Core 1

Core 1

Algebra Review
1. Linear Equations
  1. ax+b=0
2. Simultaneous Eqations
  1. Elimination
  2. Substitution
3. Inequalities
  1. X by -1, Reverse the inequality
Surds
1. Irrational numbers
2. ab = a x b
3. Rationalise the denomiator
  1. change the sign, times by top and bottom
4. a x a = a
Co-Ordinate Geomentry
1. Distance between 2 points
2. Mid-points
3. Gradient
4. Perpendicular Lines
5. Line Equation
6. Line Intersection
7. Parallel Lines
Quadratics
1. Parabolas
2. Quadratic functions
3. Factorising
4. Sketching Graphs
5. Completing The Square
6. Translations
7. Quadratic Formula
8. The discriminant
Polynomials
1. Adding
2. Subtracting
3. Mutliplying
4. Finding Coefficients
Factors, Remainders, Cubic Graphs
1. Algebraic Division
2. Factor Theorem
3. Remainder Theorem
4. Factorisation
5. Graphs of Cubics
Simultaneous Equations, Quadratic Inequalities
1. Line and Curve Intersection
2. Quadratics
  1. Tangents
  2. b^2-4ac
  3. Inequalities
3. Completing the Square
Circles
1. General Formula
  1. Centre
  2. Radius
2. Translations
  1. Sketching
  2. Vectors
3. Circle Properties
  1. Chords
4. Normals
5. Equation of Tangent
Differentation
1. Gradients of Chords
2. Tangents at a Point
3. Gradient of curve
4. Derivative
5. Notation
6. x power by coefficinent
  1. reduce power by 1
Aplplications of Differentation
1. rates of change
2. increasing/ decreasing functions
3. tangents
4. normals
5. Curve Equation
Max,Min, Optimisation Problems
1. Second Derivative
  1. Max < 0
  2. Min > 0
2. Least Value of Quadratic
3. Points of Inflection
4. Optimisation
  1. 1 Variable
Integration
1. Add 1 to Power, then divide by that number
2. + c
3. Equation of Curve
4. Area Under/ Between Curves
5. Definate/Indefinate Integrals

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