Maths Quest: Maths B for Queensland, Year 11

Maths Quest: Maths B for Queensland, Year 12

Course Outline: Semester 1

Note: Suggested times include time for maintenance of mathematical techniques.

Topic / No / Time / Subject Matter / Text Ref
Introduction to functions / 1 / 9 / Linear functions
Solving equations
Equation of a straight line
Simultaneous equations / Chapter 1
Maths B
Year 11
Introduction to functions / 2 / 9 / Relations and functions
Notation
Domain and range
Circles
Modelling / Chapter 2
Maths B
Year 11
Introduction to functions / 3 / 9 / Non-linear functions
Parabola
Hyperbola
Cubic
Absolute value
Square root / Chapter 3
Maths B
Year 11
Periodic functions and applications / 4 / 7 / Triangle trigonometry
Right-angled triangles
Sine rule
Cosine rule / Chapter 4
Maths B
Year 11
Periodic functions and applications / 5 / 6 / Periodic functions
Period and amplitude
Radian measure
Graphs / Chapter 5
Maths B
Year 11
Periodic functions and applications / 6 / 6 / Trigonometric equations
Solving equations
Identities
Modelling / Chapter 6
Maths B
Year 11
Exponential and logarithmic functions
and applications / 7 / 9 / Exponential and logarithmic
functions
Indices
Graphs of exponential functions
Logarithms
Applications / Chapter 7
Maths B
Year 11

Course Outline: Semester 2

Topic / No / Time / Subject Matter / Text Ref
Exponential and logarithmic functions
and applications (10)
Introduction to functions (2) / 8 / 12 / Applications of exponential and
logarithmic functions in finance
Geometric sequences
Growth and decay
Compound interest
Loans / Chapter 8
Maths B
Year 11
Applied statistical analysis / 9 / 6 / Presentation of data
Collecting data
Displaying data
Bias / Chapter 9
Maths B
Year 11
Applied statistical analysis / 10 / 6 / Summary statistics
Central tendency
Range
Stem plots
Box plots / Chapter 10
Maths B
Year 11
Applied statistical analysis / 11 / 6 / Introduction to probability
Single event probability
Relative frequency
Modelling / Chapter 11
Maths B
Year 11
Rates of change (10)
Introduction to functions (2) / 12 / 12 / Rates of change
Constant rates
Variable rates
Average
Instantaneous
Motion graphs
Rates of change of polynomials / Chapter 12
Maths B
Year 11
Rates of change (12)
Introduction to functions (1) / 13 / 13 / Differentiation and applications
Limit
First principles
Derivatives by rule
Rates of change / Chapter 13
Maths B
Year 11

Course Outline: Semester 3

Topic / No / Time / Subject Matter / Text Ref
Introduction to functions (5)
Rates of change (6)
Optimisation (2) / 14 / 13 / Modelling change
Using x2, x3, x4
Differentiation
The derivative and the graph / Chapter 1
Maths B
Year 12
Optimisation using derivatives / 15 / 8 / Optimisation using derivatives
Sketching graphs
Greatest and least values
Stationary values / Chapter 2
Maths B
Year 12
Optimisation / 16 / 8 / Applications of derivatives to
optimisation / Chapter 3
Maths B
Year 12
Periodic functions and applications / 17 / 8 / Periodic functions and applications
Review of basic concepts
Graphs of trigonometric functions
Applications of trigonometric
functions / Chapter 4
Maths B
Year 12
Periodic functions and applications
(4)
Optimisation (2)
Rates of change (2) / 18 / 8 / Calculus of trigonometric functions
Derivatives of trigonometric
functions
Applications of the derivative / Chapter 5
Maths B
Year 12
Exponential and logarithmic
functions / 19 / 10 / Review of exponential and
logarithmic functions
Definition of:
ex
ln(x)
Applications of exponential and
logarithmic functions / Chapter 6
Maths B
Year 12

Course Outline: Semester 4

Topic / No / Time / Subject Matter / Text Ref
Exponential and logarithmic
functions (8)
Optimisation (2)
Rates of change (2) / 20 / 12 / Derivatives of logarithmic and
exponential functions
Differentiation
Optimisation / Chapter 7
Maths B
Year 12
Introduction to integration / 21 / 15 / Introduction to integration
Numerical techniques for finding
area
Definition of definite integral
Limit of a sum as a definite integral
Fundamental theorem of calculus / Chapter 8
Maths B
Year 12
Introduction to integration / 22 / 13 / Applications of the integral
Rules for integration
Physical area
Algebraic area
Practical problems / Chapter 9
Maths B
Year 12
Applied statistical analysis / 23 / 8 / Probability distributions
Probability distributions
Expected value
Binomial / Chapter 10
Maths B
Year 12
Applied statistical analysis / 24 / 7 / Normal distribution
Normal distribution
Hypothesis testing / Chapter 11
Maths B
Year 12