Subject Details - 10 Mathematics ESSENTIAL

  
Subject Length2 semesters
DescriptionThis maths is for students who are confident they don't want to pursue senior mathematics with more of a hands-on approach focussing more on core skills (critical thinking, numeracy and problem solving).


By the end of Year 10, students recognise the effect of approximations of real numbers in repeated calculations. They use mathematical modelling to solve problems involving growth and decay in financial and other applied situations, applying linear, quadratic and exponential functions as appropriate, and solve related equations, numerically and graphically. They solve problems involving simultaneous linear equations and linear inequalities in 2 variables graphically and justify solutions.

Students solve measurement problems involving surface area and volume of composite objects. Students apply Pythagoras’ theorem and trigonometry to solve practical problems involving right-angled triangles. They identify the impact of measurement errors on the accuracy of results. Students interpret networks used to represent practical situations and describe connectedness.

They plan and conduct statistical investigations involving bivariate data. Students represent the distribution of data involving 2 variables, using tables and scatter plots, and comment on possible association. They analyse inferences and conclusions in the media, noting potential sources of bias. Students compare the distribution of continuous numerical data, using various displays, and discuss distributions in terms of centre, spread, shape and outliers.

Numeracy skills are developed and reinforced through inquiry tasks, problem solving activities, the use of the online educational program Mathletics.
Students reflect regularly on their learning through Quick Writes.

TopicsTopics are covered under six interrelated Strands of Number, Algebra, Measurement, and Space, Statistics and Probability.
AssessmentStudents are assessed against the Australian Curriculum achievement standard through developing their mathematical understanding, fluency, reasoning and problem-solving skills in an integrated way. These proficiencies enable students to respond to familiar and unfamiliar contexts by employing mathematical strategies to make informed decisions and solve problems efficiently.
Additional InformationExcursions may cost extra. Replacement stationery may be required.
All students are expected to purchase a Scientific Calculator prior to the commencement of the course