KS5 Mathematics - User contributions [en-gb]

C2 Sequences and Series

2014-07-18T09:09:35Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialProbHexJigSol.pdf Tarsia - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:Binomial_Examples_from_Susan_Whitehouse.pdf Examples and questions - Binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:MImMOpHm4Fx27pg2mns2awJNESS5rR3gKIgo2EHdWpkc1Tlmn0zBcCSkrDj1jODn.pdf Powerpoint - binomial]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

File:MImMOpHm4Fx27pg2mns2awJNESS5rR3gKIgo2EHdWpkc1Tlmn0zBcCSkrDj1jODn.pdf

2014-07-18T09:09:04Z

KPA:

C2 Sequences and Series

2014-07-18T09:08:45Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialProbHexJigSol.pdf Tarsia - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:Binomial_Examples_from_Susan_Whitehouse.pdf Examples and questions - Binomial expansion]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

C2 Sequences and Series

2014-07-18T09:08:31Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialProbHexJigSol.pdf Tarsia - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:Binomial_Examples_from_Susan_Whitehouse.pdf - Examples and questions - Binomial expansion]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

File:Binomial Examples from Susan Whitehouse.pdf

2014-07-18T09:07:52Z

KPA:

C2 Sequences and Series

2014-07-18T09:07:28Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialProbHexJigSol.pdf Tarsia - binomial expansion]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

File:BinomialProbHexJigSol.pdf

2014-07-18T09:06:51Z

KPA:

C2 Sequences and Series

2014-07-18T09:06:26Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

C2 Sequences and Series

2014-07-18T09:06:13Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

[[http://www.pretenshn.com/mediawiki/index.php/File:Lock_binomial_expansion.pdf Binomial expansion - questions - unlock the code]]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

File:Lock binomial expansion.pdf

2014-07-18T09:05:18Z

KPA:

S1

2014-07-17T14:00:03Z

KPA: /* S1 Revision */

==[[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]]

S1

2014-07-17T13:59:41Z

KPA: /* S1 Revision */

S1

2014-07-17T13:59:14Z

KPA: /* S1 Revision */

==[[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]]

[[Category: Module]]

S1

2014-07-17T11:18:12Z

KPA: /* S1 Revision */

File:The Big 50 Revision S1-1-.pdf

2014-07-17T11:17:28Z

KPA:

S1

2014-07-17T11:15:43Z

KPA:

S1

2014-07-17T11:14:55Z

KPA:

S1 Representation and Summary

2014-07-17T11:13:32Z

KPA: /* Supporting activities */

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]]

[[Media:DescriptiveMatch.pdf| Key word description matching activity]]

== 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

2014-07-17T11:12:32Z

KPA: /* Supporting activities */

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]]

[[Media:DescriptiveMatch.pdf - Key word description matching activity]]

== 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

File:DescriptiveMatch.pdf

2014-07-17T11:11:41Z

KPA:

C2 Trigonometry

2014-07-11T09:34:07Z

KPA: /* 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 ==

[http://www.pretenshn.com/mediawiki/index.php/File:A12.pdf Standards unit - Trig graphs]

[http://www.pretenshn.com/mediawiki/index.php/File: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]

[http://www.pretenshn.com/mediawiki/index.php/File:8.Trigonometry_Ch10.pptx TAM - Trig - including radians and graphs]

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

[http://www.pretenshn.com/mediawiki/index.php/File:Trigonometry_Cards.doc Trig questions on cards with answers]

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

File:Trigonometry Cards.doc

2014-07-11T09:33:25Z

KPA:

C1 Algebra and Functions

2014-07-11T09:30:58Z

KPA: /* 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]

[[File:SU10_-_surds_domino_game.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:Indices_qs.pdf Indices questions and answers]

[http://www.pretenshn.com/mediawiki/index.php/File:Index_Rule_Biingo.ppt Index Rule Bingo]

[http://www.pretenshn.com/mediawiki/images/b/bd/N12.pdf Standards unit Indices]

[http://www.pretenshn.com/mediawiki/index.php/File: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]]

File:KS5 event - activity to share.docx

2014-07-11T09:29:59Z

KPA:

C1 Algebra and Functions

2014-07-11T09:24:27Z

KPA: /* 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]

[[File:SU10_-_surds_domino_game.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:Indices_qs.pdf Indices questions and answers]

[http://www.pretenshn.com/mediawiki/index.php/File:Index_Rule_Biingo.ppt Index Rule Bingo]

[http://www.pretenshn.com/mediawiki/images/b/bd/N12.pdf Standards unit Indices]

[http://www.pretenshn.com/mediawiki/index.php/File: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]

=== 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]]

File:REAL ROOTS.docx

2014-07-11T09:24:09Z

KPA:

C2 Integration

2014-07-11T09:22:44Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*Evaluation of definite integrals.
*Interpretation of the definite integral as the area under a curve.
*Approximation of area under a curve using the trapezium rule.
</onlyinclude>

== Preparation ==
== Supporting activities ==

[http://www.pretenshn.com/mediawiki/index.php/File:7.Integration_Ch9%2612.pptx TAM - Integration including area under curve and trapezium rule]

[http://www.pretenshn.com/mediawiki/index.php/File:Integration_of_area_above_and_below_the_x-axis.docx Area above and below x axis]

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

File:Integration of area above and below the x-axis.docx

2014-07-11T09:22:12Z

KPA:

C2 Coordinate Geometry

2014-07-11T09:20:09Z

KPA: /* Consolidation */

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;
**he 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 ==

File:C2 circle with mini boards.pptx

2014-07-11T09:19:40Z

KPA:

C2 Coordinate Geometry

2014-07-11T09:18:39Z

KPA: /* Consolidation */

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;
**he 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]

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

File:C2 circle recap questions.docx

2014-07-11T09:18:01Z

KPA:

C1

2014-07-11T09:17:26Z

KPA: /* 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]]

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

[http://www.pretenshn.com/mediawiki/index.php/File:C1_Maths_Challenge.docx C1 maths challenge]

File:C1 Maths Challenge.docx

2014-07-11T09:16:55Z

KPA:

C2 Sequences and Series

2014-07-11T09:15:31Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
=== Geometric Series ===
*Idea of a geometric series.
*The sum of a finite geometric series.
*The sum to infinity of a convergent geometric series, including the use of <math>|r| < 1</math>.
*Problems in context.
=== Binomial Expansion ===
*Expanding. Notation. Combinations.
*Binomial expansion of <math>(1+x)^n</math> for a positive integer <math>n</math>.
</onlyinclude>
== Preparation ==

[[File:Binomial_problems.pdf]] - Some introductory examples of why nCr is useful

== Supporting activities ==

[[File:Core_2_-_Binomial_Expansion_(Catchphrase).pptx]]

[[File:Binomial_-_matching_activity_-_finding_coefficients.docx]]

[[File:Truesometimesnever.ppt]]

[http://www.pretenshn.com/mediawiki/index.php/File:The_Sum_of_a_Geometric_Sequence.docx Sum of geometric series]

[http://www.pretenshn.com/mediawiki/index.php/File:3.Polynomials_Ch3.pptx TAM - Binomial expansion]

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

[http://nrich.maths.org/1398 Nrich - proof of sum of GP]

[http://www.pretenshn.com/mediawiki/index.php/File:Spot_the_mistake_to_Binomial_Expansions.docx Spot the mistakes - binomial expansion]

[http://www.pretenshn.com/mediawiki/index.php/File:BinomialC2pptx.pptx Binomial expansion - powerpoint]

== Consolidation ==

[[File:C1_and_C2_Series_Review_Treasure_Hunt.docx]]

== Homework ==

[[File:Geometric_series_activities.pdf]]

[[File:Binomial_expansion_HW.pdf]]

== Key questions ==
== Assessment ==

File:BinomialC2pptx.pptx

2014-07-11T09:14:58Z

KPA:

C2 Sequences and Series

2014-07-11T09:14:18Z

KPA: /* Binomial Expansion */

File:Spot the mistake to Binomial Expansions.docx

2014-07-11T09:13:42Z

KPA:

C2 Logarithms

2014-07-11T09:10:05Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*<math>y = a^x</math> and its graph.
*The laws of logarithms
*The solution of equations of the form <math>a^x = b</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[File:Log_proofs.doc]]

[[File:Tes-risp-31-1-.pdf]]

[[File:A13.pdf]]

[[File:Which_laws_of_logs_are_correct_cards-1-.pdf]]

[[File:Logarithms_-_spot_the_mistakes.pptx]]

[[File:Logarithms_Open_Questions.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:9.Logs_%26_Exponentials_Ch11.pptx TAM - Logs]

[http://www.pretenshn.com/mediawiki/index.php/File:Logarithms_-_Introduction.pptx Logs intro]

[http://www.pretenshn.com/mediawiki/index.php/File:Logarithms_-_Support_Activity.docx Logs support activity]

== Consolidation ==
== Homework ==

[[File:Logs_HW_-_solving_equations_and_creating_a_video.pptx]]

[[File:Log_laws_Worksheet.doc]]

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

File:Logarithms - Support Activity.docx

2014-07-11T09:09:44Z

KPA:

C2 Logarithms

2014-07-11T09:09:06Z

KPA: /* Supporting activities */

Part of [[C2]]
== Objectives ==
<onlyinclude>
*<math>y = a^x</math> and its graph.
*The laws of logarithms
*The solution of equations of the form <math>a^x = b</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[File:Log_proofs.doc]]

[[File:Tes-risp-31-1-.pdf]]

[[File:A13.pdf]]

[[File:Which_laws_of_logs_are_correct_cards-1-.pdf]]

[[File:Logarithms_-_spot_the_mistakes.pptx]]

[[File:Logarithms_Open_Questions.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:9.Logs_%26_Exponentials_Ch11.pptx TAM - Logs]

[http://www.pretenshn.com/mediawiki/index.php/File:Logarithms_-_Introduction.pptx Logs intro]

== Consolidation ==
== Homework ==

[[File:Logs_HW_-_solving_equations_and_creating_a_video.pptx]]

[[File:Log_laws_Worksheet.doc]]

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

File:Logarithms - Introduction.pptx

2014-07-11T09:08:45Z

KPA:

C2 Trigonometry

2014-07-11T08:51:55Z

KPA: /* 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 ==

[http://www.pretenshn.com/mediawiki/index.php/File:A12.pdf Standards unit - Trig graphs]

[http://www.pretenshn.com/mediawiki/index.php/File: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]

[http://www.pretenshn.com/mediawiki/index.php/File:8.Trigonometry_Ch10.pptx TAM - Trig - including radians and graphs]

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

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

C2 Sequences and Series

2014-07-11T08:48:17Z

KPA: /* Supporting activities */

C1 Sequences and Series

2014-07-11T08:47:29Z

KPA: /* 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 ==

[[File: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 ==

C1 Sequences and Series

2014-07-11T08:47:09Z

KPA: /* 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 ==

[[File: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 - sort proof of AP]

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

C1 Algebra and Functions

2014-07-11T08:45:41Z

KPA: /* 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]

[[File:SU10_-_surds_domino_game.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:Indices_qs.pdf Indices questions and answers]

[http://www.pretenshn.com/mediawiki/index.php/File:Index_Rule_Biingo.ppt Index Rule Bingo]

[http://www.pretenshn.com/mediawiki/images/b/bd/N12.pdf Standards unit Indices]

[http://www.pretenshn.com/mediawiki/index.php/File: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]

=== 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]]

C3 Exponentials and Logarithms

2014-07-11T08:38:28Z

KPA: /* Supporting activities */

Part of [[C3]]
== Objectives ==
<onlyinclude>
*The function <math>e^x</math> and its graph
*<math>\ln{x}</math> as the inverse function of <math>e^x</math>
*The function <math>\ln{x}</math> and its graph
</onlyinclude>

== Preparation ==
== Supporting activities ==

=== Use Excel to find <math>e</math> by trial-and-improvement ===
Students attempt to differentiate <math>2^x</math> from first principles. They find that the derivative is <math>lim_{h\rightarrow 0}2^x\frac{2^h-1}{h}</math>. They can set up a spreadsheet to investigate the behaviour of <math>\frac{2^h-1}{h}</math> for small <math>h</math>. Now try for <math>3^x</math>. What do you notice?

[http://www.pretenshn.com/mediawiki/index.php/File:A2_Exponentials_,_Natural_Logs.pptx TAM - Exponentials, natural logs]

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

File:A2 Exponentials , Natural Logs.pptx

2014-07-11T08:37:46Z

KPA:

C1 Algebra and Functions

2014-07-11T08:31:07Z

KPA: /* 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]

[[File:SU10_-_surds_domino_game.pdf]]

[http://www.pretenshn.com/mediawiki/index.php/File:Indices_qs.pdf Indices questions and answers]

[http://www.pretenshn.com/mediawiki/index.php/File:Index_Rule_Biingo.ppt Index Rule Bingo]

[http://www.pretenshn.com/mediawiki/images/b/bd/N12.pdf Standards unit Indices]

[http://www.pretenshn.com/mediawiki/index.php/File:4._Indices_%26_Proof_Ch5%266.pptx TAM - Indices, surds, proof]

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

=== 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]

=== 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]]