Notation, vocabulary and manipulation common mistakes

Algebraic notation common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use and interpret algebraic notation for products, powers, division, fractional coefficients and brackets..

Show the method first, then give the final answer in the required form. Apply this directly to Algebraic notation.

Substitution common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Substitute numerical values into formulae and expressions, including scientific formulae supplied in a question..

Show the method first, then give the final answer in the required form. Apply this directly to Substitution.

Algebraic vocabulary common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Understand and use algebraic vocabulary for expressions, equations, formulae, inequalities, terms and factors..

Show the method first, then give the final answer in the required form. Apply this directly to Algebraic vocabulary.

Algebraic vocabulary common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Include identities within algebraic vocabulary and reasoning..

Show the method first, then give the final answer in the required form. Apply this directly to Algebraic vocabulary.

Manipulating expressions common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Simplify and manipulate algebraic expressions by collecting like terms, expanding a single term over a bracket, taking out common factors and using index laws..

Show the method first, then give the final answer in the required form. Apply this directly to Manipulating expressions.

Manipulating expressions common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Expand products of two binomials and factorise quadratics of the form x^2 + bx + c where appropriate..

Show the method first, then give the final answer in the required form. Apply this directly to Manipulating expressions.

Manipulating expressions common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Manipulate expressions involving surds and algebraic fractions, expand products of two or more binomials and factorise quadratics of the form ax^2 + bx + c..

Show the method first, then give the final answer in the required form. Apply this directly to Manipulating expressions.

Formulae and rearranging common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Understand and use standard mathematical formulae, including formulae written in words and symbols..

Show the method first, then give the final answer in the required form. Apply this directly to Formulae and rearranging.

Formulae and rearranging common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Rearrange formulae to change the subject..

Show the method first, then give the final answer in the required form. Apply this directly to Formulae and rearranging.

Identities and algebraic proof common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Know the difference between an equation and an identity..

Show the method first, then give the final answer in the required form. Apply this directly to Identities and algebraic proof.

Identities and algebraic proof common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Use algebra to show that expressions are equivalent and to support or construct mathematical arguments..

Show the method first, then give the final answer in the required form. Apply this directly to Identities and algebraic proof.

Identities and algebraic proof common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Construct algebraic proofs where required..

Show the method first, then give the final answer in the required form. Apply this directly to Identities and algebraic proof.

Functions common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Interpret simple expressions as functions with inputs and outputs where appropriate..

Show the method first, then give the final answer in the required form. Apply this directly to Functions.

Functions common mistake 1

Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Interpret inverse functions and composite functions using expected function notation..

Show the method first, then give the final answer in the required form. Apply this directly to Functions.