What students learn in AC9M4N04
This unit helps students build a clear, usable understanding of Count by fractions including mixed numerals; locate and represent these.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- cutting objects such as oranges or sandwiches into quarters and counting by quarters to find the total number, and saying the counting sequence: one-quarter, two-quarters, three-quarters, four-quarters or one-whole, five-quarters or one-and-one-quarter, six-quarters or one-and-two-quarters… eight-quarters or two-wholes... subdividing the sections between whole numbers on parallel number lines so that one shows halves, another shows quarters and one other shows thirds; counting the fractions by jumping along the number lines, and noticing when the count is at the same position on the parallel lines
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines
- E1: cutting objects such as oranges or sandwiches into quarters and counting by quarters to find the total number, and saying the counting sequence: one-quarter, two-quarters, three-quarters, four-quarters or one-whole, five-quarters or one-and-one-quarter, six-quarters or one-and-two-quarters… eight-quarters or two-wholes...
- E2: subdividing the sections between whole numbers on parallel number lines so that one shows halves, another shows quarters and one other shows thirds; counting the fractions by jumping along the number lines, and noticing when the count is at the same position on the parallel lines
- E3: converting mixed numerals into improper fractions and vice versa and representing mixed numerals on a number line
- E4: using a number line to represent and count in tenths, recognising that 10 tenths is equivalent to one
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9M4N04 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4N04 — count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines |
| Victoria | Victorian Curriculum F-10 | Year 4 Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 2 Maths: closest content focus for Count by fractions including mixed numerals; locate and represent these... and related outcomes. |
| United States | Common Core / NGSS | Grade 4 Common Core Mathematics/ELA closest topic match for Count by fractions including mixed numerals; locate and represent these.... |
| England / UK | National Curriculum | Key Stage 2 / Year 4: closest programme-of-study match for Count by fractions including mixed numerals; locate and represent these.... |
| Canada | Provincial and territory curricula | Grade 4 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 2 Maths: closest achievement-objective topic for Count by fractions including mixed numerals; locate and represent these.... |
| India | NCERT / CBSE | Class 4 closest NCERT/CBSE topic match for Count by fractions including mixed numerals; locate and represent these.... |