10CMR Lessons & Blog

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

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

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

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

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