solve addition and when calculating 10n, where 1 ≤ A < calculate exactly with with decimals) 10 and n is an integer subtraction surds problems in apply the four use inequality apply and interpret contexts, deciding operations, notation to specify limits of accuracy, which operations including formal simple error intervals including upper and and methods to use written methods, due to truncation or lower bounds and why to integers and rounding multiply multi-digit decimals apply and interpret numbers up to 4 use conventional limits of accuracy digits by a two-digit notation for whole number priority of using the formal operations, written method of including brackets long multiplication solve problems recognise and use involving addition, relationships subtraction and between multiplication operations, including inverse use their operations (e.g. knowledge of the cancellation to simplify order of operations to carry out calculations and expressions) calculations Algebraic Proficiency: Using Formulae Stage 4 Stage 5 Stage 6f Stage 7 Stage 8 Stage 9 Stage 10 use simple formulae convert between miles and kilometres Proportional Reasoning Stage 4 Stage 5 Stage 6h Stage 7h Stage 8g Stage 9d Stage 10f solve problems use ratio notation, express the solve problems interpret equations involving the including division of a involving direct that describe direct relative sizes of reduction to quantity into two and inverse and inverse two quantities simplest form parts as a ratio; proportion proportion where missing divide a given apply ratio to real including graphical recognise and values can be found quantity into two contexts and interpret graphs that
solve addition and subtraction problems in contexts, deciding which operations and methods to use and why multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication solve problems involving addition, subtraction and multiplication use their knowledge of the order of operations to carry out calculations when calculating with decimals) apply the four operations, including formal written methods, to integers and decimals use conventional notation for priority of operations, including brackets recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions) 10n, where 1 ≤ A < 10 and n is an integer use inequality notation to specify simple error intervals due to truncation or rounding apply and interpret limits of accuracy calculate exactly with surds apply and interpret limits of accuracy, including upper and lower bounds Algebraic Proficiency: Using Formulae Stage 4 Stage 5 Stage 6f Stage 7 Stage 8 Stage 9 Stage 10 use simple formulae convert between miles and kilometres Proportional Reasoning Stage 4 Stage 5 Stage 6h Stage 7h Stage 8g Stage 9d Stage 10f solve problems involving the relative sizes of two quantities where missing values can be found use ratio notation, including reduction to simplest form divide a given quantity into two express the division of a quantity into two parts as a ratio; apply ratio to real contexts and solve problems involving direct and inverse proportion including graphical interpret equations that describe direct and inverse proportion recognise and interpret graphs that