Pythagoras Theorem states that the square on the hypotenuse of a right angled triange is equal to the sum of the squares of the other two sides. In algebra
a2+b2=c2
Here are some useful links for Pythagoras Theorem.
Why does it work? Read theProof
Video showing Pythagoras Theorem with water.
Pythagoras demonstration to the tune of Popcorn!
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The Best Pythagorean Rap ever!
Rock on Pythagoras
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This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
When you have watched the video see if you can convert time into decimals and work out how much employees should be paid.
This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.
This is one in a large series of short videos showing how people use maths at work. See the others here.
A jigsaw to help revise perimeter and shapes.
Here is a video to help with GCSE revision. The questions come from the second half of a non calculator Foundation paper. These questions were also at the beginning of the Higher paper. They cover important topics you need to be confident with to be sure of getting a Grade C. I strongly recommend you attempt the paper yourself first and then watch the video to see if you got them right and to learn from your mistakes.
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!
Study Maths (more examples and interactive worksheets)
This video is quite long so you might want to watch it in two sittings, but it does explain clearly what higher GCSE students need to know about transformation of graphs. Thank you Ukmathsteacher!
Maths is fun has a good explanation of this with some nice interactive activities and questions. Bitesize activities are here.
Some students find it incredibly difficult to visualise nets being folded up into 3 dimensional shapes. The best way to gain confidence with this is having fun making lots of different shapes and I have already blogged about an excellent site for this where you can print off all sorts of nets and make some amazing shapes. With exams rapidly approaching you may not have time for that so here is a page from Nrich where you can watch 24 different nets being folded up to make 3d shapes. Before you press play each time try to work out what the shape will look like when it is folded, then see if you were right.
If you are studying GCSE you need to be able to draw and recognise graphs of simple functions, both straight lines and curves. If you are at college your computer might have software on it such as Omnigraph. If you are at home you can download free open source software that does the same job, called “Graph”. You can read more about Graph and download it here. When you have downloaded it experiment with different functions and see what happens to the graph. To enter x² you have to use x^2.
Here are some ideas of functions to try.
y=x, y=2x, y=3x, y=4x etc
y=x+1, y=x+2, y=x+3 etc
y=-x, y=-2x, y=-3x etc
y=x-1, y=x-2, y=x-3 etc
y=x^2, y=x^2+1, y=x^2+2 etc
y=x^2+x, y=x^2 +2x, y=x^2 +3x etc
y=x^3, y=x^3 +1, y=x^3 +2 etc
Do you know all the important words for shape? This is a simple matching game to help you. Each time you play you will get a different selection of words.
Here is a similar exercise with pictures
If you are studying GCSE you need to learn the names of all the parts of a circle. This should help!
Circle Vocabulary
