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

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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 ...

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.

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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Pass The Count - Calculate

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

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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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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.

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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: Counting Large Collections

This lesson engages students in investigating how to count a large number of objects. Students are encouraged to think of efficient counting strategies and effective ways to keep track of their count. They explore unitising, leading to an opportunity to explore the patterns formed and build an understanding of place value. ...

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reSolve: Authentic Problems: What's For Lunch?

This sequence of four lessons invites students to investigate how many of a chosen food item are eaten at their school in a year. Students identify the mathematical knowledge they need to find how many of the selected items they eat in a year and devise a plan to find the total number, using grouping, partitioning and repeated ...

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reSolve: Authentic Problems: Bunches of Balloons

This sequence of three lessons introduces division and multiplication through the context of decorating a room with clusters of balloons. Students carry out an inquiry using a variety of processes associated with multiplication and division such as grouping concrete objects, arrays, repeated addition and skip counting. ...

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reSolve: Multiplication - reSolve Fruit Shop

This sequence of two lessons explores the use of arrays to determine how many objects are in a collection. Students use strategies such as skip counting, repeated addition and partitioning the array into smaller parts. They investigate how some numbers can be represented as an array in different ways. They also explore ...

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reSolve: Multiplication: Making Robots

This sequence of lessons introduces the key idea of multiplication as a Cartesian product, using the language of 'for each'. Students explore the total number of different robots that can be made using three heads, three bodies and three feet. The students represent the different combinations for the robots as array. The ...

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?

Video

Nine times table

Learning the times tables can be hard! Watch this neat trick to learn the nine times table using just your fingers. See if you can solve 9 times 6 using this trick.