## Westfields Sports High School

First In Australia

Telephone02 9604 3333

# Accelerated Mathematics

Course: Accelerated Mathematics        Faculty: Mathematics        Course Fees: Nil

Impact on Stage 6: N/A

COURSE DESCRIPTION – ELECTIVE SUBJECT

Accelerated Mathematics is an elective offered to our most talented mathematicians. This accelerated course allows students to complete the Year 10 course whilst in Year 9 and the 2 Unit HSC exam in Year 10. By doing this, our students acquire more time to focus on Extension Mathematics in Years 11 & 12.

To qualify for this course, a student must demonstrate outstanding knowledge in mathematics. There is also a rigorous testing process prior to entry. This is to ensure that the selected students are capable to meet the high demands of this accelerated course. Please note, as Accelerated Maths is run through the elective line, students must be prepared to display diligent work ethics and meet the criteria of the course for the entire two years.

MAIN FOCUS AREAS

Please refer to outcomes listed below.

OUTCOMES

• Performs operations with surds and indices.
• Solves consumer arithmetic problems.
• Applies index laws.
• Simplifies, expands and factorises algebraic expressions.
• Solves simple quadratic equations, solves linear inequalities.
• Uses algebraic techniques to simplify expressions.
• Determines the midpoint, length and gradient of an interval joining two points on the number plane and graph linear and simple non-linear relationships from equations.
• Groups data to aid analysis and constructs frequency and cumulative frequency graph.
• Applies trigonometry to solve problems including those on bearings.
• Constructs arguments to prove geometrical results.
• Determine the properties of triangles and quadrilaterals.
• Solves consumer arithmetic problems involving compound interest, depreciation and successive discounts.
• Solves probability problems involving compound events.
• Solves linear and quadratic simultaneous equations.
• Draws and interprets a variety of graphs including, parabolas, hyperbolas, cubic, exponentials, circles and applies coordinate geometry techniques to solve problems.
• Uses the interquartile range and standard deviation to analyse data.
• Applies trigonometric relationships, sine rule, cosine rule and area rule in problem solving.
• Applies deductive reasoning in geometry.