KS5 Mathematics - User contributions [en-gb]

Help:Contents

2014-07-14T09:14:30Z

IDI: /* Internal */

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
An '''External''' link goes to another website elsewhere on the internet. An '''Internal''' link is to another page on this wiki, or to an uploaded file. It's good to use internal links to uploaded files, because that way the wiki can keep track of which files haven't be used (at [[Special:UnusedFiles]]).

=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything ''after'' "index.php/" in your browser's address bar.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>
* Even better if: instead of writing File you put Media, because then the link will open the file directly rather than taking you to another page first...
<pre>[[Media:SU4.pdf|Standards unit activity 4]]</pre>
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

Help:Contents

2014-07-14T09:11:52Z

IDI: /* Internal */

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
An '''External''' link goes to another website elsewhere on the internet. An '''Internal''' link is to another page on this wiki, or to an uploaded file. It's good to use internal links to uploaded files, because that way the wiki can keep track of which files haven't be used (at [[Special:UnusedFiles]]).

=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything after "index.php/" in your browser's address bar.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>
* Even better if: instead of writing File you put Media, because then the link will open the file directly rather than taking you to another page first...
<pre>[[Media:SU4.pdf|Standards unit activity 4]]</pre>
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

C1 Coordinate Geometry

2014-07-14T09:07:32Z

IDI:

Part of [[C1]]
== Objectives ==
<onlyinclude>
*Equation of a straight line in forms <math>y = mx + c</math>, <math>y-y_1 = m(x-x_1)</math> and <math>ax + by + c = 0</math>.
*The coordinates of the mid-point of a line segment joining two given points.
*Conditions for two straight lines to be parallel or perpendicular to each other.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:A10.pdf|Standards unit - perpendicular lines]]

[[Media:Coordinate_geometry_starter.xlsx|Coordinate geometry starter]]

[[Media:2.Co-ordinate_Geometry_Ch2.pptx|TAM Coordinate geometry - line and circles]]

== Consolidation ==
== Homework ==

[[Media:C1_Coordinate_geometry.pdf|Selection of questions]]

[http://www.pretenshn.com/mediawiki/index.php/Special:Upload Mark scheme for questions above] - link broken

== Key questions ==
== Assessment ==

C1 Sequences and Series

2014-07-14T09:05:36Z

IDI: /* Supporting activities */

Part of [[C1]]
== Objectives ==
<onlyinclude>
*Definition of sequences by <math>n^{th}</math> term and recurrence relation.
*The <math>n^{th}</math> term.
*Sum of an arithmetic series in both forms.
*Practical problems.
</onlyinclude>
== Preparation ==

[[Media:N13.pdf|Analysing sequences]]

== Supporting activities ==
[http://www.s253053503.websitehome.co.uk/risps/risp2.html Risp 2 Sequence Tiles]

[[Media:5.Sequences_%26_Series_Ch7.ppt|TAM - Arithmetic and geometric]]

[[Media:Identify_which_are_arithmetic_series_or_geometric_series.pdf|Identify arithmetic or geometric series]]

[http://nrich.maths.org/1418 Nrich - proof of sum of AP]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==

C1 Sequences and Series

2014-07-14T09:04:59Z

IDI: /* Preparation */

Part of [[C1]]
== Objectives ==
<onlyinclude>
*Definition of sequences by <math>n^{th}</math> term and recurrence relation.
*The <math>n^{th}</math> term.
*Sum of an arithmetic series in both forms.
*Practical problems.
</onlyinclude>
== Preparation ==

[[Media:N13.pdf|Analysing sequences]]

== Supporting activities ==
[http://www.s253053503.websitehome.co.uk/risps/risp2.html Risp 2 Sequence Tiles]

[http://www.pretenshn.com/mediawiki/index.php/File:5.Sequences_%26_Series_Ch7.ppt TAM - Arithmetic and geometric]

[http://www.pretenshn.com/mediawiki/index.php/File:Identify_which_are_arithmetic_series_or_geometric_series.pdf Identify arithmetic or geometric series]

[http://nrich.maths.org/1418 Nrich - proof of sum of AP]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==

Help:Contents

2014-07-14T09:01:42Z

IDI: /* Linking */

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
An '''External''' link goes to another website elsewhere on the internet. An '''Internal''' link is to another page on this wiki, or to an uploaded file. It's good to use internal links to uploaded files, because that way the wiki can keep track of which files haven't be used (at [[Special:UnusedFiles]]).

=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything after "index.php/" in your browser's address bar.
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>
* Even better if: instead of writing File you put Media, because then the link will open the file directly rather than taking you to another page first...
<pre>[[Media:SU4.pdf|Standards unit activity 4]]</pre>

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

Help:Contents

2014-07-14T09:01:18Z

IDI: /* Linking */

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
An '''External''' link goes to another website elsewhere on the internet. An '''Internal''' link is to another page on this wiki, or to an uploaded file. It's good to use internal links to uploaded files, because that way the wiki can keep track of which files haven't be used (at [[Special:Unused Files]].

=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything after "index.php/" in your browser's address bar.
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>
* Even better if: instead of writing File you put Media, because then the link will open the file directly rather than taking you to another page first...
<pre>[[Media:SU4.pdf|Standards unit activity 4]]</pre>

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

C2 Algebra and Functions

2014-07-14T08:58:46Z

IDI: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*Simple algebraic division
*Use of the Factor Theorem
*Use of the Remainder Theorem
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:A11.pdf|Factorising cubics]]

[[Media:3.Polynomials_Ch3.pptx|TAM - Dividing polynomials]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

C2 Trigonometry

2014-07-14T08:57:41Z

IDI: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*The sine and cosine rules.
*Area of a triangle <math>= \frac{1}{2}ab\sin{C}</math>.
*Radian measure, including use for arc length and area of sector.
*Unit circle. Exact values.
*Sine, cosine and tangent functions. Their graphs, symmetries and periodicity.
*Knowledge and use of <math>\tan{x} = \frac{\sin{x}}{\cos{x}}</math> and <math>\sin^2{\theta}+\cos^2{\theta}=1</math>.
*Solution of simple trigonometric equations in a given interval.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:A12.pdf|Standards unit - Trig graphs]]

[[Media:Arcs_and_sectors_treasure_hunt.docx|Arcs and sectors treasure hunt]]

[http://www.pretenshn.com/mediawiki/index.php/Special:Upload Good question finding area of triangle] - link broken

[[Media:8.Trigonometry_Ch10.pptx|TAM - Trig - including radians and graphs]]

[http://nrich.maths.org/6481 Nrich - transformations of y = sinx]

[[Media:Trigonometry_Cards.doc|Trig questions on cards with answers]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==

C2 Trigonometry

2014-07-14T08:56:45Z

IDI: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*The sine and cosine rules.
*Area of a triangle <math>= \frac{1}{2}ab\sin{C}</math>.
*Radian measure, including use for arc length and area of sector.
*Unit circle. Exact values.
*Sine, cosine and tangent functions. Their graphs, symmetries and periodicity.
*Knowledge and use of <math>\tan{x} = \frac{\sin{x}}{\cos{x}}</math> and <math>\sin^2{\theta}+\cos^2{\theta}=1</math>.
*Solution of simple trigonometric equations in a given interval.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:A12.pdf|Standards unit - Trig graphs]]

[[Media:Arcs_and_sectors_treasure_hunt.docx|Arcs and sectors treasure hunt]]

[http://www.pretenshn.com/mediawiki/index.php/Special:Upload Good question finding area of triangle]

[[Media:8.Trigonometry_Ch10.pptx|TAM - Trig - including radians and graphs]]

[http://nrich.maths.org/6481 Nrich - transformations of y = sinx]

[[Media:Trigonometry_Cards.doc|Trig questions on cards with answers]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==

S1 Representation and Summary

2014-07-14T08:54:53Z

IDI: /* Preparation */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[Media:Statistics_glossary.docx|Statistics glossary]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV activity on histograms]]

[[Media:Climate_data_UK.xlsx|Sample data]]

[[Media:S1_Coding.ppt|Powerpoint - Coding]]

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

S1 Representation and Summary

2014-07-14T08:54:17Z

IDI: /* Notes */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[File:Statistics_glossary.docx]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV activity on histograms]]

[[Media:Climate_data_UK.xlsx|Sample data]]

[[Media:S1_Coding.ppt|Powerpoint - Coding]]

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

M1 Misc

2014-07-14T08:14:20Z

IDI: Created page with " Practical activities"

[[Media:Practical%2BMechanics%2BActivities.pdf|Practical activities]]

File:Practical+Mechanics+Activities.pdf

2014-07-14T08:13:56Z

IDI: Practical activities

Practical activities

M1

2014-07-14T08:13:28Z

IDI:

==[[M1 Dynamics|Dynamics]]==
{{:M1 Dynamics}}

==[[M1 Kinematics|Kinematics]]==
{{:M1 Kinematics}}

==[[M1 Moments|Moments]]==
{{:M1 Moments}}

==[[M1 Statics|Statics]]==
{{:M1 Statics}}

==[[M1 Vectors|Vectors]]==
{{:M1 Vectors}}

==[[M1 Revision|Revision]]==

==[[M1 Misc|Miscellaneous]]==

[[Category: Module]]

M1

2014-07-14T08:12:45Z

IDI:

M1 Kinematics

2014-07-14T08:12:16Z

IDI: /* Homework */

Part of [[M1]]
== Objectives ==
<onlyinclude>
*Motion in a straight line with constant acceleration
*Distance, velocity and speed-time graphs
</onlyinclude>
== Preparation ==
== Supporting activities ==

http://prezi.com/h6t8rbmws3uz/mechanics-1-kinematics/?kw=view-h6t8rbmws3uz&rc=ref-27872125

[[File:M1_kinemtaics_prezi.docx]]

== Consolidation ==
== Homework ==

[[File:M1_Kinematics_HW.pdf]]

[[Media:Vertical_motion.pdf|Vertical motion]]

== Key questions ==
== Assessment ==

[[File:M1_kinematics_exam_Qs.docx]]

== Notes ==

File:Vertical motion.pdf

2014-07-14T08:11:55Z

IDI: Vertical motion questions

Vertical motion questions

M1 Statics

2014-07-14T08:10:51Z

IDI: /* Preparation */

Part of [[M1]]
== Objectives ==
<onlyinclude>
*Forces treated as vectors. Resolution of forces
*Equilibrium of a particle under coplanar forces
*Weight, normal reaction, tension and thrust, friction
*Coefficient of friction
</onlyinclude>
== Preparation ==

[[Media:Videos_to_watch_Mechanics.pdf|Videos to watch]]

== Supporting activities ==

[[File:4)_M1_Statics_of_a_Particle.pptx]]

== Consolidation ==
== Homework ==

[[File:4)_M1_Statics_of_a_Particle_Questions.docx]]

== Key questions ==
== Assessment ==
== Notes ==

File:Videos to watch Mechanics.pdf

2014-07-14T08:10:24Z

IDI: Preparatory videos for statics

Preparatory videos for statics

C1 Algebra and Functions

2014-07-11T14:11:17Z

IDI: /* Homework */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[Media:SU10_-_surds_domino_game.pdf]]

[[Media:Indices_qs.pdf|Indices questions and answers]]

[[Media:Index_Rule_Biingo.ppt|Index Rule Bingo]]

[[Media:N12.pdf|Standards unit Indices]]

[[Media:4._Indices_%26_Proof_Ch5%266.pptx|TAM - Indices, surds, proof]]

[http://nrich.maths.org/901 Nrich - Surds question]

[http://nrich.maths.org/7448 Nrich - Surds question2]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

[[Media:C1_Linking_the_properties_and_forms_of_quadratic_functions.pdf|Exploring quadratics]]

[[Media:REAL_ROOTS.docx|Real roots]]

[[Media:KS5_event_-_activity_to_share.docx|Fun activity to explore graphs and transformations]]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

[[Media:1.Basic_Algebra_Ch1%264.pptx|TAM - Quadratics, simultaneous equations, inequalities]]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[Media:C1_Discriminant_Exercise_HW.docx|Discriminants]]

[[Media:C1_Different_Types_of_Quadratics_HW.docx|Types of quadratic]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

C1 Algebra and Functions

2014-07-11T14:10:59Z

IDI: /* Homework */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[Media:SU10_-_surds_domino_game.pdf]]

[[Media:Indices_qs.pdf|Indices questions and answers]]

[[Media:Index_Rule_Biingo.ppt|Index Rule Bingo]]

[[Media:N12.pdf|Standards unit Indices]]

[[Media:4._Indices_%26_Proof_Ch5%266.pptx|TAM - Indices, surds, proof]]

[http://nrich.maths.org/901 Nrich - Surds question]

[http://nrich.maths.org/7448 Nrich - Surds question2]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

[[Media:C1_Linking_the_properties_and_forms_of_quadratic_functions.pdf|Exploring quadratics]]

[[Media:REAL_ROOTS.docx|Real roots]]

[[Media:KS5_event_-_activity_to_share.docx|Fun activity to explore graphs and transformations]]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

[[Media:1.Basic_Algebra_Ch1%264.pptx|TAM - Quadratics, simultaneous equations, inequalities]]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[Media:C1_Discriminant_Exercise_HW.docx]]

[[Media:C1_Different_Types_of_Quadratics_HW.docx]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

C1 Algebra and Functions

2014-07-11T14:10:40Z

IDI: /* Algebra */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[Media:SU10_-_surds_domino_game.pdf]]

[[Media:Indices_qs.pdf|Indices questions and answers]]

[[Media:Index_Rule_Biingo.ppt|Index Rule Bingo]]

[[Media:N12.pdf|Standards unit Indices]]

[[Media:4._Indices_%26_Proof_Ch5%266.pptx|TAM - Indices, surds, proof]]

[http://nrich.maths.org/901 Nrich - Surds question]

[http://nrich.maths.org/7448 Nrich - Surds question2]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

[[Media:C1_Linking_the_properties_and_forms_of_quadratic_functions.pdf|Exploring quadratics]]

[[Media:REAL_ROOTS.docx|Real roots]]

[[Media:KS5_event_-_activity_to_share.docx|Fun activity to explore graphs and transformations]]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

[[Media:1.Basic_Algebra_Ch1%264.pptx|TAM - Quadratics, simultaneous equations, inequalities]]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[File:C1_Discriminant_Exercise_HW.docx]]

[[File:C1_Different_Types_of_Quadratics_HW.docx]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

C1 Algebra and Functions

2014-07-11T14:10:16Z

IDI: /* Quadratic functions */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[Media:SU10_-_surds_domino_game.pdf]]

[[Media:Indices_qs.pdf|Indices questions and answers]]

[[Media:Index_Rule_Biingo.ppt|Index Rule Bingo]]

[[Media:N12.pdf|Standards unit Indices]]

[[Media:4._Indices_%26_Proof_Ch5%266.pptx|TAM - Indices, surds, proof]]

[http://nrich.maths.org/901 Nrich - Surds question]

[http://nrich.maths.org/7448 Nrich - Surds question2]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

[[Media:C1_Linking_the_properties_and_forms_of_quadratic_functions.pdf|Exploring quadratics]]

[[Media:REAL_ROOTS.docx|Real roots]]

[[Media:KS5_event_-_activity_to_share.docx|Fun activity to explore graphs and transformations]]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

[http://www.pretenshn.com/mediawiki/index.php/File:1.Basic_Algebra_Ch1%264.pptx TAM - Quadratics, simultaneous equations, inequalities]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[File:C1_Discriminant_Exercise_HW.docx]]

[[File:C1_Different_Types_of_Quadratics_HW.docx]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

C1 Algebra and Functions

2014-07-11T14:09:22Z

IDI: /* Indices and surds */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[Media:SU10_-_surds_domino_game.pdf]]

[[Media:Indices_qs.pdf|Indices questions and answers]]

[[Media:Index_Rule_Biingo.ppt|Index Rule Bingo]]

[[Media:N12.pdf|Standards unit Indices]]

[[Media:4._Indices_%26_Proof_Ch5%266.pptx|TAM - Indices, surds, proof]]

[http://nrich.maths.org/901 Nrich - Surds question]

[http://nrich.maths.org/7448 Nrich - Surds question2]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

[http://www.pretenshn.com/mediawiki/index.php/File:C1_Linking_the_properties_and_forms_of_quadratic_functions.pdf Exploring quadratics]

[http://www.pretenshn.com/mediawiki/index.php/File:REAL_ROOTS.docx Real roots]

[http://www.pretenshn.com/mediawiki/index.php/File:KS5_event_-_activity_to_share.docx Fun activity to explore graphs and transformations]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

[http://www.pretenshn.com/mediawiki/index.php/File:1.Basic_Algebra_Ch1%264.pptx TAM - Quadratics, simultaneous equations, inequalities]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[File:C1_Discriminant_Exercise_HW.docx]]

[[File:C1_Different_Types_of_Quadratics_HW.docx]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

C1 Revision

2014-07-11T14:06:29Z

IDI:

[http://www.pretenshn.com/mediawiki/index.php/Special:Upload The big 50 - C1]

[[Media:C1_Maths_Challenge.docx|C1 maths challenge]]

C1 Revision

2014-07-11T14:06:14Z

IDI: Created page with "[http://www.pretenshn.com/mediawiki/index.php/Special:Upload The big 50 - C1] C1 maths challenge"

[http://www.pretenshn.com/mediawiki/index.php/Special:Upload The big 50 - C1]

[[File:C1_Maths_Challenge.docx|C1 maths challenge]]

C1

2014-07-11T14:05:36Z

IDI: /* Revision */

==[[C1 Algebra and Functions|Algebra and Functions]]==
{{:C1 Algebra and Functions}}

==[[C1 Coordinate Geometry|Coordinate Geometry]]==
{{:C1 Coordinate Geometry}}

==[[C1 Differentiation|Differentiation]]==
{{:C1 Differentiation}}

==[[C1 Integration|Integration]]==
{{:C1 Integration}}

==[[C1 Sequences|Sequences and Series]]==
{{:C1 Sequences}}

==[[C1 Revision|Revision]]==

[[Category: Module]]

Help:Contents

2014-07-11T08:34:14Z

IDI: /* Internal */

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything after "index.php/" in your browser's address bar.
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>
* Even better if: instead of writing File you put Media, because then the link will open the file directly rather than taking you to another page first...
<pre>[[Media:SU4.pdf|Standards unit activity 4]]</pre>

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

S1 Normal Distribution

2014-07-11T08:32:39Z

IDI: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*The Normal distribution including the mean, variance and use of tables of the cumulative distribution function
*Knowledge of the shape and the symmetry of the distribution. Questions may involve the solution of simultaneous equations
</onlyinclude>
== Preparation ==
== Supporting activities ==
[[Media:Jelly_beans_activity_print_version.pdf|Jelly Beans activity]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

Help:Contents

2014-07-11T08:29:32Z

IDI:

Everything you need to get started on one page!

If you want somewhere to experiment, you could make your own page by clicking on your name up on the right there.<math>\large{\uparrow}</math>

== Linking ==
=== External ===
If you want to link to another website, just write it, including http.

For example: http://www.google.co.uk

'''Tip''': If you want different text, put single square brackets around it and what you want to see, like [http://www.google.co.uk Search]
<pre>[http://www.google.co.uk Search]</pre>

=== Internal ===
To link to another page on the scheme of work, use double square brackets around the title of the page.

For example: [[Main Page]]
<pre>[[Main Page]]</pre>

'''Tips'''
* The title of a page is everything after "index.php/" in your browser's address bar.
* If the page doesn't exist yet, the link will be red. If you think the page should already exist, check you've written the title properly. If you want to create the page, just click on the red link and you'll be prompted to create a new page.
* It doesn't make any difference whether you use spaces or underscores between words in an internal link.
* If you want different text to appear for the link, put it after a '|' in the brackets, like this: [[Main Page|Main]]
<pre>[[Main Page|Main]]</pre>
* This works if you uploaded a file, too. The title will start "File:". So whenever you've uploaded a file, copy the address after "index.php/" so that you can just paste it again when you want to link to it.
<pre>[[File:SU4.pdf|Standards unit activity 4]]</pre>

== Maths ==
Just the things you'll use most often!

To enter formulae and symbols, click the root n button when you're editing.

=== Fractions ===
<math>\frac{1}{2}=\frac{2}{4}</math>
<pre><math>\frac{1}{2}=\frac{2}{4}</math></pre>

'''Tip''': You don't need to do anything special for the equals sign.

=== Powers ===
<math>x^2 = x^{\frac{4}{2}}</math>
<pre><math>x^2 = x^{\frac{4}{2}}</math></pre>

'''Tip''': If you're just doing a simple power, you don't need braces. If you're doing something more complicated, you do.

=== Subscripts ===
<math>a_n = a_1 + (n-1)d</math>
<pre><math>a_n = a_1 + (n-1)d</math></pre>

=== Roots ===
<math>\sqrt{x} \geq \sqrt[3]{y}</math>
<pre><math>\sqrt{x} \geq \sqrt[3]{y}</math></pre>

=== Brackets ===
You don't need to do anything special for normal brackets [], braces {} or parentheses (), unless you need them to grow to fit their contents, like this:

<math>\left[\dfrac{x^3}{3}+x\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math>

<pre><math>\left[\dfrac{x^3}{3}\right]_1^5=\left(\frac{125}{3}+5\right)-\left(\frac{1}{3}+1\right)</math></pre>

=== Integrals ===
'''Indefinite'''

<math>\int x^2 dx = \frac{x^3}{3}+c</math>
<pre><math>\int x^2 dx = \frac{x^3}{3}+c</math></pre>

'''Definite''' - use a subscript and a superscript for the limits

<math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math>
<pre><math>\int_{0}^{\pi} \sin{\theta}d\theta = [-\cos{\theta}]_{0}^{\pi}</math></pre>

=== Sums ===
Work the same as integrals

<math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math>
<pre><math>\sum_{r=1}^{n}r=\frac{n(n+1)}{2}</math></pre>

=== Other stuff ===
* <math>\pm</math> is <nowiki>\pm</nowiki>
* <math>\mp</math> is <nowiki>\mp</nowiki>
* <math>\pi</math> is <nowiki>\pi</nowiki>
* <math>\infty</math> is <nowiki>\infty</nowiki>
* <math>\times</math> is <nowiki>\times</nowiki>
* <math>\div</math> is <nowiki>\div</nowiki>
* < and > work normally
* <math>\leq</math> and <math>\geq</math> are <nowiki>\leq and \geq</nowiki>
* <nowiki>\sin{x}</nowiki> gets you <math>\sin{x}</math>, which is nicer than <math>sin x</math>
* That works for any trig ratio except cosec because Americans use csc. Typical
* If you want something else, [http://www.sunilpatel.co.uk/latex-type/latex-math-symbols/ try here]

== Formatting ==

Line breaks are funny. If you want a line break you need to use a blank line.

If you want a new paragraph use two blank lines.

=== Bold and italics ===
''Italics'' go in double apostrophes, '''bold''' goes in triple. (There are buttons though so you don't have to memorize that.)

=== Lists ===
* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this
<pre>* Bullet lists are easy
* Just start each line with an asterisk
** And use two if you want a sublist
** Like this</pre>

# Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant

<pre># Numbered lists are easy too
# Use hash signs instead of asterisks
## The numbering happens automatically
## Brilliant</pre>

=== Headings ===
Most pages already have headings and subheadings so you won't really need this unless you're making new pages.

The 'Formatting' heading above, was made like this:
<pre>== Formatting ==</pre>
Three equal signs would make a subheading. Four make a subsubheading, and so on.

=== Further Details ===

[http://www.mediawiki.org/wiki/Help:Links How to link to other sites or to other pages on the wiki]

[http://www.mediawiki.org/wiki/Help:Formatting How to format text, make lists and create sections and subsections]

[[Help:Maths|How to create mathematical formulae and equations]]

S1 Normal Distribution

2014-07-11T08:27:06Z

IDI: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*The Normal distribution including the mean, variance and use of tables of the cumulative distribution function
*Knowledge of the shape and the symmetry of the distribution. Questions may involve the solution of simultaneous equations
</onlyinclude>
== Preparation ==
== Supporting activities ==
[[File:Jelly_beans_activity_print_version.pdf|Jelly Beans activity]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

File:FMSP 07.05.pptx

2014-07-11T08:17:54Z

IDI:

File:AS Maths Revision.doc

2014-07-11T08:16:40Z

IDI:

C1 Quadratic Formula Proof

2014-07-01T09:38:34Z

IDI:

<math>
\begin{aligned}
\text{The general quadratic}&&
ax^2+bx+c&=0\\
\text{Divide through by }a&&
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
\text{Complete the square}&&
\left(x+\frac{1}{2}\frac{b}{a}x\right)^2-\left(\frac{1}{2}\frac{b}{a}\right)^2+\frac{c}{a}&=0\\
\text{Simplify}&&
\left(x+\frac{b}{2a}x\right)^2-\frac{b^2}{4a^2}+\frac{c}{a}&=0\\
\text{Rearrange}&&
\left(x+\frac{b}{2a}\right)^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
\text{Combine fractions}&&
\left(x+\frac{b}{2a}\right)^2&=\frac{b^2-4ac}{4a^2}\\
\text{Square root}&&
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
\text{Simplify}&&
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
\text{Rearrange}&&
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
\text{Combine fractions}&&
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:37:05Z

IDI:

<math>
\begin{aligned}
\text{The general quadratic}&&
ax^2+bx+c&=0\\
\text{Divide through by }a&&
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
\text{Complete the square}&&
\left(x+\frac{1}{2}\frac{b}{a}x\right)^2-\left(\frac{1}{2}\frac{b}{a}\right)^2+\frac{c}{a}&=0\\
\text{Rearrange}&&
\left(x+\frac{b}{2a}\right)^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
\text{Combine fractions}&&
\left(x+\frac{b}{2a}\right)^2&=\frac{b^2-4ac}{4a^2}\\
\text{Square root}&&
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
\text{Simplify}&&
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
\text{Rearrange}&&
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
\text{Combine fractions}&&
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:35:57Z

IDI:

<math>
\begin{aligned}
\text{The general quadratic}&&
ax^2+bx+c&=0\\
\text{Divide through by }a&&
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
\text{Complete the square}&&
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
\text{Rearrange}&&
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
\text{Combine fractions}&&
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
\text{Square root}&&
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
\text{Simplify}&&
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
\text{Rearrange}&&
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
\text{Combine fractions}&&
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:33:20Z

IDI:

<math>
\begin{aligned}
\text{The general quadratic}&&ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0&&\text{divide through by }a\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:32:22Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0&&\text{the general quadratic}\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0&&\text{divide through by }a\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:30:07Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:29:52Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:28:59Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}{2a}}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:28:33Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}{2a}}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:27:40Z

IDI:

<math>
\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:26:46Z

IDI:

<math>\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\\
\end{aligned}</math>

C1 Quadratic Formula Proof

2014-07-01T09:26:37Z

IDI: Created page with "<math>{\begin{aligned} ax^2+bx+c&=0\\ x^2+\frac{b}{a}x+\frac{c}{a}&=0\\ (x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\ (x+\frac{b}{2a})^2&=\frac{b^2..."

<math>{\begin{aligned}
ax^2+bx+c&=0\\
x^2+\frac{b}{a}x+\frac{c}{a}&=0\\
(x+\frac{1}{2}\frac{b}{a}x)^2-(\frac{1}{2}\frac{b}{a})^2+\frac{c}{a}&=0\\
(x+\frac{b}{2a})^2&=\frac{b^2}{4a^2}-\frac{c}{a}\\
(x+\frac{b}{2a})^2&=\frac{b^2-4ac}{4a^2}\\
x+\frac{b}{2a}&=\pm\sqrt{\frac{b^2-4ac}{4a^2}}\\
x+\frac{b}{2a}&=\frac{\pm\sqrt{b^2-4ac}}{2a}}\\
x&=\frac{\pm\sqrt{b^2-4ac}}{2a}}-\frac{b}{2a}\\
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\\
\end{aligned}}</math>

C1 Algebra and Functions

2014-07-01T08:57:48Z

IDI: /* Notes */

Part of [[C1]]
== Objectives ==
<onlyinclude>
=== Indices and surds ===
* Know the laws of indices for all rational exponents.
* Know how to simplify surds and rationalise the denominator.
* Evaluate fractional indices.
=== Quadratic functions ===
* Manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation; (use of the Factor Theorem not required in C1).
* Quadratic functions and their graphs. The discriminant of a quadratic function.
* Solution of quadratic equations by factorisation, formula and completing the square.

=== Algebra ===
* Solution of simultaneous equations. Analytical solution by substitution.
* Solution of linear and quadratic inequalities.
* Graphs of functions; sketching curves defined by simple equations.
* Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
* Knowledge of the effect of simple transformations on the graph <math>y=f(x)</math> as represented by <math>y = af(x)</math>, <math>y = f(x) + a</math>, <math>y = f(x+a)</math>, and <math>y = f(ax)</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Indices and surds ===
Reaching the Core - Indices and Surds

[https://www.dropbox.com/s/d0icuozuyb1azke/SU10%20-%20surds%20domino%20game.pdf SU10 Surds Dominos]

[https://www.dropbox.com/s/a41ttxgx3i9clg3/SU17%20-%20indices%20match-up%20game.pdf SU17 Indices Matching]

[http://www.s253053503.websitehome.co.uk/risps/risp35.html Risp 35 - Index triples]

[[File:SU10_-_surds_domino_game.pdf]]

=== Quadratic functions ===
[https://www.dropbox.com/s/kwuk6cq5n191005/SU6.pdf SU6 Quadratics]

[http://www.s253053503.websitehome.co.uk/risps/risp3.html Risp 3 - Brackets in; brackets out]

[https://www.dropbox.com/s/o9j02ayivb4q6ie/C1%20Linking%20the%20properties%20and%20forms%20of%20quadratic%20functions.pdf ILIM C1 Forms of functions]

=== Algebra ===
[http://www.s253053503.websitehome.co.uk/risps/risp8.html Risp 8 - Arithmetic simultaneous equations]

[https://www.dropbox.com/sh/iejb8pm4ze999y7/Un378qmnKb ILIM A11 Factorising Cubics]

[https://www.dropbox.com/s/fuf4hbn0poabwm2/SU16.pdf SU16 Exploring Functions]

== Consolidation ==
== Homework ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1Quadratics%5ESTOKENEW&mode=load Quadratics past paper questions]

[[File:C1_Discriminant_Exercise_HW.docx]]

[[File:C1_Different_Types_of_Quadratics_HW.docx]]

== Key questions ==
Simplify <math>\frac{1}{1-\sqrt{5}}</math>

== Assessment ==
[http://www.mathsnetalevel.com/printexam.php?ref=C1&saveas=C1AlgebraSurdsIndicesTest-First+formal%5ESTOKENEW&mode=load Algebra and Functions unit test]

== Notes ==
[[C1 Quadratic Formula Proof]]

[[Category:Unit]]

Schedules 2014 - 15

2014-06-18T09:22:45Z

IDI: Created page with "==Year 12== ===Maths=== 121.1 121.2 122 124 ===Further Maths=== 125 ==Year 13== ===Maths=== 131..."

==Year 12==
===Maths===
[[1211_1415|121.1]] [[1212_1415|121.2]] [[122_1415|122]] [[124_1415|124]]
===Further Maths===
[[125_1415|125]]
==Year 13==
===Maths===
[[131_1415|131]] [[132_1415|132]] [[133_1415|133]]
===Further Maths===
[[135_1415|135]]

D1 Route Inspection

2014-06-18T08:58:08Z

IDI: /* Notes */

Part of [[D1]]
== Objectives ==
<onlyinclude>
*Algorithm for finding the shortest route around a network, travelling along every edge at least once and ending at the start vertex. The network will have up to four odd nodes
</onlyinclude>

== Preparation ==
== Supporting activities ==
== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Consider all pairings of odd nodes by inspection.

D1 Route Inspection

2014-06-18T08:57:50Z

IDI: /* Objectives */