School Mathematics

Indholdsfortegnelse

• Calculus-Integration

  • Area between Curves
  • Area Between Parabolas/Lines

• Calculus-Differentiation

  • Graph Derivatives of sinx and cosx.

• Circle-Properties

  • Circle - angles
  • Circle - sectors

• Functions

  • Functions - graphs
  • Domain and Range of a function
  • Composite Functions

• Graph Transformations

  • Transform Graph
  • Transform Graph X-Stretch
  • Transform Graph Y-Stretch
  • Transform Graph X-Shift
  • Transform Graph Y-Shift
  • Quadratic Graph-Completed Square Form

• Lines and Circles

  • Straight Line - gradient
  • Straight Line - equation
  • Equation of a Straight Line
  • Lines Associated with a Triangle
  • Locus Intro
  • Equation of a Circle (1)
  • Equation of a Circle (2)
  • Equation of a Circle through 3 Points
  • Equation of Tangent to a Circle
  • Line and Circle 1
  • Line and Circle 2

• Logs and exponentials

  • Exponential and Log graphs
  • Graphs e^x and ln x

• Pythagoras' Theorem

  • Pyth Thm: 3D cuboid
  • Pyth Thm: Coordinates
  • Distance Formula

• Quadratics

  • Quadratics - expand brackets
  • Quadratics - factorise
  • Quadratic function-graph 1
  • Quadratic function-graph 2
  • Quadratic Equations-factorising
  • Quadratic Equations - Formula
  • Discriminant
  • Completing the Square
  • Completing the Square

• Shapes-Area

  • Area of a Triangle
  • Area of a Kite
  • Area of a Parallelogram
  • Area of a Trapezium

• Shapes-Properties

  • Properties: square
  • Properties: rectangle
  • Properties: kite
  • Properties: rhombus
  • Properties: parallelogram
  • Properties: trapezium

• Statistics

  • Standard Deviation Formulae

• System of Equations

  • Simultaneous Equations:Elimination
  • Simultaneous Equations:Substitution
  • Simultaneous Equations: Graph input
  • Simultaneous Equations: Graph move line

• Trig Graph Transformations

  • Trig Graph Transformation 1
  • Trig Graph Transformation 1 (radians)
  • Trig Graph Transformation 2
  • Trig Graph Transformation 2 (radians)
  • Trig Graph Transformation 3
  • Trig Graph Transformation 3 (radians)
  • Trig Graph Transformation 4
  • Trig Graph Transformation 4 (radians)

• Trig. Equations

  • Trigonometry: equation solution graph 1 (sine)
  • Trigonometry: equation solution graph 2 (cosine)
  • Trigonometry: equation solution graph 3 (tangent)
  • Trigonometry: CAST introduction

• Trig-Triangle Formulae

  • Sine Rule - find a side
  • Sine Rule - find an angle
  • Cosine Rule - find a side
  • Cosine Rule - find an angle
  • Trigonometry-Area Formula

• Vectors

  • Scalar Product

• Wave Function

  • Wave Function