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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

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, ...

Online

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

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

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 ...

Video

How many combinations can you get?

How many combinations can you get from 6 shirts and 4 pairs of pants? Determine the number of different outfits using the concept of possibilities (possible outcomes) and combinations.

Video

Volcanic eruptions at Mount Ruapehu

Imagine a volcano erupting kilometres away. You are afraid, worried for the safety of yourself and others. Paul Willis presents the work of New Zealand volcanologists conducting research at Mount Ruapehu, a volcano with a history of devastating lahar (water, sediment and rocks) flows. Learn more about lahar flows and the ...

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 ...

Video

Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

Interactive

Cake time: Peg + cat

Peg and Cat use a pattern to decorate a cake. See what type of pattern they use.

Video

Odd and even numbers

Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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

Wild ride: get a grip

Investigate the role of friction in performance of bicycle tyres. Test how the type of tread affects grip and speed. Choose tyres best suited to track and weather conditions in a time trial. This learning object is one in a series of four objects.

Interactive

It's a drag

Investigate the braking efficiency of cars and trucks. Test stopping distances under controlled conditions. Compare effects of vehicle type, tyres, road surface and weather conditions. Choose driving speed, then apply brakes and compare stopping distances. Answer questions about friction, tyres and driver fatigue. This ...

Online

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 ...

Online

Primary science: scientific inquiry

These seven learning activities, which focus on 'scientific inquiry' 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 facilitate the procedures ...

Interactive

Whole numbers level 5: four-digit numbers

This set of online activities focuses on the development and consolidation of number concepts to four digits and beyond. This is the fifth of seven levels in a series focusing on whole numbers to six digits. This level develops ideas about place value, rounding and number notation. Each level includes interactive drills ...

Online

Number trains: patterns: assessment: teacher guide

Use this resource with 'Number trains: patterns: assessment' (L8275). 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 and counting skills as demonstrated in the pathways presented to the student in the ...

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. ...

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.

Text

Science principles in traditional Aboriginal Australia

This is an illustrated article about how Aboriginal people's traditional knowledge demonstrates an understanding of physics, biology and chemistry and how Aboriginal people gather knowledge through observation, testing, trial and error, adapting and retesting. Written by Kudjala/Kalkadoon Elder from Queensland Letitia ...