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Aug 202014
 

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.

Interactive Worksheet

Pdf worksheet

Jul 032014
 

If you have not yet tried Squares and Cubes do this first.

A square root is the opposite of squaring a number. The symbol for square root is  √.

So if 3²=9 then  √9=3

A cube root is the opposite of cubing a number. The symbol for cube root is ³ √.

So if 3³=27 then ³ √27=3

TrySquares, Square Roots, Cubes and Cube Roots to help you become familiar with the important examples of this.

Jul 032014
 

To square a number you multiply it by itself. For example 3² =3×3=9

To cube a number you multiply it by itself three times. So 3³=3x3x3=27

If you are studying GCSE it is very helpful to learn the common squares and cubes to save you time in the non calculator exam. This exercise will help you do that-don’t be tempted to use a calculator! For Functional Skills students you can use a calculator. Look for the x² and x³ buttons on your scientific calculator and use these.

Each time you do this exercise you will get a different selection of questions. To do it again click the refresh icon on your browser.

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?

Jun 052014
 

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.

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.

May 122014
 

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.

May 062014
 

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.

May 062014
 

Here is a great phone app that will help you with your arithmetic so you don’t need to be afraid when you are faced with that non-calculator exam. It’s called Maths Tricks and shows you lots of short cuts to performing calculations and gives you endless practice to improve your speed and accuracy. Best of all it’s free!

https://play.google.com/store/apps/details?id=com.dexterltd.maths.tricks_lite

You can find it on Google Play. I am recommending this because it is good, not because I have any connection to the app.

 

 

 

Feb 022014
 

Do you understand the difference between a formula, expression, identity and equation?

A formula is a rule written using symbols that describe a relationship between different quantities. Typical maths formulae include

A = πr² (area of a circle)

C=πd (circumference of a circle)

An expression is a group of mathematical symbols representing a number or quantity. Expressions never have equality or inequality signs like =, >, <, ≠ ,≥ ,≤. Some examples

3a

3xy + 4x

t² + t³

An identity is an equation that is always true, no matter what values are chosen.

Examples

3a + 2a =  5a

x²+x² = 2x²

5 x 10 = 10 x 5

An equation is a mathematical statement that shows that two expressions are equal. It always includes an equals sign.

Examples

x² =100

3x(x+5)= 42

(x+3)(x-2)=0


Use this exercise to make sure you understand the difference.