#### Linear Relations and Equations

Algebra 1 Substitution

Formulae Substitution & rearranging

Rearranging algebraic equations

Applications of rearrangement and substitution

Revision of Linear equations

The equation of a straight line

Rearranging linear equations

Simultaneous solutions 1 Intro

Simultaneous solutions 2 Solving Graphically

Simultaneous solutions 3 Solving by substitution part 1

Simultaneous solutions 4 Solving by substitution part 2

Simultaneous solutions 5 Solving by elimination part 1

Simultaneous solutions 6 Solving by elimination part 2

Simultaneous solutions 7 Solving by elimination part 3

Simultaneous equations word problems

#### Computation and Practical Arithmetic (coming soon)

Come back soon for these videos.

#### Financial Arithmetic

Spending Money Calculating dollar discount

Spending Money Calculating a percentage discount

Spending Money Calculating the original price

Finding percentage profit or loss

Finding selling price based on percentage profit

Budgeting

Exchange Rates

Calculating GST

Calculating Pre gst price

The Simple Interest Equation

The Simple Interest Equation part 2

Rearranging simple interest formula

How to calculate monthly repayments on a Flat Rate interest loan

Simple interest formula – Calculate interest paid on a Flat Rate or simple interest loan

Application of Flat rate interest loan purchase with a deposit

Compound interest introduction

Compound interest formula

The Time Value of Money

Compound interest Appreciation

Compound interest different compounding periods

Borrowing money intro

TVM mode on Graphics calculator

#### Matrices

What is a matrix

Matrix Equality

Storing Information in Matrices

Adding and subtracting matrices

Multiplying matrices by a scalar

Multiplying Matrices the better way

An Application of Matrix Multiplication

Powers of Matrices

The Identity Matrix

Matrices Recap

Communication Matrices

#### Graphs and Networks

Intro to Networks: part 1

Intro to Networks Part 2: More Terminology

Networks Digraphs and subgraphs

Networks Relationship between Sum of degree of Vertices and Edges

Creating an Adjacency Matrix from a network graph

Adjacency Matrix with Digraphs

Planar Graphs Introduction – Equivalent (Isomorphic Graphs) and Drawing Graphs in Planar Form

Planar Graphs – Euler's Formula – It always works and here's how to work with it

Networks: open and closed walks

Networks Trails and Paths

Networks Eulerian Graphs and Semi-Eulerian Graphs

Hamiltonian and semi hamiltonian graphs

Networks Weighted Graphs shortest paths and the travelling salesperson problem

#### Number Patterns and Recursion

Sequence Notation

Recurrence Relations

Using a recurrence relation

Defining a sequence in terms of n

Applications of recurrence relations

Applications of recurrence relations non arithmetic

Using a calculator with recurrence relations

Arithmetic sequence formula

Rearranging the arithmetic sequence formula

Arithmetic sequences using simultaneous equations

Application of the arithmetic sequence

Simple Interest using arithmetic sequences

The Middle Term as the arithmetic mean in an arithmetic sequence

Finding the number of terms in an arithmetic sequence

Geometric sequences and the recursive definition

Geometric Sequence formula

Geometric sequences finding the common ratio

Geometric Sequences finding the value of n

Geometric Sequences and simultaneous equations

Compound interest as a geometric sequence

#### Shape and Measurement

Intro to Pythagoras Theorem

Pythagoras Calculating the hypotenuse

Pythagoras Calculating the shorter side

Pythagoras Theorem in 3 dimensions

Perimeter, Area & Volume 1 Perimeter

Perimeter, Area & Volume 2 Circumference

Perimeter of a sector

How to find the area of squares, rectangles, triangles and parrallelograms

How to find the Area of a Trapezium or Trapezoid

Perimeter, Area & Volume 5 Area of Circle

Perimeter, Area & Volume 6 Area of Sector

Surface Area Nets

Surface area Cubes and rectangular prisms

Surface Area cylinders

Surface Area Cone

Surface Area Pyramids

Surface Area Triangular prisms

Volume 1 Define Prisms

Volume 2 Calculate volume of prisms

Volume 3 Volume & Capacity

Volume 4 Volume of a pyramid or cone

Similar Figures Simple definition

Triangles Enlargements

Similar triangles The SAS test of similarity

The AAA test of similarity

The RHS test of similarity

The SSS test of similarity

Similarity Ratios introduction

Using similarity ratios to find unknown sides

Shadow sticks and similar triangles

#### Applications of Trigonometry

Trig Ratios fast

The Sine Rule Fast

The sine rule ambiguous case

Area of a triangle using trigonometry

Bearings and Trigonometry an example

True Bearings

Angle of elevation and depression

How to Draw the Diagrams for Trig Applications Questions (Bearings and Elevation/Depression

#### Linear Graphs and Models

Revision of Linear equations

Finding the gradient of a line revision

The equation of a straight line

Sketching Linear equations using the intercept method

finding the equation of a straight line

Rearranging linear equations

#### Inequalities and Linear Programming

Linear Programming Intro

Linear programming Geometric approach

Linear programming Optimal integer solution

#### Variation (coming soon)

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#### Investigating and Comparing Data Distributions

Statistics – Types of Data

Statistics column graph

Frequency histogram class intervals

Statistics Frequency Histogram

Statistics Frequency Polygon

Back to Back stem and Leaf plot

Measures of central tendency Mean, Median & Mode

Measures of spread Range and Interquartile range

Five Number Summary

preparing a boxplot

Comparing boxplots

#### Investigating Relationships Between two Numerical Variables (coming soon)

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