Acknowledgements

The Mathematics Hub proudly acknowledges the stakeholders, the organisations and our collaborators for the continued work, skills and effort required to support mathematics and numeracy outcomes for Australian students, families, teachers and schools.

Government Departments

Australian Government Department of Education
Australian Curriculum, Assessment and Reporting Authority
New South Wales Department of Education
Victorian Department of Education and Training

Educational Organisations

Aboriginal and Torres Strait Islander Mathematics Alliance
Australian Association of Mathematics Teachers
Mathematical Association of Victoria
Maths Eyes (haveyougotmathseyes.com) / Dr Theresa Maguire
Stronger Smarter Institute
University of Adelaide (CSER Digital Technologies MOOCs, Faculty of Sciences, Engineering and Technologies)

Subject Matter Experts

Alex Box
Donna Buckley
Fiona Clarke
Associate Professor Helen Chick
Allan Dougan
Steven Goldberg
Charis Gotticher-Hill
Eleni Giamadakis
Genovieve Grouios
Michelle Hamill
Martin Holt
Nerida McGeachie
Vicky Kennard
Christine Lenghaus
Leigh-Lancaster Consulting
Cassandra Lowry
Dr Sharyn Livvy
Dr Caty Morris
Narelle Morris
Dr Pauline Rogers
Dr Bronwyn Reid O’Connor
Debbie Reinholtd
Dr James Russo
Angela Scuderi
Emeritus Professor Peter Sullivan
Shanti Treloar
Professor Chris Tisdell
Associate Professor Jennifer Way

Third-party material

Material from Australian Curriculum website © Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website (www.australiancurriculum.edu.au (Website) (accessed 19 December 2022) and was not modified. The material is licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0).

Supporting your child's learning pamphlets are produced by and copyright of New Zealand Ministry of Education and have been used and adapted with permission.

The New South Wales Department of Education provided advice on developing the Year 1 Number Check. Items in the Number Check provided by the New South Wales Department of Education are copyright and may be used for the purposes of the Number Check only.

Third-party images

2D Cartesian plane with marked coordinates (-3,1), (-1.5, -2.5), (0,0) and (2,3) © K Bolino/Wikimedia Commons

3D illustration of COVID-19 © HFCM Communicatie/Wikimedia Commons/CC BY-SA 3.0

3D objects: cubes, rectangular prisms, cylinders, triangular prisms and a building made of blocks © OpenClipart-Vectors/Pixabay

3D objects: cylinders, square-based pyramids, rectangular-based pyramids, cubes, rectangular prisms and half-spheres © Clker-Free-Vector-Images/Pixabay

A game with wooden blocks laid out according to colour © Tatyana Abramovich/Alamy Stock Photo

Adam Spencer © Mal Vickers/Wikimedia Commons/CC BY-SA 4.0

Aerial view of house being built © Avel Chuklanov/Unsplash Image Library

Air force personnel © New Zealand Defence Force/Wikimedia Commons/CC BY 2.0

Alarm clock in a blue circle with pink background © Memed_Nurrohmad/Pixabay

Andromeda Galaxy © David (Deddy) Dayag/Wikimedia Commons/CC BY-SA 4.0

Appointment data graphic © Joniarroab/Wikimedia Commons/CC BY-SA 4.0

Architecture blueprint © Pixabay

Arrows illustration © CubingSimplified/Wikimedia Commons/CC BY-SA 4.0

Artificial intelligence © Computer17293866/Wikimedia Commons/CC BY-SA 4.0

Asanoha Japanese hemp leaf patter © Creamfeeder foundation/Shutterstock.com

Assorted tops © Aden Ardenrich/Pexels

Astronaut © NASA/Wikimedia Commons

Augmented reality anatomy © zedinteractive/Wikimedia commons

Australia precipitation map © NOAA

Australian coins © iStock.com/hddigital

Baseball positions © Michael J/Wikimedia Commons/CC BY-SA 4.0

Basil under artificial light © WIPO/Wikimedia Commons/CC BY-SA 4.0

Battleship game © Julie deshaies/Shutterstock.com

Bean sprout shooting out of the earth © lukovic photograpy/Shutterstock.com

Big data © Learntek/Wikimedia Commons

Big data analytics © Wikimedia Commons

Bird in a mirror laying on grass © Jovis Aloor/Unsplash Image Library

Bitcoin © Wikimedia Commons/CC BY 3.0

Black and white building © OpenClipart-Vectors/Pixabay

Black and white Christmas tree © Clker-Free-Vector-Images/Pixabay

Black and white crab © GDJ/Pixabay

Black and white flower © OpenClipart-Vectors/Pixabay

Black and white monkey © GDJ/Pixabay

Black and white pattern graphic © gingertea/Pixabay

Blender character © Blender Studio/Wikimedia Commons/CC BY 4.0

Blue and purple ruler with an orange background © derGestalterCottbus/pixabay

Blue calendar with blue and orange squares © 200degrees/Pixabay

Blue checked ribbon © sushsh/iStock.com

Blue, purple and white kitchen items © simisi1/ Pixabay

Book, blackboard, eraser, protractor and compass © Kewee/Pixabay

Bowl of oats © o-che/iStock.com

Box template © Jamie Robertson

Boy cutting yellow paper in classroom © EyeEm/Alamy Stock Photo

Bubblegum machine © mohsinmajeedmohsin3/Pixabay

Business meeting © Johner Images/Alamy Stock Photo

Calculator and checklist © pxhere/Wikimedia Commons

Calculator and paperwork © pxhere/Wikimedia Commons

Calendar with the number 25 on the face © vectorstall/Pixabay

Carton of milk © Artem Shevchenko/Shutterstock.com

Cartoon beach ball © Clker-Free-Vector-Images/Pixabay

Cartoon butterfly © OpenClipart-Vectors/Pixabay

Cartoon cheese wedge © Clker-Free-Vector-Images/Pixabay

Cartoon clownfish © OpenClipart-Vectors/Pixabay

Cartoon dog bone © Clker-Free-Vector-Images/Pixabay

Cartoon dog bowl © Clker-Free-Vector-Images/Pixabay

Cartoon dog kennel © AnnaliseArt/ Pixabay

Cartoon dogs and cats © Clker-Free-Vector-Images/Pixabay

Cartoon map with slide, soccer pitch, sandpit, seesaw, bench seats, carousel and lake with boat © OpenClipart-Vectors/Pixabay

Cartoon measuring jug © OpenClipart-Vectors/Pixabay

Cartoon of man pulling the sun with rope, mushroom trees, hourglass sand timer and clock hands within the sun © 95C/Pixabay

Cartoon playground with ring set © Ricarda Mölck/Pixabay

Cartoon seesaw © OpenClipart-Vectors/Pixabay

Cartoon soft drink can © Clker-Free-Vector-Images/Pixabay

Cartoon stack of books © Kidaha/Pixabay

Cartoon swing set © OpenClipart-Vectors/Pixabay

Cartoon tissue box © Clker-Free-Vector-Images/Pixabay

Cartoon treasure map © Clker-Free-Vector-Images/Pixabay

Cartoon watermelon slice © Clker-Free-Vector-Images/Pixabay

Cartoon yellow tent © GraphicsSC/Pixabay

Cast of Hidden Figures © NASA/Wikimedia Commons/CC BY-SA 2.0

Chatswood railway station © John Robert McPherson/Wikimedia Commons/CC BY-SA 4.0

Chichen Itza pyramid in Mexico with a trapezoid shape overlay © Robiator/Pixabay

Child with dominoes © Kristin Rogers Photography/Stocksy United

Children and teacher with dice in classroom © davidf/Getty Images

Children playing maths game with their teacher in the classroom © davidf/Getty Images

Children setting up a robot © Education Services Australia

Children’s library books © ProjectManhattan/Wikimedia Commons/CC BY-SA 3.0

Chinese wedding symbol © TY Lim/Shutterstock.com

Climate change models © Annual Reviews/Wikimedia Commons/CC BY-SA 4.0

Clock face © Clker-Free-Vector-Images/Pixabay

Clock face © szefei/Shutterstock.com

Clock face with 12-hour and 24-hour time © EJM_Missouri/Pixabay

Clock face with no hands © Petr Adam Dohnálek/Wikimedia Commons

Coach © 8DC Photography/CC BY 2.0 DEED

Coin toss © ICMA Photos/Wikimedia Commons/CC BY-SA 2.0

Collage of 2D geometric shapes in varying shades of blue and white © MagicPattern/Unsplash Image Library

Coloured building blocks and cubes © OpenClipart-Vectors/Pixabay

Coloured circle permutations of 3 © Guy vandegrift/Wikimedia Commons/CC BY-SA 2.0

Coloured confetti dots made from tissue paper © Mel Poole/Unsplash Image Library

Coloured paper clips on an orange background © Hendri Sabri/Unsplash Image Library

Coloured pencils with cloud and blue sky © Kidaha/Pixabay

Colourful counting rods © agefotostock/Alamy Stock Photo

Colourful glass bead bracelets © Silvia Fiodorova/Shutterstock.com

Colourful kites in the sky © Clker-Free-Vector-Images/Pixabay

Colourful maths fractions © Chekyravaa/Shutterstock.com

Colourful popsicle sticks © deborahmiller56/Pixabay

Colourful square tangram puzzle © tomertu/Shutterstock.com

Compass © Tima Miroshnichenko/Pexels

Composite image of maths © Wavebreakmedia Ltd FUS1608/Alamy Stock Photo

Concrete building © Henry & Co./Pexels

Construction site visit © NAVFAC/Flickr/CC BY 2.0

Cooking scales, measuring spoons, measuring jug, whisk, ladle and vegetable peeler © 7089643/Pixabay

Coronavirus © HFCM Communicatie/Wikimedia Commons/CC BY-SA 4.0

Crawling green cobra © Panther Media GmbH/Alamy Stock Photo

Creative maths fractions on violet background © iStock.com/Nataliia Tymofieieva

Cross-curriculum priority infographic © Stronger Smarter Institute

CT scan © US Navy page from United States of America/Wikimedia Commons

Cube diagram © Parcly Taxel/Wikimedia Commons

Cuboid/rectangular prism diagram © DaBler/Wikimedia Commons

Cuisenaire rods © Alex Hinds/Alamy Stock Photo

Cyber crime © ITSveronica/Wikimedia Commons/CC BY-SA 4.0

Cyber crime abstract concept © ITSveronica/Wikimedia Commons/CC BY-SA 4.0

Cylinder diagram © A Özgür Erdemli/Wikimedia Commons

Cylinders, spheres and square with a green background © mihsan23th/Pixabay

Diagram from US-CERT's report on APT28 and APT29 © United States Computer Emergency Readiness Team/Wikimedia Commons

Dice © anncapictures/Pixabay

Dice © Justin Matthews/Wikimedia Commons/CC BY 3.0

Digital scales © iStock.com/MileA

Digital thermometer © Anton Uniqueton/Pexels

Different kinds of rulers © Karolina Grabowska/Pexels

Discussion in a work room © imageBROKER/Alamy Stock Photo

Diverse group of students with their teacher © iStock.com/JohnnyGreig

Doctor and baby © Unsplash/CDC

Dog mat with brown and white ring pattern © OpenClipart-Vectors/Pixabay

Double storey terrace houses © marg99ar/iStock.com

Ear protection and drop saw © Cetteup/Unsplash

Eddie Woo © Samuel Wiki/Wikimedia Commons/CC BY 4.0

Empty measuring jug with capacity of 500 ml © LoSchmi/Pixabay

Environmental study day © WhenualtiOutdoors/Wikimedia Commons/CC BY-SA 4.0

Eucalyptus fruits isolated on white background © Alfio Scisetti/Alamy Stock Photo

Eucalyptus leaf isolated on a white background © Alfio Scisetti/Alamy Stock Photo

Exponential growth, logistic growth graphic © OpenStax Biology/Wikimedia Commons/CC BY-SA 4.0

Face mask design © Pavel Danilyuk/Pexels

Faculty of Environmental Design ABU University © Anasskoko/Wikimedia Commons/CC BY-SA 3.0

Fairy penguins on the beach © ozflash/iStock.com

Family playing soccer in the backyard © nazar_ab/iStock.com

Fashion design illustration © Michael Burrows/Unsplash

Father and daughter building robot © MoMo Productions/Getty Images

Female teacher using whiteboard in front of the class © Phil Boorman/Getty Images

Ferris wheel against cityscape © TkKurikawa/iStock.com

Fez cover art © Polytron Corporation/Wikimedia Commons/CC BY-SA 3.0

Fish and coral reef © Cliff/Wikimedia Commons/CC BY 2.0

Fish pattern with matchsticks © Jamie Robertson

Flag map of Hungary 1940–1941 © Wikimedia Commons

Floor tiles © pxhere

Four arrows pointing up, down, left and right © OpenClipart-Vectors/Pixabay

Four female teachers around table © Education Services Australia

Four plastic measuring cups isolated on white background © Nuwat Chanthachanthuek/Alamy Stock Photo

Fuel pump © iStock.com/jaminwell

Geometric wall pattern, National Mosque of Malaysia © Aisyaqilumar/Dreamstime.com

Girl points out screen of tablet to teacher © iStock.com/Sturti

Girl using computer © Education Services Australia

Grand Bazaar in Turkey © iStock/serts

Green cartoon slide © Ricarda Mölck/Pixabay

Green plastic snake © Panther Media GmbH/Alamy Stock Photo

Green turtle © dive-hive/Shutterstock.com

Green USB stick © Anton Starikov/Alamy Stock Photo

Green weatherboard house © pamspix/iStock.com

Grey kitten in a basket © Pexels/Pixabay

Ham and salad sandwich © ltummy/Shutterstock.com

Happy grandmother and granddaughters playing with alphabet blocks at table © Moodboard Stock Photography/Alamy Stock Photo

Health insurance coverage © One World in Data/Wikimedia Commons/CC-BY 3.0

Horizontal banner with team of university students © Davide Zanin/Alamy Stock Photo

House construction © Michael Coghan/Flickr/CC BY-SA 2.0

Hubble Ultra Deep Field galaxies © NASA, ESA and S Beckwith (STScI) and the HUDF Team

Indigenous student with arm raised to ask a question © courtneyk/istock.com

Illustration of a bearded gold prospector panning for gold © TopVectors/iStock.com

Illustration of a gingerbread man, donut, slices of cake, muffin and cream bun © Prawny/Pixabay

Illustration of an arrow going forward and veering right © geralt/Pixabay

Illustration of Egyptian pyramids and camels © Trang Le/Pixabay

Illustration of green 4WD car © robuart/iStock.com

Illustrations of two identical clocks at 3 o'clock © joealfaraby/Pixabay

Internet and multimedia sharing © publicdomainpictures

iPhone © Mediamodifier/Pixabay

Jelly beans © Tiia Monto/Wikimedia Commons/CC BY-SA 3.0

Kellogg’s Corn Flakes cereal box © Sten Ritterfeld/Unsplash Image Library

Kitchen scales © iStock.com/KarpenkovDenis

Koala © Johannes Maximilian/Wikimedia Commons/CC BY 4.0

Kookaburra © Lip Fee/Flickr/CC BY-SA 2.0

Land plots and farm plots dotted with sheds and cars © Monstera/Pexels

Large turtle on a white background © SOMMAI/Shutterstock.com

Lauren Jackson © By Bidgee/CC BY-SA 3.0

LEGO man hiking with map and compass in hand © aitoff/Pixabay

Lettuce in greenhouse © Unsplash/Tia

Lighthouse © lumix2004/ Pixabay

Linked open data cloud © Thomas Shafee/Wikimedia Commons/CC BY 4.0

Little girl looking up and thinking © Elena Gurova/Alamy Stock Photo

Male doing bench press © Jun/iStock.com

Male rugby player © OSTILL/iStock.com

Man and children in a field of cabbages © Sultan Ahmed Niloy/Pexels

Man on electronic scales with a weight of 116.6 kg © Andres Ayrton/Pexels

Map illustration © Jamie Robertson

Map of disasters © Daniel Mietchen/Wikimedia Commons/CC BY-SA 4.0

Marine coastal ecosystems © Commonwealth of Australia/Wikimedia Commons/CC BY 4.0

Maths game being played in classroom © davidf/Getty Images

Maths notes with handwriting © Pongphan Ruengchai/Alamy Stock Photo

Maths symbols on paper posted on a wooden board © RDNE Stock project/Pexels

Measuring tape © PaulPaladin/Alamy Stock Photo

Measuring tape with pink background © Ekaterina Grosheva/Unsplash Image Library

Microorganisms and climate change © Nature reviews microbiology/Wikimedia Commons/CC BY 4.0

Mother and her daughters with maths game © Kristin Rogers Photography/Stocksy United

Mother helping her son with homework © pikselstock/Alamy Stock Photo

Multicoloured abacus © Skitterphoto/Pexels

Nautilus shell © Lorna Roberts/Dreamstime.com

Newspaper bar graphs © ImageDB/Alamy Stock Photo

Notebook, circle protractor, triangle ruler, scissors and pencils © Kewee/Pixabay

Notepad, pencil, timetable and triangle ruler © Darkmoon_Art/ Pixabay

Numbat © Martybugs/Wikimedia Commons/CC BY 3.0

Number system © neeraj chaturvedi/Alamy Stock Photo

Odd socks pegged to a clothesline © YAY Media AS/Alamy Stock Photo

Orange and yellow cubes and brown pyramid © Mikhail Nilov/Pexels

OrthoFinder algorithm © David Emms/Wikimedia Commons/CC BY-SA 4.0

Outline of a snowflake © OpenClipart-Vectors/Pixabay

Pair of red dice © Steve Green/Shutterstock.com

Pair of turtles © Alexey Stiop/Shutterstock.com

Pancharatha, North Indian temple design © Tangopaso/CC BY-SA 3.0 DEED

Pascal’s rule © Guy vandegrift/Wikimedia Commons/CC BY-SA 2.0

Patty Mills © Rob Masefield (masey.co)/CC BY-NC-ND 2.0

Pavement design in Spain © Steve Allen/Shutterstock.com

Penguin in woolly coat with fish-shaped buttons © OpenClipart-Vectors/Pixabay

Pile of coloured thongs © Steve Collender/Shutterstock.com

Pinecone isolated on white background © villorejo/Alamy Stock Photo

Pink calendar with a pink tick in a green circle © Memed_Nurrohmad/Pixabay

Polyethylene pipe lengths © GordonJ86/Wikimedia Commons/CC BY-SA 4.0

Portrait of a boy smiling © SD/Alamy Stock Photo

Primary school children being taught by their teacher © Chris Bull/Alamy Stock Photo

Primary school children with their teacher © roger askew/Alamy Stock Photo

Primary school maths students with hands raised to answer a question © Nick Sinclair/Alamy Stock Photo

Primary school students being taught maths © Jeff Morgan 06/Alamy Stock Photo

Primary school students with hands up to answer questions in classroom © roger askew/Alamy Stock Photo

Primary school students using digital tablets in class © DGLimages/Alamy Stock Photo

Primary school teacher marking maths homework © PA Images/Alamy Stock Photo

Primary student writing arithmetic on whiteboard © Ian Shaw/Alamy Stock Photo

Problem solving concept illustration © www.digits.co.uk/Flickr/CC BY 2.0

Professor Hugh Possingman © The State of Queensland 2018/CC BY-SA 4.0

Purple and white measuring cup © OpenClipart-Vectors/Pixabay

Pyramid and building © EdiNugraha/Pixabay

Pythagoras' theorem demonstrated on a blackboard © geralt/Pixabay

Quantum image, NIST © Wikimedia Commons

Race car-themed electronic device © Education Services Australia

Red-eared turtle © ChristianChan/Shutterstock.com

Red sand dune © denisbin/Flickr/CC BY-ND 2.0

Repeating geometric pattern in red, pink and white © vitranc/iStock.com

Ripe loquat © mahir ates/Alamy Stock Photo

Road map with a triangle highlighting an area © Monstera/Pexels

Road sign © Peter Gudella/Shutterstock.com

Two teachers in a classroom © Panther Media GmbH/Alamy Stock Photo

Two young students at a desk with teacher © Education Services Australia

University campus © Anasskoko/Wikimedia Commons/CC BY-SA 4.0

User experience design © Candice Storm/Wikimedia Commons/CC BY 4.0

UX design blueprint © pxhere

Very Large Telescope (VLT) observatory at Paranal © ESA/Wikimedia Commons/CC BY 4.0

Visualisation of 1 litre, 1 centilitre, 1 millilitre, 1 microlitre and centicubes © Cmglee/Wikimedia Commons

Visualisation of word embeddings © Siobhán Grayson/Wikimedia Commons/CC BY-SA 4.0

Warehouse © Axisadman/Wikimedia Commons/CC BY-SA 3.0

Wattle tree branch © Svetlana Zhukova/Alamy Stock Photo

Weather © Faager

Weather map of Brisbane © Tatters/Flickr/CC BY-SA 2.0

White clock with a colourful world map on the clock face © Monstera/Pexels

White sneakers with a 50% discount © Yuriy Maksymiv/Shutterstock.com

Woman and young girl playing with a ball on the beach © NataSnow/Shutterstock.com

Woman sitting at laptop reading mathematics formula © fabio lamanna/Alamy Stock Photo

Woman swimming © Keithjj/Pixabay

Women playing football © Erik Geiger/Pexels

Women's clothes in shop window © Peachyeung316/Wikimedia Commons/CC BY-SA 4.0

Women's shoes sale price © iStock.com/JaysonPhotography

Wooden fence in a green paddock with cloudy sky © aitoff/Pixabay

Wooden sudoku puzzle © Peacock Graphics/Alamy Stock Photo

Wooden twig © Danny Smythe/Alamy Stock Photo

X-ray © Nevit Dilmen/Wikimedia Commons/CC BY 3.0

Yellow ball of string © Narcis Ciocan/ Pixabay

Yellow hexagons maths manipulatives © Jeannie Burleson/Alamy Stock Photo

Yellow tent © apercoat1/Shutterstock.com

Young boy pointing as he gets an idea © CiydemImages/iStock.com

Young boy with red hair © Kinga/Shutterstock.com

Young boys working in classroom © Education Services Australia

Young child completing maths homework © Catherine Falls Commercial/Getty Images

Young girl in white t-shirt © Kleber Cordeiro/Shutterstock.com

Young girl with crossed arms © PeopleImages/iStock.com

Young boy © Arvind Balaraman/Shutterstock.com

Young girl wearing a hijab © Alex Liew/iStock.com

Young student counts on her fingers © SDI Productions/Getty Images

Young student looking and thinking © Elena Gurova/Alamy Stock Photo