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Units 3 & 4 Mathematical Methods

Topics
Click to jump to Videos and resources on the topic
Functions, Relations, Coordinate Geometry
Polynomials
Exponentials and Logarithms
Circular Functions
Other Functions
Differential Calculus
Integral Calculus
Probability & Statistics
Exam Resources
Access the Exam Resource Page HERE
 
Functions, Relations, Coordinate Geometry
Sum, Difference and Product of Functions
Simultaneous Equations, Parameters
Combinations of Transformations
Graphing & Transformations
Determining Rules
Determining Rules -  Notes
Transformations with Inverse Matrices
2019 Lesson
2020 Lesson
Composite Functions
Transformations, Translation, Dilation, Reflection
Determining Transformations
Power Functions
Power Functions - Notes
Transformations with Matrices
Matrices for Transformations
File Size: 139 kb
File Type: pdf
Download File

 
Polynomials
Quadratic Functions
Polynomial Properties
Cubic Functions
 Determining  Rules for Parabolas
Division and Factorisation of Polynomials
Higher Power Polynomials
Finding Polynomial Rules
Literal & Simultaneous Equations
 
Exponentials and Logarithms
Exponential Functions
Euler's Number
Exponential Equations
Logarithms
Index Laws
File Size: 168 kb
File Type: pdf
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Logarithms and Laws
File Size: 195 kb
File Type: pdf
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Graphing Log Functions
Rules from Graphs or Points
Solving Equations Using Logs
Exponential Growth & Decay (class video)
Inverse of Exponentials and Logarithms
Exponential Growth & Decay (ShowMe)
 
PictureGeoGebra Classic
Circular Functions
Some animations require GeoGebra Classic
It can be downloaded at 
https://www.geogebra.org/download

Radian, Exact Values, Symmetry
exact_values_of_trigonometric_functions.docx
File Size: 20 kb
File Type: docx
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symmetry_and_complementary_properties.docx
File Size: 13 kb
File Type: docx
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Trigonometric Equations
Addition of Ordinates, Finding Rules
General Solutions, Applications
Sin & Cos Graphs - Dilations
sine graph - GeoGebra
File Size: 5 kb
File Type: ggb
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cos graph - GeoGebra
File Size: 3 kb
File Type: ggb
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Sin & Cos Graphs - All Transformations
transformation of sine graph - GeoGebra
File Size: 6 kb
File Type: ggb
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cos graph animated - GeoGebra
File Size: 3 kb
File Type: ggb
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Tangent - Graphs & Equations
 
OTHER FUNCTIONS
Power Functions, Odd and Even

f(x)=x^(p/q)
File Size: 205 kb
File Type: docx
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Function notation and identities
Determining Rules & Literal equations
Composite & Inverse Functions
Sums & Products of Functions
Families of Functions

 
Differential Calculus
Derivative of x^n
Chain Rule
Derivative of Circular Functions
Quotient Rule
Tangents and Normals
Using Classpad to find Tangent & Normal
File Size: 229 kb
File Type: pdf
Download File

Stationary Points
Families - Finding Rules
keep an eye out for my error in this one
the good news is it gets fixed

Graph of Derivative, Differentiability
Derivative of e^x and Ln x
derivative_of_e^x - Geogebra
File Size: 22 kb
File Type: ggb
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Product Rule
Limits and Continuity
Rates of Change
Maximum & Minimum Problems
 
Integral Calculus
Area Under Graph & Antidifferentiation
The Fundamental Theorem of Calculus & Area
Area Between Curves & Applications
Antiderivative of (ax+b)^n, (ax+b)^-1, e^(kx)
Integration of Circular Functions
Motion Examples
 
Probability and Statistics
Probability Basics - Sample Space, Conditional, Karnaugh map, Independent events
Binomial Probability Distribution - Formula, Graph, Expectation Value, Variance
binomial pdf and pascals triangle
File Size: 222 kb
File Type: pdf
Download File

Continuous Random Variables - Mean, Percentiles, Median
Normal Distribution - Definitions, Symmetry, 68-95-99.7% Rule
Population and Samples - Population proportion, Sample proportion, Distribution of sample proportion

Discrete Random Variables - probability distribution, expectation value, mean, variance
Binomial Probability Distribution - Sample size

finding binomial sample size using classpad calculator
File Size: 340 kb
File Type: pdf
Download File

Continuous Random Variables - Measures of Spread, Variance, IQR, Standard Deviation
Normal Distribution - Calculating Probabilities, Approximation to the Binomial Distribution
Distribution of Sample Proportion - Point & Interval estimates, Confidence intervals, Precision, Margin of Error
Contact Synno
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  • Home
  • Units 1 & 2 Physics
    • Thermal
    • Elect U1
    • Matter
    • Motion-2
    • Radiation-Health
  • Units 3 & 4 Physics
    • Motion 3-4
    • Move without contact
    • Electrical Energy
    • Waves-Light
    • Light-Matter
    • Practical Investigation
    • Physics Exam Resources >
      • 2021 Physics Exam Videos
  • Maths Pages
    • 3-4 Methods >
      • Methods Exam Resources >
        • 2021 MM Exam 1 Videos
        • 2021 MM Exam 2 Videos
    • Units 1 & 2 Methods
    • Specialist Units 3 & 4 (2016-21) >
      • Specialist Maths Exam Resources >
        • 2021 SM Exam 1 Videos
        • 2021 SM Exam 2 Videos
    • Specialist Units 1 & 2 (2016-21)
    • 3-4 Further
  • Credits & Stuff
  • Previous Study Designs
    • Specialist 1-2 (2006-15)