Канал: Heather Whitehead

Vector Projections

Vector Projections

Geometric Proofs Using Vectors

Geometric Proofs Using Vectors

Dot Product

Dot Product

Vectors - Arithmetic, Magnitude and Direction

Vectors - Arithmetic, Magnitude and Direction

Vectors - Component and Column Notation

Vectors - Component and Column Notation

Vector arithmetic

Vector arithmetic

Introduction to vectors

Introduction to vectors

Binomial Proofs

Binomial Proofs

Binomial Theorem

Binomial Theorem

Finding terms of a binomial expansion

Finding terms of a binomial expansion

Pigeonhole Principle

Pigeonhole Principle

Pigeonhole Principle Proof

Pigeonhole Principle Proof

Circular arrangements

Circular arrangements

Permutations with identical elements

Permutations with identical elements

Permutations with groupings

Permutations with groupings

Permutation Notation

Permutation Notation

Products and sums of trig functions - examples

Products and sums of trig functions - examples

Products and sums of trig functions

Products and sums of trig functions

Double angle formula examples

Double angle formula examples

Properties of inverse trigonometric functions

Properties of inverse trigonometric functions

Graphs involving inverse trigonometric functions

Graphs involving inverse trigonometric functions

Calculations with inverse trigonometric functions

Calculations with inverse trigonometric functions

Area of rectangles and squares

Area of rectangles and squares

Area of triangles

Area of triangles

Adding and subtracting mixed numbers

Adding and subtracting mixed numbers

Sketching squares and square roots

Sketching squares and square roots

Further absolute value graphs

Further absolute value graphs

Graphing the product of functions

Graphing the product of functions

Graphing sums and differences of functions

Graphing sums and differences of functions

Graphing the reciprocal function

Graphing the reciprocal function

Sign of a function

Sign of a function

Division of Polynomials - area model

Division of Polynomials - area model

Quadratic Formula

Quadratic Formula

Completing the Square

Completing the Square

Solving Non-Monic Quadratic Equations

Solving Non-Monic Quadratic Equations

Solving Monic Quadratic Equations

Solving Monic Quadratic Equations

Solving Factorised Equations

Solving Factorised Equations

Products, Sums and Factors

Products, Sums and Factors

Further Exponential Growth and Decay

Further Exponential Growth and Decay

Projectile Motion Examples

Projectile Motion Examples

Projectile Motion Equations

Projectile Motion Equations

Graphs of Change

Graphs of Change

Differentiation from First Principles

Differentiation from First Principles

Introduction to Differentiation

Introduction to Differentiation

Distance-Time Graphs

Distance-Time Graphs

Distance-time graphs with variable speed

Distance-time graphs with variable speed

Simple Harmonic Motion - Velocity in terms of displacement

Simple Harmonic Motion - Velocity in terms of displacement

Further simple harmonic motion examples

Further simple harmonic motion examples

Index Notation

Index Notation

Simple Harmonic Motion Examples

Simple Harmonic Motion Examples

Simple Harmonic Motion - Introduction

Simple Harmonic Motion - Introduction

Angles in Parallel Lines

Angles in Parallel Lines

Exterior Angle of a Polygon

Exterior Angle of a Polygon

Interior Angle Sum of a Polygon

Interior Angle Sum of a Polygon

Simultaneous Equations - Graphical Method

Simultaneous Equations - Graphical Method

Acceleration as a function of displacement

Acceleration as a function of displacement

Velocity as a function of displacement

Velocity as a function of displacement

Adjacent Angles

Adjacent Angles

Complementary and Supplementary Angles

Complementary and Supplementary Angles

Exterior Angle of a Triangle

Exterior Angle of a Triangle

Angles at a Point

Angles at a Point

Interior Angle Sum of a Triangle

Interior Angle Sum of a Triangle

Vertically Opposite Angles

Vertically Opposite Angles

Interior Angle Sum of a Quadrilateral

Interior Angle Sum of a Quadrilateral

Related Rates

Related Rates

Integration with inverse trigonometric functions

Integration with inverse trigonometric functions

Differentiating Inverse Trigonometric Functions - Rules

Differentiating Inverse Trigonometric Functions - Rules

Differentiating Inverse Trigonometric Functions - Examples

Differentiating Inverse Trigonometric Functions - Examples

Inverse Trigonometric Functions

Inverse Trigonometric Functions

Finding Inverse Functions

Finding Inverse Functions

What are inverse functions?

What are inverse functions?

Simplifying Surds

Simplifying Surds

Mixed Factorisation

Mixed Factorisation

Harder Algebraic Fractions

Harder Algebraic Fractions

Surds and Irrational Numbers

Surds and Irrational Numbers

Practical Pythagoras' Theorem Problems

Practical Pythagoras' Theorem Problems

Testing to see if a triangle is right angled

Testing to see if a triangle is right angled

Pythagoras' Theorem - Finding the length of a short side

Pythagoras' Theorem - Finding the length of a short side

Trig Integration by Substitution

Trig Integration by Substitution

The Hypotenuse

The Hypotenuse

Pythagoras' Theorem

Pythagoras' Theorem

Squares and Square Roots in the calculator

Squares and Square Roots in the calculator

Integrating using trig identities

Integrating using trig identities

Differentiate sinx from first principles

Differentiate sinx from first principles

Integration by substitution definite

Integration by substitution definite

Integration by substitution - indefinite

Integration by substitution - indefinite

Percentage of a Quantity

Percentage of a Quantity

Percentage Increase and Decrease

Percentage Increase and Decrease

Unitary Method

Unitary Method

Quantities as Percentages

Quantities as Percentages

Fractions, Decimals and Percentages

Fractions, Decimals and Percentages

Percentage Diagrams

Percentage Diagrams

Adding and Subtracting Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Multiplying Fractions

Dividing Fractions

Dividing Fractions

Pythagoras' Theorem and Volume

Pythagoras' Theorem and Volume

Volume of Composite Solids

Volume of Composite Solids

Volume Working Backwards

Volume Working Backwards

Volume of Spheres

Volume of Spheres

Ordering Fractions

Ordering Fractions

Simplifying Fractions

Simplifying Fractions

Improper Fractions and Mixed Numerals

Improper Fractions and Mixed Numerals

Equivalent Fractions

Equivalent Fractions

Rounding Decimals

Rounding Decimals

Binomial Probability Examples

Binomial Probability Examples

Introduction to Binomial Probability

Introduction to Binomial Probability

Ordering Decimals

Ordering Decimals

Adding and Subtracting Decimals

Adding and Subtracting Decimals

Multiplying and Dividing Decimals by Powers of 10

Multiplying and Dividing Decimals by Powers of 10

Adding and Subtracting Integers

Adding and Subtracting Integers

Integers

Integers

Multiplying and Dividing Integers

Multiplying and Dividing Integers

Probability with permutations and combinations

Probability with permutations and combinations

Bisection Method

Bisection Method

Newton's Method

Newton's Method

Properties of polynomials

Properties of polynomials

Binomial Proofs (sum notation)

Binomial Proofs (sum notation)

Binomial Expansions - Greatest Coefficient

Binomial Expansions - Greatest Coefficient

Binomial Expansions - Coefficients

Binomial Expansions - Coefficients

Binomial Expansions and Pascal's Triangle

Binomial Expansions and Pascal's Triangle

EXT Curve Sketching with Discontinuities

EXT Curve Sketching with Discontinuities

EXT Curve Sketching with Asymptotes 1

EXT Curve Sketching with Asymptotes 1

EXT Curve Sketching with Asymptotes 2

EXT Curve Sketching with Asymptotes 2

Recurring Decimals as Geometric Series

Recurring Decimals as Geometric Series

Limiting Sum of a Geometric Series

Limiting Sum of a Geometric Series

Sum of a Geometric Series

Sum of a Geometric Series

Sum of an Arithmetic Series

Sum of an Arithmetic Series

Induction with Divisibility

Induction with Divisibility

Sigma Notation

Sigma Notation

Arithmetic Sequences

Arithmetic Sequences

Problems involving APs and GPs

Problems involving APs and GPs

Geometric Sequences

Geometric Sequences

Introduction to Sequences

Introduction to Sequences

Induction with Sums

Induction with Sums

Induction with inequalities

Induction with inequalities

Dependent and Independent Events

Dependent and Independent Events

Events with and without replacement

Events with and without replacement

Conditional Probability

Conditional Probability

What is mathematical induction?

What is mathematical induction?

Proof by Mathematical Induction

Proof by Mathematical Induction

Areas of Quadrilaterals

Areas of Quadrilaterals

Area of Composite Shapes

Area of Composite Shapes

Area of Circular Shapes

Area of Circular Shapes

Limits of Accuracy

Limits of Accuracy

Units of Measurement

Units of Measurement

Linear Equations

Linear Equations

General form of a line

General form of a line

Tangents and Focal Chords

Tangents and Focal Chords

Chords and Parabolas

Chords and Parabolas

x and y intercepts

x and y intercepts

Tangents and Parabolas

Tangents and Parabolas

Normals and Parabolas

Normals and Parabolas

Misleading Data

Misleading Data

Standard Deviation

Standard Deviation

Comparing Data Sets

Comparing Data Sets

Shape of Data

Shape of Data

Box and Whisker Plots

Box and Whisker Plots

Interquartile Range

Interquartile Range

Range

Range

Measures of Centre

Measures of Centre

Frequency Tables, Histograms and Polygons

Frequency Tables, Histograms and Polygons

Stem and Leaf Plots

Stem and Leaf Plots

Dot Plots

Dot Plots

Types of Data

Types of Data

Census or Sample

Census or Sample

$More equations with fractions$

More equations with fractions

Simple Interest

Simple Interest

Medicare Levy

Medicare Levy

PAYG Tax

PAYG Tax

Income Tax

Income Tax

Parametric equation of the parabola

Parametric equation of the parabola

Introduction to Parametrics

Introduction to Parametrics

Angle between two curves

Angle between two curves

Holiday Loading

Holiday Loading

Bonus Payments

Bonus Payments

Piecework

Piecework

Commission

Commission

Overtime and Penalty Rates

Overtime and Penalty Rates

Wages

Wages

Salaries

Salaries

General solution to trig equations - tan

General solution to trig equations - tan

General solution to trig equations - sin

General solution to trig equations - sin

General solution to trig equations - cos

General solution to trig equations - cos

Solving Cubic Equations

Solving Cubic Equations

Graphing Inequalities

Graphing Inequalities

Trig with complementary angles

Trig with complementary angles

Quadratic trig equations

Quadratic trig equations

Single variable trig equations

Single variable trig equations

Trig equations with sin and cos

Trig equations with sin and cos

Trig equations with sums, differences, and double angles

Trig equations with sums, differences, and double angles

Deriving the Quadratic Formula

Deriving the Quadratic Formula

Powers of products and quotients

Powers of products and quotients

Problems involving sin and cos

Problems involving sin and cos

Multi stage events

Multi stage events

t formulae

t formulae

Sample Space

Sample Space

Mutually Exclusive Events

Mutually Exclusive Events

Double Angle Formulae

Double Angle Formulae

Solving Sum and Difference Problems

Solving Sum and Difference Problems

Deriving the sum and difference formulae

Deriving the sum and difference formulae