In Year 8 Mathematics, students solve everyday problems involving rates, ratios and percentages. They describe index laws and apply them to whole numbers. They describe rational and irrational numbers. Students solve problems involving profit and loss. They make connections between expanding and factorising algebraic expressions. Students solve problems relating to the volume of prisms. They make sense of time duration in real applications. They identify conditions for the congruence of triangles and deduce the properties of quadrilaterals. Students model authentic situations with two-way tables and Venn diagrams. They choose appropriate language to describe events and experiments. They explain issues related to the collection of data and the effect of outliers on means and medians in that data.
Students use efficient mental and written strategies to carry out the four operations with integers. They simplify a variety of algebraic expressions. They solve linear equations and graph linear relationships on the Cartesian plane. Students convert between units of measurement for area and volume. They perform calculations to determine perimeter and area of parallelograms, rhombuses and kites. They name the features of circles and calculate the areas and circumferences of circles. Students determine the probabilities of complementary events and calculate the sum of probabilities.
Content
The following topics provide the framework for learning in Year 8 Mathematics:
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 real numbers and financial mathematics, patterns and algebra, linear and non-linear relationships and their geometric reasoning. They investigate whether the scoring system in the English version of Monopoly would still fair if other languages were used and whether ‘handedness’ and ‘footedness’ are linked, design and cost new packaging for a chocolate bar and verify if equations are correct with justification, often writing reports on their findings.
THRIVE • RESPECT • INTEGRITY
