WACE Mathematics:
Essential General

Unit 1 of WACE Mathematics Essential General introduces the foundational numeracy and practical mathematics skills that run throughout the course. Topics include working with whole numbers, integers, fractions, decimals, and percentages in everyday contexts, rounding and estimation, ratio and rates in practical settings, reading and interpreting tables and graphs including bar charts, pie charts, and line graphs, introducing measurement including length, area, mass, volume, and temperature with appropriate metric units and conversions, applying mathematics to familiar consumer and household contexts, and developing the use of calculators and digital tools as practical problem-solving aids. Unit 1 establishes the core numeracy understanding that is built upon and applied across Units 2, 3, and 4 of the Mathematics Essential General course, directly reflecting the SCSA syllabus emphasis on developing mathematical skills relevant to everyday life and the community.

Unit 2 of WACE Mathematics Essential General develops practical financial and measurement skills applied to real-world contexts relevant to students’ lives. Topics include earning income from wages, salaries, allowances, and government payments, calculating deductions and net pay, managing personal budgets and household finances, applying percentage calculations to discounts, mark-ups, and GST, working with time including reading timetables and calculating time differences, planning and costing travel and everyday activities, further measurement including perimeter and area of common shapes and practical applications of measurement in home and trade contexts, and reading and interpreting scale drawings and maps. Unit 2 reflects the SCSA Mathematics Essential General syllabus emphasis on practical financial literacy and real-world problem solving, directly building skills that are assessed in the school-based assessment tasks and the WACE external examination.

Unit 3 of WACE Mathematics Essential General is a Year 12 unit that further develops practical measurement, data, and financial mathematics skills in authentic applied contexts. Topics include volume and capacity of common 3D solids and composite objects and their practical applications, further work with scale drawings and plans, an introduction to basic probability including identifying outcomes and calculating simple theoretical and relative frequencies, data collection, organisation, and representation using appropriate displays, calculating and interpreting summary statistics including mean, median, mode, and range, comparing datasets using statistical reasoning, and further financial mathematics including simple and compound interest and their comparison in practical savings and loan contexts. Unit 3 directly prepares students for the Year 12 examination and school-based assessment tasks, and applies the numeracy and practical mathematics skills developed in Units 1 and 2 to more complex real-world problems.

Unit 4 of WACE Mathematics Essential General is the final and most applied unit of the course, consolidating and extending practical mathematics skills across financial decision-making and data interpretation. Topics include graphs and linear relationships in practical contexts including plotting and reading linear models and using them to make predictions, further probability including combined events and the use of two-way tables and tree diagrams in everyday contexts, more sophisticated data analysis including interpreting bivariate data, scatter plots, and identifying trends, and extended financial mathematics including loans and credit, comparing financial products, calculating repayments and total interest paid, and the mathematics of everyday borrowing and investment decisions. Unit 4 is the capstone unit of Mathematics Essential General, is assessed in school-based assessment tasks and the WACE external examination, and directly prepares students for the mathematical demands of adult life, work, and further study.