Year 12 Mathematics Essential
Course Outline 2019
Week  Content  Assessment 

Term 1 1 4Feb 
Linear Measure 3.1.1. Calculation of perimeters of polygons, circles and familiar composite shapes. Use mathematical thinking process to solve problems involving parameter. 

2 11Feb 
Area measure 3.1.2 – 5. Calculation of areas of parallelograms, trapeziums, circles and semicircles. Area of composite figures using decomposition into familiar shapes. Surface area of cubes, rectangular and triangular prisms, spheres and cylinders. Use the mathematical thinking process to solve problems involving area and surface area. 

3 18Feb 
Volume and capacity 3.1.6 – 7. Recognise the relationship between volume and capacity (between cubic centimetres and millilitres, cubic metres and kilolitres. The use of mathematical thinking process to solve problems involving volume and capacity. 

4 25Feb 
Geometry – Polygons 3.2.1 – 3. Properties of common twodimensional shapes and threedimensional solids. Interpret different forms of twodimensional representations of threedimensional objects, including nets and perspective diagrams. Use terminology of geometric shapes: point, line, angle, diagonal, edge, curve, face and vertex, parallel and perpendicular. 
Test 1.1: Measurement (Week 13 Topics) Weight: 5% 
5 4Mar 
Interpret scale drawings 3.2.4 – 6. Interpret commonly used symbols and abbreviations in scale drawings/house plans. Practical applications of scale drawing to estimate and compare quantities, materials and costs (packaging, clothes, painting, landscaping, etc). 

6 11Mar 
Creating scale drawings 3.2.7 – 8. Apply drawing conventions of scale drawing such as scales in ratio, dimensions and labelling. Construct scale drawings. 

7 18Mar 
Three dimensional objects 3.2.9 – 11. Interpret and sketch elevation views of models. Interpret diagrams of threedimensional objects. 
Practical Application 1: You’ve got mail Weight: 10% 
8 25Mar 
Rightangled triangles 3.2.12 – 13. Apply Pythagoras’ Theorem and trigonometric ratios (tangent) to solve problems in practical, twodimensional views. 

9 1Apr 
Geometry – Trigonometry 3.2.14 – 16. Work with concepts of angle of elevation and angle of depression. Solve problems involving trigonometric ratios in practical twodimensional views. 
Test 1.2: Week 49 Topics Weight: 8% 
10 8Apr 
Cartesian plane 3.3.1 – 3. Interpret and plot points on a twodimensional Cartesian plane. Generate tables and graph coordinates for linear functions from practical situations. 

Term 2 1 29Apr 
Using graphs 3.3.4 – 10. Interpret, use and draw graphs from practical situations, including travel graphs, time series and conversion graphs. Describe trends in time series data. 

2 6May 
Using graphs in practical situations 3.3.4 – 10. Describe, determine and use the features of linear functions from practical situations; rate of change, vertical intercept, point of intersection, ‘break even’ point. 
Test 1.3: Cartesian plane, using graphs (7%) 
3 13May 
Data collection 3.4.1 – 7. Investigate the conducting of census or survey, with reference to the target populations. Investigate methods of sampling. 

4 20May 
Revision – Assessment Free  
5 27May 
Externally Set Task by SCSA  Weight: 15% 
6 3Jun 
Semester One Exam block  
7 10Jun 
Source of Bias 3.4.8 – 11. Interpret results from surveys, including those in media. Describe sources of error in collection of data process 

8 17Jun 
Bivariate scatterplots 3.4.12 – 13. Patterns and features of bivariate data. Describe association between two numerical variables. 
Investigation 1: Statistics World Temperature Weight: 10% 
9 24Jun 
Trend lines: Independent variable and dependant variable 3.4.14 – 15. Identify the dependent variable and independent variable. Fit a trend line by eye. 

10 1Jul 
Trend lines: Relationship between dependant and independent variables 3.4.16 – 19. Interpret relationships in terms of the variables. Use trendline to make prediction (by interpolation or extrapolation). 

Term 3 1 29Jul 
Probability: Expression and Simulations 4.1.1 – 6. Language of probability and numerical expressions using fractions, decimals, ratios and percentages. Simulation using technology. The law of large numbers and the relationship of relative frequency to probability. 

2 5Aug 
Simple probability in practical situations 4.1.7 – 11. Experiments and sample spaces which represent practical situations. Applications of probability for decision making, predicting proportions and number of outcomes that are likely to occur. 
Investigation 2: Probability – Lotto results Weight: 15% 
3 12Aug 
Earth geometry 4.2.1 – 3. Methods of locating positions on the earth’s surface given latitude and longitude; global positioning system (GPS), globe, atlas and digital technologies. Calculation of distance between two places on earth on same longitude using arc length formula. Distance between two places on earth using technology. 

4 19Aug 
Time 4.2.4 – 9. Link between longitude and time. Problems involving time zones in Australia and neighbouring nations, Greenwich Mean Time and International Date Line, time differences, travel involving time zone changes. Practical applications: plan for an interstate/international phone call, design an itinerary involving five different places in the world. 
Practical Application 2: Time Zones Weight: 10% 
5 26Aug 
Loans and compound interest 4.3.1 – 3. Real life, compounding situations expresses as a recurrence relationship: compound interest, population growth 
Test 2.1: Location and Time Weight: 5% 
6 2Sep 
Loans and compound interest – with technology 4.3.4 – 6. Future values and total interest. Numerical and graphical comparison between simple interest and compound interest loans and investment. Effects of change of interest rate and number of compounding periods. 

7 9Sep 
Reducing balance loans 4.3.7 – 8. Use of technology and recurrence relation to model reducing balance loans. Effect of interest rates and repayment amount when repaying a loan. 
Test 2.2: Loans and compound interest Weight: 5% 
8 16Sep 
Revision – Assessment Free Unit 3 and 4 

9 23Sep 
Semester Two Exam block – Final Test  Weight: 10% 
Term 4 13 
Revision and feedback 
This document is subject to revision.
The Year 12 Syllabus for Mathematics Essentials can be found on the SCSA website.