Algebra Resources

Collecting like terms   video   worksheet

Solving Equations 

Solving linear equations  
 video   worksheet
worksheet  
worksheet 

Solving inequalities video    worksheet 

Solving quadratic equations- Factorising  video   worksheet
                                            -  Formula   video   worksheet 
                                            - (Higher) Completing the square  video   worksheet 

 Graphs 

Table of values worksheet 
Drawing worksheet
Gradient and y-intercept worksheet

Other

Rearranging equations worksheet 
                                     worksheet
                                     worksheet 
Substituion worksheet  
                   worksheet 2 
 

Year 12- Completing the Square

From the first test, completing the square was identified as an area to work on. If you are struggling, watch these videos and have a go at the questions. #

Exam questions 

Completing the square:

Using completing the square 

Year 11- Drawing straight line graphs Foundation and Higher

Most year 11 classes have been looking at drawing straight line graphs during the first week back! It is important that you know how to draw a straight line graph.

Drawing straight line graphs

Video:

Extra questions to have a go at Plotting straight line graphs 

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

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Solving quadratics (factorising, formula, 

completing the square)

Questions;

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

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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

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Linear and non linear

Linear and non linear   questions      answers

Inequalities 

Questions    Answers

Questions        Answers

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

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 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

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Feel free to comment answers via the blog or instagram. 

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! 

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

Writing and Solving Equations

You might not have to just solve equations in your exam - you might have to write them out first!

Remember an equation just says that two expressions are equal.

So you just need to write out the information you read, and make sure you include an '=' sign!

Here's an example:

"I think of a number, double it and add seven. My answer is 37.

A number we don't know is usually called x.

Double this number would be written as 2x.

Seven more than this must be 2x + 7.

We are told this equals 37, so we write 2x + 7 = 37.

Got the hang of it? Try writing an equation for each of these sentences:

Using the Quadratic Formula

Whenever you're faced with a quadratic equation you have choice:

• Plot it and find the intercepts
• Factorise and solve (x+...)(x+...) etc. Each bracket =0 etc
• Complete the square and rearrange (see these older posts)
• Use the quadratic formula:

(More can be seen about the quadratic formula in this post)

You will have your own order of preference for the above methods, but one thing you can be certain of is that if there are real solutions, the formula will find them (factorising may not!).

Year 10 Flipped Learning Homework

The year 10 homework due next week is the flipped learning task, my year 10 class have been given the task of researching and pre-learning how to complete the square for next lesson. The following websites may be of use. Year 11 higher, this is also useful for your revision! 

Useful websites: 

Completing the Square

Bitesize

Videos: 

Practise questions: