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Mathematics / Year 2 / Number and Algebra / Patterns and algebra

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

Describe patterns with numbers and identify missing elements (ACMNA035)

Elaborations
  • describing a pattern created by skip counting and representing the pattern on a number line
  • investigating features of number patterns resulting from adding twos, fives or 10s
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Number patterns

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

Musical number patterns: music maker

Make some music by building up rhythms for four instruments. Choose a starting point on a number line and build a counting rule. Count in lots between 2 and 10 until you reach 36. Add your number several times on the number line to make a pattern. For example, set up a sound pattern where a trumpet waits on the first note, ...

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 ...

Interactive Resource

Sites2See: Patterns and Algebra

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

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 ...

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 ...

Collection

Patterns and sequences

This collection of 12 interactive learning objects is organised into three categories - patterns of colour or shape; patterns by number counting; and patterns and rules. Numeric, visual and auditory elements are used to create, extend, replicate and complete patterns. An understanding that patterns are predictable is developed. ...

Teacher resource

Top drawer teachers: patterns

This is a web page that comprehensively covers the teaching of finding, explaining and linking patterns through links to six sections. The first section covers the ‘Big ideas’ behind patterns, while the second section uses research findings to identify some common stumbling blocks when learning about patterns. The third ...

Teacher resource

reSolve: Algebra - Equivalence

This sequence of two lessons builds students' understanding of equivalence as balance. The equals sign is used to indicate the same value on both sides of an equation. Students develop their understanding of equivalence by looking at balancing scales with blocks of different weights. Each lesson is outlined in detail including ...

Assessment resource

Scale matters: whole numbers: assessment

Test what you know about placing numbers on a number line. See two numbers on a line. Choose the best ruler to add markers to the number line and find the place for a third number. Rename the third number in two different ways by selecting the correct place values. For example, look at the numbers 35 and 47 on a number ...

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

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 ...

Interactive resource

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

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. ...

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 ...

Collection

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 ...

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

Mental computation: basic facts - multiplication and division

This is a teacher resource that is part of a wider series; it develops a structured strategies-based approach to mental computation of single-digit multiplication and related division facts at lower primary level. It provides 22 engaging classroom activities that will stimulate students to use appropriate mental-computation ...

Assessment resource

Musical number patterns: counting rules: assessment

Test your understanding of counting rules by building up rhythms for four musical instruments. Make counting patterns by following the given rules, or use the musical patterns to work out what the counting rules are. Then, make your own music by creating rules to make the counting patterns. View and print a report of your ...

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

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...