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Semester 2 revision, image, STATISTICS - Coggle Diagram

- - - - True bearings (°T) are measured clockwise from due north. Some angles and directions are shown in this diagram;
        for example, NE means north-east.
  - - - sin-1(Opposite)/(Hypotenuse)= θ cos-1(Base)/(Hypotenuse) = θ tan-1(Opposite)/(Base) = θ
- - - - Shapes
      - hexagon
        
        In geometry, a hexagon is a six-sided polygon or 6-gon. The total of the internal angles of any simple hexagon is 720°
      - Similar Triangles
      - Angles:
        Acute 0-90 degress
        Right 90 desgress
        Obtuse 90-180 degress
- - - - Stem and leaf plots
- - - - Turning Point Form
        
        X-Intercepts
        
        Y Intercepts
        
        Axis of Symmetry
        
        TPx = (x1 + x2) / 2
      - Sketching Parabolas
        
        Using the Quadratic Formula
        
        Completing the Square
        
        Using Transformations
        
        Using Factorisation
    - - TP = (h,k) when completing the square
      - if h is positive, it shifts left h units and if h is negative, it shifts right h units
      - when a is positive it is upright but when a is negative it is inverted
      - k>0 it shifts up k units, if k<0 it shifts k units and if k=0 it doesn't shift
  - - - FOIL - First Outer Inner Last
        
        (x + 1)(x - 5)
        
        x^2 - 5x + x - 5 = x^2 - 4x - 5
    - - DOPS
        
        = 7(y^2 - 10) = 7(y +10)(y-10)
      - Non-monic equations
        
        When a, (x^2), has a pronumeral in front of it
      - Monic Trinomials
        
        When a, (x^2) has no pronumeral in front of it
      - HCF
        
        The Highest Common Factor
      - Perfect square
      - Complete the square
    - - a(5x + 3) + b(5x +3) = (5x+3)(a+b)
      - 2a +2m + xa + xm = 2(a+m) +x (a + m)
      - = (a+m)(2+x)
    - - Applications
      - Quadratic Formula