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, 2024.
This 2026 Mathematics Standard Stage 6 Quick Reference Guide (PDF 277 KB) provides an overview of support available to implement the Mathematics Standard (2024).
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.
Unit 1 – getting healthy – assessment task
Students will use a statistical investigation process to investigate an aspect of ‘Getting healthy’. Their results will be presented in a report which aims to answer a driving question.
Unit 5 – going places – assessment task
Students investigate how mathematical networks can model real-world connections by exploring Aboriginal songlines and star maps and analysing global travel routes. They apply network concepts such as vertices, edges, shortest paths, and minimum spanning trees, and use their networks to solve problems involving distance, routes, and time zones.
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 13-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.
Introduction
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)
Lesson 6 – composite area
Lesson 7 – volume
Lesson 8 – surface area
Lesson 9 – linear modelling
Lesson 10 – volume and capacity with the Trapezoidal rule
- Volume and capacity with the Trapezoidal rule (DOCX 5.9 MB)
- Volume and capacity with the Trapezoidal rule – slide deck (PPTX 4.1 MB)
Lesson 11 – volume of pyramids and cones
Lesson 12 – volume and surface area of spheres
- Volume and surface area of spheres (DOCX 5.9 MB)
- Volume and surface area of spheres – slide deck (PPTX 8.2 MB)
Lesson 13 – formulas with spreadsheets
An 11-lesson unit for Year 11 with resources.
This program of learning addresses content from the focus areas of Formulas and equations, Managing money, and Data analysis.
The lessons and sequences in this program of learning are designed to allow students to explore the connection between mathematics and driving though data analysis and algebraic manipulation.
Students investigate researching, purchasing, and operating a vehicle, including financial, legal, and safety considerations. They calculate costs, model expenses using spreadsheets, and analyse data through graphs and statistics.
Students apply algebra to distance, speed, and time relationships, interpret infographics, and explore factors such as braking distance and blood alcohol concentration.
Introduction
Lesson 1 – new car categorical data
- New car categorical data (DOCX 4.3 MB)
- New car categorical data – slide deck (PPTX 2.5 MB)
- New car categorical data – spreadsheet (XLSX 86 KB)
Lesson 2 – purchasing a car
Lesson 3 – ongoing costs
- Ongoing costs (DOCX 4.1 MB)
- Ongoing costs – slide deck (PPTX 4.4 MB)
- Ongoing costs – spreadsheet (XLSX 53 KB)
Lesson 4 – shape of a distribution
Lesson 5 – standard deviation
Lesson 6 – grouped data
- Grouped data (DOCX 7.7 MB)
- Grouped data – slide deck (PPTX 4.5 MB)
- Grouped data – spreadsheet (XLSX 106 KB)
Lesson 7 – stopping distance
Lesson 8 – quadratic formulas
Lesson 9 – infographics
Lesson 10 – blood alcohol content
Lesson 11 – applications of the BAC formula
An 9-lesson unit for Year 11 with resources.
This program of learning addresses content from the focus areas of Time and location as well as Networks, paths and trees. The lessons and sequences in this program of learning are designed to allow students to learn about positions on the Earth’s surface, time and time differences, network concepts as well as shortest paths and spanning trees.
Introduction
Lesson 1 – introduction to networks
Lesson 2 – constructing networks from a map
- Constructing networks from a map (DOCX 5.3 MB)
- Constructing networks from a map – slide deck (PPTX 3.6 MB)
Lesson 3 – constructing networks from a table
- Constructing networks from a table (DOCX 2.4 MB)
- Constructing networks from a table – slide deck (PPTX 8.7 MB)
Lesson 4 – minimum spanning trees
Lesson 5 – shortest path
Lesson 6 – latitude and longitude
Lesson 7 – Australian time zones
Lesson 8 – international time zones
Lesson 9 – international travel
Year 12
These units and assessments for Year 12 do not represent the only way to complete or engage with these materials, they represent ‘one way’ of designing teaching and learning experiences.
These resources contain differentiation suggestions for students completing the Mathematics Standard 1 course.
A 9-lesson unit for Year 12 with resources.
This program of learning addresses content from the focus area of Bivariate data analysis.
The lessons and sequences in this program of learning are designed to allow students to investigate bivariate datasets, focusing on the distinction between one-variable and bivariate data and on the relationship between independent and dependent variables.
Students will learn to identify correlation compared to causation, represent bivariate data using scatter plots and create lines of best fit.
Introduction
Lesson 1 – variables and scatter plots
Lesson 2 – creating scatter plots using spreadsheets
- Creating scatter plots using spreadsheets (DOCX 1.4 MB)
- Creating scatter plots using spreadsheets – slide deck (PPTX 2.4 MB)
- Creating scatter plots using spreadsheets (XLSX 54 KB)
Lesson 3 – formalising correlation
Lesson 4 – Pearson's correlation coefficient
Lesson 5 – creating and using the line of best fit by hand
- Creating and using the line of best fit by hand (DOCX 7.8 MB)
- Creating and using the line of best fit by hand – slide deck (PPTX 4.0 MB)
Lesson 6 – finding and using the equation of the line of best fit
- Finding and using the equation of the line of best fit (DOCX 4.6 MB)
- Finding and using the equation of the line of best fit – slide deck (PPTX 5.0 MB)
Lesson 7 – interpreting the equation of the line of best fit
- Interpreting the equation of the line of best fit (DOCX 3.2 MB)
- Interpreting the equation of the line of best fit – slide deck (PPTX 3.2 MB)