Mathematics / Year 2 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026)

  • developing fluency and confidence with numbers and calculations by saying number sequences
  • recognising patterns in number sequences, such as adding 10 always results in the same final digit
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Skip counting,  Arithmetic sequences

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Year level F-2
Resource type
Learning area Mathematics
Tablet friendly (Interactive resource)

Number trains

Arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as words, numerals, dice dots or counting frames. Identify the numbers that come before and after starting numbers. Begin with numbers up to ten. Move on to work with larger numbers such as 40 and 50. Practise ...

Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Tablet friendly (Interactive resource)

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Interactive resource

Number trains: skip counting

Arrange train carriages according to numbers on their sides. Identify the numbers that come before and after starting numbers. Work with numbers in the range 1–120. Practise 'skip counting' by twos, fives and tens. For example, 'skip count' by five to arrange four carriages into the order 12, 17, 22, 27. This learning object ...

Assessment resource

Number trains: patterns: assessment

Test your understanding of numbers and order them to create patterns. Arrange train carriages according to numbers on their sides to form patterns. For example, count in fives to arrange four carriages into the sequence 12, 17, 22, 27. Identify the numbers that come before and after starting numbers. Work with numbers in ...

Teacher resource

Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

Tablet friendly (Interactive resource)

Musical number patterns: musical times

Make some music by building up rhythms from four instruments. Make a counting rule that matches a pattern on a number line. Select the start number and then select a number to count by. For example, describe a sound pattern where a saxophone waits on the first note, and then plays on every eighth note. Add a second number ...

Teacher resource

MoneySmart: Kieren's coin

This is a year 2 mathematics unit of work about money. The unit is intended to take about 10 hours of teaching and learning time. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include responding to a story about a rare foreign coin, interacting ...

Teacher resource

reSolve: Place Value Cards

This sequence of two lessons explores the multiplicative place value properties of numbers. Students learn to represent numbers up to 1000 as multiples of 100s, 10s and 1s. Students skip count according to random arrangements of place value cards and explore whether the order of the cards affects the totals. They then use ...

Moving Image


This is a colourful animation, with audio commentary, about simple number patterns or sequences. The animation presents a definition of a number pattern and two examples. The first example involves an even number sequence increasing by twos, and the second example is an odd number sequence decreasing by twos. The number ...

Teacher resource

Number trains: counting on: assessment: teacher guide

Use this resource with 'Number trains: counting on: assessment' (L8276). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to counting forwards and backwards from a given number. Included are information ...

Teacher resource

Exploring number sequences - teacher resource

This resource is a professional learning package designed for pre-service teachers. It demonstrates and investigates the interrelated content, pedagogy and technology knowledge used in a series of mathematics lessons that focus on exploring number sequences and skip counting. The resource provides video footage of a teacher ...

Interactive Resource

Number line, by the Math Learning Centre - iTunes app

Use a virtual number line to visualise number sequences and to represent and solve addition, subtraction, multiplication and division problems. Free when reviewed on 12/5/2015.

Moving Image

Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

Teacher resource

Explicit number fluency

Here the classroom teacher demonstrates the use of information and communication technology to develop students’ knowledge of number sequence and skills in counting from any starting point. The teacher invites individual students to use the interactive whiteboard to set the starter counter from which students will count ...

Interactive resource

Musical number patterns: musical counter

Make some music by building up rhythms from four instruments. Follow a counting rule that gives a starting point on a number line and the number of beats to skip. Add a whole number several times on the number line to make a pattern. For example, set up a sound pattern where a drum waits on the first note, and then plays ...


Exploring addition and subtraction

This collection contains 12 digital curriculum resources from the 'Counting beetles' and 'Number trains' series. The collection includes two categories of counting strategies: counting on and back, to give students practice in counting on or back from any number up to 120; and counting using number representations. A third ...

Teacher resource

Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Teacher resource


This resource is a group activity that teaches problem-solving and prediction-making skills. Using Adobe Photoshop Elements, the resource contains an 8-step lesson plan for producing visual patterns according to a unique set of rules. Groups then swap patterns, and are required to identify the new rules and predict the ...

Teacher resource

Starting Smart: what's next in the pattern? - early years

This curriculum resource package contains a ten-week early years teaching plan and set of resources developed to extend early years students' knowledge and understanding of patterning. The package includes seven detailed lesson plans to establish students' current knowledge and learning needs. Beginning with establishing ...

Teacher resource

TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

Teacher resource

reSolve: Authentic Problems: What's For Lunch?

This sequence of four lessons invites students to investigate how many of a chosen food item are eaten at their school in a year. Students identify the mathematical knowledge they need to find how many of the selected items they eat in a year and devise a plan to find the total number, using grouping, partitioning and repeated ...

Teacher resource

reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

Teacher resource

reSolve: Multiplication: Making Robots

This sequence of lessons introduces the key idea of multiplication as a Cartesian product, using the language of 'for each'. Students explore the total number of different robots that can be made using three heads, three bodies and three feet. The students represent the different combinations for the robots as array. The ...

Interactive resource

Number trains: numbers 30–50

Arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as words, numerals, base-10 blocks or counting frames. Identify the numbers that come before and after starting numbers. Work with numbers in the range 30–50. This learning object is the third in a series ...