Download 12 Methods Program 2017

Mathematics
Learning Area Program Overview
Semester 1, 2016
Year:
12
Week
Term 4
2015
3
Course:
Methods
Class:
All
Teacher:
Mr P Smith
Coursework Topics and Texts
Evaluation
Strategies
Chapter 1: Differentiation
1A Second (and higher order) derivatives.
1B The product rule.
1C The quotient rule.
1D The chain rule.
Miscellaneous Exercise 1.
4
Chapter 2: Applications of Differentiation
2A Examining the second derivative.
Locating turning points and points of inflection.
Sketching graphs.
2B Rates of change.
2C Acceleration.
5
Chapter 2: Applications of Differentiation
2D Optimisation.
2E Small changes.
Small percentage chances.
Marginal rates of change.
Miscellaneous Exercise 2.
6
Chapter 3: Antidifferentiation
3A Antidifferentiation
3B Antidifferentiating powers of 𝑥.
Further antidifferentiation.
7
REVISION
Term 1
1
2
3
Test 1 – (6%)
Chapter 3: Antidifferentiation
3C Rectilinear motion.
Miscellaneous Exercise 3.
Chapter 4: Area Under a Curve
4A Area under a curve.
4B Definite Integrals.
Chapter 4: Area Under a Curve
4C Area under a curve – further examples.
Regions that are wholly or partly below the x-axis.
Area between curves.
4D Using definite integrals to find total change from rate of change.
Miscellaneous Exercise 4.
Investigation 1
– (6%)
Disclaimer:
The information contained in this outline is subject to change if a need exists and is, therefore, provided as a guide. This outline
indicates approximate times that assessments will be conducted and students should always confirm assessment timing with
their classroom teacher.
Mathematics
Learning Area Program Overview
Semester 1, 2016
Year:
12
4
5
Course:
Methods
All
Teacher:
Mr P Smith
Chapter 5: Fundamental Theorem of Calculus
5A The fundamental theorem of calculus.
5B Fundamental theorem applications.
Miscellaneous Exercise 6.
Chapter 6: The Exponential Function
6A Growth and decay.
6B The derivative of
6
Class:
ex .
Chapter 6: The Exponential Function
6C More on growth and decay.
6D Integrating exponential functions.
Miscellaneous Exercise 6.
Test 2 – (7%)
Chapter 7: Calculus of Trigonometric Functions
7
7A
sinh
h 0 h
1  cosh
lim
h 0
h
lim
8
Chapter 7: Calculus of Trigonometric Functions
7B Antidifferentiation of functions involving sine and cosine.
Miscellaneous Exercise 7.
9
Chapter 8: Discrete Random Variables
8A Discrete random variables.
8B Mean or expected value of a discrete random variable.
The standard deviation of a discrete random variable.
Miscellaneous Exercise 8.
Investigation 2
– (7%)
Chapter 9: Bernoulli and Binomial Distributions
10
9A Bernoulli distributions.
Binomial distributions.
Graphs of binomial distributions.
9B Values from tables and calculators.
Assessing improvement using a binomial model.
Test 3 – (7%)
Miscellaneous Exercise 9.
Term 2
1
Unit 3 Revision
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Disclaimer:
The information contained in this outline is subject to change if a need exists and is, therefore, provided as a guide. This outline
indicates approximate times that assessments will be conducted and students should always confirm assessment timing with
their classroom teacher.
Mathematics
Learning Area Program Overview
Semester 1, 2016
Year:
12
Course:
Methods
Class:
All
Teacher:
Mr P Smith
Unit 3 Revision
2
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Unit 3 Revision
3
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Unit 3 Revision
4
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
5
EXAMINATIONS
6
EXAMINATIONS
7
Chapter 1: Logarithmic Functions
1A Logarithms.
1B Laws of logarithms.
8
Chapter 1: Logarithmic Functions
1C Using logarithms to solve equations.
1D Natural logarithms.
9
Chapter 1: Logarithmic Functions
1E Logarithmic functions.
Graphs of logarithmic functions.
1F Logarithmic scale.
Graphs with logarithmic scales.
Use of logarithmic scales.
Miscellaneous Exercise 1.
10
Chapter 2: Calculus Involving Logarithmic Functions
2A Differentiating y  ln x.
2B Integration to give logarithmic functions.
Miscellaneous Exercise 2.
Examination 1 (15%)
Test 4 – (10%)
Disclaimer:
The information contained in this outline is subject to change if a need exists and is, therefore, provided as a guide. This outline
indicates approximate times that assessments will be conducted and students should always confirm assessment timing with
their classroom teacher.
Mathematics
Learning Area Program Overview
Semester 1, 2016
Year:
12
Course:
Methods
Class:
All
Teacher:
Mr P Smith
Chapter 3: Continuous Random Variables
Term 3
1
3A Distribution as a histogram.
3B Continuous random variables.
Probability density function (pdf).
Uniform (or rectangular) distributions.
Chapter 3: Continuous Random Variables
2
3C Non-uniform distributions.
3D Expected value, variance and standard deviation.
Change of scale and origin.
Cumulative distribution function.
Miscellaneous Exercise 3.
3
Chapter 4: The Normal Distribution
4A Standard scores.
4B Normal distribution.
Using a calculator.
In the old days – using a book of tables.
4
Chapter 4: The Normal Distribution
4C Notation.
Quantiles.
The normal distribution pdf.
4D Using the normal distribution to model data.
Can we use the normal distribution to model discrete data?
Limitations of probability models for predicting real
behaviour.
Miscellaneous Exercise 4.
5
Chapter 5: Random Sampling
5A Sampling.
How big should our sample be?
How should we select our sample?
Random sampling.
Generating random numbers.
Stratified sampling.
Other forms of sampling.
Capture – recapture.
5B Simulations.
Random number generating from other distributions.
More simulations.
Variability of random samples.
Miscellaneous Chapter 5.
6
Chapter 6: Sample Proportions
6A Variation between samples.
Investigation 3
– (7%)
Disclaimer:
The information contained in this outline is subject to change if a need exists and is, therefore, provided as a guide. This outline
indicates approximate times that assessments will be conducted and students should always confirm assessment timing with
their classroom teacher.
Mathematics
Learning Area Program Overview
Semester 1, 2016
Year:
12
Course:
Methods
Class:
All
Teacher:
Mr P Smith
Sample proportion distribution.

How would we determine the distribution of p if we don’t know p ?
Why is it useful to know how the sample proportions are distributed?
6B Confidence intervals.
Margin of error.
Sample size.
Increasing the level of confidence increases the margin of error.
Let’s check.
Miscellaneous Chapter 6.
Unit 3 & 4 Revision
7
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Test 5 – (10%)
Unit 3 & 4 Revision
8
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Unit 3 & 4 Revision
9
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
Unit 3 & 4 Revision
10
School
Holidays
Term 4
Higher Order Application Problems – O.T. Lee & Academic Associates
Study Guides
EXAMINATIONS
Examination 2 (25%)
Return Examinations & Revision
1
2
Return Examinations & Revision
Disclaimer:
The information contained in this outline is subject to change if a need exists and is, therefore, provided as a guide. This outline
indicates approximate times that assessments will be conducted and students should always confirm assessment timing with
their classroom teacher.