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Sep 012020
 

This video from Aljazeera explains the origins of Algebra and how important it is for us today.

Al-Khwarizmi: The Father of Algebra

None of the great achievements of modern science would be possible without the mathematisation of science and the development of algebra. *Muhammad ibn Musa al-Khwarizmi was a 9th-century Muslim mathematician and astronomer. *He is known as the “father of algebra”, a word derived from the title of his book, Kitab al-Jabr.

Al-Khwarizmi
https://www.aljazeera.com/programmes/science-in-a-golden-age/2015/10/al-khwarizmi-father-algebra-151019144853758.html
https://www.aljazeera.com/programmes/science-in-a-golden-age/2015/10/al-khwarizmi-father-algebra-151019144853758.html
Sep 232015
 

Hopefully you already know how to change a fraction to a decimal.

For instance ²⁄³ =2 ÷ 3= 0.6666… This is a recurring decimal. But changing a recurring decimal back to a fraction is a little more complicated.

UK maths teacher have produced a great video on this.

If you prefer a written explanation Study maths have produced a good introduction of how to convert a recurring decimal to a fraction.

http://studymaths.co.uk/topics/convertingRecurringDecimalsToFractions.php

recurringdecimaltofractionThere is also an interactive worksheet to make sure you can do it.

recurringdecimalsstudymaths

http://studymaths.co.uk/workout.php?workoutID=50

Jun 272014
 

A jigsaw to revise linear graphs and their equations. Do you remember y=mx+c? m is the gradient, c is the intercept on the y axis. If you have forgotten this look here first.

Some of these equations need re-arranging so you can find the gradient and intercept, but others are already in the y=mx+c format.

I think this is one of the best jokes yet! Do you get it?

May 132014
 

If you can factorise a quadratic that is the easiest way to solve it. Some quadratics don’t factorise, so then we can use the formula. This video from jayates shows how to do it. If you are studying GCSE Higher you are currently given the formula in the exam so you don’t have to learn it off by heart, but don’t forget to refer to the formula sheet at the front of your exam paper when you need it.

 

Maths is fun explains this well but don’t worry too much about the “imaginary numbers” at the end. If you are doing Higher you don’t need to know that yet.

Here is a worksheet that you can print off and practice solving quadratics with the formula.

May 132014
 


Simultaneous equations are when you have 2 or more equations with two or more unknowns. You can solve them using algebra or by drawing a graph of the two equations and seeing where they cross.

This video shows you how to solve simultaneous equations using algebra.

This video shows how to solve simultaneous equations using a graph.

Now you try!

GCSE Bitesize

Study Maths (more examples and interactive worksheets)

May 132014
 

Surds are numbers left in square root or cube root format. We leave them as surds because in decimal form they go on forever, so it uses up lots of ink to write them and accuracy is quickly lost. There are lots of tricks to simplify surds and these two videos from maths520 show them clearly. This topic is important for Higher GCSE students.

 

 

Have you got it? Try these questions on BBC Bitesize. then continue to these. Also try the jigsaw.