**Monday Lesson:**

Dynamics 2 - Exercise 7F

**Tuesday Lesson:**

Statics 3 Exercise 7D

**Wednesday Lesson:**

Dynamics 1 Exercise 7E

**Monday Lesson:**

Statics 1 Exercise7A

**Wednesday Lesson:**

Statics 2 Exercises 7B and 7C

**Tuesday Lesson:**

Revision : Venn Diagrams and Normal Distribution

Intro to Parametric Integration

**Wednesday Lesson:**

Revision - Parametrics

**Monday Lesson:**

Functions Revision

**Wednesday Lesson:**

Normal Distribution Revision

See below for video clips on using the Normal Distribution functions on your Classwiz calculator

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)

**Monday Lesson:**

Integration - Substitution Exam Questions

**Wednesday Lesson:**

More Substitution

Homework:

For Tuesday 10 December please watch the video lesson Integration by Parts (26 mins), print off the lesson notes, attempt the associated exercise and self-mark from the solutions provided.

**Tuesday Lesson:**

Due to all but one student failing to complete set homework, last week's homework carried forward into this lesson.

For Tuesday 26 November please watch the video lesson Integration by Substitution (24 mins), print off the lesson notes, attempt the associated exercise and self-mark from the solutions provided.

**Wednesday Lesson:**

Integration by Substitution

Year 13 Pure Maths Mock - Jan 2020 (2 Hours)

Question | Topic | Marks |

1 | Geometric Progression | 5 |

2 | Differentiation From First Principles | 5 |

3 | Functions | 13 |

4 | Integration by Substitution | 7 |

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 |

Total: 97 |

Year 13 Mechanics & Statistics Mock - Jan 2020 (1 Hour)

Question | Topic | Marks |

1 | Venn Diagram - Probability | 11 |

2 | Normal Distribution | 8 |

3 | SUVAT in 2-Dimensions | 4 |

4 | Moments | 11 |

5 | Projectiles | 14 |

Total: 48 |

**Monday Lesson:**

Moments 2008-10

**Wednesday Lesson:**

Intro to Integration

Homework - see right column

**Monday Lesson:**

R cos(theta - alpha) Methods

**Wednesday Lesson:**

Intro to Moments

**Monday Lesson:**

Implicit Differentiation

**Wednesday Lesson:**

Intro to Parametric Equations

**Tuesday Lesson:**

Trig Differentiation Ex 9F

**Wednesday Lesson:**

Differentiation Applications

**Monday Lesson:**

Differentiation Exercise 9D & 9E

Exercise 9D Solutions Exercise 9E Solutions

**Wednesday Lesson:**

Trig Functions & Graphs

**Tuesday Lesson:**

Differentiation - Chain Rule

**Wednesday Lesson:**

Differentiation - Product & Quotient Rules

**Monday Lesson:**

Modelling With Series

**Wednesday Lesson:**

Series Mixed Exercise 3

Set Notation Notes

**Tuesday Lesson:**

Geometric Progressions

**Wednesday Lesson:**

Sigma Notation & Recurrence Relations

The dates of your A-level Maths exams next summer are as follows:

Wed | 03 June 2020 | AM | 9MA0 01 | Pure Maths 1 | 2 Hours |

Wed | 10 June 2020 | AM | 9MA0 02 | Pure Maths 2 | 2 Hours |

Fri | 12 June 2020 | PM | 9MA0 03 | Stats & Mech | 2 Hours |

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.

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.

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

Moments Question (5:02)

Further Practice:

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 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