Curriculum information of Carey Baptist Grammar School

Carey Donvale | Junior School Kew | Middle School | Senior School | Co-curricular
Year 10 | IB | VCE | Learning Areas | Other Curriculum | Student Development |

Year 10 Mathematics

# Mathematics A

## Prerequisites

Highly successful completion of Year 9 Mathematics.

## Course Description

This course is a prerequisite for Year 11 IB Mathematics – Standard Level or VCE Mathematical Methods Units 1 and 2. Students who have achieved an average of C or above in Year 9 Mathematics are encouraged to select this subject.

The course follows the scope and sequence of the Year 10 Mathematics A course in the Victorian Curriculum. Students build on skills obtained from previous study of extended Mathematics in the areas Number and Algebra, Measurement and Geometry, and Probability and Statistics.

Problem-solving and modelling is developed progressively throughout the course using real life situations to improve the student's ability to think laterally and write coherently on a mathematical topic. CAS technology is used extensively in the course, both as an instructional aid and a computational tool, while notebook computers are an integral part of the course.

## Essential Questions

• What are the relationships between the angles and sides in polygons and circles?
• What does the gradient of a straight line represent and how is this useful in the real world?
• How is our number system structured to include surds and logarithms?
• Where do quadratic relationships occur and how do we model these?
• What is probability and how do we model the chance of events occurring?
• What is the difference between a linear and quadratic equation and how do we solve them?

## Areas of Study

Number and Algebra

• Revision of fractions, decimals, percentage and ratios.
• Surds, indices and logarithms.
• Interpreting formulae, algebraic simplification and expansion.
• Linear, quadratic and cubic factorisation and equation solving.
• Manipulating and solving indicial, logarithmic, trigonometric and polynomial equations.

Measurement and Geometry

• Spatial relations, geometric objects and mensuration (length, area, volume and capacity).
• Pythagoras's Theorem.
• Circle geometry theorems, arc length, congruence and similarity.
• Graphs of linear, quadratic, cubic, exponential and logarithmic functions.
• Finding lengths and angles in right angled and other triangles in two- and three-dimensions using formulae.
• Applications, the unit circle and the graphical representation and trigonometric functions.

Probability and Statistics

• Use of tree diagrams, Venn diagrams and two way tables to calculate theoretical probability.
• Independent and mutually exclusive events.

## Assessment

 Task Description Topic Tests One test for each topic studied.​ Major Problem-solving Tasks​ One project or investigation per semester.​ Homework Regular homework is set and assessed. Semester Examination One with CAS technology, one without. Paper 1: Short Answer (technology free). Paper 2: Multiple Choice and Extended Response (technology active).