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

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.

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. ...

Interactive

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

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

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 ...

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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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Smaller numbers can be found hiding in bigger numbers: K–2 Year B – Unit 4

This two-week unit develops student knowledge, understanding and skills of place value and how smaller numbers can be found hiding in bigger numbers.

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Collections of objects can be changed by adding more (combining) or taking some away (separating): K–2 Year B – Unit 9

This unit develops understanding and skills of forming groups and combining and separating.

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Problems can be solved and represented in different ways: K–2 Year B – Unit 20

This two-week unit develops student knowledge, understanding and skills to solve mathematical problems using critical and strategic thinking.

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Making and using equal groups: K–2 Year B – Unit 13

This sample multi-age unit develops student knowledge, understanding and skills of making and using equal groups. Students are provided opportunities to: recognise, model and use equal and unequal groups; share collections by forming equal groups; use arrangements to distinguish between the number of groups and the number ...

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Patterns have something that repeats over and over and over again: K–2 Year B – Unit 12

This sample multi-age unit develops student knowledge, skills and understanding about repeating patterns, arrays and different ways to present and communicate about data.

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A fraction (like one half) can mean half of a measure or half of a collection: K–2 Year B – Unit 15

This two-week unit develops student knowledge and skills in understanding that a fraction can mean half a collection or half a measure. Students are provided opportunities to engage in meaningful activities using repeated halving to explore halves, quarters or eighths; create and explore collections of objects that have ...

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There are many different situations where addition, subtraction, multiplication and division can be used: K–2 Year B – Unit 16

This two-week unit develops student knowledge and skills in understanding different situations where addition, subtraction, multiplication and division can be used. Students are provided opportunities to investigate the four operations through problem solving; explore the relationship between different operations and inverse ...

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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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Whisper Whisper Loud - Calculate

This game explores number sequences and practises skip counting.

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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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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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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.

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.