Mathematics 7–10 units and assessments
Sample units and assessments to support teachers of Years 7–10 implementing the mathematics K-10 syllabus.
Syllabus
The Mathematics K-10 syllabus (2023) is to be taught in Years 3 to 10 from 2024.
Detailed implementation information including key features and resources is available on the Mathematics syllabus development page (NESA).
The mathematics Year 7-10 units and assessments represent 'one way' of designing teaching and learning experiences
Stage 4
A 12-lesson unit for Year 7 with resources.
This program of learning addresses content from the focus areas of Fractions, decimals and percentages and Probability. The lessons and sequences in this program of learning are designed to allow students to explore the likelihood of chance events occurring, develop skills with fractions to describe and represent probabilities and make predictions about future events.
Introduction
Making predictions (DOCX 162 KB)
Lesson 1 – Alphabet soup
Lesson 2 – Would you rather?
Would you rather? (DOCX 149 KB)
Lesson 3 – Rolling to 10
Lesson 4 – Sense of order
Lesson 5 – Same same, but different
Lesson 6 – To be, or not to be
Lesson 7 – Rock, paper scissors
Lesson 8 – Myths and misconceptions
Lesson 9 – Fakes on trial
Lesson 10 – What's the chance?
What's the chance? (DOCX 841 KB)
Lesson 11 – Predicting evens
Lesson 12 – Alphabet soup the sequel
A 12-lesson unit for Year 7 with resources.
This program of learning addresses content from the focus areas of Data analysis and Data classification and visualisation. The lessons and sequences in this program of learning are designed to allow students to explore how we use data to assist in making decisions. Students will explore different ways of representing data which allow us to make decisions by analysing and interpreting the data.
Introduction
Making decisions (DOCX 135 KB)
Lesson 1 – Greedy pig game
Lesson 2 – What is normal?
Lesson 3 – The 3 M’s
Lesson 4 – What does Google know about me?
What does Google know about me? (DOCX 1.1 MB)
Lesson 5 – Slow reveal graphs
Lesson 6 – Proportion graphs
Lesson 7 – Breaking the code
Lesson 8 – Texting competition
Lesson 9 – Myth Busters
Lesson 10 – You should eat more chocolate
You should eat more chocolate (DOCX 89 KB)
Lesson 11 – Going to the Movies
Lesson 12 – How heavy is too heavy?
Stage 5
An 11-lesson unit for Year 9 with resources.
The lessons and sequences in this program of learning are designed to allow students to understand and use geometrical representations, applying concepts including proportion, scale factors, similarity and connections (networks) to represent real-life objects, spaces, situations and concepts.
Introduction
Geometrical representations (DOCX 155 KB)
Lesson 1 – Whales and chihuahuas
Lesson 2 – Scaled copies
Lesson 3 – Similar figures in art
Lesson 4 – How many angles?
Lesson 5 – Corresponding sides and angles
Lesson 6 – Scale factor
Lesson 7 – Scale factor in similar triangles
Lesson 8 – Movie magic
Lesson 9 – Maps and scale
Lesson 10 – Comparing representations
Lesson 11 – Scale factor and area
A 16-lesson unit for Year 9 with resources.
This program of learning addresses content from the focus areas Trigonometry A, Linear relationships A, Numbers of any magnitude, as well as Path focus areas Linear relationships C, and Indices C. The lessons and sequences in this program of learning are designed to allow students to use the properties of right-angled triangles to solve a range of geometrical, measurement and real-world problems.
Introduction
Working with triangles (DOCX 162 KB)
Lesson 1 – 45-degree angles
Lesson 2 – Larger and smaller angles
Lesson 3 – The tangent ratio
Lesson 4 – The sine and cosine ratios
Lesson 5 – I lost my calculator
I lost my calculator (DOCX 102 KB)
Lesson 6 – Finding missing sides
Lesson 7 – Significant distances
Lesson 8 – Mapping the classroom
Mapping the classroom (DOCX 7.1 MB)
Lesson 9 – Surd is the word
Surd is the word (DOCX 125 KB)
Lesson 10 – Distances
Lesson 11 – Midpoints
Lesson 12 – Trigonometry for navigation
Trigonometry for navigation (DOCX 1.2 MB)
Lesson 13 – How far around is one degree?
Lesson 14 – How steep is too steep?
Lesson 15 – Slopes as gradients
Slopes as gradients (DOCX 1.9 MB)