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Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)
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This sequence of four lessons explores prime factorisation. Students solve a puzzle using factor strings, play a dice game to learn about prime numbers, develop a method for finding all of the factors of a number, and engage in an investigation of highest common factors and lowest common multiples of two numbers, and how ...
This resource is a short video presentation, with audio commentary, in which the meaning of exponents or powers of a number is explained. In the numerical example used the presenter explains the difference between evaluating the power of a number and the product of two numbers.
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 ...
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. ...
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 ...
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 ...