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Algebraic Expansion and Factorisation - Coggle Diagram
Algebraic Expansion and Factorisation
Expansion
expansion of the product of algebraic expressions (linear/non-linear) using distributive law / multiplication frame
Factorisation as the reverse of expansion
factorisation of linear expressions of the form ππ₯+ππ₯+πππ¦+kby
Factorisation using special identities
Factorisation of quadratic expressions using cross method/multiplication frame
Solving quadratic equations using factorisation
Understanding of Notations
Communicate Mathematical Language
2x = 2 times x
x^2 = x*x
x/y = x divided by y
Brackets as multiplication
Notations are used to represent mathematical objects, their operations and relationships in a concise and precise manner that can be understood by users of mathematics. They form a writing system that facilitate the communication of mathematical ideas.
Simplication of Algebraic Expressions
evaluation of algebraic expressions and formulae
translation of simple real-world situations into algebraic expressions
recognising and representing patterns/relationships by finding an algebraic expression for the πth term
addition and subtraction of linear expressions
simplification of linear expressions
use brackets and extract common factors
factorisation of linear expressions of the form ππ₯+ππ₯+πππ¦+πππ¦
expansion of the product of algebraic expressions
changing the subject of a formula