Year 12 Mathematics Applications

Course Outline 2019

 

Week Content Assessment

Term 1

1-2

UNIT 3

Bivariate Data (Chapter 1)

· Identifying and describing associations between two categorical variables

 
3-5

Bivariate Data: (Chapter 2)

· Identifying and describing associations between two numerical variables

· Fitting a linear model to numerical data

· Association and causation

Test 1 (8%)
6

Bivariate Data:

· The statistical investigation process.

Investigation 1 (5%)
7-8

Growth and Decay (Chapter 3)

· The Arithmetic sequence

 
9-10

Growth and Decay (Chapter 4)

· The Geometric sequence

· Sequences generated by first-order linear recurrence relations

Test 2 (8%)

Term 2

1

Graphs and Networks (Chapter 5)

· The definition of a graph and associated terminology

· Planar graphs

 
2-3

Graphs and Networks (Chapter 6)

· Paths and cycles

· Shortest path between two vertices

Test 3 (8%)
4 Exam Revision  
5-6 Exams (Students off campus) Exam (20%)
7

UNIT 4

Time series Analysis (Chapter 1)

· Describing and interpreting patterns in time series data

 
8-9

Time series Analysis (Chapter 2)

· Analysing time series data

· Moving average

· Seasonal incidences by using the average percentage method

· The data investigation process

Test 4 (8%)

Term 3

1

Loans, Investments & annuities (Chapter 3)

· Compound interest loans and investments

· Reducing balance loans (compound interest loans with periodic repayments)

 
2-3

Loans, Investments & annuities (Chapter 4)

· Annuities and perpetuities (compound interest investments with periodic payments made from the investment)

Investigation 2 (10%)
4

Networks and decision Mathematics (Chapter 5)

· Tree and minimum connector problems

 
5

Networks and decision Mathematics (Chapter 6)

· Use minimal spanning trees to solve minimal connector problems

Test 5 (8%)
6

Networks and decision Mathematics (Chapter 7)

· Project planning and scheduling using critical path analysis (CPA)

· Flow networks

Investigation 3 (5%)
7

Assignment problems (Chapter 8)

· Use a bipartite graph and/or its tabular or matrix form to represent an assignment/allocation problem

· Determine the optimum assignment(s), by inspection for small scale problems, or by use of the Hungarian algorithm method for larger problems.

 
8 Exam Revision  
9 Trial Exams (Students off campus) Exam (20%)

Term 4

1

Exam Revision  
2 Exam Revision  
3 Exam Revision and Final Week for Year 12’s  

 

This document is subject to revision.

The Year 12 Syllabus for Mathematics Applications can be found on the SCSA website.

http://www.scsa.wa.edu.au/