Language of algebra
Students need to be able to fluently move from words to algebra and back again. Looking carefully at all the different possible words for the four main operations and how order can imply brackets.
Substitution
Students need to be able to substitute values into expressions and use formulas to find the value of a variable.
Simplifying multiplication
Simple multiplication that does not have an effect on the indices.
Simplifying addition and subtraction
Like and unlike terms, including negative solutions
Laws of indices
Power of 0
Square roots and cube roots as the inverse of squaring and cubing, bringing up the idea that we need fractional powers
Expanding
Up to three brackets and using more than two terms in brackets
A mention perfect squares and difference of two squares
Factorising
Starting with linear then move slowly into the simple quadratics
Simplifying fractions
Number fractions and show the generalisation to algebraic fractions, Including simple factorising
Operations with Fractions
Start with number fractions and show the generalisation to algebraic fractions
Students need to be able to fluently move from words to algebra and back again. Looking carefully at all the different possible words for the four main operations and how order can imply brackets.
Substitution
Students need to be able to substitute values into expressions and use formulas to find the value of a variable.
Simplifying multiplication
Simple multiplication that does not have an effect on the indices.
Simplifying addition and subtraction
Like and unlike terms, including negative solutions
Laws of indices
Power of 0
Square roots and cube roots as the inverse of squaring and cubing, bringing up the idea that we need fractional powers
Expanding
Up to three brackets and using more than two terms in brackets
A mention perfect squares and difference of two squares
Factorising
Starting with linear then move slowly into the simple quadratics
Simplifying fractions
Number fractions and show the generalisation to algebraic fractions, Including simple factorising
Operations with Fractions
Start with number fractions and show the generalisation to algebraic fractions