## L61M Lessons & Blog

### Week 24 - 30 June

Tuesday Lesson:

Cartesian Path of a Projectile

Lesson Notes

Trigonometric Relationships

1 + tan2x = sec2x

1 + cot2x = cosec2x

### Week 17 - 23 June

Monday Lesson:

Intro to Projectiles

Lesson Notes

Tuesday Lesson:

Projectiles Basics

Lesson Notes

### Week 10 - 16 June

Tuesday Lesson:

Logs & Exponentials

Lesson Notes

Thursday Lesson:

AS 2019 Applied Paper

### Week 03 - 09 June

Monday Lesson:

Review AS Applied Jun 2018

Tuesday Lesson:

Trigonometric Identities & Equations

Lesson Notes

### Week 20 - 26 May

Tuesday Lesson:

CAST Diagram and Trigonometric Equations

Lesson Notes

Wednesday Lesson:

Revision

Thursday Lesson:

AS Applied Paper Jun 2018

### Week 13 - 19 May

Monday Lesson:

SUVAT - Vertical

Lesson Notes

Tuesday Lesson:

Kinematics -  Variable Acceleration

Lesson Notes

### Week 06 - 12 May

Tuesday Lesson:

Review of Stats & Mech Specimen AS Paper

Wednesday Lesson:

Review of Pure Specimen AS Paper

Thursday Lesson:

Exponential Function Mixed Exercise 14

Lesson Notes

### Week 29 Apr - 05 May

Monday Lesson:

Pure Revision

Lesson Notes

Tuesday Lesson:

Mechanics Revision

Lesson Notes

### Week 22 - 28 April

Tuesday & Wednesday Lessons:

Modelling Exponential Data Using Logarithms

Worksheet

Solutions

Thursday Lesson:

Exponential Equations

Lesson Notes

### Week 01 - 07 April

Monday Lesson:

Intro to Exponential Functions

Lesson Notes

Tuesday Lesson:

Intro to Logarithms

Lesson Notes

### Week 25 - 31 March

Tuesday Lesson:

Proof - Exercise 7D

Lesson Notes

Wednesday Lesson:

Proof by Exhaustion - Exercise 7E

Lesson Notes

Thursday Lesson:

Algebra Mixed Methods Exercise 7

Lesson Notes

Monday Lesson:

Factor Theorem 2

Lesson Notes

Tuesday Lesson:

Algebraic Proof

### Week 11 - 17 March

Tuesday Lesson:

Cancelled - University Trip

Wednesday Lesson:

Algebraic Fractions & Algebraic Division

Lesson Notes

Homework Exercise

Thursday Lesson:

Factor Theorem

Lesson Notes

### Week 04 - 10 March

Monday Lesson:

Variable Acceleration

Lesson Notes

Tuesday Lesson:

Variable Acceleration - Integration

Lesson Notes

### Week 25 Feb - 03 Mar

Tuesday Lesson:

Pulley Systems

Lesson Notes

Wednesday Lesson:

Pulleys Exercise 10F

Lesson Notes

Thursday Lesson:

Particles Connected Vertically

Lesson Notes

### Week 11 - 17 February

Monday Lesson:

Vectors Mixed Exercise 11

Lesson Notes

Tuesday Lesson:

Intro to Forces and Motion

Lesson Notes

### Week 04 - 10 February

Tuesday Lesson:

Vectors

Review of GCSE Vectors

All Vectors Questions Q1 - Q10

Wednesday Lesson:

Representing Vectors

IT Problem - No Lesson Notes

Thursday Lesson:

Vectors - Geometric Proofs

Lesson Notes

### Week 28 Jan - 03 Feb

Monday Lesson:

Finish Mixed Exercise 13

Lesson Notes

Tuesday Lesson:

Complete Integration Assessment

### Week 21 - 27 January

Tuesday Lesson:

Complete Differentiation Assessment

Solutions

Wednesday Lesson:

Integration Mixed Exercise 13

Lesson Notes

Thursday Lesson:

Mixed Exercise 13 Continued

Lesson Notes

### Week 14 - 20 January

Monday Lesson:

Harder Differentiation Modelling Problems

Harder Differentiation Modelling Solutions

Tuesday Lesson:

Revision for Differentiation Assessment

Lesson Notes

### Week 07 - 13 January

Tuesday Lesson:

Integration

TheMathsTeacher Integration of Polynomials Lesson Notes

TheMathsTeacher Integration of Polynomials Exercise

Lesson Notes

Wednesday Lesson:

Exercise 13C & 13D

Lesson Notes

Thursday Lesson:

Area Between Two Curves

Lesson Notes

### Week 17-23 December

Monday Lesson:

Differentiation Problems

Lesson Notes

Intro to Integration

Tuesday Lesson:

Lesson Notes

### Week 10 -16 December

Tuesday Lesson:

Intro to Stationary Points

Lesson Notes

Wednesday Lesson:

Applying Calculus

Lesson Notes

Thursday Lesson:

Maxima and Minima Exam Questions

Lesson Notes

### Week 03 - 09 Dec

Calculus

Monday Lesson:

Intro to Differentiation

Lesson Notes - from TheMathsTeacher.com

See video lesson Differentiating Polynomial Functions (20 mins)

Tuesday Lesson:

Differentiation - Tangents and Normals

Lesson Notes

### Week 26 Nov - 02 Dec

Tuesday Lesson:

Mixed Exercise

Wednesday Lesson:

Vertical SUVAT

Lesson Notes

Thursday Lesson:

Review of Vertical SUVAT

Students solve problems on board

Solutions to Vertical SUVAT 2008-10

### Week 19 - 25 November

Monday Lesson:

Velocity Time Graphs

Lesson Notes

Tuesday Lesson:

Mixed Exercise 9

Lesson Notes

### Week 12 - 18 November

Tuesday Lesson:

SUVAT Exercise 9C

Lesson Notes

Wednesday Lesson:

SUVAT Exercise 9D

Lesson Notes

Thursday Lesson:

Intro to Vertical Motion

Lesson Notes

### Week 5 - 11 November

Intro to Mechanics

Monday Lesson:

Lesson Notes

Tuesday Lesson:

Coordinate Geometry Assessment

### Week 29 Oct - 4 Nov

Tuesday Lesson:

In Mr Smith's absence please work on Mixed Exercise 6

Wednesday Lesson:

Exercise 6F

Lesson Notes

Thursday Lesson:

MEI Circles Questions

Lesson Notes

### Week 15 - 21 October

Monday Lesson:

Exercise 6D

Lesson Notes

Tangent to Circle

Thursday Lesson:

Lesson Notes

### Week 08 - 14 October

Intro to Coordinate Geometry of the Circle

Tuesday Lesson:

Lesson Notes

Wednesday Lesson:

Continue exploring circle coordinate geometry - Exercise 6B

Lesson Notes

Thursday Lesson:

Circles - Exercise 6C

Lesson Notes

### Week 01 - 07 October

Parallel and Perpendicular Lines

Monday Lesson:

Working through Exercises 5E and 5F

Lesson Notes

Distance between Points

Tuesday Lesson:

Working through Exercises 5F, 5G and 5H.

Lesson Notes

### Week 24 - 30 September

Coordinate Geometry - Straight Line

Tuesday Lesson

Exercises 5A & 5B

Lesson Notes

Wednesday Lesson

Exercises 5C & 5D

Lesson Notes

### Week 17 - 23 September

Straight Line Coordinate Geometry

Monday Lesson Objectives:

To be able to:

• Find gradient of line between two given points
• Find distance between two given points
• Find midpoint between two given points
• Recognise parallel and perpendicular lines
• Find eqn of line through given point with given gradient
• Find eqn of line through two given points

Support:

TheMathsTeacher - Coordinate Geometry Basics (25 mins)

Video Lesson Notes

Tuesday Lesson:

Algebra Mixed Exercise 1 Recap

### Expanding & Factorising

Lesson Objectives:

To be able to:

• Expand brackets
• Factorise algebraic expressions

## L61M Homework

### Arithmetic & Geometric Progressions

Please complete the work on Arithmetic Progressions and hand in by Friday 5 July.

http://transition.bravesites.com/

Please complete the work on Geometric Progressions and hand in the first lesson after Work Experience Week.

### Projectiles Homework

Please complete the two attached questions and hand in tomorrow, Wednesday 26 June.

Projectiles Homework Questions

### Projectiles - Worked Example

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

Projectiles Example (9:53)

Projectiles Example Solution

### Mock Exam Preparation - 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

### Connected Particles Major Homework

Please complete the following homework on file paper and hand in on Tuesday 12 March.

This is a major piece of work consisting of 5 Edexcel exam questions worth 54 marks. It will take at least an hour and a half so do not leave it until the last minute. Joint solutions are not allowed so do not work together on these problems.

Connected Particles Major Homework

Connected Particles Solutions

### Connected Particles Review

Please complete Connected Particles Review Homework and hand in on Monday 4 March.

Connected Particles Review Solutions

### Forces and Motion

Please complete over half-term and mark from the solutions provided.

Connected Particles Introductory Questions

Connected Particles Introductory Solutions

### 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

### Calculus Exam Questions

Please complete these calculus questions and hand in on Monday 14 January.

Solutions to calculus questions

Please complete this exercise on SUVAT and hand in Monday 14 January.

Solutions to SUVAT exercise.

Here is a short video recap on Completing the Square (6:51)

Completing the Square Recap Lesson Notes

Now complete this 6 question exercise and email your work to me by Sunday 6 January.

Have a good New Year.

Completing the Square Exercise Solutions

Here is a question on the Quadratic Discriminant together with mark scheme and video solution:

Now complete this exercise and email your solutions to me by Sunday 30 December.

Have a good Christmas.

Solutions to Discriminant Exercise

Complete Mixed Exercise 2 on pages 35-36 of the blue textbook.

Solutions to be scanned and emailed to Mr Smith by Sunday 23 December.

### Intro to Integration

Watch TheMathsTeacher Video -  Integration of Polynomial Functions (25 mins)

Print the Lesson Notes for your file

Do and self-mark the associated exercise

### Maxima and Minima

Please complete the attached 3 questions and hand in on Monday.

The third question has similarities with the farm fence problem we considered. If you cannot do the first part you can still use their given result to do the following parts.

Maxima and Minima Homework

Maxima and Minima Solutions

Please watch the 23 minute video lesson: Non-Linear Simultaneous Equations.

Print off these lesson notes for your file.

Do the associated exercise and self-marl from the solutions provided.

You should have the work with you for inspection on Monday 20 December.

All NOYT2 students are required to redo the Year 12 Pure Maths Assessment and hand in next Tuesday 11 December.

### Circles Homework

Please complete these final two questions on Circles and hand in at Monday's lesson.

Here are the solutions.

### Half-Term Homework

Please complete these questions on circles and hand in next lesson Tuesday 30 October.

### Exam Questions - Straight Line

Please complete these 3 exam questions and hand in tomorrow. You may need to add additional paper if you are printing the questions off.

### Straight Line Mixed Exercise

Please complete and hand in next Tuesday 8 October:

Mixed Exercise 5 Page 109 - Q9, Q10, Q11 and Q12.

Solutions to Mixed Exercise 5 - Q9, Q10, Q11, Q12.

### Straight Line Problems

Please complete Exercise 5D Q8, 10, 12, 14, 16 and hand in on Thursday.

Here are the solutions.

### Straight Line

Please complete Exercise 5B - Q6, 8, 9, 10, 11, 12

### Straight Line Coordinate Geometry

Please complete the exercise and self-mark from solutions provided at end of exercise.

### Surds

Please watch video lesson on Surds

Print off lesson notes for your file

Complete and self mark the Exercise

### Rules of Indices

Please watch the video lesson Rules of Indices

Print and file the lesson notes

Complete and self mark the exercise

### Becoming An Effective Learner

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'