# Year 1 Mathematics

Mathematics is an important subject that helps us to understand so much about what happens in the world. We ensure that children are able to recognise the importance of maths in the wider world and that they are also able to use their mathematical skills and knowledge in their lives in a range of different contexts. We want all children to enjoy mathematics and to experience success in the subject, with the ability to reason mathematically. We believe all children can achieve in mathematics, and teach for secure and deep understanding of concepts through fluency, reasoning and problem solving. We use mistakes and misconceptions as an essential part of learning and provide challenge through rich and varied problems.

We intend for all pupils to:

• become fluent in the fundamentals of mathematics so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
• reason mathematically by following a line of enquiry and develop and present a justification, argument or proof using mathematical language.
• be able to solve problems by applying their mathematics to a variety of problems with increasing sophistication, including in unfamiliar contexts and to model real-life scenarios
• have an appreciation of number and number operations, which enables mental calculations and written procedures to be performed efficiently, fluently and accurately to be successful in mathematics

Number and Place Value

• count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
• count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s
• given a number, identify 1 more and 1 less
• identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
• read and write numbers from 1 to 20 in numerals and words

• read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signs
• represent and use number bonds and related subtraction facts within 20
• add and subtract one-digit and two-digit numbers to 20, including 0
• solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9

Multiplication and Division

• solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher

Fractions

• recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity
• recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity

Measurement

• compare, describe and solve practical problems for:
• lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]
• mass/weight [for example, heavy/light, heavier than, lighter than]
• capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]
• time [for example, quicker, slower, earlier, later]
• measure and begin to record the following:
• lengths and heights
• mass/weight
• capacity and volume
• time (hours, minutes, seconds)
• recognise and know the value of different denominations of coins and notes
• sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]
• recognise and use language relating to dates, including days of the week, weeks, months and years
• tell the time to the hour and half past the hour and draw the hands on a clock face to show these times

Properties of shapes

• recognise and name common 2-D and 3-D shapes, including:
• 2-D shapes [for example, rectangles (including squares), circles and triangles]
• 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]

Position and direction

• describe position, direction and movement, including whole, half, quarter and three-quarter turns