by using integer parts in a given problems (such as and algebraic illustrate direct and multiplication and part:part or those involving representations inverse proportion division facts part:whole ratio conversion, apply the understand that X is solve problems comparison, concepts of inversely involving similar scaling, mixing, congruence and proportional to Y is concentrations) shapes where the similarity, equivalent to X is scale factor is identify and work including the proportional to 1/Y known or can be with fractions in relationships found ratio problems between lengths in similar figures solve problems understand and involving unequal use proportion as change freely sharing and equality of ratios between grouping using express a compound units knowledge of multiplicative (e.g. density, fractions and relationship pressure) in multiples between two numerical and quantities as a algebraic contexts use compound ratio or a fraction use compound units such as units (such as density and speed, rates of pay, pressure unit pricing) change freely between compound units (e.g. speed, rates of pay, prices) in numerical contexts relate ratios to fractions and to linear functions Solving Equations and Inequalities Stage 4 Stage 5 Stage 6m Stage 7m Stage 8k Stage 9f Stage 9j Stage 10c Stage 10h Stage 10m enumerate recognise solve linear understand solve, in find solve linear solve possibilities and use equations and use the simple cases, approximate inequalities in quadratic of relationships with the concepts and two linear solutions to two variables equations between unknown on vocabulary of simultaneous equations algebraically represent the of two operations, both sides of inequalities equations in numerically solution set to by factorising variables including the equation solve linear two using an inequality solve express inverse find inequalities in variables iteration using set quadratic missing operations approximate one variable algebraically equations
by using integer multiplication and division facts solve problems involving similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples parts in a given part:part or part:whole ratio problems (such as those involving conversion, comparison, scaling, mixing, concentrations) identify and work with fractions in ratio problems understand and use proportion as equality of ratios express a multiplicative relationship between two quantities as a ratio or a fraction use compound units (such as speed, rates of pay, unit pricing) change freely between compound units (e.g. speed, rates of pay, prices) in numerical contexts relate ratios to fractions and to linear functions and algebraic representations apply the concepts of congruence and similarity, including the relationships between lengths in similar figures change freely between compound units (e.g. density, pressure) in numerical and algebraic contexts use compound units such as density and pressure illustrate direct and inverse proportion understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y Solving Equations and Inequalities Stage 4 Stage 5 Stage 6m Stage 7m Stage 8k Stage 9f Stage 9j Stage 10c Stage 10h Stage 10m enumerate possibilities of of two variables express missing recognise and use relationships between operations, including inverse operations solve linear equations with the unknown on both sides of the equation find approximate understand and use the concepts and vocabulary of inequalities solve linear inequalities in one variable solve, in simple cases, two linear simultaneous equations in two variables algebraically find approximate solutions to equations numerically using iteration solve linear inequalities in two variables represent the solution set to an inequality using set solve quadratic equations algebraically by factorising solve quadratic equations
Framework-of-Progression-MASTER.docx