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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Indices
Interactive resource

Exploring the laws of exponents

Examine the group of seven laws of exponents such as the product law and quotient law. Adjust variables and explore patterns in the number operations. Identify the order of operations for equations involving exponents. Solve a group of expressions to uncover dinosaur bones at a dig site. Apply all of the laws of exponents ...

Interactive resource

Exploring square roots

Build a square on a grid to cover a given number of units. Notice that each side of the square equals the square root of the area. Calculate the area of each square and work out the square root. For example, calculate the length of each side needed for a square to cover 81 units. Calculate the area of squares bordering ...

Interactive resource

Exploring exponents and scientific notation

Examine a group of eight numbers expressed using scientific notation. Sort them into positive and negative numbers. Group them according to whether they are greater or less than -1, 0 and 1. Arrange the numbers within each group in ascending order.

Teacher resource

TIMES Module 31: Number and Algebra: indices and logarithms - teacher guide

This is a 26-page guide for teachers. It extends the study of indices to rational indices and introduces logarithms.

Teacher resource

Indices

This is a website designed for both teachers and students that addresses indices from the Australian Curriculum for year 8 students. It contains material on using index notation. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

Teacher resource

Square roots and square numbers

This is a website designed for both teachers and students that deals with square roots of square numbers from the Australian Curriculum for year 7 students. It contains material on products of squares and square roots, prime factorisation and square roots of non-perfect squares. There are pages for both teachers and students. ...

Moving Image

Graham's number

If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

Audio

The beauty of prime numbers

A prime number is a number that only has two factors: one and itself. Listen to Adam Spencer and Richard Glover discussing prime numbers. They cover how we define these numbers and how and why prime numbers are widely used in internet encryption.

Moving Image

Small scale measurements

What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.

Teacher resource

reSolve: Real numbers - Sum of squares

This lesson explores Diophantus' hypothesis that all natural numbers can be expressed as the sum of no more than four square numbers. Students are invited to work in small groups to express natural numbers up to 120 as a sum of squares and share this on a whole-class grid. The resource develops students' fluency in identifying ...

Video

Using exponents in real-life contexts

This animated presentation provides four examples of the use of exponential functions to model real-life practical situations. The examples highlight the manipulation of indices (exponents) and the index laws.

Teacher resource

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' 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 the three content strands ...

Tablet friendly (Interactive resource)

Circus towers: square stacks

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

Interactive resource

Circus towers: square pyramids

Work out how many acrobats are needed to form pyramid-shaped human towers. Start by building a square pyramid with five acrobats: four acrobats in the base layer and one acrobat standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to ...

Interactive resource

Exploring powers of 10

Examine a table of numbers expressed using base 10 exponents. Look at their equivalents expressed in other numeric formats such as expanded values and fractional exponents. Arrange the numbers within each group in descending order of magnitude. Use a scalable viewer to examine a scene within a valley in Canada. Look at ...

Interactive resource

The Metrix: new planet

Captain the Metrix spacecraft on its mission to a new planet. Use the metric measurement tables for length, volume and area to help you make decisions about the spacecraft’s launch, flight and landing. For example, to select and load the correct ship’s cargo, convert three cubic metres into cubic centimetres. Reach the ...

Collection

Marine ecosystems

This is a collection of 25 digital curriculum resources about the flow of energy and matter in marine ecosystems. The collection comprises 19 images and 6 videos. Images allow students to identify a range of marine producers and consumers and to construct food webs. Some resources show the results of human activity on some ...

Image

Copper town, Mt Lyell, Tasmania, 1948

This is a black-and-white photograph of Mt Lyell, a mining town in western Tasmania in 1948. It features parts of a slag heap and a goods train in the foreground, the township in the centre and denuded hills in the background.

Teacher resource

TIMES Module 19: Number and Algebra: multiples, factors and powers - teacher guide

This is a 33-page guide for teachers. It introduces the concepts of primes, composites, prime factorisation, factors, multiples, odd and even numbers, the least common multiple and the highest common factor.

Teacher resource

TIMES Module 24: Number and Algebra: negatives and the index laws in algebra - teacher guide

This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.