L2 Algebra

Beschreibung

NCEA Level 2 Mathematics Mindmap am L2 Algebra, erstellt von Louise Addison am 23/10/2013.
Louise Addison
Mindmap von Louise Addison, aktualisiert more than 1 year ago
Louise Addison
Erstellt von Louise Addison vor mehr als 10 Jahre
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3

Zusammenfassung der Ressource

L2 Algebra
  1. Manipulate Expressions
    1. Indices / Exponents / Powers
      1. Simplify
        1. Basic power laws (multiply / divide / power of power)
          1. Fractional powers (Link to roots)
            1. Negative powers (Link to reciprocals)
            2. Logarithms
              1. Formal definition
                1. Simplify
                  1. Properties of logs (add / subtract / multiply)
                2. Expressions
                  1. Expand
                    1. 3 brackets
                      1. Mixed brackets
                      2. Factorise
                        1. Common Factor
                          1. Quadratics
                            1. Perfect squares
                              1. Difference of 2 squares
                                1. a not equal to 1
                              2. Fractions
                                1. Add and subtract (use common denominator / cross multiplying)
                                  1. Simplify (Factorise / divide by common factor
                                  2. Change subject of formula
                              3. Solve Equations
                                1. Linear
                                  1. Solve equation
                                    1. Solve inequation
                                      1. Solve with fractions
                                      2. Quadratic
                                        1. Factorise to solve
                                          1. Use quadratic fomrula to solve
                                            1. Use graphics calculator to solve
                                              1. Use discrimininant to determine nature of roots
                                                1. d=0 then one repeated root
                                                  1. d>0 then two real roots
                                                    1. d<0 then no real roots
                                                  2. Logarithmic
                                                    1. Use properties to solve
                                                      1. Use formal defintion to rewrite as exponential
                                                      2. Exponential
                                                        1. Use logs to solve
                                                          1. Use roots to solve
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