Teachers Guidance

C2 involves the teaching of 5 key areas

1. Number
2. Algebra
3. Coordinate Geometry and Radians
4. Trigonometry
5. Calculus

In this project I have covered 2 areas, firstly I have written up all the notes that I have given to my students when I have been teaching the C2 course and secondly .in conjuction with each sets of notes I have written a homework sheet that can be used to practice the key skills.

The notes are there for either a teachers use with their class or to use as extra revision material for their students, or maybe just for a teacher to work through the examples with a class. The homework sheets are intended to be straight forward and not 'wordy' so that students of all abilities can achieve success at them. I have used them along side the Edexcel textbook, to check on students' progress and identify any specific areas of weakness. An alternative approach would be to use them in lesson time to consolodate the concepts taught and to initiate discussion about the harder questions and about the different approaches that students can take to solve a problem. This then leaves you the textbook exercise to set for homework.

These are the 71 topics that I have identified as being required to be taught for the C2 examination, and as such you will find a set of notes and homework sheet for each one.

Number:

• Finding and using the common ratio
• The general term for a geometric sequence
• Growth and decay
• Partial sums of geometric sequences
• Sum to infnity

Algebra

• Simplifying algebraic fractions
• Factorizing to cancel
• Dividing a polynomial
• Finding the remainder
• Factor theorem
• Finding remainder using factor theorem
• Exponential graphs
• Writing an expression as a logarithm
• Using your calculator
• Laws of logarithms
• Solving logarithmic equations
• Changing the base of a logarithm
• Using pascal's triangle to expand brackets
• Factorial and combination notation
• Using factorials in the binomial expansions
• Using (1+x) n for binomial expansion

Coordinate Geometry and Radians

• Midpoint of a line
• Perpendicular bisectors from chords
• Distance between 2 points
• Equations of circles
• Finding points of intersections for circles
• Conversion between radians and degrees
• Calculating arc lengths
• Finding the area of a sector
• Finding the area of a segment

Trigonometry

• Pythagoras
• Trigonometry
• angle of elevation and depression
• Finding an unknown side using the sine rule
• Finding an unknown angle using the sine rule
• Finding two solutions for a missing angle
• Finding an unknown side using the cosine rule
• Finding an unknown angle using the cosine rule
• Mixed problems
• Understanding positve and negative angles
• Equivalent trigonometric ratios
• Expressing angles in terms of trigonometric ratios of acute angles
• Finding exact values of trigonometric ratios
• Solving trig equations in degrees
• Solving trig equations in radians
• Solving harder trig equations in degrees
• Solving harder trig equations in radians
• Solving trig equations with more than 2 solutions
• Solving trig equations after simplifying first

Calculus

• Increasing, decreasing and stationary points
• Turning points
• Solving problems using turning points
• Definite integration
• Finding area under curves above x axis
• Finding area of curves that lie under the x axis
• Finding area between curves and the x axis
• Finding area between a curve and a line