GROUP 5 - MATHEMATICS HL

Higher Level

This course is designed for very able mathematics students. Students may take this subject because they have a strong interest in mathematics and enjoy meeting the challenges and engaging in its problems. Often students studying this subject will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as engineering, physics and technology.
The work in semester one involves the study of:
Number and Algebra: factorising algebraic expressions, index laws, applying the four operations to simple algebraic fractions, substituting values into and rearranging formulas, solving problems involving linear equations and inequalities and graphing their solutions, solving simultaneous linear equations, solving problems involving gradients of parallel and perpendicular lines, defining and performing operations with rational and irrational numbers;
Measurement & Geometry: solving problems involving surface area and volume for a range of prisms, cylinders and composite solids, formulation of proofs involving congruent triangles and angle properties, applying logical reasoning to proofs and numerical exercises involving plane shapes, solving right-angled triangle problems including angles of elevation and depression, establishing the sine, cosine and area rules for any triangle and solve related problems
Statistics & Probability: determining quartiles and interquartile range and investigating the effect of individual data values, constructing and interpreting box plots and using them to compare data sets, comparing shapes of various statistical graphical representations and discussing the distribution of data, investigating the relationships between two numerical variables, calculating and interpreting the mean and standard deviation and outliers of data.

The work in semester two involves the study of:
Number and Algebra: factorising quadratic expressions and solving quadratic equations derived from a variety of contexts, connecting the compound interest formula to repeated applications of simple interest, investigating polynomials and applying understanding of polynomials to sketch and describe a range of curves, describing and interpreting and sketching parabolas, hyperbolas, circles and exponential functions and their transformations, solving simple exponential equations, establishing, investigating and applying the laws of logarithms and logarithmic scales;
Measurement & Geometry: using the unit circle to define and graph trigonometric functions;
Statistics & Probability: describing the results of two- and three-step chance experiments, assigning probabilities to outcomes and determining probabilities of events, investigating the concept of independence, using the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements.

ASSESSMENT
Internal Assessment

An individual exploration. This is a piece of written work that involves investigating an area of mathematics that holds particular interest to the student.  (20%)

External Examinations
Paper 1: (2 hours, 30%)
Paper 2: (2 hours, 30%)
Paper 3: (1 hour, 20%)

MATHEMATICS PATHWAY AT GGS

Group 5 - Mathematical Studies
Year 11 and 12 - IB

Group 5 - Mathematics SL
Year 11 and 12 - IB

Mathematics
Year 11 and 12 - VCE

Mathematics
Year 10

Mathematics
Timbertop - Year 9

Mathematics
Years 5 to 8