Algebraic Proficiency: tinkering Stage 4 Stage 5 Stage 6 Stage 7f Stage 8e Stage 9c Stage 10e understand and use use and interpret understand and simplify and the concepts and algebraic notation, use the concepts manipulate algebraic vocabulary of including: a²b in and vocabulary of expressions involving expressions, place of a × a × b, identities algebraic fractions equations, formulae coefficients written know the manipulate algebraic and terms as fractions rather difference expressions by use and interpret than as decimals between an expanding products algebraic notation, understand and equation and an of more than two including: ab in use the concepts identity binomials place of a × b, 3y in and vocabulary of simplify and simplify and place of y + y + y factors manipulate manipulate algebraic and 3 × y, a² in simplify and algebraic expressions place of a × a, a³ in manipulate expressions by (including those place of a × a × a, algebraic expanding involving surds) by a/b in place of a ÷ expressions by products of two expanding products b, brackets taking out binomials and of two binomials and simplify and common factors factorising factorising quadratic manipulate and simplifying quadratic expressions of the algebraic expressions expressions of the form x² + bx + c, expressions by involving sums, form x² + bx + c including the collecting like products and argue difference of two terms and powers, including mathematically to squares multiplying a single the laws of indices show algebraic manipulate algebraic term over a substitute expressions by expressions are bracket numerical values equivalent, and factorising quadratic expressions of the form where appropriate, into scientific use algebra to interpret simple formulae support and ax² + bx + c expressions as construct rearrange formulae functions with to change the arguments inputs and outputs subject translate simple substitute situations or numerical values procedures into into formulae and algebraic expressions expressions or use conventional formulae notation for priority of
Algebraic Proficiency: tinkering Stage 4 Stage 5 Stage 6 Stage 7f Stage 8e Stage 9c Stage 10e understand and use the concepts and vocabulary of expressions, equations, formulae and terms use and interpret algebraic notation, including: ab in place of a × b, 3y in place of y + y + y and 3 × y, a² in place of a × a, a³ in place of a × a × a, a/b in place of a ÷ b, brackets simplify and manipulate algebraic expressions by collecting like terms and multiplying a single term over a bracket where appropriate, interpret simple expressions as functions with inputs and outputs substitute numerical values into formulae and expressions use conventional notation for priority of use and interpret algebraic notation, including: a²b in place of a × a × b, coefficients written as fractions rather than as decimals understand and use the concepts and vocabulary of factors simplify and manipulate algebraic expressions by taking out common factors and simplifying expressions involving sums, products and powers, including the laws of indices substitute numerical values into scientific formulae rearrange formulae to change the subject understand and use the concepts and vocabulary of identities know the difference between an equation and an identity simplify and manipulate algebraic expressions by expanding products of two binomials and factorising quadratic expressions of the form x² + bx + c argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments translate simple situations or procedures into algebraic expressions or formulae simplify and manipulate algebraic expressions involving algebraic fractions manipulate algebraic expressions by expanding products of more than two binomials simplify and manipulate algebraic expressions (including those involving surds) by expanding products of two binomials and factorising quadratic expressions of the form x² + bx + c, including the difference of two squares manipulate algebraic expressions by factorising quadratic expressions of the form ax² + bx + c
Framework-of-Progression-MASTER.docx