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Mathematics / Year 10 / Number and Algebra / Patterns and algebra

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Australian Curriculum, Assessment and Reporting Authority

Curriculum content descriptions

Expand binomial products and factorise monic quadratic expressions using a variety of strategies (ACMNA233)

Elaborations

exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations
identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs
using the identities for perfect squares and the difference of squares to factorise quadratic expressions

General capabilities

Numeracy

ScOT terms

Distributivity, Polynomials

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Catalyst: Graham's number

TLF-IDM015447

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 ...

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