# 10 General Mathematics

The Year 10 General Maths course is an Australian Curriculum course. The Semester 1 and 2 units form a complete Year 10 course, however they complement the Advanced Maths course. This means that a student can choose to move at the end of semester 1 from General 1 to Advanced 2, or from Advanced 1 to General 2. Such a choice will be determined by their VCE study intentions and discussions with their teacher and curriculum coordinator. Students intending to study VCE General and Further Mathematics will acquire the knowledge and skills they need from Year 10 General Maths 1&2 or a combined Advanced and General course.

General Maths 1
By the end of the 10 General Mathematics 1 course, students who have achieved at a satisfactory level will be able to:

• make connections between simple and compound interest

• construct box-plots and compare data sets

• investigate and describe statistical relationships and evaluate statistical reports

• compare data sets by referring to the shapes of the various data displays

• calculate quartiles and inter-quartile ranges

• describe bivariate data where the independent variable is time

• describe statistical relationships between two continuous variables

• find unknown values after substitution into formulas

• solve problems involving linear equations and inequalities

• apply reasoning to proofs and numerical exercises (involving plane shapes)

• apply trigonometry to solve right-angled triangle problems

• use triangle and angle properties to prove congruence and similarity

• use trigonometry to calculate unknown angles in right-angled triangles

General Maths 2
By the end of the 10 General Mathematics 2 course, students who have achieved at a satisfactory level will be able to:

• solve surface area and volume problems relating to prisms and composite solids

• perform the four operations with simple algebraic fractions

• represent relations on the Cartesian plane and solve linear and quadratic equations

• recognise the relationships between parallel and perpendicular lines

• make the connections between algebraic and graphical representations of relations

• list outcomes for multi-step chance experiments and assign probabilities for these experiments

• list outcomes, assign and determine probabilities for chance experiments and investigate independent events

• expand binomial expressions and factorise monic quadratic expressions

• solve simple quadratic equations and pairs of simultaneous equations