numbers, and when calculate with standard calculate with and solve addition and calculating with form A × 10n, 1 A with integer and fractional subtraction multi-step ≤ decimals) < 10 and is an integer indices problems in contexts, calculate exactly with deciding which the four use inequality notation to surds operations and methods operations, including specify simple error apply and interpret limits to use and why formal written intervals due to truncation of accuracy, including methods, to integers multiply multi-digit or rounding upper and lower bounds and decimals numbers up to 4 digits apply and interpret limits by a two-digit whole use conventional of accuracy number using the formal notation for priority of written method of long operations, including multiplication brackets solve problems involving addition, subtraction and recognise and use multiplication relationships between operations, including inverse operations (e.g. use their knowledge of cancellation to simplify the order of operations calculations and to carry out calculations expressions) Algebraic Proficiency: Using Formulae Stage 4 5 Stage 6f Stage 7 8 Stage 9 Stage 10 use simple formulae convert between miles and kilometres Proportional Reasoning 4 Stage 5 Stage 6h Stage 7h Stage 8g Stage 9d 10f interpret equations that solve problems involving use ratio notation, express the division of solve problems describe direct and inverse the relative sizes of two including reduction to a quantity into two involving direct and proportion quantities where missing simplest form as a ratio; apply ratio to inverse proportion values can be found by real contexts and including graphical and recognise and interpret divide a given quantity using integer problems (such as algebraic into two parts in a graphs that illustrate direct multiplication and those involving representations given part:part or and inverse proportion division facts conversion, part:whole ratio the concepts of understand that X is comparison, scaling, solve problems involving congruence and inversely proportional to mixing, concentrations) similar shapes where the similarity, including the Y is equivalent to X is scale factor is known or identify and work with relationships between proportional to 1/Y can be found fractions in ratio lengths in similar problems figures problems involving unequal sharing and change freely between grouping using compound (e.g.
solve addition and subtraction multi-step 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 numbers, and when calculating with decimals) 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) calculate with standard form A × 10n, 1 ≤ A < 10 and is an integer use inequality notation to specify simple error intervals due to truncation or rounding apply and interpret limits of accuracy calculate with and with integer and fractional indices calculate exactly with surds apply and interpret limits of accuracy, including upper and lower bounds Algebraic Proficiency: Using Formulae Stage 4 5 Stage 6f Stage 7 8 Stage 9 Stage 10 use simple formulae convert between miles and kilometres Proportional Reasoning 4 Stage 5 Stage 6h Stage 7h Stage 8g Stage 9d 10f solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts solve problems involving similar shapes where the scale factor is known or can be found problems involving unequal sharing and grouping using use ratio notation, including reduction to simplest form divide a given quantity into two parts in a given part:part or part:whole ratio express the division of a quantity into two as a ratio; apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations) identify and work with fractions in ratio problems solve problems involving direct and inverse proportion including graphical and algebraic representations the concepts of congruence and similarity, including the relationships between lengths in similar figures change freely between compound (e.g. interpret equations that describe direct and inverse proportion recognise and interpret graphs that illustrate direct and inverse proportion understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y
Year-9-Curriculum-Guide-MASTER1.docx