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# Year 12 Mathematics Essential

Course Outline 2019

Week Content Assessment

Term 1

1

4-Feb

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

11-Feb

Area measure

3.1.2 – 5. Calculation of areas of parallelograms, trapeziums, circles and semi-circles. 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

18-Feb

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

25-Feb

Geometry – Polygons

3.2.1 – 3. Properties of common two-dimensional shapes and three-dimensional solids. Interpret different forms of two-dimensional representations of three-dimensional 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 1-3 Topics)

Weight: 5%

5

4-Mar

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

11-Mar

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

18-Mar

Three dimensional objects

3.2.9 – 11. Interpret and sketch elevation views of models. Interpret diagrams of three-dimensional objects.

Practical Application 1: You’ve got mail

Weight: 10%

8

25-Mar

Right-angled triangles

3.2.12 – 13. Apply Pythagoras’ Theorem and trigonometric ratios (tangent) to solve problems in practical, two-dimensional views.

9

1-Apr

Geometry – Trigonometry

3.2.14 – 16. Work with concepts of angle of elevation and angle of depression. Solve problems involving trigonometric ratios in practical two-dimensional views.

Test 1.2: Week 4-9 Topics

Weight: 8%

10

8-Apr

Cartesian plane

3.3.1 – 3. Interpret and plot points on a two-dimensional Cartesian plane. Generate tables and graph co-ordinates for linear functions from practical situations.

Term 2

1

29-Apr

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

6-May

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

13-May

Data collection

3.4.1 – 7. Investigate the conducting of census or survey, with reference to the target populations. Investigate methods of sampling.

4

20-May

Revision – Assessment Free

5

27-May

Externally Set Task by SCSA Weight: 15%

6

3-Jun

Semester One Exam block

7

10-Jun

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

17-Jun

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

24-Jun

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

1-Jul

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

29-Jul

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

5-Aug

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

12-Aug

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

19-Aug

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

26-Aug

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

2-Sep

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

9-Sep

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

16-Sep

Revision – Assessment Free

Unit 3 and 4

9

23-Sep

Semester Two Exam block – Final Test Weight: 10%

Term 4

1-3

Revision and feedback

This document is subject to revision.

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

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