SERPENTINE JARRAHDALE GRAMMAR SCHOOL
3AB MATHEMATICS 2013
COURSE OUTLINE
TERM 1
WEEK
1
2
3
COURSE CONTENT
REVIEW 3A
3A 1.1 ESTIMATION AND CALCULATION
 Estimation, absolute value, significant figures, rounding, truncating
 Index laws for numerical and algebraic expressions – simplify and use to solve
equations
3A 1.2 FUNCTIONS AND GRAPHS
 Sketching graphs of y=bx for b>0 & b≠e and for y=xn for n=2, 3, ½, ⅓, -1
 shift graphs up/down or left/right and describe new equation
3A 1.2 FUNCTIONS AND GRAPHS CONTINUED
 domain and range
 distinguish linear, quadratic, cubic, exponential & reciprocal functions in algebraic &
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4
5
sampling methods.
3A 3.4 REPRESENT DATA
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Chapter 5
Chapter 5
EXERCISES
Ex 2A
Ex 2B
Worksheets
Ex 5A
Ex 5B
Ex 5C
Worksheets
Ex 5C
Worksheets
WORK REQUIREMENTS
REVISON
ASSESSMENTS
Miscellaneous 2
Miscellaneous 5
Investigation 1
Test 1
geometric forms
describe graphs qualitatively (without calculators) considering intercepts, LOS, TP,
asymptotes, concavity & points of inflection; use function notation
3A 1.3 EQUATIONS AND INEQUALITIES
 solve quadratics & cubic by putting into factored form
 exponentials (abkx=c with b>0)
 simultaneous equations (linear and quadratic)
 inverse proportion and reciprocal functions.
3A 3.3 COLLET AND ORGANISE DATA

REFERENCE
TO TEXT
Prelim work
Chapter 2
frequency histograms for grouped & ungrouped data
boxplots for ungrouped data
mean, median, mode for ungrouped frequency data
weighted mean
Chapter 5
Ex 5D
Ex 5E
Worksheets
Miscellaneous 5
Chapter 6
Ex 6A
Ex 6B
Ex 6C
Ex 6D
Worksheets
Miscellaneous 6
6
3A 3.4 REPRESENT DATA CONTINUED
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7
Chapter 7
Ex 7A
Ex 7B
Ex 7C
Worksheets
Chapter 9
Ex 9A
Ex 9B
Chapter 9
Ex 9C
Worksheets
Miscellaneous 9
Chapter 8
Ex 8A
Ex 8B
Worksheets
Miscellaneous 8
describe spread between data in frequency tables and graphs (use gaps, clusters,
more/less dense regions, outliers, symmetry & skewness)
cumulative frequencies
quartiles & IQR for ungrouped data and use them to describe spread; standard deviation
for grouped & ungrouped data on classpad
identify extreme & unexpected values
calculate outliers more than 1.5 IQR beyond upper & lower quartiles.
3A 3.5 INTERPRET DATA
 discern connections, advantages & disadvantages between frequency histograms &
Miscellaneous 7
boxplots
8
 discern effects of different equal-sized class intervals on histograms
 discern viability of IQR, range & SD for ranking datasets in order of spread
 interpret spread summaries in terms of their mathematical definitions
3A 3.5 INTERPRET DATA CONTINUED
 reason to include or exclude outliers
 discern the effect of cropping data; compare datasets using mean, SD and skewness
 compare scores from two or more sets of data using number of SD from the
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9
mean(standard scores)
infer results for populations from samples; show how data can be manipulated to serve
different purposes.
3A 1.4 PATTERNS
 use recursion to determine terms & sums for sequences including arithmetic &
geometric sequences
use recursion to study growth & decay.
10
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3A 1.5 FINANCE
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11
construct & interpret spreadsheets for making financial decisions
judge adequacy of spreadsheets & refine
3A 1.5 FINANCE CONTINUED
 calculate loans with reducible interest, incl the number of years for the balance to fall to

Worksheets
specified amount
calculate annuities using spreadsheet; interpret & make decisions about loan &
repayment amounts with reducible interest.
Worksheets
Test 2
TERM 2
WEEK
1
COURSE CONTENT
3A 2.2 MEASURMENT
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2
3
4
5
7
8
9
10
unit circles for acute and obtuse degree measures using sine & cosine ratios
area∆ABC=½absin C
use sine & cosine rules for finding sides & angles of non-right triangles in 2D.
REVISION
REVISION
EXAMS
3A 3.1 QUANTIFY CHANCE
 use lists, tree diagrams & two-way tables to determine sample spaces for two and three

6
REFERENCE
TO TEXT
Chapter 1
EXERCISES
Prelim work
Ex 1A
Ex 1B
Ex 1C
Worksheets
Worksheets
Worksheets
WORK REQUIREMENTS
REVISON
ASSESSMENTS
Miscellaneous 1
Investigation 2
Past Exam
Exam
Chapter 3
Chapter 4
Ex 3A
Ex 3B
Chapter 4
Chapter 10
Ex 3C
Ex 4A
Worksheets
Ex 4B
Ex 4C
Miscellaneous 3
stage events
use Venn diagrams to determine sample spaces for two events& use subsets,
intersection, union & complement using appropriate set notation
3A 3.1 QUANTIFY CHANCE CONTINUED
 simple probabilities and probabilities for compound events
 addition & multiplication principles for counting and use these to calculate probabilities.
3A 3.2 INTERPRET CHANCE
 68%, 95% & 99.7% rule for data one, two & three SD from the mean
 Normal Distribution using appropriate probability notation.
3A INTERPRET CHANCE – CONTINUED
3A 2.1 RATE
 convert between rate units such as km/hr to m/sec
 interpret function of time relationships including dist/displacement relationships
 recognise that rate of change is constant for linear relationships.
3B 1.1 FUNCTIONS AND GRAPHS
 apply polynomial, exponential & power functions to practical situations.
 interpret graphs
Chapter 1
Miscellaneous 4
Ex 10A
Ex 10B
Worksheets
Miscellaneous 10
Ex 1A
Ex 1B
Worksheets
Miscellaneous 1
Test 3
Term 3
WEEK
1
2
3
COURSE CONTENT
3B 1.3 CALCULUS
 rate of change
 slope of curve at a point
 imits (informally)
3B 1.3 CALCULUS Continued
 differentiation of y=xn for whole number n
 sum & product rules.
3B 1.3 CALCULUS Continued
REFERENCE
TO TEXT
Chapter 2
EXERCISES
Chapter 2
Ex 2D
Ex 2E
Miscellaneous 2
Chapter 3
Ex 3A
Ex 3B
Ex 3C
Miscellaneous 3
Chapter 7
Ex 7A
Ex 7B
Worksheets
Chapter 7
Ex 7C
Ex 7D
Worksheets
Worksheets
Miscellaneous 7
Chapter 5
Ex 5A
Ex 5B
Worksheets
Miscellaneous 5
Chapter 6
Ex 6A
Ex 6B
Worksheets
Miscellaneous 6
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4
use differentiation to determine tangent lines at a point for polynomial functions (pt of
inflection not required) and use correct notation
 Use differentiation to solve optimisation problems.
3B 1.2 EQUATIONS AND INEQUALITES
 formulate & solve one-variable equations & inequalities
 formulate systems of linear equations & inequalities in two variables from word
descriptions
 solve systems of linear equations by elimination; linear programming
5
3B 1.2 EQUATIONS AND INEQUALITIES Continued
6
3B 1.4 PATTERNS
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7
8
describe association (positive, negative, weak, strong or none)
place on a scale of -1 to 1; correlation coefficient r on classpad
recognise correlation does not imply causality
discern ‘goodness of fit’ for regression lines using visual inspection
describe properties of regression lines such as it passes through (x , y)
calculate & graph regression models for data with linear trends
3B 3.2 INTERPRET DATA
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Ex 2A
Ex 2B
Ex 2C
predict from regression lines
recognised risks of extrapolating & assess reliability
explain why regression lines are used for prediction rather than data points & why
predicted and actual results are likely to differ
Test 4
Investigation 3
make conjectures about numbers(e.g. sum of two odd numbers is even)
search for counter-examples in order to disprove them
construct simple deductive proofs using algebra
follow algebraic deductive argument to ascertain validity.
3B 3.1 REPRESENT DATA
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WORK REQUIREMENTS
REVISON
ASSESSMENTS
9
3B 3.2 INTERPRET DATA Continued
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Worksheets
10
Year 11 Camp
Term 4
WEEK
COURSE CONTENT
1
3B 2.1 NETWORKS
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2
3
4
5
6
analyse project networks
construct project networks
determine critical paths & minimum completion time for projects with fixed activity
times.
3B 2.2 REASON GEOMETRICALLY
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Test 5
recognise that regression lines for samples & populations may differ due to chance
variation
predict from regression lines, making seasonal adjustments for periodic data.
REFERENCE
TO TEXT
Chapter 9
EXERCISES
Ex 9A
Ex 9B
WORK REQUIREMENTS
REVISON
ASSESSMENTS
Miscellaneous 9
Worksheets
Test 6
distinguish general geometric arguments from those based on specific cases
follow & ascertain the validity of geometric arguments.
Revision
Revision
Exams
Exams
Past Exams
Past Exams
Past Exams
Past Exams
Exam