PURE 2
CH 1 - Algebraic METHODS
- Algebraic Fractions
- Algebraic Division
- Factor Theorem
- Remainder Theorem
- Mathematical Proof
- Proof by Exhaustion
CH 2 - COORDINATE GEOMETRY
- Midpoint of a Segment
- Perpendicular Bisector
- Equation of a Circle
- Geometric Problems involving
- Circles and Straight Lines
- Use Circle Properties
- Find Angles in Circles and Triangles
CH 3 - EXPONENTIALS & LOGARITHMS
- Sketch and transform the graphs of Exponential functions
- Recognise the relationship between exponents and logarithms
- Laws of Logarithms
- Solve Log Equations
- Change of Base
CH 4 - THE BINOMIAL EXPANSION
- Use Pascals Triangle
- Use combinations and factorial notation
- Use the Binomial Expansion
- Find individual Coefficients
- Make approximations
CH 5 - sEQUENCES & SERIES
- Arithmetic sequence nth term
- Sum of an arithmetic series
- Geometric sequence nth term
- Sum of a finite geometric series
- Sum to infinity of a convergent geometric series
- Use sigma notation ∑
- Use recurrence relations
- Model Real-life situation
CH 6 - Trig IDENITITES & EQUATIONS
- Calculate the sine, cosine and tangent of any angle
- Know the exact values for 30, 45 and 60 degrees
- Know and use Trigonometric Identities
- Solve Trigonometric Equations
CH 7 - DIFFERENTIATION
- Identify increasing and decreasing functions
- Find Stationary Points and determine their nature
- Sketch the gradient function
- Model real-life situations with differentiation
CH 8 - INTEGRATION
- Evaluate a definite integral
- Find the area bounded by a curve and the x-axis
- Find the area bounded by two functions
- Use the trapezium rule to approximate the area under the curve