Mathematics 7–10 units and assessments

Assessment tasks

Assessment 1

This investigation style assessment is designed to assess the outcomes from Unit 1 – making predictions of the Department of Education’s sample Stage 4 Year 7 scope and sequence (DOCX 283 KB).

Stage 4 – Game on (DOCX 428.2 KB)

Assessment 2

This summative assessment package is designed to assess the outcomes from Unit 3 – representing number of the Department of Education’s sample Stage 4 Year 7 scope and sequence (DOCX 283 KB).

Assessment 3

This portfolio style of assessment is designed to assess the outcomes from Unit 3 – representing numbers, Unit 4 – additive strategies and Unit 5 – multiplicative strategies of the Department of Education's sample Stage 4 Year 7 scope and sequence (DOCX 283 KB).

Stage 4 – Portfolio (DOCX 6.2 MB)

Unit 1 – making predictions

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.

Lesson 3 – rolling to 10

Lesson 4 – sense of order

Sense of order (DOCX 564 KB)

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

Alphabet soup the sequel (DOCX 859 KB)

Unit 2 – making decisions

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 and make decisions by analysing and interpreting the data.

Introduction

Making decisions (DOCX 135 KB)

Lesson 1 – greedy pig game

Lesson 2 – what is normal?

What is normal? (DOCX 613 KB)

Lesson 3 – the 3 M’s

The 3 M’s (DOCX 110 KB)

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

Sector graphs (DOCX 88 KB)

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?

Unit 3 – representing numbers

A 13-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Computation with integers, fractions, decimals and percentages and Linear relationships. The lessons and sequences in this program of learning are designed to allow students to explore quantity of numbers and the different ways of representing this quantity. They consider the equivalence between different representations of numbers and the structural elements of numbers that form quantity.

Introduction

Representing numbers (DOCX 166.1 KB)

Lesson 1 – highest common factor of integers

Highest common factor of integers (DOCX 456.9 KB)

Lesson 2 – less than zero

Less than zero (DOCX 1.4 MB)

Lesson 3 – direction and magnitude

Direction and magnitude (DOCX 3.1 MB)

Lesson 4 – zero pairs

Zero pairs (DOCX 330.2 KB)

Lesson 5 – listen to the music

Listen to the music (DOCX 531.3 KB)

Lesson 6 – recipe for success

Lesson 7 – inventing units of measurment

Lesson 8 – the nasty game

The nasty game (DOCX 365.5 KB)

Lesson 9 – comparing using place value

Lesson 10 – approximate measurements

Lesson 11 – be rational

Lesson 12 – fractions and decimals and percentages – oh my!

Lesson 13 – describing locations

Unit 4 – additive thinking

A 12-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Computation with integers, Fractions, decimals and percentages, and Algebraic techniques. The lessons and sequences in this program of learning are designed to allow students to explore addition and subtraction of integers, fractions, and algebraic terms. A variety of visual representations are developed as tools that students can rely on within this unit and beyond.

Introduction

Additive thinking (DOCX 161 KB)

Lesson 1 – banking troubles

Banking troubles (DOCX 395 KB)

Lesson 2 – bonuses and penalties

Lesson 3 – addition of integers using vectors

Lesson 4 – subtraction of integers using vectors

Lesson 5 – same same

Lesson 6 – why fractions with different denominators don’t align

Why fractions with different denominators don’t align (DOCX 106 KB)

Lesson 7 – seeing double

Lesson 8 – how to deal with different denominators

Lesson 9 – which numbers go here?

Lesson 10 – inverse journeys

Lesson 11 – stepping through unknowns

Lesson 12 – laying the foundations of algebra

Unit 5 – multiplicative thinking

A 19-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Computation with integers, Fractions, decimals and percentages, Algebraic techniques and Indices. The lessons and sequences in this program of learning are designed to allow students to explore the multiplication and division of integers, fractions, and algebraic terms. A variety of visual representations are developed as tools students can rely on within this unit and beyond.

Introduction

Multiplicative thinking (DOCX 169 KB)

Lesson 1 – negative groups of negatives

Lesson 2 – sharing, grouping and negating

Lesson 3 – area models and divisibility tests

Lesson 4 – the ants go marching

Lesson 5 – a big problem with small numbers

Lesson 6 – the magical factor trees

Lesson 7 – that's about right

Lesson 8 – a quick guess

Lesson 9 – cooking for one

Lesson 10 – a shopping plan

Lesson 11 – when it's fair to compare the pair

Lesson 12 – a fair share

Lesson 13 – the order of things

Lesson 14 – four fours

Lesson 15 – groups of mysteries

Lesson 16 – dividing into the unknown

Lesson 17 – which number goes here? – (multiplying and dividing)

Lesson 18 – inverse journeys – multiplying

Lesson 19 – make it clear

Make it clear (DOCX 131 KB)

Unit 6 – triangles and quadrilaterals

An 11-lesson unit for Year 7 with resources.

This program of learning addresses content from the focus areas of Angle relationships and Properties of geometrical figures. The lessons and sequences in this program of learning are designed to allow students to explore triangles and quadrilaterals, developing the language, knowledge and understanding to be able to classify these 2-dimensional shapes according to their geometrical properties and apply this to meaningfully make connections across topics and concepts.

Introduction

Triangles and quadrilaterals (DOCX 4.2 MB)

Lesson 1 – strike a pose

Lesson 2 – is that a triangle?

Lesson 3 – I see triangles

Lesson 4 – throwing light on the exteriors

Lesson 5 – unravelling tessellations

Lesson 6 – sides and angles united

Lesson 7 – diamonds of geometry

Lesson 8 – two of a kind

Two of a kind (DOCX 5.9 MB)

Lesson 9 – tackling trapeziums

Lesson 10 – let's go fly a kite

Lesson 11 – quadrilateral quest

Unit 7 – length and area

This program of learning addresses content from the focus areas of fractions, decimals and percentages, algebraic techniques, equations, length and area.

The lessons and sequences in this program of learning are designed to allow students to explore the spatial properties of 2-dimensional figures, focusing specifically on length and area, as well as the usefulness of related numerical and algebraic tools.

Introduction

Length and area – unit of work (DOCX 364 KB)

Lesson 1 – getting around

Getting around (DOCX 522 KB)

Lesson 2 – express yourself

Lesson 3 – boundary battle

Lesson 4 – uncovering shape secrets

Lesson 5 – perimeter pals

Lesson 6 – enough room for us all

Lesson 7 – are all areas created equal

Lesson 8 – which quadrat

Lesson 9 – which way is up

Lesson 10 – escher llations

Escher llations (DOCX 567 KB)

Lesson 11 – a slant on solar energy

Lesson 12 – too clever by half

Lesson 13 – quickly counting kites

Lesson 14 – property trap

Lesson 15 – growing pains

Lesson 16 – it's a sign

Unit 8 – constructing prisms

This program of learning addresses content from the focus area of Volume. The lessons and sequences in this program of learning are designed to allow students to describe, represent and calculate the volume of prisms. As well as convert between metric units of volume and capacity to solve problems involving right prisms.

Introduction

Constructing prisms – unit (DOCX 341 KB)

Lesson 1 – different views

Lesson 2 – cross-sections

Cross-sections (DOCX 659 KB)

Lesson 3 – multiple cubes

Lesson 4 – a loaf of bread

Lesson 5 – finding volumes

Lesson 6 – volume and capacity

Lesson 7 – fish in captivity

Lesson 8 – fuel

Unit 9 – shape and skew

This program of learning addresses content from the focus areas of Data classification and visualisation and Data analysis. The lessons and sequences in this program of learning are designed to allow students to explore how to analyse frequency distribution graphs using measures of centre and spread, and shape and skew of a graph.

Introduction

Shape and skew – unit (DOCX 5.89 MB)

Lesson 1 – broccoli soup

Lesson 2 – goal-free soccer

Lesson 3 – the big sick

Lesson 4 – shooting hoops

Lesson 5 – footy fit

Lesson 6 – picture perfect

Lesson 7 – pass it on graph style

Lesson 8 – wisdom of the crowd

Lesson 9 – the best centre

Lesson 10 – random samples

Lesson 11 – survival of the fittest

Survival of the fittest (DOCX 4.27 MB)

Unit 10 – investigating triangles

This program of learning addresses content from the focus area of Volume. The lessons and sequences in this program of learning are designed to allow students to describe, represent and calculate the volume of prisms. As well as convert between metric units of volume and capacity to solve problems involving right prisms.

Introduction

Investigating triangles – unit of work (DOCX 343 KB)

Lesson 1 – ways of working (equations)

Lesson 2 – quadratic equations

Lesson 3 – Pythagoras' theorem

Lesson 4 – almost exactly

Lesson 5 – hole in one

Lesson 6 – what's square

Assessment tasks

Assessment 1

This investigation style assessment is designed to assess the outcomes from Unit 1 – Geometrical Representations of the Department of Education’s sample Stage 5 Year 9 scope and sequence (DOCX 258 KB).

Stage 5 – How accessible is your school? (DOCX 428.2 KB)

Assessment 2

This summative assessment package is designed to assess the outcomes from Unit 2 – Working with triangles and Unit 3 – prisms and cylinders of the Department of Education’s sample Stage 5 Year 9 scope and sequence (DOCX 258 KB).

Assessment 3

This presentation style assessment is designed to assess the outcomes from Unit 5 – financial mathematics and Unit 6 – constant rates of change of the Department of Education's sample stage year 9 scope and sequence (DOCX 258 KB).

Stage 5 – How can we provide for tomorrows healthcare? (DOCX 440.2 KB)

Unit 1 – geometric representations

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

Scale factor and area (DOCX 165 KB)

Unit 2 – working with triangles

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

Distances (DOCX 647 MB)

Lesson 11 – midpoints

Midpoints (DOCX 510 KB)

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)

Lesson 16 – gradients in the Cartesian plane

Gradients in the Cartesian plane (DOCX 298 KB)

Unit 3 – prisms and cylinders

An 18-lesson unit for Year 9 with resources.

This program of learning addresses content from the focus areas of Area and surface area A, Volume A, Algebraic techniques A, Equations A, Numbers of any magnitude, as well as Path focus areas Area and surface area B, Volume B and Equations C. The lessons and sequences in this program of learning are designed to allow students to tie together the big ideas across algebra, number and geometry and measurement and will build on student knowledge and understanding of area to develop and apply formulas for the surface area of prisms and cylinders.

Introduction

Prisms and cylinders (DOCX 167 KB)

Lesson 1 – visualising nets

Lesson 2 – leftover challenge

Leftover challenge (DOCX 186 KB)

Lesson 3 – cube houses

Lesson 4 – beyond the surface

Beyond the surface (DOCX 327 KB)

Lesson 5 – A4 cylinders

Lesson 6 – margin for errors

Lesson 7 – under pressure

Under pressure (DOCX 324 KB)

Lesson 8 – how do animals keep cool?

How do animals keep cool? (DOCX 2.4 MB)

Lesson 9 – deep dive

Lesson 10 – exploring unknowns

Lesson 11 – the secrets of pyramids

The secrets of pyramids (DOCX 1.1 MB)

Lesson 12 – sphere's the thing

Lesson 13 – cup or cone

Lesson 14 – concrete dreams

Concrete dreams (DOCX 310 KB)

Lesson 15 – perfect packaging

Perfect packaging (DOCX 294 KB)

Lesson 16 – tank it to the limit

Tank it to the limit (DOCX 1.2 MB)

Lesson 17 – icing on the cake

Icing on the cake (DOCX 96 KB)

Lesson 18 – to the beat of your own drum

To the beat of your own drum (DOCX 94 KB)

Unit 4 – index laws

A 9-lesson unit for Year 9 with resources.

This program of learning addresses content from the Core focus areas of Indices A and Numbers of any magnitude as well as Path focus areas of Indices B and Indices C. The lessons and sequences in this program of learning are designed to allow students to explore the index laws and apply them both numerically and algebraically.

Introduction

Index laws (DOCX 152 KB)

Lesson 1 – invaluable indices

Lesson 2 – mathematical shorthand

Lesson 3 – how many trips to the moon?

How many trips to the moon? (DOCX 124 KB)

Lesson 4 – growing with power

Growing with power (DOCX 194 KB)

Lesson 5 – let's power down

Lesson 6 – reflecting on practice

Reflecting on practice (DOCX 874 KB)

Lesson 7 – mathematical shorthand continued

Lesson 8 – half-life

Lesson 9 – that's ab-surd!

Unit 5 – financial mathematics

An 11-lesson unit for Year 9 with resources.

This program of learning addresses content from the focus areas of Financial mathematics A and Equations A. The lessons and sequences in this program of learning are designed to allow students to explore number and algebra skills and build students’ knowledge and understanding of earning and spending money by relating the concepts to a real world context.

Introduction

Financial mathematics (DOCX 148 KB)

Lesson 1 – how much will I earn

Lesson 2 – what should I do when I am older

What should I do when I am older (DOCX 102 KB)

Lesson 3 – how much will it cost

Lesson 4 – what more pay!

Lesson 5 – I need more money

I need more money (DOCX 516 KB)

Lesson 6 – percentage of my earnings

Lesson 7 – is that fair?

Is that fair (DOCX 94 KB)

Lesson 8 – the secrets to keeping more money

Lesson 9 – how can I get my money back

Lesson 10 – watch money grow

Lesson 11 – now or later

Now or later (DOCX 87 KB)

Unit 6 – constant rates of change

A 14-lesson unit for Year 9 with resources.

This program of learning addresses content from the focus areas of Linear relationships A, Linear relationships B and Equations A, as well as Path focus areas Variation and rates of change A, Equations C and Linear Relationships C. The lessons and sequences in this program of learning are designed to allow students to explore the representations of linear relationships and how they are used to model situations and solve problems.

Introduction

Constant rates of change (DOCX 6.3 MB)

Lesson 1 – journey to linearity

Journey to linearity (DOCX 7.7 MB)

Lesson 2 – money matters

Lesson 3 – slope-a-palooza

Slope-a-palooza (DOCX 7.6 MB)

Lesson 4 – how efficient is my car?

Lesson 5 – holiday money

Lesson 6 – yubercept

Lesson 7 – what’s the line?

Lesson 8 – line it up

Lesson 9 – cutting through lines

Lesson 10 – graphing general mayhem

Lesson 11 – it’s getting hot in here

Lesson 12 – tortoise and the hare

Tortoise and the hare (DOCX 7.8 MB)

Lesson 13 – simultaneous shopping

Lesson 14 – sums and differences

Unit 7 – making predictions

This program of learning addresses content from the focus area of Probability. The lessons and sequences in this program of learning are designed to allow students to explore multi-stage events and simulations to make predictions.

Introduction

Making predictions – unit of work (DOCX 348 KB)

Lesson 1 – prediction palette

Lesson 2 – the skunk game

Lesson 3 – random relay

Lesson 4 – toadal eclipse

Lesson 5 – Monty Hall

Lesson 6 – demystifying the birthday paradox

Lesson 7 – what’s on the packet is in the packet

Lesson 8 – tables 2 ways

Lesson 9 – home ground advantage

Unit 8 – making decisions

This program of learning addresses content from the core focus area of Data analysis A. The lessons and sequences in this program of learning are designed to allow students to explore standard deviation, the 5-number summary and box plots to help make informed decisions about the data.

Introduction

Making decisions – unit of work (DOCX 4.38 MB)

Lesson 1 – revisiting the mean

Revisiting the mean (DOCX 9.83 MB)

Lesson 2 – average from the average

Lesson 3 – who gets to drive?

Lesson 4 – four equal groups

Lesson 5 – IQR and boxplots

Lesson 6 – balls and boxes

Lesson 7 – distracted drivers

Lesson 8 – temperature's rising

Lesson 9 – what is the data telling us

Unit 9 – surveying

This program of learning addresses content from the focus areas of Trigonometry B and C, Non-linear relationships C and Properties of geometrical figures A. The lessons and sequences in this program of learning are designed to allow students to explore mapping and navigation of the world using right-angled and non-right angled trigonometry, circles and similar figures.

Introduction

Surveying – unit of work (DOCX 358 KB)

Lesson 1 – traverse survey

Lesson 2 – approximating distance

Lesson 3 – river crossing

Lesson 4 – slope seekers

Lesson 5 – the great pyramid

Lesson 6 – getting my bearings

Lesson 7 – lost in the clouds

Lesson 8 – bearing it all

Lesson 9 – going around in circles

Lesson 10 – GPS positioning

Lesson 11 – sine of the apostle

Lesson 12 – tracking erosion

Lesson 13 – cosine rules

Lesson 14 – cos it's the angle

Lesson 15 – radial survey

Unit 10 – expressions and equations

This program of learning addresses content from the focus areas of Algebraic techniques A, Equations A, Algebraic techniques B, and Equations C. The lessons and sequences in this program of learning are designed to allow students to explore operating with algebraic expressions and equations.

Introduction

Expressions and equations – unit of work (DOCX 351 KB)

Lesson 1 – the power of one

Lesson 2 – multiplying multiple ways

Lesson 3 – divide and conquer

Lesson 4 – expand your mind

Lesson 5 – factor it in

Lesson 6 – age old question

Lesson 7 – packing then unpacking

Lesson 8 – does it matter where you start

Year 10 – maths in science elective

This program of learning addresses content from the Path focus areas of Variation and rates of change A, Variation and rates of change B, Non-linear relationships C, and Logarithms. The lessons and sequences in this program of learning are designed to allow students to explore applications of mathematics in science. Students will explore rates of change, non-linear relationships, and logarithms in real world contexts.

This Year 10 unit is designed to be an elective unit to extend students that have completed the Core content within Stage 5. All lessons incorporate Path content and assume students are confident with related Core content.