THE ASCENT LIBRARY

General MathematicsOne idea at a time.

Explore lessons, worked examples, worksheets and topic reviews.

Years 11–12 · SACE

01 / YOUR YEAR LEVEL

Start where you are.

02 / EXPLORE THE TOPICS

Year 11 starts here.

Explore the topics through lessons, worked examples and printable practice.

64 lessons available

64 subtopics

01

Measurement

10 subtopics

1.1Choosing units and instruments 1.2Accuracy and precision 1.3Unit conversions 1.4Perimeter and composite area 1.5Surface area 1.6Volume and capacity 1.7Practical measurement models 1.8Scale drawings 1.9Rates and compound units 1.10Checking measurement results

Topic review5 practice tests

02

Investing and borrowing

12 subtopics

2.1Percentage/financial arithmetic 2.2Savings accounts and fees 2.3Simple interest 2.4Compound interest and compounding periods 2.5Present/future value 2.6Effective annual rates 2.7Comparing investments 2.8Share purchases/sales, brokerage and dividends 2.9Return on investment 2.10Tax/inflation effects on returns 2.11Credit costs 2.12Personal loans and comparing borrowing with saving

Topic review5 practice tests

03

Statistics

11 subtopics

3.1Statistical questions and the investigation cycle 3.2Population versus sample 3.3Sampling methods and bias 3.4Collecting/classifying data 3.5Frequency tables and appropriate displays 3.6Shape, centre and spread 3.7Quartiles and box plots 3.8Mean/median and variability 3.9Comparing two or more groups 3.10Outliers and fair conclusions 3.11Communicating findings and limitations

Topic review5 practice tests

04

Practical trigonometry

10 subtopics

4.1Similarity and scale 4.2Right-triangle geometry 4.3Pythagoras 4.4Sine/cosine/tangent 4.5Elevation/depression and bearings 4.6Triangle area 4.7Sine rule 4.8Cosine rule 4.9Non-right-triangle surveying/navigation problems 4.10Checking possible solutions

Topic review5 practice tests

05

Linear and exponential models

10 subtopics

5.1Linear equations and formulas 5.2Gradient/intercepts 5.3Constructing and interpreting straight-line models 5.4Simultaneous equations and break-even situations 5.5Piecewise practical models where relevant 5.6Exponential graphs and constant percentage change 5.7Growth/decay models 5.8Comparing linear with exponential change 5.9Fitting, predicting and interpreting models 5.10Limitations of extrapolation

Topic review5 practice tests

06

Matrices and networks

11 subtopics

6.1Matrix organisation and order 6.2Matrix arithmetic 6.3Matrix multiplication 6.4Costing/inventory models 6.5Reading directed/weighted networks 6.6Network terminology and connectivity 6.7Counting paths with restrictions 6.8Shortest/longest paths 6.9Minimum spanning trees including Prim's algorithm 6.10Maximum-flow models 6.11Interpreting the practicality of a solution

Topic review5 practice tests

Schools may teach these topics in a different order.

Official curriculum outline

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