MATHS – YEAR 5

AUTUMN TERM

Pupils will have the opportunity to develop the following skills:

Number – Place Value 

• Read, write, order and compare numbers to at least 1000000 and determine the value of each digit. 
• Count forwards or backwards in steps of powers of 10 for any given number up to 1000000. 
• Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers including through zero. 
• Round any number up to 1000000 to the nearest 10, 100, 1000, 10000 and 100000 
• Solve number problems and practical problems that involve all of the above. 
• Read Roman numerals to 1000 (M) and recognise years written in Roman numerals. 

Number- Addition and Subtraction 

• Add and subtract numbers mentally with increasingly large numbers. 
• Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. 
• Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 

Statistics 

• Solve comparison, sum and difference problems using information presented in a line graph. 
• Complete, read and interpret information in tables including timetables. 

Number – multiplication and division 

• Multiply and divide numbers mentally drawing upon known facts. 
• Multiply and divide whole numbers by 10, 100 and 1000. 
• Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. 
• Recognise and use square numbers and cube numbers and the notation for squared (2) and cubed (3) 
• Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes. 
• Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. 
• Establish whether a number up to 100 is prime and recall prime numbers up to 19 

Perimeter and Area 

• Measure and calculate the perimeter of composite rectilinear shapes in cm and m. 
• Calculate and compare the area of rectangles (including squares), and including using standard units, cm2, m2 estimate the area of irregular shapes.

Pupils will have the opportunity to develop their knowledge about:

Number – Place Value

• Know the place value of numbers up to 1,000,000
• Understand the concept of negative numbers
• Recognise Roman Numerals

Number- Addition and Subtraction 

• Know strategies for adding and subtracting mentally
• Know strategies for adding and subtracting numbers with more than 4 digits

Statistics

• Recognise data in different representations.  

Number – multiplication and division 

• Know factors and multiples of numbers.
• Recognise square numbers and cube numbers and the notation for squared (2) and cubed (3) 
• Identify prime numbers  - Establish whether a number up to 100 is prime and recall prime numbers up to 19

Perimeter and Area

• Understand the terms perimeter and area

MATHS – YEAR 5

SPRING TERM

Number (Multiplication and Division) – pupils will have the opportunity to develop the following skills:

• Multiplying and dividing numbers mentally drawing upon known facts
• Multiplying numbers up to 4 digits by a one or two digit number using a formal written method, including long multiplication for 2 digit numbers
• Dividing numbers up to 4 digits by a one digit number using the formal written method of short division and interpret remainders appropriately for the context
• Solving problems involving addition and subtraction, multiplication and division and a combination of these, including understanding the use of the equals sign

Number (Fractions) – pupils will have the opportunity to develop the following skills:

• Compare and order fractions whose denominators are multiples of the same number.
• Identify, name and write equivalent fractions of a given fraction, represented visually including tenths and hundredths.
• Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements >1 as a mixed number [for example 25 + 45 = 65 = 1 15 ]
• Add and subtract fractions with the same denominator and denominators that are multiples of the same number.
• Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams.
• Read and write decimal numbers as fractions [ for example 0.71 = 71100]
• Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

Number (Decimals and Percentages) - pupils will have the opportunity to develop the following skills:

• Read, write, order and compare numbers with up to three decimal places.
• Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.
• Round decimals with two decimal places to the nearest whole number and to one decimal place.
• Solve problems involving number up to three decimal places.
• Solve problems which require knowing percentage and decimal equivalents of 12, 14, 15, 25, 45 and those fractions with a denominator

Number (Multiplication and Division) – pupils will have the opportunity to develop their knowledge about:

• Strategies for multiplying and dividing mentally
• Strategies for multiplying up to 4 digits by a one or two digit number and dividing numbers with more than 4 digits by a 1 digit number

Number (Fractions) - pupils will have the opportunity to develop their knowledge about:

• Recognising equivalent fractions
• Strategies for ordering and comparing fractions
• Strategies for calculating with fractions (simple adding/subtracting, multiplying by whole numbers)
• Links between fractions and decimals

Number (Decimals and Percentages) - pupils will have the opportunity to develop their knowledge about:

• Place value in numbers with 3 decimal places
• The per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal.

MATHS – YEAR 5

SUMMER TERM

Throughout the term, pupils will have the opportunity to develop the following skills:

Number: Decimals

• Solve problems involving number up to three decimal places.
• Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000.
• Use all four operations to solve problems involving measure [ for example, length, mass, volume, money] using decimal notation, including scaling.

Geometry - Properties of Shapes and Angles

• Identify 3D shapes, including cubes and other cuboids, from 2D representations.
• Use the properties of rectangles to deduce related facts and find missing lengths and angles.
• Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
• Draw given angles, and measure them in degrees (o)

Geometry - position and direction

• 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.

Measurement - converting units

• Convert between different units of metric measure [for example, km and m; cm and m; cm and mm; g and kg; l and ml]
• Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints.
• Solve problems involving converting between units of time.

Measures: Volume

• Estimate volume [for example using 1cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
• Use all four operations to solve problems involving measure.

Pupils will have the opportunity to develop their knowledge about:

Number: Decimals

• Know strategies for calculating with decimals

Geometry - Properties of Shapes and Angles

• Recognise and describe 3D shapes

• Understand angles - Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles. Identify: angles at a point and one whole turn (total 360o), angles at a point on a straight line and ½ a turn (total 180o) other multiples of 90o

Geometry - position and direction

• Know the vocabulary of shape position

Measurement - converting units

• Know metric and imperial units

Measures: Volume

• Understand the concept of volume