L2 Algebra

Louise Addison
Mind Map by , created almost 6 years ago

NCEA Level 2 Mathematics Mind Map on L2 Algebra, created by Louise Addison on 10/23/2013.

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Louise Addison
Created by Louise Addison almost 6 years ago
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L2 Algebra
1 Manipulate Expressions
1.1 Indices / Exponents / Powers
1.1.1 Simplify
1.1.1.1 Basic power laws (multiply / divide / power of power)
1.1.1.2 Fractional powers (Link to roots)
1.1.1.3 Negative powers (Link to reciprocals)
1.1.2 Logarithms
1.1.2.1 Formal definition
1.1.2.2 Simplify
1.1.2.2.1 Properties of logs (add / subtract / multiply)
1.1.3 Expressions
1.1.3.1 Expand
1.1.3.1.1 3 brackets
1.1.3.1.2 Mixed brackets
1.1.3.2 Factorise
1.1.3.2.1 Common Factor
1.1.3.2.2 Quadratics
1.1.3.2.2.1 Perfect squares
1.1.3.2.2.2 Difference of 2 squares
1.1.3.2.2.3 a not equal to 1
1.1.3.3 Fractions
1.1.3.3.1 Add and subtract (use common denominator / cross multiplying)
1.1.3.3.2 Simplify (Factorise / divide by common factor
1.1.3.4 Change subject of formula
2 Solve Equations
2.1 Linear
2.1.1 Solve equation
2.1.2 Solve inequation
2.1.3 Solve with fractions
2.2 Quadratic
2.2.1 Factorise to solve
2.2.2 Use quadratic fomrula to solve
2.2.3 Use graphics calculator to solve
2.2.4 Use discrimininant to determine nature of roots
2.2.4.1 d=0 then one repeated root
2.2.4.2 d>0 then two real roots
2.2.4.3 d<0 then no real roots
2.3 Logarithmic
2.3.1 Use properties to solve
2.3.2 Use formal defintion to rewrite as exponential
2.4 Exponential
2.4.1 Use logs to solve
2.4.2 Use roots to solve

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