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Listed under:  Mathematics  >  Number (Mathematics)  >  Numeral systems  >  Place value
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Partitioning: One is a snail, ten is a crab - Calculate

This activity provides students with an opportunity to partition numbers in different ways. Partitioning is an important concept as it allows numbers to be broken up so that they’re easier to use.

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Today's Number - Calculate

This is an open task as it can cater for the needs of many students and can be used over and over to build confidence in representing numbers in different ways. In this activity students have an opportunity to engage with a variety of number ranges and are able to demonstrate their understandings of those numbers in many ways.

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Converting Decimals Year 6 - Calculate

This task introduces students to a practical situation that involves multiplying and dividing decimals by powers of 10. We want students to focus to use what they know about the measurement in order to explain how to convert them, rather than simply applying a procedure.

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100 Face (Cuisenaire Rods) - Calculate

This engaging game encourages students to arrange the Cuisenaire rods to create a face that equals 100.

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'Mission to Mars' - An AMSI Schools 'Rich Task' in Number & Place Value - Calculate

This task aims provide a rich, contextual activity through which students can gain an understanding of the distances relevant to the size of our solar system, and how an understanding of place value, metric measurement systems and time measurement can be used to represent these large distances and convert calculations ...

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Measuring sticks: Decimals

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.

Online

Place Value: Lolly Shop

This sequence of 6 tasks explores the mathematical idea of '10 of these is equal to one of those'. Students explore through the context of a Lolly Shop as Ms Fizz counts and packs the lollies that she sells. They work with their own lollies and explore different ways that they might pack them to make it easy to count. The ...

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Work sample Year 5 Mathematics: Who were the fastest swimmers?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 5 Mathematics: Locating decimals

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 2 Mathematics: Trick or treat

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 2 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Online

Place Value: reSolve Garden

This sequence of 5 tasks explores the idea that 10 ones are equal to a unit of 1 ten. Students explore through the context of a garden as Mr Sprout the gardener packs and plants his seeds. Students have multiple experiences of stacking, of grouping, and of bundling as they make sense of this idea. Professional learning ...

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Race to... - Calculate

This game challenges students to use their knowledge of place value to add and subtract random numbers in order to meet a target value.

Downloadable

AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

This sequence of 15 lessons will teach students various calculation strategies.

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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?

Online

reSolve: Algebra: Tens and Units

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

Video

Decimals and fractions

This is a video demonstration of converting decimal fractions to simplified fractions. In the commentary, the presenter highlights the relevance of understanding and applying place value concepts, including the efficiency in initially interpreting the fractional part of the decimal fraction as a single fraction. Practice ...

Online

reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

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: Addition: Chess - The Rook

This lesson engages students in investigating place value and the addition and subtraction of numbers by exploring computation on the number chart. Students analyse the moves of a rook chess piece and how the value of the numbers change as he moves. This builds into an exploration of how the number chart can be used as ...

Video

Numbers Count: Importance of zero

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