Mathematics

In Year 10 Mathematics, students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities. They make the connections between algebraic and graphical representations of relations. Students solve surface area and volume problems relating to composite solids. They recognise the relationships between parallel and perpendicular lines. Students apply deductive reasoning to proofs and numerical exercises involving plane shapes. They compare data sets by referring to the shapes of the various data displays. They describe bivariate data where the independent variable is time. Students describe statistical relationships between two continuous variables and evaluate statistical reports.

Students expand binomial expressions and factorise monic quadratic expressions. They find unknown values after substitution into formulas. They perform the four operations with simple algebraic fractions. Students solve simple quadratic equations and pairs of simultaneous equations. They use triangle and angle properties to prove congruence and similarity. Students use trigonometry to calculate unknown angles in right-angled triangles. Students list outcomes for multi-step chance experiments and assign probabilities for these experiments. They calculate quartiles and inter-quartile ranges.

Content

The following topics provide the framework for learning in Year 10 Mathematics:

• Money and Financial Mathematics
• Patterns and Algebra
• Data Representation and Interpretation
• Linear and Non-Linear Relationships
• Pythagoras, Trigonometry and Measurement
• Geometric Reasoning
• Chance

Assessment

Students are assessed against the Australian Curriculum Mathematics achievement standards. Evidence of student achievement will be gathered through tests, investigations and reports.

Students are tested on their knowledge of patterns and algebra, linear relationships and their geometric reasoning. They investigate how to maximise their returns on savings and investments, whether height plays a role in a students subject preferences, the relationship of bisectors in circles and the areas they create, use trigonometry to find the heights of objects such as flag poles and buildings and investigate the chance of an event occurring given a circumstance, often writing reports on their findings.