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Listed under:  Mathematics  >  Number (Mathematics)  >  Real numbers
Teacher resource

TIMES Module 28: Number and Algebra: the real numbers - teacher guide

This is a 31-page guide for teachers. It brings together many ideas concerning real numbers. Integers, rational numbers and irrational numbers are discussed.

Interactive resource

Integer cruncher: addition

Use counters to model the addition of integers, for example (-2)+(+5)=(+3). See the calculations represented in an alternate form on a number line. This learning object is one in a series of four objects.

Interactive resource

Integer cruncher: addition and subtraction

Use counters to model the addition and subtraction of integers. For example, (-2)+(+5)=(+3) or (-2)–(-5)=(+3). See the calculations represented in an alternate form on a number line. This learning object is one in a series of four objects.

Teacher resource

TIMES Module 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

Teacher resource

Investigating irrational numbers including pi

This is a website designed for both teachers and students that refers to irrational numbers including pi from the Australian Curriculum for year 8 students. It contains material on the real number system and explains how irrational numbers were introduced historically to this system. Information on constructing rational ...

Moving Image

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.

Moving Image

Comparing and classifying

Explore numbers with Flynn and Dodly as they compare their marble collection, dinosaur toys and the noses on Dodly's pictures. Who has more? Who has less? Who has the same? These are questions often asked during an ordinary day. Help Flynn work out how many dinosaurs Dodly has in his bag. Use the clues that Dodly gives Flynn.

Moving Image

Counting forwards and backwards up to 10

Count with Dodly and Flynn as they count their clay monsters and their toy dinosaur collection. Count a range of animals including kangaroos, butterflies and whales. Even count backwards as they launch a rocket into space.

Moving Image

Representing numbers 6-10

Dodly and Flynn meet while Flynn is building a model volcano. They count snails and toy dinosaurs and show different ways to represent each of the numbers from six to ten through writing, drawing or sharing between two groups. The Super Seven and others also help out.

Moving Image

Mystery man Pythagoras meets his match

What do you know about Pythagoras? Join Vi Hart as she not only explains his theorem but raises some legends about his dark past! Follow Vi's timeline of famous mathematicians to find out in which century Pythagoras lived. See how Vi shows a proof of his theorem and raises what was a big dilemma for Pythagoras: the irrational ...

Teacher resource

Counting and representing numbers 1–20

Explore counting familiar objects and representing numbers up to 20. Name, match, subitise, compare and order numbers to 20, then use these numbers in addition and subtraction. Relate number sentences to these operations in meaningful ways.

Teacher resource

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

Interactive resource

The take-away bar: generate hard subtractions

Solve subtractions such as 87-29. Use a linear partitioning tool to help solve randomly generated subtractions. Learn strategies to do complex arithmetic in your head. Split a subtraction into parts that are easy to work with, work out each part and then solve the original calculation. This learning object is one in a series ...

Interactive resource

The take-away bar: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving subtractions in your head such as 87-39. Work through sample questions and instructions explaining how to use linear partitioning techniques. Solve subtractions by breaking them up into parts that are easy to work with, work out each ...

Interactive resource

The number partner

Explore how to break up numbers into pairs of smaller numbers such as 15 = 9 + 6. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions. Use a partitioning tool to break up numbers under 30. Recognise number patterns; use the strategy of counting on.

Interactive resource

The number partner: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for breaking up numbers into pairs of smaller numbers, eg 15 = 11 + 4. Work through examples of whole number pairs and sample questions. Apply these principles to solve additions or subtractions.

Tablet friendly (Interactive resource)

Musical number patterns: odds and evens

Make some music by building up rhythms for chimes. Complete a counting rule that matches a pattern on a number line. Select the start number or select a number to count by. For example, start at 1 on a number line; then choose which number to count by (4, 5 or 6) to alternate between odd and even numbers. Add a second number ...

Interactive resource

Number trains: 1–10 [Italian]

Use your knowledge of Italian numbers one to ten to arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as Italian number words, numerals, dice dots or counting frames. Identify the numbers that come before and after starting numbers. This learning object is ...

Interactive resource

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 resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...