Year 4 Mathematics homeschool curriculum
For AU homeschool families · Ages 9–10 · Aligned to ACARA v9 (Australian Curriculum)
Docent's voice AI tutor guides Year 4 students through number, algebra, measurement, space, statistics and probability. Every session is mapped to a real AC9 curriculum code so parents can see exactly which topics have been mastered — and use that data directly in compliance documents.
What we cover in Year 4 Mathematics
| AC9 code | Content description |
|---|---|
| AC9M4N01 | Recognise, represent and order numbers beyond 10 000 using place value, number lines and partitioning, including decimals to hundredths |
| AC9M4N02 | Investigate and use the properties of odd and even numbers |
| AC9M4N03 | Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation |
| AC9M4N04 | Count by fractions including mixed numerals, locating and representing these fractions as numbers on number lines |
| AC9M4N05 | Solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator |
| AC9M4M01 | Use scaled and digital instruments to measure and compare lengths, masses, capacities and temperatures; use measurements to solve practical problems |
How Docent teaches Year 4 Mathematics
Voice-first lessons
Your child speaks; the AI tutor listens. Socratic questions guide them to find answers themselves before hints are offered. End-to-end voice latency is under 800 ms.
Adaptive difficulty
Bayesian Knowledge Tracing (BKT) adjusts each question's difficulty in real time. Children always work just above their current level — never bored, never overwhelmed.
Mastery tracking
Every AC9 content description is scored 0–1. Your dashboard shows which codes are at 90%+ mastery and which need more practice sessions.
Compliance-ready
Mastery data flows directly into compliance document generators — VRQA, NESA, HEU, IHIP, NZ MoE exemption — so you never re-enter information by hand.
Frequently asked questions
- What maths topics does a Year 4 student cover under ACARA v9 (Australian Curriculum)?
- At Year 4, students typically work on number and place value, addition and subtraction strategies, multiplication and division concepts, basic fractions, measurement (length, mass, capacity, time), 2D and 3D shapes, and introductory statistics. Docent maps every voice lesson to the specific curriculum content descriptions so you can track mastery per topic.
- How does Docent teach Year 4 maths differently from a workbook?
- Docent uses Socratic voice dialogue — your child explains their reasoning aloud, the AI tutor asks follow-up questions and provides hints before giving answers. This retrieval-practice approach builds deeper understanding than passive reading. The AI adapts difficulty in real time using Bayesian Knowledge Tracing (BKT) so your child always works in their zone of proximal development.
- How do I know if my child is making progress in Year 4 maths?
- Each content description from ACARA v9 (Australian Curriculum) is tracked on a 0–1 mastery scale. Your parent dashboard shows a per-code mastery bar updated after every lesson. When a code reaches 90%+ mastery across multiple spaced sessions, it's marked complete. You can export this data directly into your VRQA learning plan, NESA registration evidence, or IHIP progress report.
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Start learning Mathematics with an AI tutor
Free for 8 voice minutes per day. No credit card required. Curriculum-aligned to ACARA v9 (Australian Curriculum) from day one.