KS5 Mathematics - User contributions [en-gb]

C1 Differentiation

2014-11-18T12:31:05Z

Ian: /* Supporting activities */

Part of [[C1]]
== Objectives ==
<onlyinclude>
*The derivative of <math>f(x)</math> as the gradient of the tangent to the graph of <math>y = f(x)</math> at a point.
*Definition of derivative as limit.
*Interpretation as a rate of change.
*Second derivative.
*Applications of differentiation to gradients, tangents and normals.
</onlyinclude>
== Preparation ==
== Supporting activities ==
[http://www.s253053503.websitehome.co.uk/risps/risp36.html Risp 36 First steps into differentiation]

[[File:C1_tangents_worksheet.docx]]

[http://www.pretenshn.com/mediawiki/index.php/File:A14.pdf Standards unit Exploring equations in parametric form]

[http://www.pretenshn.com/mediawiki/index.php/File:C3.pdf Standards unit Matching functions and derivatives]

[http://www.pretenshn.com/mediawiki/index.php/File:6.Differentiation_Ch8%2612.pptx TAM - Differentiation]

== Consolidation ==

== Homework ==

[[File:C1_Simplifying_Polynomials_%26_Differentiating_HW.docx]]

== Key questions ==
=== Quadratics ladder ===
# <math>y=x^2+2x+5</math>. What are <math>y</math> and <math>\frac{dy}{dx}</math> when <math>x=3</math>?
# <math>y=x^2-6x+9</math>. What are <math>x</math> and <math>\frac{dy}{dx}</math> when <math>y=1</math>?
# <math>y=x^2+2x-35</math>. What are <math>x</math> and <math>y</math> when <math>\frac{dy}{dx}=4</math>?
# <math>C:\,y=x^2-x-6</math>. Find an equation for the tangent <math>l</math> to <math>C</math> at the point <math>P</math> whose <math>x</math>-coordinate is <math>5</math>.
# <math>C:\,y=3x^2-5x-10</math>. Point <math>P</math> is on <math>C</math>, where <math>x=-3</math>. Find the coordinates of <math>Q</math>, where the normal to <math>C</math> at <math>P</math> intersects <math>C</math> again.

== Assessment ==

S1 Revision

2014-10-16T13:46:56Z

Ian:

Part of [[S1]]

[[Media:The_Big_50_Revision_S1-1-.pdf| The big 50 - Revision]] - slightly out of date in some places. nCr not required. Biased/unbiased estimators of variance no longer required. Overkill re quantiles.

[http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of questions and solutions by topic on TES resources]

S1 Revision

2014-10-16T13:46:17Z

Ian:

Part of [[S1]]

[[Media:The_Big_50_Revision_S1-1-.pdf| The big 50 - Revision]] - slightly out of date in some places. Biased/unbiased estimators of variance no longer required. Overkill re quantiles.

[http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of questions and solutions by topic on TES resources]

S1 Revision

2014-10-16T13:45:47Z

Ian:

[[Media:The_Big_50_Revision_S1-1-.pdf| The big 50 - Revision]] - slightly out of date in some places. Biased/unbiased estimators of variance no longer required. Overkill re quantiles.

[http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of questions and solutions by topic on TES resources]

C1 Revision

2014-10-13T11:56:30Z

Ian:

[[Media:Big_50_C1.pdf|The big 50 for C1]]

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

File:Big 50 C1.pdf

2014-10-13T11:55:46Z

Ian: The Big 50 for C1

The Big 50 for C1

S2

2014-09-03T09:28:11Z

Ian:

__NOEDITSECTION__
==[[S2 Binomial and Poisson Distributions|Binomial and Poisson Distributions]]==
{{:S2 Binomial and Poisson Distributions}}
==[[S2 Continuous Distributions|Continuous Distributions]]==
{{:S2 Continuous Distributions}}
==[[S2 Continuous Random Variables|Continuous Random Variables]]==
{{:S2 Continuous Random Variables}}
==[[S2 Hypothesis Tests|Hypothesis Tests]]==
{{:S2 Hypothesis Tests}}
[[Category: Module]]

S1

2014-09-03T09:27:48Z

Ian:

S1

2014-09-03T09:27:16Z

Ian:

S1 Revision

2014-09-03T09:26:08Z

Ian: Created page with " The big 50 - Revision [http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of q..."

[[Media:The_Big_50_Revision_S1-1-.pdf| The big 50 - Revision]]

[http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of questions and solutions by topic on TES resources]

S1

2014-09-03T09:25:58Z

Ian:

S1

2014-09-03T09:25:34Z

Ian:

__NOEDITSECTION__
==[[S1 Correlation and Regression|Correlation and Regression]]==
{{:S1 Correlation and Regression}}

==[[S1 Discrete Random Variables|Discrete Random Variables]]==
{{:S1 Discrete Random Variables}}

==[[S1 Normal Distribution|Normal Distribution]]==
{{:S1 Normal Distribution}}

==[[S1 Probability|Probability]]==
{{:S1 Probability}}

==[[S1 Representation and Summary|Representation and Summary]]==
{{:S1 Representation and Summary}}

==[[S1 Revision]]==
{{:S1 Revision}}

[[Media:The_Big_50_Revision_S1-1-.pdf| The big 50 - Revision]]

[http://www.tes.co.uk/teaching-resource/A-level-Post-16-Statistics-Revision-Worksheets-6020114/ Selection of questions and solutions by topic on TES resources]

[[Category: Module]]

M3

2014-09-03T09:25:06Z

Ian:

__NOEDITSECTION__
==[[M3 Kinematics|Kinematics]]==
{{:M3 Kinematics}}
==[[M3 Elastic Strings and Springs|Elastic Strings and Springs]]==
{{:M3 Elastic Strings and Springs}}
==[[M3 Dynamics|Dynamics]]==
{{:M3 Dynamics}}
==[[M3 Motion in a Circle|Motion in a Circle]]==
{{:M3 Motion in a Circle}}
==[[M3 Statics|Statics]]==
{{:M3 Statics}}

[[Category: Module]]

M2

2014-09-03T09:24:53Z

Ian:

__NOEDITSECTION__
==[[M2 Centre of Mass|Centre of Mass]]==
{{:M2 Centre of Mass}}
==[[M2 Collisions|Collisions]]==
{{:M2 Collisions}}
==[[M2 Kinematics|Kinematics]]==
{{:M2 Kinematics}}
==[[M2 Statics|Statics]]==
{{:M2 Statics}}
==[[M2 Work, Energy and Power|Work, Energy and Power]]==
{{:M2 Work, Energy and Power}}

[[Category:Module]]

M1

2014-09-03T09:24:27Z

Ian:

__NOEDITSECTION__
==[[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]]

FP2

2014-09-03T09:24:06Z

Ian:

__NOEDITSECTION__
==[[FP2 1st Order Differential Equations|1st Order Differential Equations]]==
{{:FP2 1st Order Differential Equations}}

==[[FP2 2nd Order Differential Equations|2nd Order Differential Equations]]==
{{:FP2 2nd Order Differential Equations}}

==[[FP2 Complex Numbers|Complex Numbers]]==
{{:FP2 Complex Numbers}}

==[[FP2 Inequalities|Inequalities]]==
{{:FP2 Inequalities}}

==[[FP2 Polar Graphs|Polar Graphs]]==
{{:FP2 Polar Graphs}}

==[[FP2 Series|Series]]==
{{:FP2 Series}}

==[[FP2 Maclaurin and Taylor Series|Maclaurin and Taylor Series]]==
{{:FP2 Maclaurin and Taylor Series}}

[[Category: Module]]

FP1

2014-09-03T09:23:48Z

Ian:

__NOEDITSECTION__
==[[FP1 Complex Numbers|Complex Numbers]]==
{{:FP1 Complex Numbers}}

==[[FP1 Coordinate Geometry|Coordinate Geometry]]==
{{:FP1 Coordinate Geometry}}

==[[FP1 Matrices|Matrices]]==
{{:FP1 Matrices}}

==[[FP1 Numerical Methods|Numerical Methods]]==
{{:FP1 Numerical Methods}}

==[[FP1 Proof|Proof]]==
{{:FP1 Proof}}

==[[FP1 Series|Series]]==
{{:FP1 Series}}

[[Category: Module]]

D1 Revision

2014-09-03T09:23:15Z

Ian:

[[File:Revision_quiz_d1.pptx]]

[[File:Revision_quiz_-d1_q2.pptx]]

[[File:Revision_quiz_-d1.pdf]]

[[File:Revision_quiz_-_Mon.pdf]]

D1

2014-09-03T09:22:21Z

Ian:

__NOEDITSECTION__
==[[D1 Algorithms|Algorithms]]==
{{:D1 Algorithms}}
==[[D1 Critical Path Analysis|Critical Path Analysis]]==
{{:D1 Critical Path Analysis}}
==[[D1 Linear Programming|Linear Programming]]==
{{:D1 Linear Programming}}
==[[D1 Matchings|Matchings]]==
{{:D1 Matchings}}
==[[D1 Networks|Networks]]==
{{:D1 Networks}}
==[[D1 Route Inspection|Route Inspection]]==
{{:D1 Route Inspection}}
==[[D1 Revision|Revision]]==

[[Category: Module]]

D1

2014-09-03T09:21:59Z

Ian:

C4

2014-09-03T09:21:40Z

Ian:

__NOEDITSECTION__
==[[C4 Algebra and Functions|Algebra and Functions]]==
{{:C4 Algebra and Functions}}

==[[C4 Coordinate Geometry|Coordinate Geometry]]==
{{:C4 Coordinate Geometry}}

==[[C4 Differentiation|Differentiation]]==
{{:C4 Differentiation}}

==[[C4 Integration|Integration]]==
{{:C4 Integration}}

==[[C4 Sequences and Series|Sequences and Series]]==
{{:C4 Sequences and Series}}

==[[C4 Vectors|Vectors]]==
{{:C4 Vectors}}

[[Category: Module]]

C3

2014-09-03T09:21:25Z

Ian:

__NOEDITSECTION__
==[[C3 Algebra and Functions|Algebra and Functions]]==
{{:C3 Algebra and Functions}}

==[[C3 Differentiation|Differentiation]]==
{{:C3 Differentiation}}

==[[C3 Exponentials and Logarithms|Exponentials and Logarithms]]==
{{:C3 Exponentials and Logarithms}}

==[[C3 Numerical Methods|Numerical Methods]]==
{{:C3 Numerical Methods}}

==[[C3 Trigonometry|Trigonometry]]==
{{:C3 Trigonometry}}

[[Category: Module]]

C2

2014-09-03T09:21:10Z

Ian:

__NOEDITSECTION__
==[[C2 Algebra and Functions|Algebra and Functions]]==
{{:C2 Algebra and Functions}}

==[[C2 Coordinate Geometry|Coordinate Geometry]]==
{{:C2 Coordinate Geometry}}

==[[C2 Differentiation|Differentiation]]==
{{:C2 Differentiation}}

==[[C2 Logarithms|Exponentials and Logarithms]]==
{{:C2 Logarithms}}

==[[C2 Integration|Integration]]==
{{:C2 Integration}}

==[[C2 Sequences|Sequences and Series]]==
{{:C2 Sequences}}

==[[C2 Trigonometry|Trigonometry]]==
{{:C2 Trigonometry}}

==[[C2 Revision|Revision]]==

[[Category: Module]]

C1

2014-09-03T09:20:27Z

Ian:

__NOEDITSECTION__
==[[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]]

C2 Coordinate Geometry

2014-09-02T15:36:55Z

Ian: /* Objectives */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*Students must be familiar with the following circle properties:
**the angle in a semi-circle is a right-angle;
**the perpendicular from the centre to a chord bisects the chord;
**the perpendicularity of radius and tangent.
*Coordinate geometry of the circle using the equation of a circle in the form <math>(x-a)^2 + (y-b)^2 = r^2</math>
*Finding the equation of the tangent and normal to a circle.
</onlyinclude>

== Preparation ==
== Supporting activities ==
[[:File:SU1.pdf|SU1 Properties of straight lines]]

[[:File:SU2.pdf|SU2 Perpendicular bisectors]]

[[:File:SU4.pdf|SU4 Translations of circles]]

[http://www.pretenshn.com/mediawiki/index.php/File:C2_Coordinate_Geometry_Are_The_Times_Right_Radius.pptx Equations of circles]

== Consolidation ==

[http://www.pretenshn.com/mediawiki/index.php/File:Core2_circles_challenge.pdf Mixed questions - timed]

[http://www.pretenshn.com/mediawiki/index.php/File:C2_circle_recap_questions.docx Recap questions to ask on mini whiteboards]

[http://www.pretenshn.com/mediawiki/index.php/File:C2_circle_with_mini_boards.pptx Mini whiteboard questions]

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

S1 Normal Distribution

2014-07-09T09:02:09Z

Ian: /* 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 ==

S1 Normal Distribution

2014-07-09T09:00:56Z

Ian: /* 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]]

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

File:Jelly beans activity print version.pdf

2014-07-09T09:00:23Z

Ian: Good for normal distribution. Practical applications.

Good for normal distribution. Practical applications.

Modules

2014-07-08T09:25:45Z

Ian:

==== [[Bridging]] ====

=== Year 12 ===
==== Core ====
[[C1]]
[[C2]]
==== Applied ====
[[S1]]
[[M1]]
[[D1]]
==== Further ====
[[FP1]]
=== Year 13 ===
==== Core ====
[[C3]]
[[C4]]
==== Applied ====
[[S2]]
[[M2]]
[[M3]]

==== Further ====
[[FP2]]

Modules

2014-07-08T09:22:54Z

Ian:

=== Year 12 ===
==== Core ====
[[C1]]
[[C2]]
==== Applied ====
[[S1]]
[[M1]]
[[D1]]
==== Further ====
[[FP1]]
=== Year 13 ===
==== Core ====
[[C3]]
[[C4]]
==== Applied ====
[[S2]]
[[M2]]
[[M3]]

==== Further ====
[[FP2]]

==== [[Bridging]] ====

Initial assessment

2014-07-08T09:19:09Z

Ian:

#Write in surd form
##<math>\sqrt{48}</math>
##<math>\dfrac{15}{\sqrt{5}}</math>
##<math>\dfrac{1}{1+\sqrt{5}}</math>
#Work out
##<math>25^{\frac{3}{2}}</math>
##<math>16^{-\frac{1}{4}}</math>
#Simplify
##<math>\dfrac{x^3}{x^5}</math>
##<math>x(3x^\frac{1}{4})^4</math>
##<math>\dfrac{(x^2 y^{-1})^3}{x^3 y}</math>
#Make <math>r</math> the subject
##<math>p=\sqrt{9r+16}</math>
##<math>q=\dfrac{r+1}{r-1}</math>
#Solve these quadratic equations using a method of your choice
##<math>x^2+8x+7=0</math>
##<math>3x^2-7x+4=0</math>
#By 'completing the square', write these quadratic expressions in the form <math>a(x+b)^2+c</math>
##<math>x^2+10x-1</math>
##<math>3x^2+18x+10</math>
#Solve this pair of simultaneous equations
##<math>\begin{align}2x+y&=30\\x+2y&=27\end{align}</math>

Initial assessment

2014-07-08T09:18:28Z

Ian:

#Write in surd form
##<math>\sqrt{48}</math>
##<math>\dfrac{15}{\sqrt{5}}</math>
##<math>\dfrac{1}{1+\sqrt{5}}</math>
#Work out
##<math>25^{\frac{3}{3}}</math>
##<math>16^{-\frac{1}{4}}</math>
#Simplify
##<math>\dfrac{x^3}{x^5}</math>
##<math>x(3x^\frac{1}{4})^4</math>
##<math>\dfrac{(x^2 y^{-1})^3}{x^3 y}</math>
#Make <math>r</math> the subject
##<math>p=\sqrt{9r+16}</math>
##<math>q=\dfrac{r+1}{r-1}</math>
#Solve these quadratic equations using a method of your choice
##<math>x^2+8x+7=0</math>
##<math>3x^2-7x+4=0</math>
#By 'completing the square', write these quadratic expressions in the form <math>a(x+b)^2+c</math>
##<math>x^2+10x-1</math>
##<math>3x^2+18x+10</math>
#Solve this pair of simultaneous equations
##<math>\begin{align}2x+y&=30\\x+2y&=27\end{align}</math>

Initial assessment

2014-07-08T09:18:05Z

Ian: /* Initial Assessment */

=== Initial Assessment ===
#Write in surd form
##<math>\sqrt{48}</math>
##<math>\dfrac{15}{\sqrt{5}}</math>
##<math>\dfrac{1}{1+\sqrt{5}}</math>
#Work out
##<math>25^{\frac{3}{3}}</math>
##<math>16^{-\frac{1}{4}}</math>
#Simplify
##<math>\dfrac{x^3}{x^5}</math>
##<math>x(3x^\frac{1}{4})^4</math>
##<math>\dfrac{(x^2 y^{-1})^3}{x^3 y}</math>
#Make <math>r</math> the subject
##<math>p=\sqrt{9r+16}</math>
##<math>q=\dfrac{r+1}{r-1}</math>
#Solve these quadratic equations using a method of your choice
##<math>x^2+8x+7=0</math>
##<math>3x^2-7x+4=0</math>
#By 'completing the square', write these quadratic expressions in the form <math>a(x+b)^2+c</math>
##<math>x^2+10x-1</math>
##<math>3x^2+18x+10</math>
#Solve this pair of simultaneous equations
##<math>\begin{align}2x+y&=30\\x+2y&=27\end{align}</math>

MediaWiki:Common.css

2014-07-08T09:16:35Z

Ian:

/* CSS placed here will be applied to all skins */
@import url(http://fonts.googleapis.com/css?family=Chango);
@import url(http://fonts.googleapis.com/css?family=Droid+Serif);
@import url(http://fonts.googleapis.com/css?family=Raleway:500,700);
#content { font-family: Raleway,"Helvetica Neue",helvetica,sans-serif; font-size:120%;}
h1 { font-family: Chango,"Helvetica Neue",helvetica,sans-serif;}
h2, h3, h4, h5, h6 { font-family: "Droid Serif","Helvetica Neue",helvetica,sans-serif;}
.tocnumber { display: none; }
#left-navigation {display: none;}
#footer {display: none;}
ol ol {list-style-type: lower-alpha;}

Initial assessment

2014-07-08T09:10:04Z

Ian: Created page with "=== Initial Assessment === #Write in surd form ##<math>\sqrt{48}</math> ##<math>\dfrac{15}{\sqrt{5}}</math> ##<math>\dfrac{1}{1+\sqrt{5}}</math> #Work out ##<math>25^{\frac{3}..."

Bridging

2014-07-08T09:00:11Z

Ian:

[[Summer assignment]]

[[Initial assessment]]

Summer assignment

2014-07-08T08:59:52Z

Ian: /* Thinking mathematically */

=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Try all these questions. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula

==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\end{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem to investigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

S1 Correlation and Regression

2014-07-08T08:01:26Z

Ian: /* Notes */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==
== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-08T08:00:32Z

Ian:

Schedules 2014 - 15

2014-07-02T10:37:53Z

Ian:

==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]]

Schedules 2014 - 15

2014-07-02T10:36:53Z

Ian:

[[schedule template]]

==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]]

Summer assignment

2014-07-02T08:29:42Z

Ian:

=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Try all these questions. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula

==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\end{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

Summer assignment

2014-07-02T08:28:28Z

Ian:

=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Try all these questions. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula
==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\end{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

Summer assignment

2014-07-02T08:25:39Z

Ian:

=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Do these questions ready for your first lesson in September. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula
==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\end{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

Bridging

2014-07-02T08:24:28Z

Ian:

[[Summer assignment]]

Summer assignment

2014-07-02T08:24:08Z

Ian: Ian moved page Initial assessment to Summer assignment without leaving a redirect

== Maths Summer Assignment ==
=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Do these questions ready for your first lesson in September. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula
==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\end{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

Summer assignment

2014-07-02T08:22:56Z

Ian: /* Simultaneous Equations */

Summer assignment

2014-07-02T08:22:45Z

Ian: /* Simultaneous Equations */

== Maths Summer Assignment ==
=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Do these questions ready for your first lesson in September. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula
==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16\begin{align}</math>

=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

Summer assignment

2014-07-02T08:22:27Z

Ian: Created page with "== Maths Summer Assignment == === Part 1 === We need to make sure you've got some basic skills in place before you start. Do these questions ready for your first lesson in Sep..."

== Maths Summer Assignment ==
=== Part 1 ===
We need to make sure you've got some basic skills in place before you start. Do these questions ready for your first lesson in September. If you get stuck, you can try mymaths or Khan Academy for some help, or there's the summer school.

==== Fractions ====
*Work out <math>\frac{4}{5}-\frac{3}{4}</math>
*Work out <math>\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}</math>
*Write <math>\frac{30}{12}</math> as a mixed number
==== Basic Algebra ====
*Simplify <math>2a+3b+4c-5a+b-c</math>
*Find the value of <math>\dfrac{8(x-4)}{x^2}</math> when <math>x=6</math>
*Multiply out <math>(2x-3)(3x+5)</math>
*Factorise <math>2x^3+5x^2</math>
==== Indices ====
*Work out <math>8^\frac{2}{3}</math>
*Simplify <math>\dfrac{x^5}{x^2}</math>
==== Quadratics ====
*Solve <math>x^2-5x-14=0</math> by factorising
*Solve <math>3x^2+12x+1=0</math> using the quadratic formula
==== Simultaneous Equations ====
*Solve this pair of simultaneous equations <math>\begin{align}3x-4y&=18\\x+2y&=16</math>
=== Part 2 ===
==== Thinking mathematically ====
Here's your chance to show off. Choose one problem from to inestigate from each of these two lists:
*http://nrich.maths.org/8474
*http://nrich.maths.org/8476

Bring all your solutions, working out and notes to your first lesson in September.

MediaWiki:Print.css

2014-07-02T08:09:40Z

Ian:

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