Канал: Anna McKie Math

13E.2 Exponential Decay

13E.2 Exponential Decay

13D Solving Exponential Equations

13D Solving Exponential Equations

13E.1 Exponential Growth

13E.1 Exponential Growth

13C Graphs of exponential functions

13C Graphs of exponential functions

12G Simultaneous Equations

12G Simultaneous Equations

13B Exponential Functions

13B Exponential Functions

12C Using Linear Functions

12C Using Linear Functions

12D Graphing Lines from equations

12D Graphing Lines from equations

12A Linear relationships

12A Linear relationships

12B Graphing Linear Equations

12B Graphing Linear Equations

14.A Matrix structure Introduction to Matrices

14.A Matrix structure Introduction to Matrices

14C Matrix Multiplication

14C Matrix Multiplication

14E Costing and Inventory Problems using Matrices

14E Costing and Inventory Problems using Matrices

14B.1 & 14B.2 Matrix Operations

14B.1 & 14B.2 Matrix Operations

15F Maximum Flow

15F Maximum Flow

15E.1 & E.2 Shortest Connection

15E.1 & E.2 Shortest Connection

15B.1 & B.2 Number of paths

15B.1 & B.2 Number of paths

15D Longest path

15D Longest path

15C.2 Shortest Path

15C.2 Shortest Path

15A.1 & A.2 Introduction to networks

15A.1 & A.2 Introduction to networks

4D Selling Shares

4D Selling Shares

3F.1 Credit Cards

3F.1 Credit Cards

4H.1 & H.2 Dividends

4H.1 & H.2 Dividends

4C Buying Shares

4C Buying Shares

3E.2 Inflation

3E.2 Inflation

3E.1 Taxation

3E.1 Taxation

3F.3 Personal Loans

3F.3 Personal Loans

4E Break Even Price

4E Break Even Price

3D.2 Term Deposits

3D.2 Term Deposits

3D.1 Savings Accounts

3D.1 Savings Accounts

3C.5 Annualising an interest rate

3C.5 Annualising an interest rate

3C.4 Compound Interest using a Graphics Calculator

3C.4 Compound Interest using a Graphics Calculator

3C.2 Compound Interest with a Formula

3C.2 Compound Interest with a Formula

3C.1 Compound Interest via a table

3C.1 Compound Interest via a table

3B Simple Interest

3B Simple Interest

Sine rule (ambiguous case) 11D.3

Sine rule (ambiguous case) 11D.3

Sine rule (finding sides) 11D.1

Sine rule (finding sides) 11D.1

Sine rule (finding angles) 11D.2

Sine rule (finding angles) 11D.2

Heron's formula 11B.2

Heron's formula 11B.2

Area of a Triangle 11B.1

Area of a Triangle 11B.1

Cosine Rule 11C

Cosine Rule 11C

True Bearings and Navigation 10F

True Bearings and Navigation 10F

Problem solving with Trigonometry 10E

Problem solving with Trigonometry 10E

Review of Trigonometry 10A and 10B

Review of Trigonometry 10A and 10B

Finding sides and angles 10C.1 and 10C.2

Finding sides and angles 10C.1 and 10C.2

6B and 6D.1 Pythagoras Worded Problems

6B and 6D.1 Pythagoras Worded Problems

6A Pythagoras Review

6A Pythagoras Review

9J.1 Normal Distribution

9J.1 Normal Distribution

9J.2 Normal Distribution using NCD

9J.2 Normal Distribution using NCD

9I Standard Deviation

9I Standard Deviation

9B Types of Data

9B Types of Data

9A.2 Three sampling methods

9A.2 Three sampling methods

9A.1 Sample size

9A.1 Sample size

9H.3 Testing for Outliers

9H.3 Testing for Outliers

2A.1 Solving quadratic equations Part 1 of 3

2A.1 Solving quadratic equations Part 1 of 3

2A.2 Completing the Square

2A.2 Completing the Square

2A.3 The Quadratic formula

2A.3 The Quadratic formula

9H.1 and 9H.2 Box and whisker plots

9H.1 and 9H.2 Box and whisker plots

9G Range and IQR

9G Range and IQR

13F Growth and Decay

13F Growth and Decay

9F.1 Mean, Median, Mode

9F.1 Mean, Median, Mode

13E Solving exp equations using logs

13E Solving exp equations using logs

9F.2 Mean, median and mode - which measure is best?

9F.2 Mean, median and mode - which measure is best?

Measures of Spread Range and IQR

Measures of Spread Range and IQR

Probability

Probability

Types of data

Types of data

Surveying and sampling

Surveying and sampling

Tree Diagrams

Tree Diagrams

Two Step Experiments

Two Step Experiments

Measures of Centre

Measures of Centre

Interpreting graphs and tables

Interpreting graphs and tables

Graphs of frequency tables

Graphs of frequency tables

Frequency tables and tallies

Frequency tables and tallies

4F Integrating f(ax+b)

4F Integrating f(ax+b)

4E.1 and E.2 Rules for Integration

4E.1 and E.2 Rules for Integration

Mean and Median from Grouped Data

Mean and Median from Grouped Data

9F.2 Sample size for proportions

9F.2 Sample size for proportions

9F.1 and 9F.3 Confidence intervals for proportions and testing claims about p

9F.1 and 9F.3 Confidence intervals for proportions and testing claims about p

9E Sample Proportions

9E Sample Proportions

9D.2 Determining sample size

9D.2 Determining sample size

8E The Standard Normal Distribution

8E The Standard Normal Distribution

8C and 8D The Normal Distribution (probabilities using a calculator)

8C and 8D The Normal Distribution (probabilities using a calculator)

8B.2 Probability Density Functions

8B.2 Probability Density Functions

8B.1 Probability Density Functions

8B.1 Probability Density Functions

8A Continuous Random Variables

8A Continuous Random Variables

13D.1 Natural logarithms

13D.1 Natural logarithms

13D.2 Laws of natural logarithms

13D.2 Laws of natural logarithms

13C Laws of logarithms

13C Laws of logarithms

3L Proof using vector geometry

3L Proof using vector geometry

3K Vector projection

3K Vector projection

3J Angle between two vectors - Part 2 of 2

3J Angle between two vectors - Part 2 of 2

3J Angle between two vectors - Part 1 of 2

3J Angle between two vectors - Part 1 of 2

13B Logarithms in base a

13B Logarithms in base a

3I The scalar product of two vectors

3I The scalar product of two vectors

12I.1 Growth (Growth and Decay)

12I.1 Growth (Growth and Decay)

12I.2 Decay (Growth and Decay)

12I.2 Decay (Growth and Decay)

13A Logarithms in base 10

13A Logarithms in base 10

12F.1 and F.2 Algebraic expansion and factorisation

12F.1 and F.2 Algebraic expansion and factorisation

12G Exponential equations

12G Exponential equations

12H Exponential Functions

12H Exponential Functions

12D Scientific notation

12D Scientific notation

3F The vector between two points

3F The vector between two points

12E Rational indices

12E Rational indices

3G.1 Parallelism and unit vectors

3G.1 Parallelism and unit vectors

3G.2 Collinear points

3G.2 Collinear points

3H Problems with vectors

3H Problems with vectors

3E Operations with Plane Vectors

3E Operations with Plane Vectors

12B and C Indices and Index Laws

12B and C Indices and Index Laws

7E Properties of aX + b

7E Properties of aX + b

12A.3 Division by surds Integer denominator

12A.3 Division by surds Integer denominator

12A.1 and A.2 Surds

12A.1 and A.2 Surds

7D Variance and standard deviation

7D Variance and standard deviation

7F The Bernoulli Distribution

7F The Bernoulli Distribution

3D Magnitude of vectors

3D Magnitude of vectors

3C Vectors in the plane

3C Vectors in the plane

3B.2 and B.3 Vector subtraction and equations

3B.2 and B.3 Vector subtraction and equations

3B.1 Geometric Operations with Vectors

3B.1 Geometric Operations with Vectors

3B.4 Geometric scalar multiplication

3B.4 Geometric scalar multiplication

3A.1 and A.2 Vectors and Scalars

3A.1 and A.2 Vectors and Scalars

4E Graphing cubic functions

4E Graphing cubic functions

4D.1 and D.2 Solving cubic equations

4D.1 and D.2 Solving cubic equations

Blooper

Blooper

4C Factorising cubic polynomials

4C Factorising cubic polynomials

4B Zeros, roots and factors

4B Zeros, roots and factors

4A.1 and A.2 Polynomials

4A.1 and A.2 Polynomials

7F Using trigonometric functions

7F Using trigonometric functions

7D The tangent function

7D The tangent function

2G Problem solving with quadratics

2G Problem solving with quadratics

7E.1 & E.2 Trigonometric equations: solving graphically and using technology

7E.1 & E.2 Trigonometric equations: solving graphically and using technology

2H Quadratic Optimisation

2H Quadratic Optimisation

7E.3 Trigonometric equations: solving algebraically

7E.3 Trigonometric equations: solving algebraically

2F Where functions meet

2F Where functions meet

2E Finding a quadratic from its graph

2E Finding a quadratic from its graph

7C The cosine function

7C The cosine function

5C The unit circle

5C The unit circle

2D.4 Discriminant, positive/negative definite

2D.4 Discriminant, positive/negative definite

5D.1 Applications of the unit circle

5D.1 Applications of the unit circle

2D.3 Sketching graphs directly

2D.3 Sketching graphs directly

2D.1 Sketching quadratic functions

2D.1 Sketching quadratic functions

2B The discriminant of a quadratic

2B The discriminant of a quadratic

2D.2 Sketching by completing the square

2D.2 Sketching by completing the square

3C Stationary points

3C Stationary points

3D.1 Inflections and Shape

3D.1 Inflections and Shape

5A Radians

5A Radians

3G.2 Equation of a circle - expanded form

3G.2 Equation of a circle - expanded form

3G.1 Graphs of circles

3G.1 Graphs of circles

3E Sign diagrams

3E Sign diagrams

3D Composite functions

3D Composite functions

3C Domain and range Part 2 of 2

3C Domain and range Part 2 of 2

10F.2 Geometric Series: Infinite

10F.2 Geometric Series: Infinite

10F.1 Geometric Series: Finite

10F.1 Geometric Series: Finite

10E Arithmetic series

10E Arithmetic series

3C Domain and range Part 1 of 2

3C Domain and range Part 1 of 2

10C.2 Compound Interest

10C.2 Compound Interest

10D Series

10D Series

10C.1 Geometric sequences Part 2 of 2

10C.1 Geometric sequences Part 2 of 2

10C.1 Geometric sequences Part 1 of 2

10C.1 Geometric sequences Part 1 of 2

3B Function notation

3B Function notation

3A Relations and functions

3A Relations and functions

1D Rational functions

1D Rational functions

1C Reciprocal Functions

1C Reciprocal Functions

10B Arithmetic sequences - Part 3 of 3

10B Arithmetic sequences - Part 3 of 3

10B Arithmetic sequences - Part 2 of 3

10B Arithmetic sequences - Part 2 of 3

10B Arithmetic sequences - Part 1 of 3

10B Arithmetic sequences - Part 1 of 3

1B Inverse proportion

1B Inverse proportion

1A Linear relationships

1A Linear relationships

9D.3 Testing claims about mu

9D.3 Testing claims about mu

9D.1 Confidence intervals - part 2 of 2

9D.1 Confidence intervals - part 2 of 2

9D.1 Confidence intervals - part 1 of 2

9D.1 Confidence intervals - part 1 of 2

9C The Central Limit Theorem

9C The Central Limit Theorem

9B Distributions of sample means

9B Distributions of sample means

9A Sampling distributions

9A Sampling distributions

8F.1 Inverse normal

8F.1 Inverse normal

8F.2 Finding the mean or standard deviation

8F.2 Finding the mean or standard deviation

5B The area between two functions

5B The area between two functions

5A The area under a curve - part 1 of 2

5A The area under a curve - part 1 of 2

5D Problem solving by integration

5D Problem solving by integration

5C Motion (Integration)

5C Motion (Integration)

5A The area under a curve - part 2 of 2

5A The area under a curve - part 2 of 2

5B The area between two functions - Trig

5B The area between two functions - Trig

4A.1 Upper and lower rectangles

4A.1 Upper and lower rectangles

4D Discovering integrals

4D Discovering integrals

4G Definite Integrals

4G Definite Integrals

7G.3 The mean and standard deviation of a binomial distribution

7G.3 The mean and standard deviation of a binomial distribution

7G.2 The Binomial Distribution - part 2 of 2

7G.2 The Binomial Distribution - part 2 of 2

7G.1 The Binomial Distribution - part 1 of 2

7G.1 The Binomial Distribution - part 1 of 2

7C.3 Expected Value part 3 of 3

7C.3 Expected Value part 3 of 3

7C.2 Expected value part 2 of 3

7C.2 Expected value part 2 of 3

7C.1 Expected value part 1 of 3

7C.1 Expected value part 1 of 3

7B Discrete probability distributions part 2 of 2

7B Discrete probability distributions part 2 of 2

7B Discrete probability distributions part 1 of 2

7B Discrete probability distributions part 1 of 2

7A Random variables

7A Random variables

3G Optimisation

3G Optimisation

3D.2 Graphs of f(x), f'(x), f''(x)

3D.2 Graphs of f(x), f'(x), f''(x)

3E Motion

3E Motion

3F Rates of change

3F Rates of change

3B Increasing and decreasing functions

3B Increasing and decreasing functions

3A Equations of tangents part 2 of 2

3A Equations of tangents part 2 of 2

3A Equations of tangents part 1 of 2

3A Equations of tangents part 1 of 2

Solving within a formula

Solving within a formula