SACE Stage 2 Essential Mathematics study plan
SACE Stage 2 Essential Mathematics · Give each week a clear focus.
8 weeks · About 6 hours per week
Essential Mathematics (content domains not enumerated in source)
Diagnose current skill levels by completing a self-made 20-question mixed-topic quiz and recording accuracy per topic
Define and apply the order of operations to simplify 15 numerical expressions without error
Convert between fractions, decimals, and percentages for 20 given values
Solve 10 real-world percentage problems (discount, tax, simple interest) showing all steps
Your checkpoint
A diagnostic report listing accuracy by topic and a corrected worksheet of 55 problems (15 order of operations, 20 conversions, 10 percentage, 10 mixed)
Essential Mathematics (content domains not enumerated in source)
Compute perimeter and area of rectangles, triangles, and circles for 12 composite figures
Calculate the volume of prisms, cylinders, and spheres using given formulas in 8 problems
Solve 10 ratio and proportion problems including scale drawings and unit rates
Explain in writing the difference between perimeter, area, and volume with one worked example each
Your checkpoint
A formula sheet with annotated examples and a completed 30-problem worksheet covering measurement, ratio, and proportion
Essential Mathematics (content domains not enumerated in source)
Construct and interpret tables and graphs (bar, line, pie) from 5 given data sets
Calculate mean, median, mode, and range for 10 data sets and describe what each measure indicates
Identify misleading features in 3 provided graphs and write a correction for each
Solve 8 probability problems using simple and complementary events
Your checkpoint
A statistical report analyzing one real data set (e.g., weekly expenses) with at least three graphs and a written summary of measures of center and spread
Essential Mathematics (content domains not enumerated in source) & Essential Mathematics (content domains not enumerated in source)
Review weeks 1–3 by redoing 10 previously incorrect problems and achieving 100% accuracy
Solve 12 linear equations and substitute values into 8 formulas
Interpret and use straight-line graphs to answer 6 practical questions (e.g., cost vs. quantity)
Write a half-page reflection identifying two strongest and two weakest topics so far
Your checkpoint
A mid-point portfolio containing corrected problems, a 12-question mixed quiz with solutions, and a reflection page
Essential Mathematics (content domains not enumerated in source)
Create a budget for a hypothetical monthly income covering at least 8 expense categories
Calculate take-home pay after tax and deductions for 3 given gross salaries
Compare two loan or credit card scenarios by computing total interest and repayments
Explain in writing the difference between fixed and variable expenses with examples
Your checkpoint
A personal finance workbook with a completed budget, three salary calculations, and a one-page loan comparison
Essential Mathematics (content domains not enumerated in source)
Solve 10 problems involving unit pricing and best-buy comparisons
Calculate mark-up, markdown, and profit margin for 8 retail scenarios
Interpret pay slips and invoices by extracting key figures in 5 examples
Design a simple savings plan with compound interest over 5 years and show the growth table
Your checkpoint
A consumer maths project comparing five products by unit price and presenting a savings plan with a table and graph
Essential Mathematics (content domains not enumerated in source)
Use measurements to solve 10 problems involving length, mass, and capacity in real contexts
Plan a small event or trip with a detailed budget and timeline, showing all calculations
Interpret and create a roster or timetable that satisfies given constraints
Check the reasonableness of answers in 10 problems by estimating before calculating
Your checkpoint
An event planning document with budget, timeline, and at least 15 supporting calculations
Essential Mathematics (content domains not enumerated in source) & Essential Mathematics (content domains not enumerated in source)
Complete two full-length practice tests (30 questions each) under timed conditions
Review all errors from practice tests and categorize them by topic
Re-solve 20 previously missed problems without notes
Summarize key formulas and procedures on a single A4 reference sheet
Your checkpoint
A final exam readiness pack containing two marked practice tests, an error log, and a one-page summary sheet
Milestones
Week 2: Score at least 80% on a self-made 20-question quiz covering arithmetic, percentages, measurement, and ratio
Week 4: Complete the mid-point portfolio with all corrected problems and achieve at least 75% on the 12-question mixed quiz
Week 6: Finish the consumer maths project and correctly solve at least 8 of 10 unit pricing and profit problems
Week 8: Score at least 80% on both timed practice tests and submit the final exam readiness pack