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Senior External School (Year 11-12)

General Mathematics 2020


Course
Jenny Cawood
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The study of financial, geometric, statistical, and operational mathematics.

General Mathematics will assist to:

  • Develop knowledge and skills of computation, estimation and measurement;
  • Help manage financial affairs in an informed way;
  • Develop the capacity to interpret and analyse information presented in a variety of forms;
  • Make judgements based on evidence and reasoning.

General Mathematics Syllabus

 

Here is the course outline:

1. Univariate data analysis (UNIT 2, Topic 3) - Assumed knowledge for external exams SEE1 and SEE2

The aim in this topic is to develop candidates’ ability to organise and summarise univariate data in the context of conducting a statistical investigation.

2. Linear equations and their graphs (UNIT 1, Topic 3) - Assumed knowledge for SEE1 and SEE2

This topic develops a candidate's ability to use linear equations and straight-line graphs, as well as piece-wise linear graphs and step graphs, to model and analyse practical situations.

3. Bivariate data analysis (UNIT 3, Topic 1) - Examined in SEE1 and SEE2

This topic introduces candidates to some methods for identifying, analysing and describing associations between pairs of variables, including the use of the least-squares method as a method for analysing linear associations.

4. Time series analysis (UNIT 3, Topic 2) - Examined in SEE1 and SEE2

This topic continues candidates’ study of statistics by introducing them to the concepts and techniques of time series analysis.

5. Growth and decay in sequences (UNIT 3, Topic 3) - Examined in SEE1 and SEE2

This topic employs recursion to generate sequences that can be used to model and investigate patterns of growth and decay in discrete situations. These sequences find application in a wide range of practical situations, including modelling the growth of a compound interest investment, the growth of a bacterial population or the decrease in the value of a car over time. Sequences are also essential to understanding the patterns of growth and decay in loans and investments that are studied in detail in Unit 4.

6. Shape and measurement (UNIT 1, Topic 2) - Assumed knowledge for SEE2

This topic builds on and extends the knowledge and skills candidates developed in the P–10 Australian Curriculum with the concept of similarity and problems involving simple and compound geometric shapes. Candidates apply these skills in a range of practical contexts, including those involving three-dimensional shapes.

7. Applications of trigonometry (UNIT 2, Topic 1) - Assumed knowledge for SEE2

This topic extends candidates’ knowledge of trigonometry to solve practical problems involving non-right-angled triangles in both two and three dimensions, including problems involving the use of angles of elevation and depression and bearings in navigation.

8. Earth geometry and time zones (UNIT 3, Topic 4) - Examined in SEE2

This topic offers an opportunity to use contexts relevant to candidates.

9. Consumer arithmetic (UNIT 1, Topic 1) - Assumed knowledge for SEE2

This topic reviews the concepts of rate and percentage change in the context of earning and managing money, and provides an opportunity for the use of spreadsheets.

10. Loans, investments and annuities (UNIT 4, Topic 1) - Examined in SEE2

This topic aims to provide candidates with sufficient knowledge of financial mathematics to solve practical problems associated with taking out or refinancing a mortgage and making investments.

11. Algebra and matrices (UNIT 2, Topic 2) - Assumed knowledge for SEE2

This topic continues the study of algebra and introduces the new topic of matrices.

12. Graphs and networks (UNIT4, Topic 2) - Examined in SEE2

This topic introduces candidates to the language of graphs and the ways in which graphs, represented as a collection of points and interconnecting lines, can be used to model and analyse everyday situations such as a rail or social network.

13. Networks and decision mathematics (UNIT 4, Topic 3) - Examined in SEE2

This topic uses networks to model and aid decision-making in practical situations.

14. Online lessons

These are the lessons that were missed by those of you who stayed home prior to the April Exam, due to concerns about the Coronavirus risk.

15. Exams and Class tests

Including solutions

16. General revision

Including Past Paper Practice

17. Extra resources, problem solving and extension

Extension and support - Khan Academy; nrichMaths

18. Information and documents relevant to the course

Syllabus, Work Program, Formula sheet for the external exam, subject notices from QCAA, Classroom expectations. (Note: The Work Program is a living document and may be updated from time to time as the year progresses. Topics and teaching sequence will not change but dates may vary slightly)

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