The Maths Curriculum for Parents: Year 1

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add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion Pupils should make connections between percentages, fractions and decimals (for example, 100% represents a whole quantity and 1% is Pupils’ understanding of the number system and decimal place value is extended at this stage to tenths and then hundredths. This includes relating the decimal notation to division of whole number by 10 and later 100.

recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = move freely between different numerical, algebraic, graphical and diagrammatic representations, including of linear, quadratic, reciprocal, {exponential and trigonometric} functionsderive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders) extend fluency with expressions and equations from key stage 3, to include quadratic equations, simultaneous equations and inequalities explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally Separate versions containing just the primary (key stages 1 to 2) and secondary (key stages 3 to 4) curriculums are also available. Use concrete objects and pictorial representations to solve one-step addition and subtraction problems and missing number problems.

begin to model situations mathematically and express the results using a range of formal mathematical representations describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetricPupils should partition numbers in different ways (for example, 23 = 20 + 3 and 23 = 10 + 13) to support subtraction. They become fluent and apply their knowledge of numbers to reason with, discuss and solve problems that emphasise the value of each digit in two-digit numbers. They begin to understand 0 as a place holder. Number - addition and subtraction Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at key stage 1. Year 1 programme of study Number - number and place value Pupils should use a variety of images to support their understanding of multiplication with fractions. This follows earlier work about fractions as operators (fractions of), as numbers, and as equal parts of objects, for example as parts of a rectangle.