Download Course Outline MM 2016 (2)

Unit 3 & 4 Methods
Topic
Holiday Homework
 Linear Equations and Applications
 Literal and simultaneous equations
 Linear Coordinate geometry
 Matrices
 Set Notation
 Identifying and describing relations and functions
Textbook
1A, 1B
2A – 2E
Weeks
Assessment
Functions and Relations
 Relation/function
 Domain, codomain and range
 Power functions and their graphs
 Composite \functions
 Inverse (conditions for existence of inverse,
connection between domain and range, graphs)
 Sum, difference and product of functions
 Hybrid functions
 Simultaneous equations (including no/infinite
solutions)
Transformation of Functions
 Translations, dilations, reflections
 Combinations of transformations
 Matrices for transformations
Polynomials
 Solving polynomial equations
 Literal equations
 Graphs of polynomials
 Transformations
Holiday Homework
 Basic differentiation
 Index Laws and exponential equations
1C – 1H
2F, 2G
2
(term 1)
Outcome Test
(chapters 1 & 2)
3A – 3J
2
(term 1)
4A – 4H
3
(term 1)
Exponential and Logarithmic Functions
 Index/log laws
 Graphs of exponentials and logs
 Transformations
 Inverse
 Solving equations (including literal)
 Exponential Growth and decay
Differentiation
 Derivatives of polynomials, exponentials, log
 Sum, difference, product, quotient, chain rule
 Equations of tangents
 Average and instantaneous rate of change
 Curve sketching
 Intervals when functions are stationary
 Identifying local max/min and absolute max/min
 Maxima and minima problems
 Identification of maximum/minimum rate of
decrease
SAC: APPLICATION TASK
5A – 5I
9B, 9C
5C
2
(term 2)
Brief review
of calculus
at start of
lessons
9E, 9F, 9G,
9H, 9J, 9K
4
(term 2)
10A - 10G
(excluding
circular
functions)
Week 8
Outcome Test
(Chapters 3 & 4)
Circular Functions
 Unit circle, exact values, symmetry properties
 Solving trig equations (including general solutions)
 Graphs and transformations
 Modelling
Holiday Homework
 More power functions
 More sums, products and addition of ordinates
6A – 6L
2
(term 2)
Functions continued
 Composite, inverse functions
 Function notation
 Literal equations
 Strictly increasing and decreasing functions
Differentiation continued
 Derivative graphs
 Derivatives of trig functions
 Informal understanding of limits, continuity and
differentiability
 Product, quotient and chain rules related to circular
functions
 Selected applications of differentiation related to
circular functions
Integration
 Approximate area under a curve (using rectangles)
 Antiderivatives of polynomials, exponentials, trig,
combinations of functions
 Anti-differentiation by recognition
 Fundamental theorem of calculus
 Definite integrals and properties of
 Finding a function from a known rate of change
 Area under and between curves
 Modelling including distance in a straight line and
cumulative effects of growth
 Average Value of a function
SAC: Modelling Task (Calculus)
Discrete Probability
 Concepts of random variable, sample space, discrete
and continuous random variables
 Discrete random variables
 Probability functions
 Calculation and interpretation of mean, variance and
standard deviation
 Calculation of probabilities, including conditional
probability
 Bernoulli trials and the binomial distribution
 Effect of variation of parameters
 Modelling
Continuous Probability
 Continuous random variables and probability density
functions
 Calculation and interpretation of mean, variance and
standard deviation
 The standard normal distribution and transformed
normal distributions
7B, 7D, 7E
1
(term 3)
9I, 9L, 9M,
9D
1
(term 3)
7A, 7C
Selected
questions
from
chapter 10
& 9J, 9K
11A – 11K
13A – 13D
2
(term 3)
Week 5
2 weeks
(term 3)
14A – 14D
15A – 15E
16A – 16E
3 weeks
(term 3)
Outcome Test
(chapter 11)

Calculation of probabilities, including conditional
probability
Statistics
 Statistical inference and sample proportions
 Simulations, confidence intervals
 Population parameters and sample statistics
 Sample proportion as a random variable
SAC: Modelling Task (Probability)
17A – 17D
1 week
(term 3)
Week 2
(term 4)