Mathematics / Year 7 / Number and Algebra / Patterns and algebra

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Curriculum content descriptions

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

Elaborations
  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra
General capabilities
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Pronumerals

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4 direct matches to ACMNA175

Video

MathXplosion, Ep 22: How to communicate numbers with Roman numerals

  • TLF-IDM024910

Explore an alternative way to communicate numbers using the anchor numbers 5 and 10 and the ancient Roman counting system based on letters. Roman numerals were used throughout Europe well into the middle ages and still appear in the names of monarchs, the production year of films, on buildings and on timepieces.

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Video

Patterns, primes and Pascal's Triangle

  • TLF-IDM017686

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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Online

Introduction to algebra

  • TLF-IDM013740

This is a website designed for both teachers and students that addresses the introduction of algebra. It is particularly relevant for introducing the idea of the use of a variable as a way of representing numbers. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Online

reSolve: Algebra - Prisms and pyramids

  • TLF-IDM021069

This lesson engages students in investigating the relationship between the number of faces, edges and vertices of pyramids and prisms. Students construct their own 3D shapes, systematically record the properties of the shape and develop an algebraic formula to generalise the relationships discovered. The lesson is outlined ...

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