday Lesson:**

Parametric Integration

Normal Topic Test

**Tuesday Lesson:**

Review of Moments

**Wednesday Lesson:**

Review of Inclined Planes

Due to Easter Monday falling outside the normal two week Easter holiday and the early May bank holiday, we will miss two lessons. This leaves only 9 lessons before your first exam. I plan to replace these lost lessons with two Week 1 Wednesday Period 5 lessons when almost all of you are free.

They will be on Wednesday 1 May and Wednesday 15 May.

The grade boundaries for the new Edexcel A-level Maths exams taken in June 2018 were as follows:

Qualification | A* | A | B | C | D | E |

A-Level Maths (300) | 229 | 184 | 155 | 126 | 98 | 70 |

76% | 61% | 52% | 42% | 33% | 23% |

There is of course no guarantee that these will be a good guide to the grade boundaries for the 2019 exams.

The dates for the 2019 A-Level Maths Exams are as follows:

Paper | Code | Date | Session |

Pure Mathematics 1 | 9MA0 01 | Wed 05 Jun 19 | AM |

Pure Mathematics 2 | 9MA0 02 | Wed 12 Jun 19 | AM |

Statistics & Mechanics | 9MA0 03 | Fri 14 Jun 19 | PM |

Each exam lasts 2 hours and is marked out of 100.

**Monday Lesson:**

3D Vectors

**Tuesday Lesson:**

Vectors - Exercise 7D

**Wednesday Lesson:**

Trapezium Rule

**Monday Lesson:**

Normal Hypothesis Testing

Normal Hypothesis Testing MEI 2005-10 Questions

**Monday Lesson:**

Binomial Distribution

**Tuesday Lesson:**

Binomial - Normal Approx - Hyp Testing

**Wednesday Lesson:**

Normal - Hypothesis Testing

**Monday Lesson:**

Correlation and Hypothesis Testing

**Wednesday Extra Lesson:**

The Large Data Set

Edexcel Large Data Set Spreadsheet

Excel Statistical Functions (6:25):

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)

**Monday Lesson:**

Coding Polynomials and Exponentials to give Linear Relationships

**Tuesday Lesson:**

Regression Lines and Coding

**Wednesday Lesson:**

Regression and Measuring Correlation

**Monday Lesson:**

Review of AS Statistics

Populations and Samples - What you need to know!

Mastering Statistics

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

Locations of Weather Stations

Statistical Calculations on the fx-991EX CLASSWIZ Calculator

**Monday Lesson:**

Motion in Two (or Three) Dimensions

**Tuesday Lesson:**

Moments - Including Ladders Against Walls

**Wednesday Lesson:**

Mastering Mechanics

Mech 1 Jan 05 - Omit Q1, Q6 | Solutions | Mark Scheme |

View this as an opportunity to consolidate your knowledge of Mechanics topics that were introduced earlier in the course. Questions on topics that have been moved to Further Maths have been identified for you to omit.

**Monday Lesson:**

Review of Mock Performance

Jan 19 Pure Mock Questions | Jan 19 Pure Mock Solutions |

Jan 19 Applied Mock Questions | Jan 19 Applied Mock Solutions |

**Monday Lesson:**

General Binomial Expansion

**Tuesday Lesson:**

Recurrence Relations - Iterative Sequences

**Wednesday Lesson:**

Review of Projectiles

Year 13 Pure Maths Mock - Jan 2019 (2 Hours)

Question | Topic | Marks |

1 | Geometric Progression | 5 |

2 | Differentiation From First Principles | 5 |

3 | Functions | 13 |

4 | Calculus Associated with Cubic | 10 |

5 | Rcos (theta - alpha) Methods | 11 |

6 | Parametric Equations | 5 |

7 | Modulus Function | 6 |

8 | Simultaneous Eqns / Discriminant | 5 |

9 | Differentiation / Iteration | 9 |

10 | Equation of a Circle | 9 |

11 | Arithmetic Progression | 5 |

12 | Implicit Differentiation | 7 |

13 | Trigonometric Equations | 10 |

100 |

Year 13 Mechanics & Statistics Mock - Jan 2019 (1 Hour)

Question | Topic | Marks |

1 | Venn Diagram - Probability | 11 |

2 | Normal Distribution | 8 |

3 | SUVAT in 2-Dimensions | 4 |

4 | Dynamics on an Inclined Plane | 11 |

5 | Projectiles | 14 |

48 |

**Monday Lesson:**

Static Rigid Bodies

**Tuesday Lesson:**

Dynamics on Inclined Plane

Sequences and Series

**Wednesday Lesson:**

Arithmetic Progressions

**Monday Lesson:**

Static Friction on Inclined Slope

Intro to Friction

**Monday Lesson:**

Intro to Friction

IT Problem - No Lesson Notes

**Tuesday Lesson:**

Resolving Forces

IT Problem - No Lesson Notes

**Wednesday Lesson:**

Resolving Forces on Inclined Plane

IT Problem - No Lesson Notes

**Monday Lesson:**

Moments - Tilting

**Tuesday Lesson:**

Functions

**Wednesday Lesson:**

Modulus Function

Moments

**Monday Lesson:**

In Mr Smith's absence please read the introduction to the Chapter on Moments and attempt Exercise 4A.

**Tuesday Lesson:**

In Mr Smith's absence continue reading about moments and attempt Exercise 4B.

**Wednesday Lesson Objective:**

To be able to use moments to calculate forces in equilibrium situations.

Introduction to Normal Distribution

**Monday Lesson Objective:**

To be able to use a Classwiz calculator to perform calculations associated with use of the Normal Distribution.

**Tuesday Lesson Objective:**

To be able to calculate parameters of Normal Distribution

**Wednesday Lesson Objective:**

To be able to:

- Approximate the Binomial with the Normal
- Apply a continuity correction

Here is the advice provided to Edexcel A-Level Maths markers for the June 2018 Pure Mathematics papers. You will find it useful when using official mark schemes to self-mark questions you do from past papers.

Three short video clips to teach you how to use the Normal Distribution functions on your calculator:

Normal Distribution 1 (1:18)

Normal Distribution 2 (1:51)

Normal Distribution 3 (1:37)

Conditional Probability

**Monday Lesson Objective:**

To be able to use set notation within Venn diagrams.

Exercise 2A

**Tuesday Lesson Objective:**

To be able to state the formulae for:

- Independent events
- Conditional probability

**Wednesday Lesson**

Two-Way Tables and Venn Diagrams

**Lesson Objective:**

To be able to divide polynomials by both linear and quadratic expressions.

Lesson Recap (4:23)

Support:

TheMathsTeacher.com

**Lesson Objective:**

To be able to decompose rational algebraic fractions into partial fractions.

Denominators of the rational fractions will be limited to having linear factors or repeated linear factors.

It may be necessary to factorise the denominator to obtain the required linear factors.

Lesson Recap 1 - Linear Factors (6:17)

Lesson Recap 2 - Repeated Linear Factors (6:03)

**Lesson Objective:**

To be able to manipulate and simplify algebraic fractions.

Lesson Recap 1 (4:33)

Lesson Recap 2 (2:56)

Year 13 Parents' Evening will be held on **Thursday 13 December 2018 from 4pm - 7pm.**

The grade boundaries for the new Edexcel AS Maths and A-level Maths exams taken in May/June 2018 were as follows:

Qualification | A* | A | B | C | D | E |

AS Maths (160) | N/A | 105 | 90 | 75 | 61 | 47 |

66% | 56% | 47% | 38% | 29% | ||

A-Level Maths (300) | 229 | 184 | 155 | 126 | 98 | 70 |

76% | 61% | 52% | 42% | 33% | 23% |

There is of course no guarantee that these will be a good guide to the grade boundaries for the 2019 exams.

The dates for the 2019 A-Level Maths Exams are as follows:

Paper | Code | Date | Session |

Pure Mathematics 1 | 9MA0 01 | Wed 05 Jun 19 | AM |

Pure Mathematics 2 | 9MA0 02 | Wed 12 Jun 19 | AM |

Statistics & Mechanics | 9MA0 03 | Fri 14 Jun 19 | PM |

Each exam lasts 2 hours and is marked out of 100.

The above dates are now final and will not be changed.

Rates of change questions normally involve three variables: Time t and two others such as Volume and Length. When a question asks you to find a rate of change it means find the derivative with respect to time.

Rates of Change Example (4:16)

Rates of Change 2008-14 Questions

Constant Acceleration - SUVAT in 2 Dimensions (6:46)

Variable Acceleration - Calculus (7:03)

The general motion questions on past Edexcel papers often involve the concept of impulse which is no longer on the syllabus. The following 10 MEI questions are perhaps a better guide as to the type of question we can expect on this topic.

General Motion MEI 2005-09 Questions

Here are the question paper, mark scheme and solutions you sat on Wednesday 3 April.

Here are the question paper, mark scheme and solutions you sat on Wednesday 27 March.

Go through your own solutions to see where you need to improve or expand your knowledge.

Here is a substantial 54 mark homework on Edexcel Connected Particle Exam Questions. My Year 12 class are doing it this week. If you would like to sharpen up your knowledge and skills in this area you could complete it and hand in next Monday. I would mark it and return it to you on Tuesday.

Edexcel Connected Particle Exam Questions

This homework is optional since you are already working on Stats 1 papers this week.

This spreadsheet can help you understand Binomial Hypothesis Testing:

Once we have completed the 8 Mechanics 1 papers we will concentrate on Statistics 1 papers to consolidate knowledge of topics introduced earlier in the course.

Some questions have been annotated 'No longer on Syllabus'. Miss those questions out.

Other questions are on correlation and regression. If you are supplied with tabulated bivariate data you can attempt these on your calculator. However, if you are given summary statistics for the data you can either miss the question out or, better still, use the formulae below to attempt the questions to increase your insight into correlation and regression.

You should all have a paper copy of the Mech 1 January 2009 paper. Please complete and hand in first lesson back on Monday 25 February. In case you lose your hard copy here is one you can download:

Mech 1 January 2009 Question Paper Omit Q3 which is no longer on the syllabus.

Have a good break.

Two Papers Per Week For A Month

Mech 1 Jan 05 - Omit Q1,6 | Solutions | Mark Scheme |

Mech 1 Jun 05 - Omit Q2 | Solutions | Mark Scheme |

Mech 1 Jan 06 - Omit Q2 | Solutions | Mark Scheme |

Mech 1 Jun 06 - Omit Q2 | Solutions | Mark Scheme |

Mech 1 Jan 07 - Omit Q4 | Solutions | Mark Scheme |

Mech 1 Jun 07 - Omit Q2 | Solutions | Mark Scheme |

Mech 1 Jan 08 - Omit Q2 | Solutions | Mark Scheme |

Mech 1 Jun 08 - Omit Q1 | Solutions | Mark Scheme |

Mech 1 Jan 09 - Omit Q3 | Solutions | Mark Scheme |

View this as an opportunity to consolidate your knowledge of Mechanics topics that were introduced earlier in the course. Questions on topics that have been moved to Further Maths have been identified for you to omit.

Aim to complete two papers per week for the next four weeks. Once this work is complete we will do a Mech 1 paper under exam conditions.

Please complete the following and hand in during Mr Herring's lesson on Thursday:

AP, GP and Modulus Function questions if you scored less than full m,arks on them.

Any Statistics or Mechanics question for which you scored less than 70% of the marks.

Valid for expressions of the form (1 + x)^{n} where n is negative, fractional or both.

It must be 1 at the front of the bracket and the validity depends on having |x| < 1

This topic is not on the January mock exam.

This is the final element of the support for mock exam preparation. The question concerned is 'Calculus Associated with a Cubic'.

Though most of the marks are for problem solving with standard calculus for polynomials the first 3 marks are concerned with a general point of inflection. This has not been examined on our old MEI syllabus and I can find no mention of it in our new textbooks. I have recorded a 10 minute lesson which will hopefully help you get to grips with it.

Points of Inflection (9:39)

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

Differentiating f(x) = x^{4} (4:33)

Differentiating f(x) = x^{4} lesson notes

Further Practice:

Here is an Iteration Question with the mark scheme, together with a video solution:

Equation of Iteration Example (5:44)

Equation of Iteration Example Solution

Further Practice:

This is a very important topic. Historically, it has been heavily examined by Edexcel. For example, on the June 2013 Core 3 paper there were two questions on Functions accounting for 18 of the 75 marks on the paper. Further down this web page you completed Functions questions from 2008-10 (blog entry dated 21 Nov 18). The questions supplied here are taken from 2011-13 papers.

Here is a Functions Question with the mark scheme, together with a video solution:

Functions Example (7:54)

Further Practice:

Here is an Equation of a Circle Question with the mark scheme, together with a video solution:

Equation of Circle Example (5:23)

Equation of Circle Example Solution

Further Practice:

Here are two Modulus Function Questions with the mark scheme, together with a video solution:

Modulus Function Examples (5:00)

Modulus Function Examples Solutions

Further Practice:

Here is a Projectiles Question with the mark scheme, together with a video solution:

Projectiles Example (9:53)

Further Practice

Here is a Normal Distribution Question with the mark scheme, together with a video solution:

Normal Distribution Example (7:49)

Normal Distribution Example Solution

Further Practice:

Parametric Equations questions often involve differentiation, integration and eliminating the parameter to obtain the cartesian equation of the curve. You have not yet covered the necessary integration techniques, so your exam question will not require integration. The further practice questions involve integration techniques which will be necessary for your final exam. For now you can practise the non-integration parts of these questions.

Here is a Parametric Equations Question with the mark scheme, together with a video solution:

Parametric Equations Example (3:18)

Parametric Equations Example Solution

Further Practice:

Parametric Equations Questions

Here is a Quadratic Discriminant Question with the mark scheme, together with a video solution:

Quadratic Discriminant Example (3.18)

Quadratic Discriminant Example Solution

Further Practice:

Quadratic Discriminant Questions

Here is an Rcos(theta - alpha) Methods Question with the mark scheme, together with a video solution:

Rcos(theta - alpha) Methods Example (6:00)

Rcos(theta - alpha) Methods Example Solution

Further Practice:

Rcos(theta - alpha) Methods Questions

Here is a Summary of Trigonometric Identities you need to memorise. Do not rely on them being in the Formulae Booklet as you need to recognise them within the context of problems you are looking to solve.

Here is a Trigonometric Identity & Equation Question with the mark scheme, together with a video solution:

Trigonometric ID & Eqn Example (6:23)

Trigonometric ID & Eqn Example Solution

Further Practice:

Trig Identities & Equations 2008-10 Questions

Here is a Vectors 2D SUVAT Question with the mark scheme, together with a video solution which introduces the techniques involved:

Vectors 2D SUVAT Example (8:24)

Vectors 2D SUVAT Example Solution

Further Practice:

Here is an Implicit Differentiation Question with the mark scheme, together with a video solution:

Implicit Differentiation Example (5:49)

Implicit Differentiation Example Solution

Further Practice:

Implicit Differentiation 2008-10 Questions

Here is a Dynamics on an Inclined Plane Question with the mark scheme, together with a video solution:

Dynamics on an Inclined Plane Example (4:50)

Dynamics on an Inclined Plane Example Solution

Further Practice:

Statics / Dynamics 2008-10 Questions

Statics / Dynamics 2008-10 Solutions

Statics / Dynamics 2008-10 Mark Schemes

Here is a Geometric Progression Question with the mark scheme, together with a video solution:

Geometric Progression Example (8:10)

Geometric Progression Example Solution

Further Practice:

Geometric Progressions 2008 - 10 Questions

Here is an Arithmetic Progression Question with the mark scheme, together with a video solution:

Arithmetic Progression Example (4:26)

Arithmetic Progression Example Solution

Further practice:

Arithmetic Progressions 2008-10 Questions

Here are three Venn Diagram Questions you may like to attempt before watching a video solution to the first and viewing written solutions to all three.

Venn Diagram Question from Jan 2004 (6:10)

Venn Diagram Probabilites Solutions

The Venn Diagram 11 mark question is one where the diagram will require probabilities rather than raw data in the circles. Set notation will be used. Here is a comprehensive exercise of 8 questions on this topic.

Venn Diagram practice questions

Please complete by Monday 2 December and mark as you go.

All these questions are taken from the Revision Page

Please complete and self-mark for Monday:

Video Solution Jan 2005 (5:03)

Video Solution Jun 2005 (6:51)

For Monday 15 October, please complete Normal 2008-10 questions and self-mark using the mark schemes and my solutions.

Further to my email last Friday, during lesson time for Mr Herring on Tuesday Period 2 please complete the Probability Mixed Exercise 2 on pages 34-36 of our Statistics & Mechanics Year 2 textbook.

The answers are in the back of the book but here are my full solutions.

Homework will be to revise for the Probability Topic Test which you will complete during Mr Herring's lesson on Friday Period 4.

DUE TO HOUSE MUSIC DAY, PLEASE NOW HAND IN PROBABILITY ASSESSMENT ON MONDAY 15 OCTOBER

Please complete the topic test handed out during the lesson and hand in next Monday 8 October.

This is a major piece of work that could take up to 90 minutes.

Please finish off and self mark from back of textbook:

- Exercise 2D Q2, Q4, Q6
- Exercise 2E Q4, Q6, Q8

For Monday please complete Exercise 2C Q8, 10, 12

Please complete these Algebraic Fractions questions and hand in on Wednesday. Where questions have multiple parts you should attempt only part (a).

Finish Exercise 2A Q 5-12.

The A-level syllabus states that there are two formal proofs you could possibly be required to reproduce in your exam:

The Number of Primes is Infinite (1:53):

The Square Root of 2 is Irrational (6:16):

Please complete Partial Fractions and hand in on Monday.

Here are the solutions.

Exercise 1B pages 6-7

Please complete Exercise 1B. Where there are multiple parts do only parts a and b.

In preparation for the lesson on Monday 10 September please:

Watch the 13 minute video lesson Algebraic Multiplication and Division.

Print off the lesson notes for your file.

Complete and self- mark the exercise from the solutions included.

Note that the video lessons will not play full screen on Chrome without a browser extension. They will on other browsers.

Professor Stephen Chew is a cognitive psychologist from Samford University, Birmingham, Alabama. In 2011, he recorded five short videos (each 5 - 9 minutes long) to help students become more effective learners. They contain a whole range of dos and don'ts together with practical suggestions you can adopt to improve your learning. Below are direct links to each video. As an alternative you can log on to Youtube and type in 'Stephen Chew'

How to get the most out of studying (Part 1) (6:54)

How to get the most out of studying (Part 2) (7:15)

How to get the most out of studying (Part 3) (5:46)