## 11CM1 Lessons & Blog

### Week 13 - 19 May

Monday Lesson:

Review of Nov 2018 Paper 3H

GCSE Nov 18 3H Question Paper

GCSE Nov 18 3H Solutions

GCSE Nov 18 3H Mark Scheme

Tuesday, Wednesday, Thursday Lessons:

General Revision

### Week 06 - 12 May

Tuesday Lesson:

Assorted Revision Questions

Lesson Notes

Wednesday Lesson:

Do Nov 2018 Paper 3H

Finish for homework

Thursday Lesson:

Review of Nov 2018 Paper 2H

GCSE Nov 18 2H Question Paper

GCSE Nov 18 2H Solutions

GCSE Nov 18 2H Mark Scheme

### Week 29 Apr - 05 May

Monday Lesson:

Revision - Sim Figures - Trig Ratios - Compound Interest

Lesson Notes

Tuesday Lesson:

Review of Nov 2018 Paper 1H

GCSE Nov 18 1H Question Paper

GCSE Nov 18 1H Solutions

GCSE Nov 18 1H Mark Scheme

Wednesday Lesson:

Composite & Inverse Functions

Composite & Inverse Functions Worksheet

Composite & Inverse Functions Solutions

Manipulating Indices

Lesson Notes

Thursday Lesson:

Nov 2018 Paper 2H

Finish for homework

### Week 22 - 28 April

Tuesday Lesson:

Upper Bounds and Lower Bounds

Upper Bounds and Lower Bounds Worksheet

Upper Bounds and Lower Bounds Solutions

Wednesday Lesson:

Review of Non-Linear Simultaneous Equations

Lesson Notes

Thursday Lesson:

Review of Surds

Surds Worksheet

Surds Worksheet Solutions

### Week 01 - 07 April

Monday Lesson:

Compound Measures

Lesson Notes

Tuesday Lesson:

Density

Density Worksheet

Wednesday Lesson:

Density and Bounds

Density Worksheet Solutions

Thursday Lesson:

Cancelled for Blue Caterpillar

### Week 25 - 31 March

Monday Lesson:

Grouped Data

Grouped Data Worksheet

Grouped Data Worksheet Solutions

Tuesday & Wednesday Lessons:

Conditional Probability

Conditional Probability Worksheet

Conditional Probability Worksheet Solutions

Thursday Lesson:

Trapezium Rule

### Week 18 - 24 March

Monday Lesson:

Elevations

Lesson Notes

Tuesday Lesson:

Compound Interest & Depreciation

Lesson Notes

Roots of Equations by Iteration

Lesson Notes

Wednesday Lesson:

Review Indices - Algebraic Fractions - Standard Form

Indices Worksheet

Algebraic Fractions Worksheet

Standard Form Worksheet

Finish Standard Form worksheet for homework.

Thursday Lesson:

Review - The Mean

Lesson Notes

Mean Worksheet

Mean Worksheet Solutions

### Week 11 - 17 March

Monday Lesson:

Surface Area & Volume

Lesson Notes

Tuesday Lesson:

2D Trig Problems

Lesson Notes

Wednesday Lesson:

3D Trig Problems

Lesson Notes

Thursday Lesson:

Exponential Growth and Decay

Lesson Notes

Exponential Growth and Decay Questions

Exponential Growth and Decay Solutions

### Week 04 - 10 March

Monday Lesson:

Review of Mock 4 Papers

Tuesday Lesson:

Geometric Constructions & Loci

Lesson Notes

Wednesday Lesson:

Review of Indices

Lesson Notes

Review of Graphs

Graphs of Trigonometric Functions

Thursday Lesson:

Tables of Values - 3D Figures

Lesson Notes

### Exam Dates For GCSE Maths

The dates for your exams this summer are as follows:

 Paper Type Code Date Session Paper 1 Non-Calculator 1MA1 1H Tue 21 May AM Paper 2 Calculator 1MA1 2H Thu 06 June AM Paper 3 Calculator 1MA1 3H Tue 11 June AM

These dates are final and will not be changed.

### GCSE Higher Tier Grade Boundaries

Higher Tier Grade Boundaries (out of 240 possible marks):

 Sitting Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 Grade 4 Grade 3 Jun 2017 190 157 124 96 68 41 27 Nov 2017 189 150 112 85 58 32 19 Jun 2018 202 170 139 109 79 50 35 Nov 2018 194 159 125 95 66 37 22

These are the higher tier grade boundaries for the first four sittings of the new Edexcel GCSE Maths. The first two sets of exams were not at all popular with students but the June 2018 exams were viewed as more reasonable. The grade boundaries were higher but students felt they had more opportunity to demonstrate their skills and knowledge.

### Week 25 Feb - 03 Mar

Monday, Tuesday, Wednesday, Thursday Lessons:

Core Mock Exam Week

### Week 11 - 17 February

Monday Lesson:

Review Ratio Problems

Lesson Notes

Tuesday Lesson:

Circle Theorem Proofs

Lesson Notes

Wednesday Lesson:

Revision For Mock 4 Exams

Lesson Notes

Thursday Lesson:

Algebraic Fraction Equations

Algebraic Fraction Equations  Questions

Algebraic Fraction Equations Solutions

Algebraic Proof

Algebraic Proof Questions

Algebraic Proof Partial Solutions

### Week 04 - 10 February

Monday Lesson:

Lesson Notes

Tuesday Lesson:

Vectors

Review of GCSE Vectors

All Vectors Questions Q1 - Q10

Wednesday Lesson:

Composite Functions

Functions Questions

Functions Solutions

Lesson Notes

Thursday Lesson:

Ratio Problems

Ratio Questions

Ratio Solutions

### Week 28 Jan - 03 Feb

Monday Lesson:

Review of Jun 17 Paper 3H

Jun 17 Paper 3H Solutions

Class Results: 1x8, 6x7, 12x6, 8x5, 4x4

Rearranging Formulae

Rearranging Formulae Lesson Notes

Rearranging Formulae Exercise

Lesson Notes

Tuesday Lesson:

Review of Inequalities - Linear, Quadratic and Graphical

Lesson Notes - Linear and Quadratic

Lesson Notes - Graphical

Wednesday Lesson:

Review of Bounds

Identifying Linear Functions From Their Graphs

Lesson Notes

Thursday Lesson:

Cancelled - Year 11 6th Form Taster Day

### New Strategy Required Somehow we have got to stop making the same mistakes on successive exam papers. Perhaps you are just weary of doing paper after paper. We will take a break from doing exam papers and concentrate on learning over the next three weeks leading up to your second set of mocks.

### Week 21 - 27 January

Monday Lesson:

Review of Jun 17 Paper 2H

Jun 17 Paper 2H Question Paper

Jun 17 Paper 2H Solutions

Class Results: 4x8, 11x7, 8x6, 5x5, 3x4

Lesson Notes

Tuesday Lesson:

Linear Simultaneous Equations

Linear Simultaneous Equations Exam Questions

Linear Simultaneous Equations Solutions

Wednesday Lesson:

Areas of Sectors and Segments

Lesson Notes

Begin Jun 17 Paper 3H

Thursday Lesson:

Complete Jun 17 Paper 3H

### Week 14 - 20 January

Monday Lesson:

Review of Jun 17 Paper 1H

Jun 17 Paper 1H Question Paper

Jun 17 Paper 1H Solutions

Class Results: 2x8, 7x7, 8x6, 6x5, 6x4, 2x3

Tuesday Lesson:

Non-Linear Simultaneous Equations

TheMathsTeacher Lesson Notes

TheMathsTeacher Exercise

GCSE exam questions are most likely on Quadratic/Linear or Circle/Linear combinations

Video Lesson H8 at TheMathsTeacher.com

Wednesday & Thursday Lessons:

Complete June 2017 Paper 2H

### Week 07 - 13 January

Monday Lesson:

Iteration

Lesson Notes

Tuesday Lesson:

Equation of a Straight Line

Lesson Notes

Interpreting Graphs Exercise

Interpreting Graphs Solutions

Wednesday Lesson:

Parallel and Perpendicular Lines

Lesson Notes

Thursday Lesson:

Complete June 2017 Paper 1H

### Week 17 - 23 December

Monday Lesson:

Sine and Cosine Rule Problem Solving

Sine and Cosine Rule Problem Solving Questions

Sine and Cosine Rule Problem Solving Solutions

Tuesday & Wednesday Lessons:

Ratio Problem Solving

Ratio Problem Solving Questions

Ratio Problem Solving Solutions

Thursday Lesson:

Circle Theorem Problem Solving

Circle Theorem Problems

Circle Theorem Solutions

### Week 10 - 16 December

Monday & Tuesday Lessons:

Review of June 2018 Papers

June 2018 Paper 1H Solutions

June 2018 Paper 2H Solutions

June 2018 Paper 3H Solutions

Wednesday Lesson:

Review of Trigonometry

Lesson Notes

Thursday Lesson:

Pythagoras & Trigonometry Problems

Pythagoras & Trigonometry Problems

Pythagoras & Trigonometry Solutions

### Week 03 - 09 Dec

Monday Lesson:

Linear Equations Involving Fractions

Tuesday Lesson:

Lesson Notes

Wednesday Lesson:

Simplifying Algebraic Fractions

Lesson Notes

Density

Lesson Notes

Thursday Lesson:

Venn Diagrams

Lesson Notes

### Week 26 Nov - 02 Dec

Mock Exams Week 2

Normal lessons suspended

### Week 19 - 25 November

Mock Exams Week 1

Normal lessons suspended

### Week 12 - 18 November

Monday Lesson:

Revision - Trigonometry

Lesson Notes

Tuesday Lesson:

Revision - Standard Form - Bounds - Trapezium Rule

Lesson Notes

Wednesday Lesson:

Revision - Iteration - Congruency - Boxplots

Lesson Notes

Thursday Lesson:

Questions from Jun 2008 Higher Tier Paper 3

Lesson Notes

### Week 5 - 11 November

Monday Lesson:

Revision - HCF/LCM - Algebraic Inequalities - Expanding Trinomials

Lesson Notes

Tuesday Lesson:

Revision - Number of ways - Capture / Recapture - Venn Diagrams

Lesson Notes

Wednesday Lesson:

Revision - Polygons

Lesson Notes

Thursday Lesson:

Discussion about A-level Maths and Further Maths

### Week 29 Oct - 4 Nov

Monday Lesson:

In Mr Smith's absence work on Circle Theorems:

Pink Textbook Exercises 11.3S1 and 11.3S2

Tuesday Lesson:

In Mr Smith's absence work on Roots, Indices and Exact Calculations:

Pink Textbook Exercises 17.1A and 17.2S

Wednesday Lesson:

Revision of Algebraic Proof an Quadratic Sequences

Lesson Notes

Extra Proof Questions

Thursday Lesson:

Revision of all types of factorising

Lesson Notes

### Mock GCSE Maths Exam Dates

Paper 1 (Non Calc) Tuesday 20 November at 8.45 am.

Paper 2 (Calculator) Thursday 22 November at 8.45 am.

Paper 3 (Calculator) Monday 26 November at 8.45 am.

### Week 15 - 21 October

Monday Lesson:

Review of Mock 3 Paper 3

Lesson Notes

Tuesday Lesson:

Introduction to Pinpoint

Enter data for the 3 Mock 3 papers

Wednesday Lesson:

Revision 1:

• Proportion in Similar 3D Figures
• Mixed Number Arithmetic

Lesson Notes

Thursday Lesson:

Revision 2:

• Indices

Lesson Notes

### Week 08 - 14 October

Review of Composite Functions & Inverse Functions

Monday Lesson Objectives:

To be able to:

• Compose functions
• Find inverse functions

Lesson Notes

Revision Lesson

Tuesday Lesson:

Review:

• Recurring decimals to fractions
• Compound measures
• Speed
• Density

Lesson Notes

Wednesday Lesson:

Mock Set 3 Paper 3H Question Paper

Thursday Lesson:

Review of Mock Set 3 Paper 3H Solutions

### Week 01 - 07 October

Transformations of Functions

Monday Lesson Objectives:

To be able to recognise and sketch:

• Translations
• Reflections

of graphs of functions.

Lesson Notes to print for your file

Review of Histograms

Tuesday Lesson:

Lesson Handout

Wednesday Lesson:

Mock Set 3 Paper 2H - Question Paper

Thursday Lesson:

Review of Mock Set 3 Paper 2H - Solutions

### Week 24 - 30 September

Iteration

Monday Lesson Objective:

To be able to find an approximate root using an iterative formula.

Lesson Notes

Tuesday Lesson

Practise iteration - Exercises 10.4S and 10.4A

Lesson Notes

Simultaneous Linear Equations

Wednesday Lesson

Review of Simultaneous Linear Equations

Lesson Notes

Equation of Tangent to Circle

Thursday Lesson Objective:

To be able to find the equation of the tangent to a circle.

Lesson Notes

### Week 17 - 23 September

Monday Lesson:

Review of straight line:

• y = mx + c
• midpoints
• parallel & perpendicular lines
• equations of lines

Support:

TheMathsTeacher - Coordinate Geometry Basics (25 mins)

Video Lesson Notes

Introduction to equation of circle x2 + y2 = r2

Tuesday Lesson:

Lesson Notes

Wednesday Lesson:

Mock Set 3 Paper 1H - Question Paper

Thursday Lesson:

Review of Mock Set 3 Paper 1H - Solutions

### Algebraic Fractions

Lesson:

Objective from yesterday's disrupted lesson.

Lesson Notes

### Algebraic Fractions

Lesson Objective:

To be able to manipulate and simplify algebraic fractions.

Lesson severely disrupted as half class missing for presentation rehearsal.

Lesson Objective:

To be able to solve a quadratic inequality by factorising.

We will first review the factorisation of quadratic expressions.

Lesson recap (4:46):

Video transcript

### Linear Inequalities - Regions

Lesson Objective:

To be able to draw the straight line graphs associated with a system of linear inequalities and identify the region satisfying the constraints.

### Year 11 Parents' Evening

Year 11 Parents' Evening will be held on Wednesday 16 January 2019 from 4pm - 7pm.

### 6th Form Open Evening

The 6th Form Open Evening will be held on Thursday 8 November from 6pm to 8.30pm.

I hope that most of you take the opportunity to come along and discuss the possibility of studying A-level Maths with us at Chosen Hill.

In addition, I look forward to discussing A-level Further Maths with those of you keen enough to consider two Maths A-levels.

Both Maths and Further Maths are considered Facilitating Subjects by the top UK universities comprising the Russell Group.

### Linear Inequalities

Lesson Objectives:

To be able to:

• Solve linear inequalities.
• Represent linear inequalities on a number line.

Lesson recap (3:23):

Video transcript

Grade Boundaries (out of 240 possible marks):

 Sitting Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 Grade 4 Grade 3 Jun 2017 190 157 124 96 68 41 27 Nov 2017 189 150 112 85 58 32 19 Jun 2018 202 170 139 109 79 50 35 Nov 2018 194 159 125 95 66 37 22

These are the higher tier grade boundaries for the first four sittings of the new Edexcel GCSE Maths. The first two sets of exams were not at all popular with students but the June 2018 exams were viewed as more reasonable. The grade boundaries were higher but students felt they had more opportunity to demonstrate their skills and knowledge.

### Exam Dates For GCSE Maths

Welcome back to Year 11.

The dates for your exams next summer are as follows:

 Paper Type Code Date Session Paper 1 Non-Calculator 1MA1 1H Tue 21 May AM Paper 2 Calculator 1MA1 2H Thu 06 June AM Paper 3 Calculator 1MA1 3H Tue 11 June AM

These dates are final and will not be changed.

## 11CM1 HOMEWORK

### Estimating

When GCSE questions ask you to estimate the result of a numerical calculation on the non-calculator paper you should proceed as follows:

Round the numbers in the problem to 1 significant figure before performing calculations.

Be careful if you have a number less than 1 for a denominator. For example, if the denominator = 0.4 then multiply the numerator and denominator by 10 so that you end up dividing by the whole number 4. Estimating Questions

Estimating Solutions

Please complete this week and self-mark from the solutions provided.

### Use of Calculator

When asked to use your calculator to evaluate an expression, use brackets to group terms in a numerator, terms in a denominator, and terms under a square root sign. Leaving out brackets risks the order of precedence rules on your calculator causing it to evaluate calculations in an inappropriate order for the question.

Use of Calculator Questions

Use of Calculator Solutions

Please complete this week and self-mark from the solutions provided.

### Simultaneous Equations Problems

Four of the following problems require the use of simultaneous Linear Equations but there is an odd one out.

Simultaneous Equations Problems

Simultaneous Equations Problems Solutions

Please complete this week and self-mark from solutions provided.

### Expansion of Trinomials

Please complete the following 5 questions on file paper and hand in tomorrow Wednesday 16 January.

1.   (x + 2)(x + 3)(x + 4)

2.   (x + 1)(x + 4)(x + 5)

3.   (x - 1)(x + 2)(2x + 3)

4.   (2x - 1)(x - 3)(x + 2)

5.   (x - 3)(x - 3)(x - 3)

Solutions

Here is is short video clip showing two worked examples (4:35):

Transcript of Video

### Venn Diagrams

For Monday 10 December please complete the last 3 questions of Venn Diagrams

Here is the complete exercise without answers if you wish to work through the questions again when revising.

### Factorising 3 Term Quadratic With Multiple X Squared

Everyone in 11CM1 must be able to factorise a three term quadratic with a multiple x squared term.

Video clip showing two worked examples (5:31):

Transcript of Video Questions

Please complete Homework Exercise of 10 Questions for Tuesday 4 December.

Solutions to Homework Exercise

### Corrections to Mock Set 3 Paper 2

Please review the corrections you did for Mock Paper 2 against my solutions.

If you wish to do the paper again in the future here is a question paper.

### Iteration

For tomorrow, please finish Q4 and Q5 which were emailed to you.

### Corrections to Mock Set 3 Paper 1

Please review the corrections you did for Q1 to Q11 against my solutions.

If you wish to do the paper again in the future here is a question paper.

### Coordinate Geometry - Straight Line

This week please complete this exercise and self mark from the solutions provided at the end of the exercise.