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Listed under:  Mathematics  >  Number (Mathematics)  >  Numeral systems  >  Place value
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: 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

Subtracting decimals

This is a video demonstration, with audio commentary, of the procedure for pen-and-paper subtraction of decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to subtraction of decimal fractions involving tenths and hundredths, ...

Interactive

Rounding decimals

This is a six-page HTML resource about solving problems concerning rounding. It contains one video and eight questions, four of which are interactive. The resource discusses and explains solving problems with rounding of decimals to reinforce students' understanding.

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 ...

Interactive

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

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. ...

Online

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

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.

Interactive

Summing Decimals

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

Online

Decimals

This is a website designed for teachers and students in year 5, and addresses components of the working with decimals topic. It is particularly relevant for comparison, addition, subtraction, multiplication and division with decimals. There are pages for both teachers and students. The student pages contain interactive ...

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

Ordering Decimals

An animated tutorial about ordering numbers with up to 3 decimal places. An interactive quiz is included.

Video

Multiplying and dividing decimals

Learn how to multiply and divide decimals by 100. Based on this video, see if you can work out how to multiply and divide decimals by 10 and 1000. What do you get if you multiply 0.375 by 10?

Online

Place value: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Place value. Students represent natural numbers in expanded notation using place value and powers of 10. Students learn the connection between exponent notation and its expanded form. By understanding how powers of ten are sequenced, students make connections with scale ...

Downloadable

Act it out

Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.

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 ...

Downloadable

Spending the lotto millions!

Students apply standard and non-standard place value partitioning to seven-digit numbers.

Online

Fruit fractions: Growing with fruit

Explore fractions through plant growth in this engaging lesson. Students will measure and represent plant growth using fractions, gaining a clear understanding of numerators and denominators. This interactive lesson encourages creative exploration of equivalent fractions while fostering a deeper connection with the concept ...

Interactive

Piñata Party Tens (2-digit place value)

As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...