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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Indices
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A Little Atmosphere

This activity invites students to model the scaled thickness of the atmosphere on a globe using sheets of transparency material. The activity includes a list of tools and materials required, what to do and notice, an explanation for the underlying science of what students observe and suggestions for further activities.

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Use variables: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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Formulate and manipulate expressions: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...

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When I post something online how permanent is it?

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

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Inverse-square law

This activity invites students to explore why the world gets dark so fast outside the circle of the campfire. Using simple equipment, students can investigate the inverse square relationship for light spreading out over an area. The activity includes a list of tools and materials required, assembly instructions, what to ...

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Catalyst: 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.

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Self Improvement Wednesday: 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.

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Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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MathXplosion, Ep 6: 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.

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Catalyst: Prime numbers and unbreakable codes

Imagine if anyone was able to read all our secret, encrypted messages and information. Watch and find out how scientists at the Australian National University are developing a new encryption system using quantum physics and quantum computing.

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MathXplosion, Ep 15: How many times can a sheet of paper be folded?

Why can a regular sheet of paper be folded only about six times? By folding a sheet of paper in half, over and over, the number of layers and the thickness of the paper doesn’t just double, they increase exponentially. Find out how many times a sheet of paper can actually be folded!

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MathXplosion, Ep 7: The power of exponents

Have you heard of the term "exponential growth"? Growth can occur very quickly when powers are involved. See how you can use the power of two to rapidly increase the amount of anything from grain to coins!

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TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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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.

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TIMES Module 35: Number and Algebra: the quadratic function - teacher guide

This is a 29-page guide for teachers. It introduces graphing of quadratic functions.

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Indices

This is a website designed for both teachers and students that addresses indices from the Australian Curriculum for year 9 students. It contains material on indices and explains the index laws and their use with integer indices. There are pages for both teachers and students. The student pages contain interactive questions ...

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The laws of arithmetic and their use in algebra

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

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TIMES Module 33: Number and Algebra: factorisation - teacher guide

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

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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.

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reSolve: Algebra: Sums & Differences of Squares

This sequence of three lessons explores sums and differences of two squares. Students are introduced to the historical context of using lookup tables for multiplications and challenged to investigate and generalise the underlying process using algebraic means. In subsequent lessons students use visual and algebraic methods ...