Year 11 Mathematics Applications (AEMMA) Course Outline Notes

Semester One:
- Years 11 & 12: 20 May – 31 May
- Year 10: 24 May – 30 May
Semester Two:
- Trial Year 12 WACE: 18-28 September
- Year 11: 11-22 November
- Year 10: 13-20 November
- Year 9: 15-21 November
Years 7, 8, and 9: Assessed continually.

Weeks 1-2: Algebra and matrices
- Substitute numerical values into algebraic expressions.
- Determine the value of the subject of a formula.
- Use technology to construct a table of values from a formula.
Weeks 3-5: Consumer arithmetic
- Apply percentage increase or decrease.
  - $I=PRT$
  - $A = P(1 + \frac{R}{100n})^{nT}$
Weeks 6-7: Consumer arithmetic
- Calculate weekly or monthly wage from an annual salary.
- Compare prices using the unit cost method.
- Use currency exchange rates.
- Calculate dividends and compare share values.
- Calculate payments based on government allowances and pensions.
- Prepare a personal budget.
Task 1: Test 1 (Week 6)

Weeks 8-10: Algebra and matrices
- Use matrices for storing and displaying information.
- Recognize different types of matrices and determine their size.
- Perform matrix addition, subtraction, multiplication by a scalar, and matrix multiplication.
- Use matrices to model and solve problems.
Task 2: Test 2 (Week 10)

Week 1: Shape and measurement
- Use Pythagoras’s theorem.
Weeks 2-4: Mensuration
- Calculate perimeters and areas of circles, sectors, triangles, rectangles, parallelograms and composites.
- Calculate the surface areas of standard three-dimensional objects.
- Calculate the volumes of standard three-dimensional objects.
Week 5-6: Examination 1. Task 3: Semester 1 Examination
Week 7: Univariate data analysis
- Classify categorical and numerical variables.
- Describe the distribution of a numerical data set.

Weeks 8-10: Univariate data analysis
- Determine the mean and standard deviation of a data set.
- Compare groups on a single numerical variable.
- Construct and use parallel box plots.
Task 4: Test 3 (Week 10)

Week 1: The statistical process
- Review the statistical investigation process.
- Implement the statistical investigation process to answer questions.
  *Task 5: Investigation 1 (Week 1)
Weeks 2-3: The statistical process
- Calculate probabilities for normal distributions.
- Calculate quantiles for normally distributed data.
- Use standard scores to describe deviations from the mean.
- Use the 68%, 95%, 99.7% rule.
Week 4: Linear equations
- Identify and solve linear equations.
- Develop a linear formula from a word description.
Weeks 5-7: Straight-line graphs
- Construct straight-line graphs.
- Determine the slope and intercepts.
- Construct and analyse a straight-line graph to model a given linear relationship.
- Interpret the slope and intercept.
Weeks 8-9: Simultaneous linear equations
- Solve a pair of simultaneous linear equations.
- Solve practical problems.
Week 10: Piece-wise linear graphs and step graphs

Weeks 2.3.9-2.3.10: Piece-wise linear graphs and step graphs
- Sketch piece-wise linear graphs and step graphs.
- Interpret piece-wise linear and step graphs.
Task 6: Test 4 (Week 10)

Week 1: Similar figures and scale factors
- Review the conditions for similarity of two-dimensional figures.
- Use the scale factor for two similar figures to solve linear scaling problems.
- Obtain measurements from scale drawings.
- Obtain a scale factor and use it to solve scaling problems.
Task 7: Investigation 2 (Week 1)
Weeks 2-3: Applications of trigonometry
- Use trigonometric ratios.
- Determine the area of a triangle.
- Solve problems involving non-right-angled triangles using the sine rule and the cosine rule.
- Solve practical problems involving right-angled and non-right-angled triangles.
Task 8: Test 5 (Week 3)
Week 4: Revision
Weeks 5-6: Examination 2. Task 9: Semester 2 Examination