Preparing for Paper 2

These are the powerpoints that were used in today's revision sessions.

Foundation

Higher

GCSE Bearings revision- Foundation/Higher

There are three important rules to remember when faced with a bearing problem:

1. Always start from north 
2. Always turn clockwise 
3. Write as 3-digits. e.g 035

Bearing problems are often worded: Find the bearing of B from A. This means you need to put your protractor on A and then measure the bearing to B, with zero facing north, going clockwise around your protractor and writing as three digits. 

Here is a video from corbett maths and some practise questions to have a go at.

Exam Questions: 

Questions

Answers 

Higher GCSE: Circle Theorems

For your GCSE exam you will need to remember these circle theorems.

Circle Theorems - part 2

A photo posted by Corbettmaths (@corbettmaths) on May 21, 2016 at 3:47am PDT

Circle Theorems - part 1

A photo posted by Corbettmaths (@corbettmaths) on May 21, 2016 at 3:47am PDT

When answering circle theorem problems, it is extremely important to use the correct vocabulary. The examiners are looking for certain key words, for example circumference, center, cyclic quadratic etc. Using the vocabulary in the post above from Corbett maths is important. 

Here are some practice exam questions and answers to have a go at! 

Questions  

Answers  

Solving equations and inequalities- Year 11 revision and Year 10 Higher

We are approaching the year 11 GCSE exam and my year 10 class are revising for a solving equations test. Here is a list of topics and some questions and answers to help. Links are taken from corbettmaths and mathstakeaway.

Solving linear equations

Answers. JG

A photo posted by King Ed VII (@makerevision) on May 20, 2016 at 4:42am PDT

Solving quadratics (factorising, formula, 

completing the square)

Questions;

Higher questions: Solving Quadratics. Answers in next post. JG

A photo posted by King Ed VII (@makerevision) on May 22, 2016 at 3:47am PDT

Answers to these questions are on our instagram account makerevision- follow for daily questions.

Simultaneous Equations

Here are some questions to try on linear simultaneous equations    questions

Higher simultaneous questions, y10 and y11, comment your answer. JG

A photo posted by King Ed VII (@makerevision) on May 19, 2016 at 12:53pm PDT

Linear and non linear

Linear and non linear   questions      answers

Inequalities 

Questions    Answers

Questions        Answers

Higher Vector questions.

Today we were working on some GCSE vector questions. Remember to clearly label your diagram and think carefully the direction you are going. Also, remember that in the exam you need to write    a to show it is a vector. 

This video from corbett maths shows how to answer vector questions and their are some questions below to have a go at. 

Corbett maths exam questions     answers

Maths takeaway questions    answers     answers   

Have also posted a picture on our instagram feed! Makerevision!

 

Higher vector question, comment your answer. JG

A photo posted by King Ed VII (@makerevision) on May 19, 2016 at 12:50pm PDT

Parallel and Perpendicular Lines

Get some practise in on finding perpendicular lines!

When it comes to perpendicular gradients, the key rule is that the gradients have a product of -1.

So, this means that if you know one gradient, the perpedicular gradient comes from changing the sign and inverting it - for example, a gradient of 2 is perpendicular to -1/2.

A couple more -

A gradient of -3 is perpendicular to a gradient of 1/3
A gradient of 2/3 is perpendicular to a gradient of -3/2

Still not sure? Take a look at this tutorial from Corbett Maths.

Changing the subject: Foundation and Higher

Make x the subject means rearrange the formula to make it  x= . It is important to take it step by step to make sure you done make any mistakes!

Foundation:

A useful video from corbett maths. 

 

Here are some questions from our instagram page @MAKErevision, feel free to comment answers.

Foundation: Rearranging questions visit makerevision.blogspot.com

A photo posted by King Ed VII (@makerevision) on May 12, 2016 at 10:50am PDT

 Higher:

On higher, when you change the subject and you have x on both sides, you need to rearrange to get x on both sides first, the once you have x on the same side you need to factorise then divide. 

 

Here are some higher questions which can be found on our instagram account. 

Changing the subject: Higher. Comment answers,more information at makerevision.blogspot.co.uk

A photo posted by King Ed VII (@makerevision) on May 12, 2016 at 11:02am PDT

Feel free to comment answers via the blog or instagram. 

Proof By Induction

Proof by Induction is the domino run of the Further Maths world:

If one domino falls, and the next one definitely falls, they all will.

A nice introductory video from Khan Academy



Once you have looked through this you can attempt the questions on this sheet

Worksheet from Mr Barton's A-Level Maths site

Another worked example can be found on our Instagram feed:

Proof by Induction example for FP1

A photo posted by King Ed VII (@makerevision) on May 12, 2016 at 1:45am PDT

Year 10 homework- Knowledge Organiser Measures and Accuracy

This week the year 10 homework will be to create your own knowledge organiser on a given topic. A knowledge organiser notes the specific knowledge which is important to remember. 

An example of a knowledge organiser created by Emeny Learning can be found here

How you wish to structure this is entirely up to you, it needs to be completed onto A4 yellow paper or highlighted yellow around the edge.

If you want a template this can be found here, however feel free to be creative! This is a tool which is important for revision next year, make sure that you complete it well to help when it comes to revising this topic. 

Solving Quadratic equations

Today both higher year 11 classes of mine have been revising solving quadratic. There are three different methods for solving quadratic equations: 

Factorising

 

Completing the Square 

Quadratic Formula 

And for the year 10's- found this song to help remember it! 

With these, it is important that you have a lot of practice, find below links to different resources you could use: 

Solving by factorising Corbett Maths   Answers 

Quadratic Formula Corbett Maths   Answers

Completing the square Corbett Maths   

Worksheet- Factorising

Worksheet Formula

Worksheet Completing the Square

If you are still struggling come to maths cafe every lunch time and get help! 

Worded GCSE questions Foundation

Many of the year 11's have been asking for help on solving and answering worded problems in exams. It is really important to start by reading the question carefully and underline and information. 

I have found a brilliant video and set of exam questions from  GCSE Maths Takeaway site

Here is the video:

Exam question are on the site above number 81.

Angle Bisectors and Perpendicular Bisectors

Not sure about how to construct a bisector? Or not sure which one is which? Have a look at these two videos which show you the step-by-step instructions.

Angle Bisectors:

Perpendicular Bisectors:

Got the hang of it? Draw a few lines and angles and get some practice in! You'll need a pencil, ruler and compass for this - make sure you have them.

Trigonometry - Sine and Cosine Rule

A short video on historical use of Trigonometry in ancient Indian astronomical observatories...



When we aren't dealing with right angle triangles then the Sine Rule and Cosine Rule become very important:

For the Sine Rule we are dealing with a situation involving two sides and two angles (one of which will be unknown), for the Cosine Rule you need 3 sides and one angle (again one of which is unknown).

Rearranging Formulae- Higher and Foundation

Today my year 11 higher classes and C MTG have been revising Rearranging Formulae. Remember to take each step carefully.

Corbett maths exam questions can be found here: 

Corbett exam questions Higher 
Corbett maths exam questions Foundation

Year 11- Corbettmaths 5 a day prize draw

Today is the launch of our new Corbett maths 5 a day prize draw. When you complete any 5 a day questions (suitable of your target grade) you can enter your worksheets into the box in Mr Hoad's room. You can enter as many times as you like and use any of the old 5 a day's from the folder. Remember they are also retweeted every day on our twitter page @MAKErevision direct from @Corbettmaths twitter.

There will be a weekly prize draw from the box and then a prize draw after your GCSE exams. Get posting your 5 a days into the box for your chance to win a prize! Remember the more you enter the more likely you are to win! (And dont forget to put your name and maths class on your 5 a day sheet!)