# Year 5

Mathematics in Year 5

During the years of upper Key Stage 2 (Year 5 and Year 6), children use their knowledge of number bonds and multiplication tables to tackle more complex problems, including larger multiplication and division, and meeting new material. In Year 5, this includes more work on calculations with fractions and decimals, and using considerably larger numbers than previously.  Much of the knowledge in Year 5 relies on number facts being easily recalled. For example, to find common factors or to make simple conversions, knowledge of multiplication tables is essential. Any practice at home to keep these skills sharp will certainly be appreciated by your child’s class teacher!

##### Number and Place Value
• Recognise and use the place value of digits in numbers up to 1 million (1,000,000)
• Use negative numbers, including in contexts such as temperature
• Round any number to the nearest 10, 100, 1,000, 10,000 or 100,000
• Read Roman numerals, including years
##### Calculations
• Carry out addition and subtraction with numbers larger than four digits
• Use rounding to estimate calculations and check answers are of a reasonable size
• Find factors of multiples of numbers, including finding common factors of two numbers
• Know the prime numbers up to 19 by heart, and find primes up to 100
• Use the standard methods of long multiplication and short division
• Multiply and divide numbers mentally by 10, 100 or 1,000
• Recognise and use square numbers and cube numbers

##### Fractions and Decimals
• Put fractions with the same denominator into size order
• Find equivalents of common fractions
• Convert between improper fractions and mixed numbers
• Add and subtract simple fractions with related denominators
• Convert decimals to fractions
• Round decimals to the nearest tenth
• Put decimals with up to three decimal places into size order
• Begin to use the % symbol to relate to the ‘number of parts per hundred'

Measurements

• Convert between metric units, such as centimetres to metres or grams to kilograms
• Use common approximate equivalences for imperial measures, such as 2.5cm » 1 inch
• Calculate the area of rectangles using square centimetres or square metres
• Calculate the area of shapes made up of rectangles
• Estimate volume (in cm3) and capacity (in ml)
##### Shape and Position
• Estimate and compare angles, and measure them to the nearest degree
• Know that angles on a straight line add up to 180°, and angles around a point add up to 360°
• Use reflection and translation to change the position of a shape
##### Graphs and Data
• Read and understand information presented in tables, including timetables
• Solve problems by finding information from a line graph