What students learn in AC9M7A05
This unit helps students build a clear, usable understanding of Generate tables of values from visually growing patterns or the.... 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: generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- plotting points from a table of values generated using simple linear functions and recognising patterns, such as the points lie on a straight line discussing and using variables to create a general rule and use the rule to determine the value of the dependent variable for any given value of the independent variable; for example, plotting the value of the circumference of a circle for varying values of radius
- 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: generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
- E1: plotting points from a table of values generated using simple linear functions and recognising patterns, such as the points lie on a straight line
- E2: discussing and using variables to create a general rule and use the rule to determine the value of the dependent variable for any given value of the independent variable; for example, plotting the value of the circumference of a circle for varying values of radius
- E3: using function machines to generate a table of ordered pairs using input and output values, plotting the relationships on a Cartesian plane and describing the graph in terms of shape
- E4: using diagrams and manipulatives to form linear growth patterns, representing these patterns in tables and describing the relationship in terms of the way the pattern is growing and in the context of the situation
- E5: using a simple general-purpose programming language to create and use algorithms that generate growing patterns and graphing the relationships on a Cartesian plane
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
AC9M7A05 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 | AC9M7A05 — generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane |
| Victoria | Victorian Curriculum F-10 | Year 7 Maths: closest match in Algebra. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 4 Maths: closest content focus for Generate tables of values from visually growing patterns or the... and related outcomes. |
| United States | Common Core / NGSS | Grade 7 Common Core Mathematics/ELA closest topic match for Generate tables of values from visually growing patterns or the.... |
| England / UK | National Curriculum | Key Stage 3 / Year 7: closest programme-of-study match for Generate tables of values from visually growing patterns or the.... |
| Canada | Provincial and territory curricula | Grade 7 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 4 Maths: closest achievement-objective topic for Generate tables of values from visually growing patterns or the.... |
| India | NCERT / CBSE | Class 7 closest NCERT/CBSE topic match for Generate tables of values from visually growing patterns or the.... |