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Chorlton C of E Primary School

“An Adventure for the Mind, and a Home for the Heart”

“UN Rights of a Child Article 2: A child has rights, whatever their ethnicity, gender, religion, language or abilities. Whatever they think or say, whatever their family background.”

Nursery and Reception Nativity, St Clement's Church, Wednesday Dec 5th, 9.15am

Year 5

In maths a Year 5 child is expected to know:

  • Read, write and order numbers to 1,000,000
  • Count on and back in steps of 100,1,000, 10,000 up to 1,000,000
  • Round any number to the nearest 10, 100, 1,000, 10,000 or 100,000
  • Estimate and calculate additions involving 2, 3-digit numbers (to nearest 10)
  • Estimate and calculate subtractions  involving 2, 3-digit numbers (to nearest 10)
  • Estimate and calculate multiplications involving a 2-digit and a 3-digit numbers (to nearest 10)
  • Estimate and calculate divisions of a 3-digit number by a 1-digit number (to nearest 10)
  • Add 3, 5-digit numbers using column addition
  • Subtract one 5-digit number from another, using column subtraction
  • Rapid Recall: Mentally add a 2-digit number to a 3-digit number
  • Rapid Recall: Mentally add a 1000s number to a 5-digit number
  • Rapid Recall: Mentally subtract a 2-digit number from a 3 or 4-digit number
  • Rapid Recall: Mentally subtract a 1000s number from a 5-digit number
  • Know all factors that make up numbers to 100
  • Recognise all prime numbers to 100
  • Multiply a 4-digit number by a 2-digit number using formal methods
  • Divide a 4-digit number by a 1-digit number (with remainders)
  • Multiply numbers by 10, 100 and 1,000
  • Divide number by 10, 100 and 1,000
  • Recognise and use square numbers and square roots
  • Know and use the symbols (²),(3) and (√) accurately
  • Fractions: Compare and order fractions whose denominators are multiples of the same number
  • Convert mixed numbers to improper fractions and visa versa
  • Add and subtract fractions with the same denominator
  • Multiple proper fractions and mixed fractions by whole numbers
  • Decimal Fractions: Read and write decimal numbers as fractions (up to hundredths)
  • Round decimals with two decimal places to nearest whole number and one decimal place
  • Read, write, order and compare decimal numbers with up to three decimal places
  • Percentages: Recognise the % symbol
  • Understand that percentage is measured as part of 100
  • Solve problems which require knowing percentage and decimal value of ½, ¼, ⅕, ⅖ and ⅘
  • Measure angles in degrees
  • Draw a given angle accurately
  • Know and use reflex angles
  • Construct shapes from given dimensions
  • Identify 3D shapes from 2D representations
  • Identify, describe and represent the position of a shape following reflection and translation
  • Add, subtract, multiply and divide units of measure (using decimal notation)
  • Understand and use basic equivalence between metric and common imperial units
  • Calculate, estimate and compare areas of squares and rectangles using cm squared (cm²) and metre squared (m²)
  • Recognise volume in practical contexts

A year 5 mathematician

Number, place value, approximation and estimation/rounding

  • I can count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.
  • I can read, write, order and compare numbers to at least 1,000,000.
  • I can determine the value of each digit in numbers up to 1,000,000.
  • I can read Roman numerals to 1,000 (M) and recognise years written in Roman numerals.
  • I can round any number up to 1,000,000 to the nearest 10, 100, 1000, 10000 and 100000.
  • I can interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero.
  • I can solve number problems and practical problems with the above.

Calculations

  • I can add and subtract numbers mentally with increasingly large numbers.
  • I can add and subtract whole numbers with more than 4 digits, including using formal written methods.
  • I can use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy.
  • I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.
  • I can identify multiples and factors, including finding all factor pairs or a number and common factor pairs of two numbers.
  • I use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers.
  • I can establish whether a number up to 100 is prime and recall prime numbers up to 19.
  • I recognise and use square numbers and cube numbers, and the notation for squared and cubed.
  • I can multiply and divide numbers mentally drawing on known facts.
  • I can multiply and divide whole numbers and those involving decimals by 10, 100 and 1000.
  • I can multiply numbers up to 4 digits by a 1-digit or 2-digit number using a formal written method, including long multiplication for 2-digit numbers.
  • I can divide numbers up to 4 digits by a 1-digit number using the formal written method of short division and interpret remainders appropriately for the context.
  • I can solve problems involving multiplication and division including using knowledge of factors and multiples, squares and cubes.
  • I can solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign.
  • I can solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates.

Fractions, decimals and percentages

  • I can recognise mixed numbers and improper fractions and convert from one form to the other.
  • I can write mathematical statements >1 as a mixed number.
  • I can identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.
  • I can compare and order fractions whose denominators are multiples of the same number.
  • I can add and subtract fractions with the same denominator and denominators that are multiples of the same number.
  • I can multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams.
  • I can read and write decimal numbers as fractions.
  • I recognise and can use thousandths and relate them to tenths, hundredths and decimal equivalents.
  • I can round decimals with 2 decimal places to the nearest whole number and 1 decimal place.
  • I can read, write, order and compare numbers with up to 3 decimal places.
  • I can solve problems involving numbers up to 3 decimal places.
  • I recognise the percent symbol and understand that percent relates to ‘number parts per hundred’.
  • I can write percentages as a fraction with denominator hundred, and as a decimal.
  • I can solve problems which require knowing percentage and decimal equivalents of ½, ¼, 1/5, 2/5, 4/5 and those fractions with a denominator or a multiple of 10 or 25.

Measurement

  • I can solve problems involving converting between units of time.
  • I can convert between different units of metric measure.
  • I understand and use approximate equivalences between metric units and common imperial units, such as inches, pounds and pints.
  • I can measure and calculate the perimeter of composite rectilinear shapes in cm and m.
  • I can calculate and compare the area of rectangles (incl squares), and including using standard units (cm2 and cm3) to estimate the area of irregular shapes.
  • I can estimate volume and capacity.
  • I can use all four operations to solve problems involving money using decimal notation, including scaling.

Geometry – properties of shapes

  • I can use the properties of rectangles to deduce related facts and find missing lengths and angles.
  • I can distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
  • I can identify 3D shapes, including cubes and other cuboids, from 2D representations.
  • I know angles are measured in degrees.
  • I can estimate and compare acute, obtuse and reflex angles.
  • I can identify angles at a point and one whole turn.
  • I can identify angles at a point on a straight line and ½ a turn.
  • I can identify other multiples of 90º.
  • I can draw given angles and measure them in degrees.

Geometry – position and direction

  • I can identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

Statistics

  • I can complete, read and interpret information in tables, including timetables.
  • I can solve comparison, sum and difference problems using information presented in a line graph.
Chorlton C of E Primary School

“An Adventure for the Mind, and a Home for the Heart”

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