**Monday Lesson:**

Pythagoras and Trigonometry Problems

**Tuesday Lesson:**

Angles of Elevation and Depression

**Monday Lesson:**

Pythagoras and Trigonometry Problems

**Tuesday Lesson:**

Angles of Elevation and Depression

Work Experience Week

**Monday Lesson:**

Review Exam Paper 2

Proof of Pythagoras Theorem

**Tuesday Lesson:**

Pythagoras Theorem

Video Lesson Pythagoras Theorem (13:04)

**Wednesday Lesson:**

Intro to Basic Trigonometry

Video Lesson Basic Trigonometry (19:27)

**Friday Lesson:**

Basic Trigonometry - Exercise 6K

Exams Week

**Monday Lesson:**

Revision 9

Probability Trees - Polygons

**Tuesday Lesson:**

Revision 10

Ratio

**Wednesday Lesson:**

Revision 11

Year 10 Science exam

**Friday Lesson:**

Revision 12

Pie Charts - Multipliers

**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

**Monday Lesson:**

Revision 1

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

**Tuesday Lesson:**

Revision 2

Standard Form - Changing Subject of Formula - Factorising Quadratic Expressions

**Wednesday Lesson:**

Revision 3

Surds - Completing the Square

**Friday Lesson:**

Revision 4

Factorising Quadratic Expressions

Venn Diagrams

**Monday Lesson:**

Counting Strategies

Transformations - Translations

**Tuesday Lesson:**

Reflections

**Wednesday Lesson:**

Rotations

Enlargements - Spiders' Webs

**Thursday Lesson:**

Enlargements

**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

**Wednesday Lesson:**

Cumulative Frequency

Cumulative Frequency Questions

Cumulative Frequency Solutions

**Friday Lesson:**

Scattergraphs

**Monday Lesson:**

Stem Leaf Diagrams

**Tuesday Lesson:**

Boxplots

**Wednesday Lesson:**

Cumulative Frequency Graphs

Frequency Polygons

**Friday Lesson:**

Pictograms

Histograms

**Tuesday Lesson:**

Probability Trees

Also see homework lesson opposite

**Wednesday Lesson:**

Two - Way Tables

**Friday Lesson:**

Mean Median Mode Range

Quartiles For Small Samples

**Monday Lesson:**

Frustums and Review of Surface Area / Volume

**Tuesday Lesson:**

Basic Probability

**Wednesday Lesson:**

Independent Events and Sample Spaces

**Friday Lesson:**

Venn Diagrams

**Monday Lesson:**

Circles - Sectors

**Tuesday Lesson:**

Cones and Spheres

**Wednesday Lesson:**

Cones and Compound Shapes

**Friday Lesson:**

Cones and Frustums

**Monday Lesson:**

Assessment 3

**Tuesday Lesson:**

Review of Assessment 3

**Wednesday Lesson:**

The Circle - Area and Circumference

**Friday Lesson:**

Circles Continued

Exchange Rates

**Monday & Tuesday Lessons:**

Cover Lessons - Fractions and Percentages

**Wednesday Lesson:**

Percentages Revision

**Friday Lesson:**

Proportion and Ratio Revision

**Monday Lesson:**

Pythagoras Theorem Introduction

Video Lesson (13 Min)

**Tuesday Lesson:**

Volume and Surface Area 2

**Wednesday Lesson:**

Volume and Surface Area 3

**Friday Lesson:**

Finding Volumes of Models

**Monday Lesson:**

More Algebraic Fractions

**Tuesday Lesson:**

Algebraic Fractions Finale

**Wednesday Lesson:**

Area And Perimeter of Compound Shapes

Homework - Complete and self mark from the solutions provided

**Friday Lesson:**

Volume and Surface Area of a Prism

**Monday Lesson:**

Algebraic Fractions Intro

**Tuesday Lesson:**

Algebraic Fractions 2

**Wednesday lesson:**

Algebraic Fractions 3

**Friday Lesson:**

Changing The Subject Review

**Monday Lesson:**

Estimating Solutions to Equations From Graphs

**Tuesday Lesson:**

Estimating Solutions to Equations From Graphs 2

Algebraic Proof 1

**Wednesday Lesson:**

Algebraic Proof 2

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

**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)

**Monday Lesson:**

Completing The Square

**Tuesday Lesson:**

Completing the Square 2

Video Lesson (31 Min)

**Wednesday Lesson:**

The Quadratic Formula

Video Lesson (16 Mins)

**Friday Lesson:**

Consolidation of Quadratics Work

Finish all questions for Monday 14 February.

**Monday Lesson:**

Solving Quadratic Equations

Factorising - Difference of Two Squares

**Tuesday Lesson:**

Rearranging Formulae

Video Lesson (23 Min)

**Wednesday Lesson:**

Plotting Quadratic Graphs

**Friday Lesson:**

Plotting Quadratic, Cubic and Hyperbolic Graphs

**Monday Lesson:**

Proportion - Direct and Inverse

**Tuesday Lesson:**

Proportion Mixed Exercise

**Wednesday Lesson:**

Combining Ratios

Intro to Factorising Quadratics

**Friday Lesson:**

Quadratic Equations - Factorising

Two video lessons are available on this topic with lesson notes, exercises and solutions. The first covers the easier equations with a single x^{2} term and the second covers equations with a multiple x^{2} term as well as the difference of two squares factorisation which we will do next lesson.

Video Lesson 1 (20 Min)

Video Lesson 2 (29 Min)

**Monday Lesson:**

Growth and Decay

**Tuesday Lesson:**

Growth and Decay 2

**Wednesday Lesson:**

Simple Ratio and Recipes

Video Lesson (18 min)

**Friday Lesson:**

Manipulating Ratios

**Monday Lesson:**

Assessment 2 Revision 1

Fractions and Indices

**Tuesday Lesson:**

Assessment 2 Revision 2

Surds, Standard Form, Straight Line

Identifying Graphs of Straight Lines Revision

Identifying Graphs of Straight Lines Revision Solutions

**Wednesday Lesson:**

Assessment 2

**Friday Lesson:**

Multipliers

**Tuesday Lesson:**

Percentages Exercise

**Wednesday Lesson:**

Percentages Problems

**Friday Lesson:**

Simple Interest

Compound Interest / Depreciation

Video Lesson (21 min)

**Monday Lesson:**

Recurring Decimals - Fractions

**Tuesday Lesson:**

Basic Use of Percentages

Video Lesson (25 Min)

**Wednesday Lesson:**

Advanced Use of Percentages

Video Lesson (24 Min)

**Monday Lesson:**

Review of Basic Fractions

**Tuesday Lesson:**

Addition and Subtraction of Mixed Numbers

Video Lesson (9 Min)

**Wednesday Lesson:**

Multiplication and Division of Mixed Numbers

Video Lesson (12 Min)

Finding Fractions of Quantities

**Friday Lesson:**

Introduction to Algebraic Proof

Rational and Irrational Numbers

Recurring Decimal to Fraction Exam Question (2:34)

Two Further Exam Questions and Solutions

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

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.

**Monday Lesson:**

Recognising Straight Lines

Recognition of Lines Solutions

Equations of Parallel Lines

**Tuesday Lesson:**

Parallel and Perpendicular Lines

**Wednesday Lesson:**

Equation of Line Through 2 Given Points

**Friday Lesson:**

GCSE Foundation Paper 1 June 2017

**Monday Lesson:**

Indices Test 2

Rationalising More Surds

**Tuesday Lesson:**

Surds Problems

**Wednesday Lesson:**

Indices Test 3

Indices Exam Questions And Use of Calculator

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

**Friday Lesson:**

Intro to Straight Line

**Monday Lesson:**

Surds 2

(part class due to Geography trip)

**Tuesday Lesson:**

Surds 3

(part class due to Geography trip)

**Wednesday Lesson:**

Surds - Expanding Brackets & Rationalising Denominators

**Friday Lesson:**

Recap of Surds and Indices

Quick Indices test on Monday

**Monday Lesson:**

Assessment 1

**Tuesday Lesson:**

Review of HCF, LCM and Density

**Wednesday Lesson:**

Review of Forming and Solving Linear Equations

Homework on Forming and Solving Linear Equations

Homework to be handed in on Friday 12 November

**Friday Lesson:**

Introduction to Surds

**Monday Lesson:**

Standard Form Problems

Finish even numbers in lesson notes for homework tonight.

**Tuesday Lesson:**

Compound Measures Revision

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.

**Wednesday Lesson:**

Bounds and Forming Equations Revision

**Friday Lesson:**

Speed, Time & Distance Revision

**Monday Lesson:**

Indices Exercises

**Tuesday Lesson:**

Standard Form (Non-Calculator)

**Wednesday Lesson:**

Standard Form (Calculator)

**Monday Lesson:**

Circle Theorem Problems

**Tuesday Lesson:**

More Circle Theorem Problems

**Wednesday Lesson:**

Rules of Indices

Video Lesson (25 Mins)

Video Lesson Exercise and Solutions

**Friday Lesson:**

Indices Exercises

**Monday Lesson:**

Geometric Reasoning

**Tuesday Lesson:**

Geometric Reasoning 2

Lesson Notes and Homework Questions

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

**Wednesday Lesson:**

Intro to Circle Theorems

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

Record your findings on your student conjecture sheet.

Compare your findings with the Circle Theorems Summary.

**Friday Lesson:**

Proof of Circle Theorems

**Monday Lesson:**

Algebra Recap

Expanding, Factorising, Linear Equations

**Tuesday Lesson:**

Substitution & Linear Equations

**Wednesday Lesson:**

Angles and Polygons

Exterior Angles of Regular Polygons Fact Sheet

**Friday Lesson:**

Triangles, Quadrilaterals and Parallel Lines

**Monday Lesson:**

Expanding Trinomials & Factorising

Lesson Recap (4:35):

**Tuesday Lesson:**

Linear Equations

**Wednesday Lesson:**

Linear Equation Word Problems

**Monday Lesson:**

Speed , Density, Pressure

**Tuesday Lesson:**

Compound Measures 2

**Wednesday Lesson:**

Compound Measures 3

**Friday Lesson:**

Signed Numbers & Expanding Brackets

**Monday Lesson:**

Prime Factorisation, HCF and LCM

**Tuesday Lesson:**

HCF, LCM, Rounding

**Wednesday Lesson:**

Rounding and Bounds

**Friday Lesson:**

Rounding and Bounds 2

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

Construction Video Clips

Construct a triangle with sides 7cm, 6cm, 5cm (1:24)

Construct the perpendicular bisector between 2 given points A and B (1:21)

Bisect a given angle ABC (1:14)

Construct a perpendicular line from a given point P to a given line AB (1:09)

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.

To be completed by Wednesday 11 May.

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.

To be completed by Tuesday 3 May.

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

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

Changing The Subject Homework Solutions

Extra help if you struggled with this homework:

Rearranging Formulae

Video Lesson (23 Min)

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

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

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.

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

Compound Interest Homework Solutions

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

Review of Straight Lines Homework 1 (5 Min)

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 Solutions

Please also complete the graph plotting exam questions below:

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):

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

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.

You may use your books and previous tests to help you.

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

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

Video Lesson (19 min)

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.

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.

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

Please complete three races against the clock for:

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.

Please complete three races against the clock for:

Double Bracket Expansions - do this one twice selecting first single x^{2} and then multiple x^{2}

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

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)

Linear Equations 2 (14 Mins)

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!

Please complete and hand in on Wednesday 28 September:

Algebra Homework Video Solutions (10 min)

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.

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

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