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

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

Interactive

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, ...

Interactive

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

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.

Downloadable

Pattern pursuit

Students identify, describe and create repeating patterns.

Downloadable

Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

Online

Repeating and growing patterns: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Repeating and growing patterns. Students begin to appreciate patterns that occur around them. They learn to recognise, copy and continue different repeating patterns and observe natural patterns in the world around them.

Downloadable

Understanding Australian coins

This lesson is about Australian coins, their features, and their value. During the lesson, students explore what Australian coins look like, their value and their purpose. They identify and describe the features and value of Australian coins and make simple calculations using coins.

Image

Chinese abacus, c1900

This is a rectangular wooden abacus (15.5 cm x 29 cm x 2.5 cm), made in about 1900. It has two decks (divided horizontally by the beam) of 13 rods inserted vertically in the frame. On the bottom deck there are five wooden beads on each rod and on the top deck there are two beads on each rod. The abacus has a removable wooden ...

Online

reSolve: Authentic Problems: Grandma's Soup

This sequence of four lessons focuses on counting large collections of objects and developing efficient counting strategies. Students explore the ambiguous nature of a 'handful' and investigate how different sized hands and different grabbing techniques will result in different quantities of macaroni. Each lesson is outlined ...

Online

reSolve: Addition: Partitioning

This sequence of two lessons explores early algebraic thinking around the concept of equivalence. Students develop equivalence understanding by partitioning numbers into two parts. They explore the commutative property and compensation as they are challenged to find all possible combinations. Each lesson is outlined in ...

Online

reSolve: Skip Counting: How Many Birds?

This lesson explores counting large groups and building skip counting strategies. Students use their own strategies to work out how many birds are in a picture. They are then encouraged to consider efficient counting strategies and to recount the collection by grouping birds and using skip counting strategies. The lesson ...

Interactive

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

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 ...

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

Numbers Count: Importance of zero

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

Video

Play School: Buttons and shapes

Have you ever looked at the buttons on your clothes? What shapes are they? You will find that most buttons are circles, but sometimes they can come in really different and interesting shapes, sizes and colours! What are some of the button shapes and colours mentioned in this video?

Video

BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

Online

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, ...

Online

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.

Online

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. ...