## 10CMR Lessons & Blog

### Week 19 - 25 July

Monday Lesson:

Pythagoras and Trigonometry Problems

Exercise 6L Lesson Notes

Tuesday Lesson:

Angles of Elevation and Depression

Exercise 6M Lesson Notes

### Week 11 - 18 July

Work Experience Week

### Week 04 - 10 July

Monday Lesson:

Review Exam Paper 2

Proof of Pythagoras Theorem

Lesson Notes

Tuesday Lesson:

Pythagoras Theorem

Lesson Notes

Video Lesson Pythagoras Theorem (13:04)

Lesson Notes

Exercise and Solutions

Wednesday Lesson:

Intro to Basic Trigonometry

Video Lesson Basic Trigonometry (19:27)

Lesson Notes

Exercise & Solutions

Friday Lesson:

Basic Trigonometry - Exercise 6K

Lesson Notes

Exams Week

### Week 20 - 26 June

Monday Lesson:

Revision 9

Probability Trees - Polygons

Lesson Notes

Tuesday Lesson:

Revision 10

Ratio

Lesson Notes

Wednesday Lesson:

Revision 11

Year 10 Science exam

Friday Lesson:

Revision 12

Pie Charts - Multipliers

Lesson Notes

### Week 13 - 19 June

Monday Lesson:

Revision 5

Cylinders - Cones - Spheres.  Lesson Notes

Speed - Density - Pressure.  Lesson Notes

Tuesday Lesson:

Revision 6

Speed - Density Exercises.  Lesson Notes

Error Intervals.  Lesson Notes

Wednesday Lesson:

Revision 7

Upper and Lower Bounds.  Lesson Notes

Indices.  Lesson Notes

Friday Lesson:

Revision 8

Parallel Lines.  Lesson Notes

Proof.   Lesson Notes

Algebraic Fractions.  Lesson Notes

### Week 06 - 12 June

Monday Lesson:

Revision 1

HCF - Mixed Number Arithmetic - Expanding Triple Brackets - Counting Number of Ways

Lesson Notes

Tuesday Lesson:

Revision 2

Standard Form - Changing Subject of Formula - Factorising Quadratic Expressions

Lesson Notes

Wednesday Lesson:

Revision 3

Surds - Completing the Square

Lesson Notes

Friday Lesson:

Revision 4

Lesson Notes

Venn Diagrams

Lesson Notes

### Week 23 - 29 May

Monday Lesson:

Counting Strategies

Lesson Notes

Transformations - Translations

Lesson Notes

Tuesday Lesson:

Reflections

Lesson Notes

Wednesday Lesson:

Rotations

Lesson Notes

Enlargements - Spiders' Webs

Lesson Notes

Thursday Lesson:

Enlargements

Lesson Notes

### Week 16 - 22 May

Monday Lesson:

Box Plots - Stem Leaf - Sample Spaces

Box Plots - Stem Leaf - Sample Spaces Questions

Box Plots - Stem Leaf - Sample Spaces Solutions

Tuesday Lesson:

Histograms

Histograms Questions

Histograms Solutions

Wednesday Lesson:

Cumulative Frequency

Cumulative Frequency Questions

Cumulative Frequency Solutions

Friday Lesson:

Scattergraphs

Lesson Notes

Scattergraph Questions

Scattergraph Solutions

### Week 09 - 15 May

Monday Lesson:

Stem Leaf Diagrams

Lesson Notes

Tuesday Lesson:

Boxplots

Lesson Notes

Wednesday Lesson:

Cumulative Frequency Graphs

Lesson Notes

Frequency Polygons

Lesson Notes

Friday Lesson:

Pictograms

Lesson Notes

Histograms

Lesson Notes

### Week 02 - 08 May

Tuesday Lesson:

Probability Trees

Lesson Notes

Also see homework lesson opposite

Wednesday Lesson:

Two - Way Tables

Lesson Notes

Friday Lesson:

Mean Median Mode Range

Lesson Notes

Quartiles For Small Samples

Lesson notes

### Week 25 Apr - 01 May

Monday Lesson:

Frustums and Review of Surface Area / Volume

Lesson Notes

Tuesday Lesson:

Basic Probability

Lesson Notes

Wednesday Lesson:

Independent Events and Sample Spaces

Lesson Notes

Friday Lesson:

Venn Diagrams

Lesson Notes

### Week 04 - 10 April

Monday Lesson:

Circles - Sectors

Lesson Notes

Tuesday Lesson:

Cones and Spheres

Lesson Notes

Wednesday Lesson:

Cones and Compound Shapes

Lesson Notes

Friday Lesson:

Cones and Frustums

Lesson Notes

### Week 28 Mar - 03 Apr

Monday Lesson:

Assessment 3

Tuesday Lesson:

Review of Assessment 3

Wednesday Lesson:

The Circle - Area and Circumference

Lesson Notes

Friday Lesson:

Circles Continued

Lesson Notes

Exchange Rates

Lesson Notes

Exchange Rates Homework

Exchange Rates Homework Solutions

### Week 21 - 27 March

Monday & Tuesday Lessons:

Cover Lessons - Fractions and Percentages

Lesson Notes

Wednesday Lesson:

Percentages Revision

Lesson Notes

Friday Lesson:

Proportion and Ratio Revision

Lesson Notes

### Week 14 - 20 March

Monday Lesson:

Pythagoras Theorem Introduction

Lesson Notes

Video Lesson (13 Min)

Video Lesson Notes

Exercise and Solutions

Tuesday Lesson:

Volume and Surface Area 2

Lesson Notes

Wednesday Lesson:

Volume and Surface Area 3

Lesson Notes

Friday Lesson:

Finding Volumes of Models

Lesson Notes

### Week 07 - 13 March

Monday Lesson:

More Algebraic Fractions

Lesson Notes

Tuesday Lesson:

Algebraic Fractions Finale

Lesson Notes

Wednesday Lesson:

Area And Perimeter of Compound Shapes

Lesson Notes

Homework - Complete and self mark from the solutions provided

Friday Lesson:

Volume and Surface Area of a Prism

Lesson Notes and Homework

Homework Solutions

### Week 28 Feb - 06 Mar

Monday Lesson:

Algebraic Fractions Intro

Lesson Notes

Tuesday Lesson:

Algebraic Fractions 2

Lesson Notes

Wednesday lesson:

Algebraic Fractions 3

Lesson Notes

Friday Lesson:

Changing The Subject Review

Lesson Notes

### Week 14 - 20 February

Monday Lesson:

Estimating Solutions to Equations From Graphs

Lesson Notes

Tuesday Lesson:

Estimating Solutions to Equations From Graphs 2

Lesson Notes

Algebraic Proof 1

Lesson Notes

Wednesday Lesson:

Algebraic Proof 2

Lesson Notes and Homework

Homework is Q18, Q20, Q22, Q24 to be found in the lesson notes and completed for Friday.

Homework Solutions

Friday Lesson:

Completing The Square Revisited

We studied Completing the Square last week and I included a video lesson with lesson notes, exercise and solutions as an optional extra. Since few of you did well on the homework on this topic we will use today's lesson to consolidate and learn to solve equations with this method. Please watch the video, print the lesson notes and complete the two associated exercises. Each time you complete a question mark it straight away from the solutions provided. Look to learn from your mistakes.

Video Lesson (31 Min)

Video Lesson Notes

Exercise and Solutions

### Week 07 - 13 February

Monday Lesson:

Completing The Square

Lesson Notes

Tuesday Lesson:

Completing the Square 2

Lesson Notes

Video Lesson (31 Min)

Video Lesson Notes

Exercise and Solutions

Wednesday Lesson:

Lesson Notes

Video Lesson (16 Mins)

Video Lesson Notes

Exercise and Solutions

Friday Lesson:

Lesson Notes and Homework

Finish all questions for Monday 14 February.

### Week 31 Jan - 6 Feb

Monday Lesson:

Lesson Notes

Factorising - Difference of Two Squares

Lesson Notes

Tuesday Lesson:

Rearranging Formulae

Video Lesson (23 Min)

Lesson Notes

Exercise and Solutions

Wednesday Lesson:

Lesson Notes

Friday Lesson:

Plotting Quadratic, Cubic and Hyperbolic Graphs

Lesson Notes

Graphs you should recognise

### Week 24 - 30 January

Monday Lesson:

Proportion - Direct and Inverse

Lesson Notes

Tuesday Lesson:

Proportion Mixed Exercise

Wednesday Lesson:

Combining Ratios

Lesson Notes

Lesson Notes and Homework

Friday Lesson:

Lesson Notes and Homework

Two video lessons are available on this topic with lesson notes, exercises and solutions. The first covers the easier equations with a single x2 term and the second covers equations with a multiple x2 term as well as the difference of two squares factorisation which we will do next lesson.

Video Lesson 1 (20 Min)

Video Lesson Notes

Exercise and Solutions

Video Lesson 2 (29 Min)

Video Lesson Notes

Exercise and Solutions

### Week 17 - 23 January

Monday Lesson:

Growth and Decay

Lesson Notes

Tuesday Lesson:

Growth and Decay 2

Lesson Notes

Wednesday Lesson:

Simple Ratio and Recipes

Lesson Notes

Exercise and Solutions

Video Lesson (18 min)

Friday Lesson:

Manipulating Ratios

Lesson Notes and Homework

### Week 10 - 16 January

Monday Lesson:

Assessment 2 Revision 1

Fractions and Indices

Lesson Notes

Tuesday Lesson:

Assessment 2 Revision 2

Surds, Standard Form, Straight Line

Lesson Notes

Identifying Graphs of Straight Lines Revision

Identifying Graphs of Straight Lines Revision Solutions

Wednesday Lesson:

Assessment 2

Friday Lesson:

Multipliers

Lesson Notes

### Week 03 - 09 January

Tuesday Lesson:

Percentages Exercise

Lesson Notes

Wednesday Lesson:

Percentages Problems

Lesson Notes and Homework

Friday Lesson:

Simple Interest

Lesson Notes

Compound Interest / Depreciation

Lesson Notes

Video Lesson (21 min)

Exercise and Solutions

### Week 13 - 19 December

Monday Lesson:

Recurring Decimals - Fractions

Lesson Notes

Tuesday Lesson:

Basic Use of Percentages

Lesson Notes

Video Lesson (25 Min)

Video Lesson Notes

Exercise and Solutions

Wednesday Lesson:

Video Lesson (24 Min)

Video Lesson Notes

Exercise and Solutions

### Week 06 - 12 December

Monday Lesson:

Review of Basic Fractions

Lesson Notes

Tuesday Lesson:

Addition and Subtraction of Mixed Numbers

Lesson Notes

Video Lesson (9 Min)

Video Lesson Notes

Exercise and Solutions

Wednesday Lesson:

Multiplication and Division of Mixed Numbers

Lesson Notes

Video Lesson (12 Min)

Video Lesson Notes

Exercise and Solutions

Finding Fractions of Quantities

Lesson Notes

Friday Lesson:

Introduction to Algebraic Proof

Lesson Notes

Rational and Irrational Numbers

Lesson Notes

Recurring Decimal to Fraction Exam Question (2:34)

Video Lesson Notes

Two Further Exam Questions and Solutions

Two Recurring Decimal to Fraction Exam Questions (4:58)

Video Lesson Notes

Two Further Exam Questions and Solutions

### GCSE Grades Old and New

How do they compare?

 New Grades Old Grades 9 A* 9 8 8 A 7 7 6 B 6 5 5 C 4 4 3 D 3 3

### 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 Jun 2019 198 167 137 108 80 52 38 Nov 2019 197 165 133 103 73 43 28 Nov 2020 189 157 126 96 66 37 22 Average % 81% 67% 53% 41% 29% 17% 11%

These are the higher tier grade boundaries for all past 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. Grade boundaries for November exams are not as reliable as boundaries for June exams because there are far fewer students taking what essentially are re-sit exams.

All except the November 2020 exams were taken before the pandemic but give an indication of what you can expect both when completing past papers and when sitting your actual GCSE exams in May/June 2023.

### Week 29 Nov - 05 Dec

Monday Lesson:

Recognising Straight Lines

Lesson Notes

Recognition of Lines Exercise

Recognition of Lines Solutions

Equations of Parallel Lines

Lesson Notes

Tuesday Lesson:

Parallel and Perpendicular Lines

Lesson Notes

Wednesday Lesson:

Equation of Line Through 2 Given Points

Lesson Notes

Friday Lesson:

GCSE Foundation Paper 1 June 2017

### Week 22 - 28 November

Monday Lesson:

Indices Test 2

Questions

Solutions

Rationalising More Surds

Lesson Notes

Tuesday Lesson:

Surds Problems

Lesson Notes

Wednesday Lesson:

Indices Test 3

Questions

Solutions

Indices Exam Questions And Use of Calculator

Lesson Notes and Homework

Homework for Friday.  Please complete Q13 - Q22 inclusive in today's lesson notes.

Friday Lesson:

Intro to Straight Line

Lesson Notes

### Week 15 - 21 November

Monday Lesson:

Surds 2

Lesson Notes

(part class due to Geography trip)

Tuesday Lesson:

Surds 3

Lesson Notes

(part class due to Geography trip)

Wednesday Lesson:

Surds - Expanding Brackets & Rationalising Denominators

Lesson Notes

Friday Lesson:

Recap of Surds and Indices

Lesson Notes

Quick Indices test on Monday

### Week 08 - 14 November

Monday Lesson:

Assessment 1

Tuesday Lesson:

Review of HCF, LCM and Density

Lesson Notes

Wednesday Lesson:

Review of Forming and Solving Linear Equations

Lesson Notes

Homework on Forming and Solving Linear Equations

Homework to be handed in on Friday 12 November

Homework Solutions

Friday Lesson:

Introduction to Surds

Lesson Notes

### Week 01 - 07 November

Monday Lesson:

Standard Form Problems

Lesson Notes

Finish even numbers in lesson notes for homework tonight.

Tuesday Lesson:

Compound Measures Revision

Lesson Notes

Below is the density worksheet from which you attempted several questions in class.

As part of your revision I suggest you try a few more questions - some of them require volume formulae you have not yet met but most are suitable now. The solutiions to the worksheet are also uploaded below.

Density Worksheet

Density Worksheet Solutions

Wednesday Lesson:

Bounds and Forming Equations Revision

Bounds Revision

Forming Equations Revision

Friday Lesson:

Speed, Time & Distance Revision

Lesson Notes

### Week 18 - 24 October

Monday Lesson:

Indices Exercises

Lesson Notes

Tuesday Lesson:

Standard Form (Non-Calculator)

Lesson Notes

Indices Test and Solutions

Wednesday Lesson:

Standard Form (Calculator)

Lesson Notes

### Week 11 - 17 October

Monday Lesson:

Circle Theorem Problems

Lesson Notes

Tuesday Lesson:

More Circle Theorem Problems

Updated Lesson Notes

Wednesday Lesson:

Rules of Indices

Lesson Notes

Video Lesson (25 Mins)

Video Lesson Notes

Video Lesson Exercise and Solutions

Friday Lesson:

Indices Exercises

Lesson Notes

### Week 04 - 10 October

Monday Lesson:

Geometric Reasoning

Lesson Notes

Geometric Reasoning Problems

Tuesday Lesson:

Geometric Reasoning 2

Lesson Notes and Homework Questions

Please complete questions 9 to 12 and hand in Friday 8 October

Homework Solutions

Wednesday Lesson:

Intro to Circle Theorems

Lesson Notes

Use the online software to deduce the properties of a circle and the circle theorems.

Compare your findings with the Circle Theorems Summary.

Friday Lesson:

Proof of Circle Theorems

Lesson Notes

### Week 27 Sep - 03 Oct

Monday Lesson:

Algebra Recap

Expanding, Factorising, Linear Equations

Lesson Notes

Tuesday Lesson:

Substitution & Linear Equations

Lesson Notes

Homework for tomorrow

Wednesday Lesson:

Angles and Polygons

Exterior Angles of Regular Polygons Fact Sheet

Lesson Notes

Friday Lesson:

Lesson Notes

Parallel Lines Fact Sheet

Parallel Lines Online Software

### Week 20 - 26 September

Monday Lesson:

Expanding Trinomials & Factorising

Lesson Notes

Lesson Recap (4:35):

Transcript of Video

Tuesday Lesson:

Linear Equations

Lesson Notes

Wednesday Lesson:

Linear Equation Word Problems

Lesson Notes

### Week 13 - 19 September

Monday Lesson:

Speed , Density, Pressure

Lesson Notes

Tuesday Lesson:

Compound Measures 2

Lesson Notes

Wednesday Lesson:

Compound Measures 3

Lesson Notes

Friday Lesson:

Signed Numbers & Expanding Brackets

Lesson Notes

### Week 06 - 12 September

Monday Lesson:

Prime Factorisation, HCF and LCM

Lesson Notes

Tuesday Lesson:

HCF, LCM, Rounding

Lesson Notes

Wednesday Lesson:

Rounding and Bounds

Lesson Notes

Friday Lesson:

Rounding and Bounds 2

Lesson Notes

Homework for Tuesday 14 September (also on right of web page)

## 10CMR HOMEWORK & REVISION

### Estimating The Mean Homework

Please watch the video lesson on Estimating The Mean (16 min)

Print off the lesson notes for your file then complete and self-mark the exercise using the solutions provided.

Video Lesson Notes

Exercise and Solutions

To be completed by Wednesday 11 May.

### Probability Trees Homework

Please watch the video lesson on Probability Trees (24 min)

Print off the lesson notes for your file then complete and self-mark the exercise using the solutions provided.

Lesson Notes

Exercise and Solutions.

To be completed by Tuesday 3 May.

### Volume of Prisms Homework

Please complete in small homework books and hand in on Monday 21 March.

Volume of Prisms Homework

### Changing The Subject Homework

Please complete the Changing The Subject handout and hand in on Monday 7 March.

Changing The Subject Homework

Changing The Subject Homework Solutions

Extra help if you struggled with this homework:

Rearranging Formulae

Video Lesson (23 Min)

Lesson Notes

Exercise and Solutions

### Algebraic Fractions Homework

Please complete these Algebraic Fractions in your small homework books and hand in on Friday 4 March.

Homework Solutions

Please complete in your small homework books and hand in on Wednesday 16 February.

Homework Solutions

### Percentages and Ratios Homework

Please complete this Percentages and Ratios Worksheet and hand in on Wednesday 9 February.

The write on worksheet will be handed out on Monday 7 February.

Solutions to Percentages and Ratios Homework

Your homework for Friday is to explore Quadratic Graphs which is the second page of this worksheet. The first and third pages are optional but would enhance your understanding. The online animations to explore are accessed from the left hand link on this page.

It is awkward to use on a smartphone so use a computer or tablet if you have one.

### Compound Interest Homework

Please complete in small exercise books and hand in Monday 17 January.

Compound Interest Homework

Compound Interest Homework Solutions

### Assessment 2 Revision List

Rules of Indices 15

Mixed Number Arithmetic and Comparing Fractions 7

Standard Form 4

Straight Line Graphs - Plotting, Identifying Equation, Finding Parallel/Perpendicular Lines, Finding Gradients 12

Converting Recurring Decimal to Fraction 3

Surds - Expanding, Simplifying, Rationalising Denominators  9

### Straight Lines Homework 2

Review of Straight Lines Homework 1 (5 Min)

Video Lesson Notes

If you were unhappy with finding the equations of straight lines in last week's homework, please watch the short video above.

Then complete three similar questions and hand in on Monday 13 December.

Straight Lines Homework 2

Straight Lines Homework 2 Solutions

Please also complete the graph plotting exam questions below:

Plotting Linear Graphs Questions

Plotting Linear Graphs Solutions

### A Taste of A-level Maths

A-Level students have to be able to prove that the square root of 2 is an irrational number. However, the proof is also accessible to GCSE students. The only idea with which you may not be familiar is that fractions with coprime integers have been cancelled down as far as possible.

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

Transcript of Video

### Straight Lines Homework

Please complete the following questions in your exercise book and hand in on Monday 6 December.

Straight Lines Homework Questions

Straight Lines Homework Solutions

### Extra Indices Homework

All students who scored less than 25/30 on Indices Test 3 or did not do Indices Test 3 please complete Indices Test 4 and hand in on Monday 29 November.

Indices Test 4 Questions

Indices Test 4 Solutions

### Surds Homework

Please complete the 10 questions below and hand in on Friday 19 November.

Surds Homework

Surds Homework Solutions

### Introduction to Surds

The following video lesson , lesson notes, exercise and solutions should supplement your classwork on Surds

Video Lesson (19 min)

Video Lesson Notes

Exercise and Solutions

### New Developing Site For Exam Practice

Over the coming months I will be developing a new web site at chsmathsgcse.bravesites.com to provide you with practice on exam questions across the syllabus.

### Revision List For Assessment 1

Here is a list of the topics on which you will be examined during a one hour test during our lesson on Monday 8 November.

Revision List

### Circle Theorems Homework

This is the homework you were given in a booklet and handed in on Wednesday 20 October.

Circle Theorem Problems

Circle Theorem Solutions

### Linear Equations Drill and Practice Homework

Please complete three races against the clock for:

## SINGLE TERM IN X - TWO TERMS IN X - WITH BRACKETS

Linear Equations

A six minute video lesson is available working through two examples of each type.

You can print off your marked solutions or photograph and email them to me by Sunday 17 October.

### Algebra Drill and Practice Homework

Please complete three races against the clock for:

Single Bracket Expansions

Double Bracket Expansions - do this one twice selecting first single x2 and then multiple x2

You can print off your marked solutions or photograph and email them to me by Wednesday.

### Review of Linear Equations

Several of you have struggled with solving linear equations. Hopefully, you can consolidate your knowledge by watching the following two short video lessons and completing the associated exercises.

Linear Equations 1 (12 mins)

Lesson Notes

Exercise and Solutions

Linear Equations 2  (14 Mins)

Lesson Notes

Exercise and Solutions

### Extra Algebra Homework

If you scored less than 17/25 on the algebra homework then please complete this similar exercise and hand in on Monday 4 October.

If you scored 17 or more the work is optional - but I will mark it if you do it!

Extra Algebra Homework

### Algebra Homework

Please complete and hand in on Wednesday 28 September:

Algebra Homework

Algebra Homework Solutions

Algebra Homework Video Solutions (10 min)

### Linear Eqn Word Problems Homework

Complete the 4 questions and self mark using the solutions in the Wednesday 22 September lesson notes on this web page.

To be completed before next Monday's lesson.

Homework Questions

### Expand and Simplify Homework

Please complete these 5 questions and hand in Tuesday 21 September:

Expand and Simplify Homework

Expand and Simplify Solutions

### HCF LCM and Bounds Homework

Please complete the following questions and hand in on Tuesday 14 September.

Prime Factors, HCFs LCMs and Bounds