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| Nayland College Mathematics; More than just a school | |||||||||||||||
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Achievement Standard 2.1 Algebra continues from level 1 with more complex simplifying and solving equations. Several new concepts are introduced: the Quadratic formula, Surds, Logarithms and using logarithms to solve exponential equations. |
Algebra Starters 
Web version
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1
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Overview
Overview of achievement standard 2.1 Importance of algebra in success at Level 3 Statistics and Calculus. Pre-requisite grades expected for Level 3 Mathematics |
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| 2
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Simplifying
Basic simplifying involving: indices, multiply terms, dividing terms, Brackets,
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| 3
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More Simplifying
Simplifying algebraic fractions, Multiply fractions, Dividing fractions, Fractions with powers
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| 4
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Expanding Brackets
Expanding single brackets, Expanding and collecting 'like terms', Expanding quadratics, Expanding perfect squares & difference between squares, Expanding cubics
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| 5
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Factorising
Factorising single brackets Factorising quadratics Two stage factorising
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| 6
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More Factorising
Harder factorising, Difference between two squares, Factorising fractions
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| 7
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Indices
Simplification and manipulation involving indices
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| 8
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More Indices
Fractional & negative indices
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| 9
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Logarithms
Same bases & Logs |
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| 10
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Log Rules
Comparing the log rules to index manipulations
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| 11 |
Index Equations
Solving index equations using logs
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| 12
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Linear Equations
Solving linear equations & Fraction equations. Substitution & Rearrangement
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| 13
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Inequalities
Linear inequalities & their applications |
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| 14
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Simultaneous equations
Solving Simultaneous equations & relating them to graphs using the elimination method |
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| 15
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More Simultaneous Equations
Simultaneous equations using the substitution method & Word problems (applications) |
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| 16
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Quadratic Equations
Solving quadratic equations Solving quadratics: applications
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| 17
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Quadratic Formula
Using the Quadratic formula and more practice of quadratic applications
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| 18
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Quadratic Applications
Solving quadratics with applications |
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| 19
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Nature of roots
Establishing the nature of roots & the discriminant
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| 20
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Rearranging
Rearrange formula, Rearranging applications Rational expressions |
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| 21
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Rational rearrangements
Rearranging roots, Rearranging rational expressions |
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| 22
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Fractions
Simplify algebra fractions involving aaddition and subtraction
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| 23
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Graph intersections
Finding the points of intersection between lines & parabolas, circles, hyperbola & applications
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| 24
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Revision
Test 2.1 Revision |
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Word doc 07/03 
Theta Homework Book (David Barton) 
Theta Text Book (David Barton) 
Geogebra java animation 
Excel Spreadsheet (allow macros) 
