A: Algebra
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use and interpret algebraic manipulation, including:
use and interpret algebraic manipulation, including:
- ab in place of a × b
- 3y in place of y+y+y and 3×y
- a^2 in place of a×a, a^3 in place of a×a×a, a^2b in place of a×a×b
- b/a in place of a÷b
- coefficients written as fractions rather than as decimals
- brackets
substitute numerical values into formulae and expressions, including scientific formulae
substitute numerical values into formulae and expressions, including scientific formulae
understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors
understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors
simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
- collecting like terms
- multiplying a single term over a bracket
- taking out common factors
- expanding products of two or more binomials
- factorising quadratic expressions of the form x^2 + bx + c, including the difference of two squares; factorising quadratic expressions of the form ax^2 + bx + c
- simplifying expressions involving sums, products and powers, including the laws of indices