Mathematics / Year 1 / Algebra

Curriculum content descriptions

recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens (AC9M1A01)

Elaborations
  • using number charts, songs, rhymes and stories to establish skip counting sequences of twos, fives and tens
  • using shapes and objects to represent a growing pattern formed by skip counting; for example, using blocks or beads to represent the growing patterns \(2, 4, 6, 8, 10\) … and \(5, 10, 15, 20\) …
  • recognising the patterns in sequences formed by skip counting; for example, that skip counting in fives starting from zero always results in either a \(5\) or zero as the final digit
  • counting by twos, fives, or tens to determine how much money is in a collection of coins or notes of the same denomination; for example, \(5\) cent, \(10\) cent and \(\$2\) coins, or \(\$5\) and \(\$10\) notes
  • role-playing being an industrial robot on an assembly line that packs various items into boxes or packets in groups of five or ten, keeping count of the total number of items produced
  • using different variations of the popular Korean counting game Sam-yuk-gu for generating skip counting pattern sequences

General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Skip counting,  Subitising,  Patterns

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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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Pattern & Algebra Year 1 - Calculate

The focus of this activity is to discover if students can use their knowledge of repeating patterns created with objects and extend this to number patterns. It is important to remember to ask students to continue patterns to the right and left. This is important as students need to be able to count forwards and backwards.

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See & Say - Calculate

This class warm-up game focuses on practising addition and subtraction strategies and developing algebraic thinking by using a rule applied to a list of numbers.

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Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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Mind Mapping Numbers - Calculate

This activity provides a way for children to show and tell what they know about numbers. It can be modified for different age groups and used every day with a different number.

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.

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.

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Whisper Whisper Loud - Calculate

This game explores number sequences and practises skip counting.

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Patterns Year 2 - Calculate

The focus of this activity is on patterns and algorithmic thinking. The lesson aims to encourage students to explore problems with limited assistance from the teacher. Although the teacher asks questions and can prompt learning, the students will investigate the problem using their own strategies.

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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 ...

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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

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

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

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 ...

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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 ...

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?

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Numbers Count: Importance of zero

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

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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?

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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.

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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.