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# Year 11 – ATAR Mathematics Applications

Course Outline 2019

Week Content Assessment

Term 1

1 – 2

4-Feb

Consumer arithmetic – 1.1.1, 5 – Chapter 2, Unit 1, Sadler

⦿ Concepts of rate and percentage in the context of earning and managing money

⦿ Percentage increase and decrease

⦿ Inflation cost and wages over time

⦿ Percentage mark-ups and discounts

⦿ Calculating GST

⦿ Calculating profit or loss in absolute and percentage terms

3 – 4

18-Feb

Simple Interest and Compound Interest – 1.1.5, 1.1.8 (Chapter 3-4)

⦿ Calculate simple interest and compound interest

⦿ Use of spreadsheets to display repeated computations

⦿ Use technology to calculate compound interest

5

4-Mar

Consumer arithmetic – 1.1.1– 1.1.8 (Chapter 5)

⦿ Salary, wages (including piecework, overtime allowances and commission).

⦿ Government allowances and pensions

⦿ Prepare a personal budget

⦿ Unit cost method for price comparison

⦿ Currency exchange rates

⦿ Share dividends and price earnings ratio

⦿ Use a spreadsheet for above computations as appropriate

Test 1.1 – Chapter 2 to 5, Unit 1 (Weight 6%)

6

11-Mar

Use of Formulae – 1.2.1 – 1.2.3 (Chapter 1)

⦿ Numerical substitutions into expressions

⦿ Formulae evaluation

⦿ Spread sheets, tables and formulas

Investigation 1 – Home Consumer Arithmetic

Investigation 1 – Validation (Weight 10%)

7 – 8

18-Mar

Matrices – 1.2.4 – 1.2.5 (Chapter 6)

⦿ Matrices and storage/displaying information

⦿ Size and type of matrices

⦿ Matrix arithmetic

⦿ Solve problems using matrices

9

1-Apr

Pythagoras – 1.3.1 (Chapter 7)

⦿ Solve problems in 2- and 3-dimensions using Pythagoras’ theorem

Test 1.2 – Chapter 1 AND 6 (weight 5%)

10

8-Apr

Perimeter and Area – 1.3.2 (Chapter 8)

⦿ Perimeter and area of 2D shapes, including sectors and other composite shapes

Term 2

1 – 2

29-Apr

Perimeter and Area – 1.3.3 – 1.3.4 (Chapter 8-9)

⦿ Volume of standard objects such as prisms, pyramids, cones, spheres and practical applications

⦿ Surface area of standard and composite shapes and practical applications

2 – 3

6-May

Similarity – 1.3.5 –1.3. 8 (Chapter 10)

⦿ Conditions of similarity, similar triangles

⦿ Scale factor and linear scaling problems

⦿ Scale drawings (maps and building plans), problem solving

⦿ Scale factors and areas of similar figures

⦿ Scale factors and surface area/volume of similar solids

Test 1.3 – Chapter 7 to 10 (Weight 5%)

4

20-May

5

27-May

Semester One Exam S1 Exam (20%)

6

3-Jun

Semester One Exam

7 – 8

10-Jun

Univariate Data – 2.1.1 – 2.1.6 (Chapter 1-2, Unit 2, Sadler)

⦿ Identifying a problem and posing a statistical question

⦿ Collecting or obtaining data

⦿ Analysing the data

⦿ Interpreting and communicating the results

⦿ Classifying categorical variables – organising the data

⦿ Classifying numerical variables (discreet/continuous) – describe the distribution, modality, shape, location and spread – interpret in context

⦿ Mean and standard deviation (using technology)

9 – 10

24-Jun

Making sense of data relating to a single statistical variable – 2.1.7 – 2.1.9 (Chapter 3)

⦿ Deviations from the mean in normally distributed data

⦿ Quantiles in normally distributed data, the 65%, 95% and 99.7% rule, calculating probabilities for normal distributions

Term 3

1

29-Jul

Comparing data for a numerical variable across two or more groups – 2.1.10 – 2.1.11 (Chapter 4, 13)

⦿ Box plots, outliers

⦿ Compare groups, interpret and report findings

2

5-Aug

Statistical Investigations – 2.1.12 (Chapter 5)

⦿ The statistical process of comparing groups

Test 2.1 – Chapter 1 to 4, 13 – Unit 2 (Weight 8%)

3

12-Aug

Statistical Investigations – 2.1.12 (Chapter 5)

⦿ The statistical process of comparing groups

⦿ Compare groups, interpret and report findings

Investigation 2 – Home Univariate Data

4

19-Aug

Right-angled triangle – 2.2.1 (Chapter 10)

⦿ Trigonometry of the right triangle

Investigation 2 – Validation (Weight 10%)

5

26-Aug

Right-angled triangle – 2.2.4 (Chapter 10)

⦿ Solve practical problems involving right-angles and non-right-angled triangles, including problems involving angles of elevation and depression and the use of bearings in navigation.

6

2-Sep

Trigonometry – 2.2.2 – 2.2.3 (Chapter 11)

⦿ Sine and cosine rule and application to problems (excluding ambiguous case)

⦿ Area of triangles, Heron’s rule and solution of practical problems

Test 2.2 – Chapter 10 – 11 (Weight 8%)

7

9-Sep

Linear equations – 2.3.1 – 2.3.2 (Chapter 6–7)

⦿ Identify and solve linear equations

⦿ Word problems

8

16-Sep

Linear relationships – 2.3.3 – 2.3.6 (Chapter 8)

⦿ Construction of graphs

⦿ Slope and intercepts from both its equation and plot

⦿ Interpret graphs and analyse practical situations

9

23-Sep

Simultaneous Equations – 2.3.7 (Chapter 12)

⦿ Solving simultaneous equations – graphically, algebraically and using technology appropriately

Term 4

1

14-Oct

Simultaneous Equations – 2.3.8 (Chapter 12)

⦿ Solve practical problems (intersection between two straight-line graphs; for example, the break-even point.

2

21-Oct

Defined Relationships – 2.3.9 – 2.3.10 (Chapter 9)

⦿ Sketch piece-wise linear graphs, step graphs

⦿ Interpret and use to model practical situations

Test 2.3 – Chapter 6 to 9, 12 (Weight 8%)

3

28-Oct

4

4-Nov

Revision, Unit 1 and Unit 2

5

11-Nov

Semester Two Exams S2 Exam (20%)

6

18-Nov

Semester Two Exams

This document is subject to revision.

The Year 11 Syllabus for ATAR Mathematics Applications can be found on the SCSA website. http://www.scsa.wa.edu.au/