What students learn in AC9M6N01
This unit helps students build a clear, usable understanding of Situations, including financial contexts, that use integers; locate and represent.... 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: recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- extending the number line in the negative direction to locate and represent integers, recognising the difference in location between (-2) and (+2) and their relationship to zero as -2< 0< 2 using integers to represent quantities in financial contexts, including the concept of profit and loss for a planned event
- 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: recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane
- E1: extending the number line in the negative direction to locate and represent integers, recognising the difference in location between (-2) and (+2) and their relationship to zero as -2< 0< 2
- E2: using integers to represent quantities in financial contexts, including the concept of profit and loss for a planned event
- E3: using horizontal and vertical number lines to represent and find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators, above and below sea level; distinguishing a location by referencing to the 4 quadrants of the Cartesian plane
- E4: recognising that the sign (positive or negative) indicates a direction in relation to zero; for example, 30 metres left of the admin block is (-30) and 20 metres right of the admin block is (+20); programming robots to move along a number line which is either horizontal or vertical but not both at the same time
- E5: representing the temperatures of the different planets in the solar system, using a diagram of a thermometer that models a vertical number line
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
AC9M6N01 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 | AC9M6N01 — recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane |
| Victoria | Victorian Curriculum F-10 | Year 6 Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for Situations, including financial contexts, that use integers; locate and represent... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for Situations, including financial contexts, that use integers; locate and represent.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for Situations, including financial contexts, that use integers; locate and represent.... |
| Canada | Provincial and territory curricula | Grade 6 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 3 Maths: closest achievement-objective topic for Situations, including financial contexts, that use integers; locate and represent.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for Situations, including financial contexts, that use integers; locate and represent.... |