Mathematics / Year 2 / Number and Algebra / Number and place value

Curriculum content descriptions

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026)

Elaborations
  • developing fluency and confidence with numbers and calculations by saying number sequences
  • recognising patterns in number sequences, such as adding 10 always results in the same final digit
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Skip counting,  Arithmetic sequences

Online

reSolve: Place Value Cards

This sequence of two lessons explores the multiplicative place value properties of numbers. Students learn to represent numbers up to 1000 as multiples of 100s, 10s and 1s. Students skip count according to random arrangements of place value cards and explore whether the order of the cards affects the totals. They then use ...

Interactive

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 ...

Online

MoneySmart: Kieren's coin

This is a year 2 mathematics unit of work about money. The unit is intended to take about 10 hours of teaching and learning time. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include responding to a story about a rare foreign coin, interacting ...

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 ...

Downloadable

The animals went in two by two

Students recall the twos number sequence and use skip counting by twos to count a collection.

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.

Online

Number sequence: Year 1 – planning tool

This planning resource for Year 1 is for the topic of Number sequence. Students work towards being able to recognise, represent and order numbers up to 120. They use partitioning and various counting processes to make sense of and represent numbers in different ways.

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

The teen game

Students use standard place-value partitioning to represent 'teen' numbers.

Video

MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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

Skip-counting with Bee-bots

Play a skip counting game where students program the Bee-Bot to stop at multiples of a set number, eg 2, 4, 5, 10 on a number grid.

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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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Next Ten - Calculate

This activity challenges students to continue a number sequence from any starting point. Using counters or other physical materials to create the number sequence prior to recording may help students, as they will be able to see what the number pattern looks like.

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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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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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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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Visualising data for a game of Kolap: Part 2

In this second of two lessons, students create a visual representation of the data collected and recorded while playing a First Nations Australian children’s instructive game of throwing skill called Kolap.

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Recording data in a game of Kolap: Part 1

In this first of two lessons, students investigate and play a First Nations Australian children’s instructive game of throwing skill called Kolap. They collect and represent data, and discuss their findings.