Mathematics Standard 11–12 units and assessments (2024)
Sample units and assessments to support teachers implementing the Mathematics Standard 11–12 Syllabus (2024).
Syllabus
Syllabus outcomes and content descriptors from Mathematics Standard 11–12 Syllabus (2024) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2025.
Year 11
These units and assessments for Year 11 do not represent the only way to complete or engage with these materials, they represent ‘one way’ of designing teaching and learning experiences.
A 9-lesson unit for Year 11 with supporting resources.
This sample program of learning addresses content from the focus areas of Formulas and equations and Data analysis. The lessons and sequences in this sample program of learning are designed to allow students to explore the connection between mathematics and health through statistical analysis. Students will learn about sampling methods, survey question desgin and analysis using histograms, polygons and boxplots. Students will apply algebraic concepts to various formulas related to health fields.
Introduction
Getting healthy – unit (DOCX 6.1 MB)
Lesson 1 – sampling techniques
Lesson 2 – designing questions and data classification
- Designing questions and data classification (DOCX 5.9 MB)
- Designing questions and data classification – slide deck (PPTX 3.6 MB)
Lesson 3 – flaws and fakes in data
Lesson 4 – cumulative frequency
- Cumulative frequency (DOCX 5.6 MB)
- Cumulative frequency – slide deck (PPTX 4 MB)
- Cumulative frequency – spreadsheet (XLSX 63 KB)
Lesson 5 – frequency polygons
- Frequency polygons (DOCX 4.2 MB)
- Frequency polygons – slide deck (PPTX 7 MB)
- Frequency polygons – spreadsheet (XLSX 134.5 KB)
Lesson 6 – five-number summary
Lesson 7 – interpreting box plots
Lesson 8 – outliers
Lesson 9 – formulas and medication dosages
A 19-lesson unit for Year 11 with supporting resources.
This sample program of learning addresses content from the focus areas of Formulas and equations, Linear relationships, Earning money and Managing money.
The lessons and sequences in this sample program of learning are designed to allow students to learn about financial mathematics, including ways of earning, taxation, purchasing goods and budgeting, as well as direct variation, creating equations from worded problems and using a spreadsheet to model linear relationships.
Introduction
Show me the money (DOCX 6.1 MB)
Lesson 1 – spreadsheets through wages
- Spreadsheets through wages (DOCX 4.5 MB)
- Spreadsheets through wages – spreadsheet (XLSX 97.3 KB)
- Spreadsheets through wages – slide deck (PPTX 1.4 MB)
Lesson 2 – direct variation
Lesson 3 – penalty rates
- Penalty rates (DOCX 5.9 MB)
- Penalty rates – spreadsheet (XLSX 60.4 KB)
- Penalty rates – slide deck (PPTX 1.5 MB)
Lesson 4 – royalties
Lesson 5 – piecework
Lesson 6 – finding and using the constant of variation
- Finding and using the constant of variation (DOCX 6.7 MB)
- Finding and using the constant of variation – slide deck (PPTX 3.2 MB)
Lesson 7 – salaries
Lesson 8 – leave loading
Lesson 9 – commission
- Commission (DOCX 7.9 MB)
- Commission – spreadsheet (XLSX 45.8 KB)
- Commission – slide deck (PPTX 4.5 MB)
Lesson 10 – sole traders
- Sole traders (DOCX 5.9 MB)
- Sole traders – spreadsheet (XLSX 53.1 KB)
- Sole traders – slide deck (PPTX 1.4 MB)
Lesson 11 – government payments
Lesson 12 – taxable income
- Taxable income (DOCX 4.8 MB)
- Taxable income – spreadsheet (XLSX 46 KB)
- Taxable income solutions – spreadsheet (XLSX 46.7 KB)
- Taxable income solutions – slide deck (PPTX 1.5 MB)
Lesson 13 – calculating income tax
Lesson 14 – Medicare levy
Lesson 15 – calculating tax owed
Lesson 16 – living costs
Lesson 17 – budgeting
Lesson 18 – buying on terms
Lesson 19 – buy now, pay later
A 6-lesson unit for Year 11 with resources.
This program of learning addresses content from the focus areas of Formulas and equations, Linear relationships, Managing money and Applications of measurement. The lessons and sequences in this program of learning are designed to allow students to explore the applications of measurement in the context of creating or producing things, as well as incorporating algebra formula skills, linear modelling and business-related finance such as profit and loss and GST.
Lesson 1 – prefixes for units of measurement
- Prefixes for units of measurement (DOCX 8.1 MB)
- Prefixes for units of measurement – slide deck (PPTX 4.2 MB)
Lesson 2 – arc length
Lesson 3 – Pythagoras' theorem
Lesson 4 – area of plane shapes
Lesson 5 – irregularly shaped blocks of land and trapezoidal rule
- Irregularly shaped blocks of land and trapezoidal rule (DOCX 9.5 MB)
- Irregularly shaped blocks of land and trapezoidal rule – slide deck (PPTX 5.5 MB)