Completing the Square - Harder

Negative coefficient:

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core1/polynomials/Poly4CompletingSquareOH&taskID=2017

Completing the Square - Easier

Solving Exponential Equations that become Quadratic Equations

Solving Exponential Equations using Logs

Practice Questions:
http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/logs/logs3EquationsOH&taskID=2063

Solving log equations

Practice Questions:

Question 4: http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/logs/logsOW&taskID=3012

Logarithm Laws

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/logs/logs2logsOH&taskID=2062

Introduction to Logarithms

Practice Questions:  
http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/logs/logs2logsOH&taskID=2062

Factor Theorem and Remainder Theorem

Practice Questions:
http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/FactorThm/Factor3RemainderOH&taskID=2044

Venn Diagrams - Shading unions and intersections

Practice Questions:

http://www.myimaths.com/tasks/library/loadTask.asp?title=Sets/INTSets2OH&taskID=1331

Distance-Time graph and Speed-Time graph

Distance-Time:  http://www.youtube.com/watch?v=dvKdvodjxiY

Practice Questions:
http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/mech1/kinematics/kinematics1GraphsOH&taskID=2183

Displacement, Velocity and Acceleration

Practice Questions:

http://www.myimaths.com/tasks/library/loadTask.asp?title=calculus/INTCalculus5AppsOH&taskID=1307

(page 2 only)

Integration - ax + b

Resultant velocity - harder

Resultant Velocity - easier

Relative Velocity

Cosine Rule - How to find an angle

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/trigIntro/Trigintro2CosineRuleOH&taskID=2046

Cosine Rule - finding an angle

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/trigIntro/Trigintro2CosineRuleOH&taskID=2046

Sine Rule

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/trigIntro/Trigintro1SineRuleOH&taskID=2045

Vectors and Ratios - Harder

(You only need to understand the first three minutes, up and till 2:58 seconds to be exact).

Vectors and Ratios - Basic

Practice Questions:
http://www.myimaths.com/tasks/library/loadTask.asp?title=vectors/vectorspart2OH&taskID=1135

Unit Vector

Magnitude of a Vector

Practice questions:
http://www.myimaths.com/tasks/library/loadTask.asp?title=vectors/INTvectorspart3OH&taskID=1332

Binomial Theorem - Finding a specific term

Practice Questions:  

Page 2 of: http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Sequences/sequences4BinomialOH&taskID=2041

Binomial Expansion - harder example

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Sequences/sequences4BinomialOH&taskID=2041

Binomial Theorem

Practice Questions:
http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Sequences/sequences4BinomialOH&taskID=2041

Combinations

Permutations

Solve a Matrix Equation using inverses

Inverse of a Matrix

Determinant of a Matrix

Matrices - Multiplication (part 2)

Matrices - Multiplication (part 1)

Matrices - Adding and Subtracting

Graphs of sin x and cos x - harder transformations

Graphing something like y = sin (2x + 30)

Practice questions:

http://www.examsolutions.net/maths-revision/core-maths/trigonometry/transformation%20graphs/exam-questions/Edexcel/C2/questions.php

Graphs of sin x and cos x - easier transformations

How to sketch the graphs of 
 y = sin x
y = sin 3x
y = 1 + sin 3x
etc. 

Practice questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/trigIntro/Trigintro5TransformOH&taskID=2049

Examsolutions practice questions: area of curves

http://www.examsolutions.net/maths-revision/core-maths/integration/applications/area/exam-questions/Edexcel/C2/questions.php

Area between two curves

To find the area between two curves:

   subtract the two equations, 

   then integrate. 

   khalaas. 

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Integration/integration5LinesOH&taskID=2058

 

Integrating to find area under a graph

How to use integration to find the area under a curve. 

Special notes:  

- Sometimes integration gives a negative answer, so ignore the negative.  

- Areas below the x-axis should be done separately to areas above the x-axis

- For more complex questions, use a two-step technique to take away the area under the curve from the whole shape.

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Integration/integration4AreaNegOH&taskID=2057

Integrating Harder Expressions

If an equation has brackets, you need to expand the brackets first before you integrate.  

Question:  Integrate  (1 + e^½x)(1 – e^½x)

Area under a graph using integration

To find the area under a graph we integrate the equation. 

Example Question:  Find the area under the curve between 1 and 4. 

(video to follow)

Practice Questions:

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core2/Integration/integration3AreaOH&taskID=2056

Solving modulus equations / Harder graphs of the modulus function

How to solve an equation that has modulus in it. 

Question:  Solve  │2x + 7│= 9

How to draw graphs of modulus functions eg. y = │2x + 3│  - 1

Modulus Function

│-5│ is equal to 5 because we ignore the minus sign. 

How to sketch the graph of   y =│3x - 2│

Practice questions:  

http://www.myimaths.com/tasks/library/alevel/lib/loadLesson.asp?title=alevel/core3/Functions/functions4Modulus&taskID=2141

http://www.myimaths.com/tasks/library/alevel/lib/loadTask.asp?title=alevel/core3/Functions/functions4ModulusOH&taskID=2141