Maths Descriptors Strand Number Multiply and divide whole numbers by 10, 100 and 1000 Multiply and divide decimals by 10, 100 and 1000 Order, add and subtract negative numbers in context Perform calculations with numbers to 2 decimal places Perform calculations using mixed numbers write a whole number as a product of its prime factors Find the lowest common multiple of two numbers Find the highest common factor of two numbers Use BIDMAS to perform operations in the correct order Reduce a fraction to its simplest form Write a ratio in its simplest form Solve a simple problem involving direct proportion Calculate fractions of quantities Calculate percentages of quantities Multiply a 3-digit number by a 2-digit number without a calculator Divide a 3-digit number by a 2-digit number without a calculator Put decimal numbers into order Evaluate one number as a fraction of another Evaluate one number as a percentage of another Work out percentage increases and decreases Add and subtract fractions Share a quantity into a given ratio Convert between equivalent fractions, decimals and percentages Round a number to 1 significant figure Understand the effect of multiplying or dividing by a number between 0 and 1 Calculate the result of a proportional change Perform calculations using powers and roots Calculate with numbers in standard form Calculate the result of a repeated proportional change Work out the original quantity, before a repeated proportional change Solve problems involving compound interest
Strand Algebra Construct a simple formula using two operations Write down a term to term rule for a linear sequence Write down a position to term rule for a linear sequence Formulate linear equations with whole number coefficients Solve linear equations with whole number coefficients Plot the graph of a linear equation using the equation to work out the coordinates of points on the line Substitute values into formulas Calculate the nth term of a quadratic sequence Multiply two brackets of the form (x + n) together, and simplify the result by collecting like terms Solve two linear simultaneous equations graphically Solve two linear simultaneous equations algebraically Solve simple inequalities Substitute any kind of number into an algebraic formula Manipulate algebraic fractions confidently, factorising expressions and cancelling out common factors Understand and use the difference of two squares Solve linear inequalities in two variables Sketch quadratic functions Recognise cubic and reciprocal functions Shape Use and interpret co-ordinates in all four quadrants Measure and draw angles to the nearest degree Construct a perpendicular bisector of a line Name the different types of angles Remember what the angles in a triangle add up to Remember what the angles around a point add up to Identify reflection and rotational symmetries in two-dimensional shapes Use rough metric equivalents of common imperial units Convert one metric unit into another metric unit Recognise common 2D representations of 3D objects Draw the net of a cube Classify different quadrilaterals by their properties Solve angle problems involving polygons Understand angle properties of intersecting parallel lines Calculate bearings Find the circumference of a circle Find the area of a circle Calculate areas of triangles, parallelograms and trapeziums Find the volume of a cuboid Enlarge a shape by a positive whole number scale factor Interpret a distance-time graph Understand and use Pythagoras’ Theorem Calculate volumes of prisms Enlarge a shape by a fractional scale factor Understand what it means when two shapes are ‘similar’ Solve a simple loci problem Calculate upper and lower bounds for whole numbers Understand and use compound measures, such as speed and density Understand and use congruence and similarity Use sin, cos and tan in triangles Distinguish between formulas for perimeter, area and volume by considering dimensions