What students learn in AC9M7ST01
This unit helps students build a clear, usable understanding of Acquire data sets for discrete and continuous numerical variables and.... 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: acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- understanding that summarising data by calculating measures of centre can help make sense of the data, commenting on skewness or symmetry of data and the use of mean and median as representative measures comparing the mean, median, mode and range of displays of data from a given context, and explaining how outliers may affect summary statistics
- 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: acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data
- E1: understanding that summarising data by calculating measures of centre can help make sense of the data, commenting on skewness or symmetry of data and the use of mean and median as representative measures
- E2: comparing the mean, median, mode and range of displays of data from a given context, and explaining how outliers may affect summary statistics
- E3: recognising how different data sets can have the same measures of central tendency and experimenting with how varying data affects these measures
- E4: acquire continuous numerical data by taking measurement samples during a science experiment, observation or field study, comparing measures of central tendency and identifying any anomalies in the distribution of data
- E5: exploring how descriptive statistics are used by artificial intelligence developers to summarise and analyse data, assist the artificial intelligence in making informed decisions, and gain insights from the processed data; for example, descriptive statistics in recommendation systems can help analyse user behaviour and preferences
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
AC9M7ST01 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 | AC9M7ST01 — acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data |
| Victoria | Victorian Curriculum F-10 | Year 7 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 4 Maths: closest content focus for Acquire data sets for discrete and continuous numerical variables and... and related outcomes. |
| United States | Common Core / NGSS | Grade 7 Common Core Mathematics/ELA closest topic match for Acquire data sets for discrete and continuous numerical variables and.... |
| England / UK | National Curriculum | Key Stage 3 / Year 7: closest programme-of-study match for Acquire data sets for discrete and continuous numerical variables and.... |
| 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 Acquire data sets for discrete and continuous numerical variables and.... |
| India | NCERT / CBSE | Class 7 closest NCERT/CBSE topic match for Acquire data sets for discrete and continuous numerical variables and.... |