Course: Mathematics Faculty: Mathematics Course Fees: $10.00
Impact on Stage 6: Academic progress will determine placements in graded classes in Mathematics Standard, and Mathematics Advanced, as well as eligibility into the extension courses.
COURSE DESCRIPTION - MANDATORY
In Years 9 & 10, students are placed in one of three levels in graded classes. These are determined from a ranked list of all Year 8 students based on common tests completed throughout the year. The breakdown of the Stage 5 classes is detailed below:
- the top 25 students will be offered the opportunity to do the Accelerated Mathematics course,
- the next 60 students given the opportunity to study for the Advanced Mathematics 5.3 course,
- the next 150 students will study the Mathematics 5.2 course, and
- the remainder will study the Mathematics5.1 course.
Classes are subject to change throughout Years 9 & 10 based on performance. The level of Mathematics studied, and achievement gained will impact upon the Mathematics courses available for the HSC.
MAIN FOCUS AREAS & OUTCOMES
ADVANCED MATHS (STAGE 5.3)
- 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.
INTERMEDIATE MATHS (STAGE 5.2)
- Expresses recurring decimals in fraction form and converts rates from one set of units to another.
- Solves consumer arithmetic problems involving earning money.
- Finds simple areas of composite figures.
- Applies formulae to find the surface area of pyramids, right cones and spheres.
- Applies trigonometry to solve problems including those involving angles of elevation and depression.
- Applies trigonometry to solve problems including those involving bearings.
- Applies the index laws to simplify algebraic expressions.
- Develops and applies results for proving triangles are congruent.
STANDARD MATHS (STAGE 5.1)
- Simplifies and evaluates arithmetic expressions.
- Determines the relative frequencies and theoretical probabilities.
- Uses formulae to calculate the area of quadrilaterals and finds areas and perimeters of simple composite figures.
- Draws and interprets graphs of physical phenomena.