## Statement on QCE Year 11 Maths A

QCE Year 11 Maths A emphasises the development of positive attitudes towards the student’s involvement in mathematics. This development is encouraged through the use of relevant personal and work-related learning experiences. There is also a focus on the development of mathematical knowledge and understanding through investigative and explorative approaches to learning. These approaches provide opportunities to work collaboratively and cooperatively in teams as well as individually.

Mathematics A involves the study of Financial Mathematics, Applied Geometry, and Statistics and Probability.

These are used to develop:

- knowledge and skills of computation, estimation and measurement
- simple algebraic manipulation
- a capacity to interpret and analyse information presented in a variety of forms
- the ability to make judgments based on evidence and reasoning
- a capacity to justify and communicate results in a variety of forms.

## Background of QCE Year 11 Maths A

Mathematics A aims to provide the opportunity for students to continue to participate fully in lifelong learning. It is designed for those students who want to extend their mathematical skills beyond Year 10 level but whose future studies or employment pathways do not require knowledge of calculus. The subject is designed for students who have a wide range of educational and employment aspirations, including continuing their studies at university or TAFE. Mathematics A is a recommended precursor to further study and training for professions and technical trades in a range of industries and employment areas

*referred from
Mathematics A Senior Syllabus 2008 (amended 2014)
Queensland Studies Authority 2014*

#### Earning Money

- Salary to Weekly, Fortnightly, Monehlt Payments
- Weekly, Fortnightly, Monthly Payments to Salary
- Equivalent Hourly Rate of Pay
- Equivalent Hourly Rate of Wage
- Ordinary Hourly Rate of Pay
- Allowances
- Commission
- Commission of a sliding Scale
- Commission with a Retainer
- Commission on Sales above Fixed Amount
- Royalty
- Piecework
- Piecework per Multiple Units
- Comparing Rates
- Overtime Hourly Rate
- Overtime Pay
- Overtime Rates
- Multiple Overtime Rates
- Net Pay

#### Lengths

- Conversion between Lengths
- Simplifying Lengths between Different Units
- Conversion between Masses
- Simplifying Masses between Different Units
- Conversion between Capacities
- Simplifying Capacities between Different Units
- Conversion between Times
- Accuracy and Precision
- Error and Estimation
- Pythagoras’ Theorem
- Perimeter
- Circumference
- Length of an Arc
- Converting Units of Area

#### Surface Area and Volume

- Surface Area
- Surface Area of Square Pyramids and Cones
- Surface Area of Spheres
- Metric Units for Volume
- Cross Section of a Prism
- Volume of a Prism
- Volume of a Prism by Finding the Area of Cross Section
- Volume of a Composite Prism
- Volume of a Cylinder
- Volume of a Composite Cylinder
- Volume and Capacity
- Conversion of Capacity
- Conversion from Capacity to Volume
- Conversion from Volume to Capacity

#### Right-angled Triangles

- Definition of Pythagoras Theorem
- Finding the Hypotenuse
- Finding a Shorter Side
- Testing for Right-angled Triangles
- Pythagorean Triples/Triads
- Finding Pythagorean Triads
- Finding Diagonals
- Finding Perimeters
- Applications of Areas
- Similar Triangles
- Finding an unknown side using Sine
- Finding an unknown side using Cosine
- Finding an unknown side using Tangent
- Finding an Unknown Angle
- Angles of Elevation and Depression

#### Data

- Categorial Variables
- Quantitative or Numerical Variables
- Calculating the Mean
- Mean from UnGrouped Data
- Mean from Grouped Data
- Calculating the Median
- Median from a Table
- Median from a Cumulative Frequency Graph
- Median from a Grouped Cumulative Frequency Graph
- Mode
- Range
- Interquartile Range
- Population Standard Deviation
- Stem-and-Leaf Plots
- Double Stem-and-Leaf Plots
- Box-and-Whisker Plots
- Double Box-and-Whisker Plots
- Dot Plots
- Frequency Histograms