Mathematics / Year 1 / Number and Algebra / Patterns and algebra

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

Investigate and describe number patterns formed by skip-counting and patterns with objects (ACMNA018)

Elaborations
  • using place-value patterns beyond the teens to generalise the number sequence and predict the next number
  • investigating patterns in the number system, such as the occurrence of a particular digit in the numbers to 100
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Patterns,  Skip counting

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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 ...

Tablet friendly (Interactive resource)

Monster choir: making patterns

Help monsters in a choir to make animal sounds in order. Make a sequence of up to four sounds. Choose monsters so that their sounds match the sequence. Repeat the pattern to make a song.

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.

Interactive resource

Monster choir: missing monsters

Help monsters in a choir to make animal sounds in order. Look at a sequence of two or three shapes: squares, circles and triangles. Choose monsters so that their sounds match the shape pattern. Complete the song by identifying monster sounds missing from the pattern. This learning object is one in a series of three objects.

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 ...

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 ...

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. ...

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

Tessellate decorate: squares

Decorate a room in a house with patterns made of squares. Choose a part of the room to decorate. Select a tessellation of squares to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the squares in the play space. This learning ...

Interactive resource

Tessellate decorate: rectangles

Decorate a room in a house with patterns made of rectangles. Choose a part of the room to decorate. Select a tessellation of rectangles to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the rectangles in the play space. This ...

Interactive resource

Tessellate decorate: hexagons and triangles

Decorate a room in a house with patterns made of hexagons and triangles. Choose a part of the room to decorate. Choose a tessellation of hexagons and triangles to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the hexagons and ...

Interactive resource

Tessellate decorate: three shapes

Decorate a room in a house with patterns made of rhombuses, squares and equilateral triangles. Choose a part of the room to decorate. Select tessellations of rhombuses and equilateral triangles, or rhombuses, squares and equilateral triangles to make. Copy the pattern and see it cover part of the room. Finish decorating ...

Interactive resource

Tessellate decorate: trapeziums

Decorate a room in a house with patterns made of trapeziums. Choose a part of the room to decorate. Select a tessellation of trapeziums to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the trapeziums in the play space. This ...

Interactive resource

Tessellate decorate: rhombuses

Decorate a room in a house with patterns made of rhombuses. Choose a part of the room to decorate. Select a tessellation of rhombuses to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the rhombuses in the play space. This learning ...

Interactive resource

Tessellate decorate: equilateral triangles

Decorate a room in a house with patterns made of equilateral triangles. Choose a part of the room to decorate. Choose a tessellation of equilateral triangles to make. Copy the pattern and see it cover part of the room. Finish decorating the room with two more tessellations. Create your own designs with the equilateral triangles ...

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 ...

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 ...

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 ...