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

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting (ACMNA028)

Elaborations
  • using an abacus to model and represent numbers
  • understanding three-digit numbers as comprised of hundreds, tens and ones/units
  • demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Counting,  Associativity

Online

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 ...

Online

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. ...

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

Wishball challenge: tens

Challenge your understanding of place value in whole numbers up to 99. Receive a starting number, such as 86, and work towards turning it into a target number, such as 18, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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

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 ...

Interactive

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive

Wishball challenge: hundreds

Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

Interactive

Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

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

Wishball challenge: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

Video

Importance of zero

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

Video

Recording numbers

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.

Video

Representing numbers 1 to 5

Watch Dodly and Flynn at the monster fair investigating ways of representing the numbers from one to five. Two is a double, such as in a double scoop of ice-cream. Tally marks and 'tri' are used as representations of three, while four monster apples are shown as 3 and 1 or 2 and 2.

Video

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.

Video

How to communicate numbers with Roman numerals

Explore an alternative way to communicate numbers using the anchor numbers 5 and 10 and the ancient Roman counting system based on letters. Roman numerals were used throughout Europe well into the middle ages and still appear in the names of monarchs, the production year of films, on buildings and on timepieces.

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Count along with an eight-step magic trick

Watch a magician perform a magic trick with eight steps. Count each step. Find out what happens in the last step, step eight. Something is supposed to vanish. Do you think it will? Find out.

Video

Counting pirate treasure

Watch as a stingy pirate captain counts out wages in 'pieces of eight' (gold coins) for one of his crew. Watch as the pirate captain takes away pieces of eight for what he calls 'deductions'. See how much gold the crew member walks away with!