Mathematics / Foundation / Number and Algebra / Number and place value

Curriculum content descriptions

Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (ACMNA002)

Elaborations
  • understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the ‘how many’ question
  • using scenarios to help students recognise that other cultures count in a variety of ways, such as the Wotjoballum number systems
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Counting,  Positive integers,  Zero

Video

Numbers Count: Importance of zero

How important is zero in place value? How would you write '50' if there was no zero?

Video

Count Us In, Ep 6: Cool ways to count 6 to 10

Dodly and Flynn meet while Flynn is building a model volcano. They count snails and toy dinosaurs and show different ways to represent each of the numbers from six to ten through writing, drawing or sharing between two groups. The Super Seven and others also help out.

Video

Count Us In, Ep 11: We can help you keep count!

Dodly is trying to keep count of the number of sheep in the backyard. Flynn helps Dodly to keep count by representing the numbers in different ways. They use models, drawings, strokes and numerals to keep count. Also discover the ways different cultures have recorded numbers.

Video

Count Us In, Ep 3: Counting forwards and backwards up to 10

Count with Dodly and Flynn as they count their clay monsters and their toy dinosaur collection. Count a range of animals including kangaroos, butterflies and whales. Even count backwards as they launch a rocket into space.

Video

Count Us In, Ep 1: Comparing and classifying

Explore numbers with Flynn and Dodly as they compare their marble collection, dinosaur toys and the noses on Dodly's pictures. Who has more? Who has less? Who has the same? These are questions often asked during an ordinary day. Help Flynn work out how many dinosaurs Dodly has in his bag. Use the clues that Dodly gives Flynn.

Video

Count Us In, Ep 5: Cool ways to count 1 to 5

Watch Dodly and Flynn at the monster fair investigating ways of representing the numbers from one to five. Two is a double, such as in a double scoop of ice-cream. Tally marks and 'tri' are used as representations of three, while four monster apples are shown as 3 and 1 or 2 and 2.

Online

Collections - comparing and ordering

This is a web resource that includes student activities and games focusing on collections to 20, accompanied by a teacher guide. Activities cover comparing collections using one-to-one correspondence, ordinal numbers with associated positional words and a game based on the traditional Japanese game of ohajiki. The resource ...

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The Mathscots: Foundation Level Teaching Guide

This teaching guide provides a range of activities for each of the Mathscots episodes at Foundation Level. The guide contains a summary of the mathematical focus in each episode, a range of scaffolded learning experiences for before, during and after viewing each video, activities for families at home, and sets of printable ...

Video

The Mathscots: Puppy School Obstacle Course

In this animated video, Poly the puppy makes her way through an obstacle course which features 2D shapes and 3D objects. The mathematical focus is on sorting and describing squares, circles, triangles, rectangles, spheres and cubes; recognising 2D shapes within 3D objects; understanding and using terms such as ‘first’ ...

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Number Walk Rich Task - Calculate

This downloadable lesson resource introduces the concept of ‘Number Walks’: taking a stroll with the class or group around the school or the local neighbourhood. Guided by the teacher, students note down anything they see that relates back to their understanding of the topic and then conduct a plenary session back in the ...

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Addition Foundation - Calculate

The focus of this activity is to discover if students can represent numbers, without the need to count from 1. If students ‘trust the count’ from here they will be able to use strategies to combine collections. If students do not ‘trust the count’ they may be able to combine two collections by counting by ones, but this ...

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How Many? - Calculate

The focus of this activity is for students to count a variety of objects in their home environment and write the number for each.

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Mind Mapping Numbers - Calculate

This activity provides a way for children to show and tell what they know about numbers. It can be modified for different age groups and used every day with a different number.

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Work sample Foundation Year Mathematics: Knowing numbers

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Foundation Year Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Online

Number: Taking handfuls

This sequence of 6 tasks explores relationships between numbers 1 to 20 through subitising, comparison, and using 5 and 10 as benchmarks. Students organise collections and use subitisable patterns to help count the total in their collection. Students also compare their collection with a friend to see who has more and who ...

Downloadable

First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

Downloadable

Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

Downloadable

Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

Downloadable

First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

Online

Number sequence: Foundation – planning tool

This planning resource for Foundation is for the topic of Number sequence. Students establish foundational ideas and skills in number. There is a focus on subitising – instantly recognising and naming the number of objects in small collections of up to 5 (without counting).