Unit 1 & 2
General Mathematics (Victoria)
Linear Relations and Equations
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Algebra 1 Substitution
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Formulae Substitution & rearranging
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Rearranging algebraic equations
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Applications of rearrangement and substitution
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Revision of Linear equations
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The equation of a straight line
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Rearranging linear equations
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Simultaneous solutions 1 Intro
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Simultaneous solutions 2 Solving Graphically
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Simultaneous solutions 3 Solving by substitution part 1
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Simultaneous solutions 4 Solving by substitution part 2
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Simultaneous solutions 5 Solving by elimination part 1
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Simultaneous solutions 6 Solving by elimination part 2
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Simultaneous solutions 7 Solving by elimination part 3
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Simultaneous equations word problems
Computation and Practical Arithmetic (Coming Soon)
Coming Soon
Financial Arithmetic
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Spending Money Calculating dollar discount
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Spending Money Calculating a percentage discount
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Spending Money Calculating the original price
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Finding percentage profit or loss
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Finding selling price based on percentage profit
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Budgeting
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Exchange Rates
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Calculating GST
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Calculating Pre gst price
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The Simple Interest Equation
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The Simple Interest Equation part 2
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Rearranging simple interest formula
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How to calculate monthly repayments on a Flat Rate interest loan
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Simple interest formula – Calculate interest paid on a Flat Rate or simple interest loan
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Application of Flat rate interest loan purchase with a deposit
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Compound interest introduction
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Compound interest formula
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The Time Value of Money
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Compound interest Appreciation
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Compound interest different compounding periods
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Borrowing money intro
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TVM mode on Graphics calculator
Matrices
Graphs and Networks
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Intro to Networks: part 1
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Intro to Networks Part 2: More Terminology
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Networks Digraphs and subgraphs
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Networks Relationship between Sum of degree of Vertices and Edges
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Creating an Adjacency Matrix from a network graph
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Adjacency Matrix with Digraphs
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Planar Graphs Introduction – Equivalent (Isomorphic Graphs) and Drawing Graphs in Planar Form
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Planar Graphs – Euler’s Formula – It always works and here’s how to work with it
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Networks: open and closed walks
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Networks Trails and Paths
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Networks Eulerian Graphs and Semi-Eulerian Graphs
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Hamiltonian and semi hamiltonian graphs
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Networks Weighted Graphs shortest paths and the travelling salesperson problem
Number Patterns and Recursion
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Sequence Notation
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Recurrence Relations
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Using a recurrence relation
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Defining a sequence in terms of n
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Applications of recurrence relations
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Applications of recurrence relations non arithmetic
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Using a calculator with recurrence relations
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Arithmetic sequence formula
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Rearranging the arithmetic sequence formula
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Arithmetic sequences using simultaneous equations
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Application of the arithmetic sequence
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Simple Interest using arithmetic sequences
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The Middle Term as the arithmetic mean in an arithmetic sequence
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Finding the number of terms in an arithmetic sequence
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Geometric sequences and the recursive definition
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Geometric Sequence formula
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Geometric sequences finding the common ratio
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Geometric Sequences finding the value of n
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Geometric Sequences and simultaneous equations
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Compound interest as a geometric sequence
Shape and Measurement
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Intro to Pythagoras Theorem
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Pythagoras Calculating the hypotenuse
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Pythagoras Calculating the shorter side
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Pythagoras Theorem in 3 dimensions
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Perimeter, Area & Volume 1 Perimeter
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Perimeter, Area & Volume 2 Circumference
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Perimeter of a sector
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How to find the area of squares, rectangles, triangles and parrallelograms
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How to find the Area of a Trapezium or Trapezoid
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Perimeter, Area & Volume 5 Area of Circle
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Perimeter, Area & Volume 6 Area of Sector
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Surface Area Nets
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Surface area Cubes and rectangular prisms
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Surface Area cylinders
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Surface Area Cone
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Surface Area Pyramids
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Surface Area Triangular prisms
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Volume 1 Define Prisms
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Volume 2 Calculate volume of prisms
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Volume 3 Volume & Capacity
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Volume 4 Volume of a pyramid or cone
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Similar Figures Simple definition
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Triangles Enlargements
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Similar triangles The SAS test of similarity
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The AAA test of similarity
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The RHS test of similarity
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The SSS test of similarity
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Similarity Ratios introduction
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Using similarity ratios to find unknown sides
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Shadow sticks and similar triangles
Applications of Trigonometry
Linear Graphs and Models
Inequalities and Linear Programming
Variation (Coming Soon)
Coming Soon
Investigating and Comparing Data Distributions
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Statistics – Types of Data
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Statistics column graph
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Frequency histogram class intervals
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Statistics Frequency Histogram
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Statistics Frequency Polygon
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Back to Back stem and Leaf plot
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Measures of central tendency Mean, Median & Mode
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Measures of spread Range and Interquartile range
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Five Number Summary
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preparing a boxplot
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Comparing boxplots
Investigating Relationships Between two Numerical Variables (Coming Soon)
Coming Soon