**Tuesday Lesson:**

Trig Exercises 6C & 6D

**Wednesday Lesson:**

Intro to Trigonometry

**Friday Lesson:**

Trigonometry Exercises 6B & 6C

**Tuesday Lesson:**

Radians

**Wednesday Lesson:**

Trigonometric Equations

**Friday Lesson:**

Small Angles

**Tuesday Lesson:**

Chain Rule

**Wednesday Lesson:**

Product and Quotient Rules

**Friday Lesson:**

Use of Product, Quotient and Chain Rules

**Tuesday Lesson:**

Correlation and Regression Lines

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.

**Tuesday Lesson:**

AS and A-level Binomial Exam Questions

**Wednesday Lesson:**

Binomial Consolidation

No Lesson Notes

**Friday Lesson:**

Binomial Exam Questions - Hypothesis Testing

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

**Tuesday Lesson:**

Probability Distributions

**Wednesday Lesson:**

Binomial Distribution

**Friday Lesson:**

Hypothesis Testing

**Tuesday Lesson:**

Circles

Lesson Notes Missing

**Wednesday Lesson:**

Binomial Expansion Review

**Friday Lesson:**

Logs & Exponentials Review

**Tuesday Lesson:**

Cover Work - Mixed Exercise 2

Mixed Exercise 2 Solutions

**Tuesday Lesson:**

Estimating the Median for Grouped Data

**Wednesday Lesson:**

Interpercentile Range

**Friday Lesson:**

Coding of Data

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

Locations of Weather Stations

Excel Statistical Functions (6:25):

Statistical Calculations on the fx-991EX CLASSWIZ Calculator

**Tuesday Lesson:**

Populations and Samples

**Wednesday Lesson:**

Median and IQR

**Friday Lesson:**

Mean and Standard Deviation

Estimating the Mean for Grouped Data

Video Lesson (16 Min)

**Tuesday Lesson:**

MEI Questions on Probability Trees

Homework - Complete the other 4 questions in the classwork

**Tuesday Lesson:**

Conditional Probability - Venn Diagrams

**Wednesday Lesson:**

Probability From Tables

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

**Friday Lesson:**

Intro to Probability Trees

**Tuesday Lesson:**

Vectors 3

Magnitude - Direction - Unit - Position

**Wednesday Lesson:**

Angle Between Vectors

**Friday Lesson:**

Vectors Mixed Exercise 11

**Tuesday Lesson:**

Vectors 2

Parallel Vectors

GCSE Vector Problems (Homework)

All Vectors Questions Q1 - Q10

**Tuesday Lesson:**

Integration - Mixed Exercise 13

**Wednesday Lesson:**

Integration - Mixed Exercise 13

**Friday Lesson:**

Intro to Vectors

**Tuesday Lesson:**

End of Term Assessment

**Wednesday Lesson:**

Review of Assessment

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.

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.

**Tuesday Lesson:**

Recap on Increasing & Decreasing Functions

Introduction to Integration

**Wednesday Lesson:**

Finding Functions

**Friday Lesson:**

Definite Integration

Integration of Polynomial Functions

Video Lesson (25 min)

**Tuesday Lesson:**

Differentiation Mixed Exercise 12

**Tuesday Lesson:**

Increasing and Decreasing Functions

**Wednesday Lesson:**

Review Basic Differentiation & Intro to Modelling

**Friday Lesson:**

Modelling With Differentiation

**Tuesday Lesson:**

Stationary Points

**Tuesday Lesson:**

Revision For Assessment 1

**Wednesday Lesson:**

Intro to Calculus

Differentiation from first principles

Differentiation of Polynomials

**Friday Lesson:**

Differentiation of Powers of x

**Tuesday Lesson:**

Non-Linear Simultaneous Equations

**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

**Tuesday Lesson:**

Quadratic Exam Questions

Odd numbers working together.

Even numbers working independently and to be handed in.

**Tuesday Lesson:**

Quadratic Formula and Discriminant

**Wednesday Lesson:**

Quadratic Graphs and Equations

**Friday Lesson:**

Inequalities - Linear and Quadratic

**Tuesday Lesson:**

Mixed Exercise 1

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

**Tuesday Lesson:**

Algebraic Expressions 1

**Wednesday Lesson:**

Factorising and Indices

**Friday Lesson:**

Surds

**Tuesday Lesson:**

Completing the Square

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.

Please complete and hand in on Tuesday 10 May.

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

Harder Differentiation Modelling Problems

Harder Differentiation Modelling Problems Solutions

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 |

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

Stationary Points and Modelling Questions (52 marks)

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

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

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

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:

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 Lesson Notes

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)

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

Video Lesson (23 min)

Homework for week beginning 4 October:

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

Video Lesson (18 mins)

Print off this Functions Worksheet

Use the Graphs of Cubic, Quadratic and Linear Functions online software to answer the questions

Video Lesson (25 mins)