KS5 Mathematics - User contributions [en-gb]

C1 Integration

2014-01-12T23:25:01Z

YBE: /* Supporting activities */

Part of [[C1]]
== Objectives ==
<onlyinclude>
*Indefinite integration as the reverse of differentiation.
*Integration of <math>x^p</math> where <math>p</math> is rational, <math>p\neq-1</math>.
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[File:C1_Integration_Spot_The_Mistake_Starter.docx]]

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

File:C1 Integration Spot The Mistake Starter.docx

2014-01-12T23:24:24Z

YBE: Spot common integration mistakes made by students.

Spot common integration mistakes made by students.

C1 Algebra and Functions

2014-01-12T23:14:15Z

YBE: /* 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]

[[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 ==

[[Category:Unit]]

C1 Algebra and Functions

2014-01-12T23:13:50Z

YBE: /* 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]]

=== 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]

== 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 ==

[[Category:Unit]]

C1 Differentiation

2014-01-12T23:11:19Z

YBE: /* Homework */

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]]

== 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 ==

C1 Differentiation

2014-01-12T23:11:01Z

YBE: /* Consolidation */

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]]

== Consolidation ==

== Homework ==
== 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 ==

C1 Differentiation

2014-01-12T23:10:40Z

YBE: /* Consolidation */

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]]

== Consolidation ==

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

== Homework ==
== 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 ==

File:C1 Simplifying Polynomials & Differentiating HW.docx

2014-01-12T23:09:41Z

YBE: C1 Differentiation HW Matching Activity Consolidates power laws from Ch1 Then there is some basic differentiation with terms 'ready' to differentiate. Finally, use the expressions from the starter to differentiate polynomials in need of simplification ...

C1 Differentiation
HW Matching Activity
Consolidates power laws from Ch1 Then there is some basic differentiation with terms 'ready' to differentiate. Finally, use the expressions from the starter to differentiate polynomials in need of simplification first.

C1 Algebra and Functions

2014-01-12T22:29:23Z

YBE: /* 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]]

=== 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]

[[File:C1_Discriminant_Exercise_HW.docx]]

[[File:C1_Different_Types_of_Quadratics_HW.docx]]

=== 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]

== 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 ==

[[Category:Unit]]

C1 Algebra and Functions

2014-01-12T22:26:21Z

YBE: /* 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]]

=== 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]

[[File:C1_Discriminant_Exercise_HW.docx]]
[[File:C1_Different_Types_of_Quadratics_HW.docx]]

=== 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]

== 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 ==

[[Category:Unit]]

C1 Algebra and Functions

2014-01-12T22:25:59Z

YBE: /* 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]]

=== 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]

== 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 ==

[[Category:Unit]]

C1 Algebra and Functions

2014-01-12T22:24:48Z

YBE: /* 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.

[[File:C1_Discriminant_Exercise_HW.docx]]
[[File:C1_Different_Types_of_Quadratics_HW.docx]]

=== 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]

== 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 ==

[[Category:Unit]]

File:C1 Different Types of Quadratics HW.docx

2014-01-12T22:24:08Z

YBE: C1 Quadratics Functions HW Factorising, Solving & Sketching a set of quadratic functions.

C1 Quadratics Functions
HW Factorising, Solving & Sketching a set of quadratic functions.

C1 Algebra and Functions

2014-01-12T22:20:15Z

YBE: /* 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.

[[File:C1_Discriminant_Exercise_HW.docx]]

=== 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]

== 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 ==

[[Category:Unit]]

File:C1 Discriminant Exercise HW.docx

2014-01-12T22:19:06Z

YBE: C1 Quadratics Functions HW Sheet on understanding Discriminants

C1 Quadratics Functions
HW Sheet on understanding Discriminants

File:C1 Sketching Graphs 1 HW.pdf

2014-01-10T16:27:01Z

YBE: C1 Ch4 Sketching Graphs HW

C1 Ch4 Sketching Graphs HW

Class Codes

2013-09-25T18:25:32Z

YBE: