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### Maths Curriculum

We are currently building this page with the aims for each year group.

Please click on the year group to see more.

• Year 3

Number and Place Value

• Efficiently calculate number bonds to 100 mentally
• Round numbers to the nearest 10 and 100
• Recognise, partition, order and use different representations to explore the structure of numbers up to and bridging 100 and use their understanding to investigate numbers to 1000
• Increase our confidence in counting in multiples of 2, 3, 4, 5, 8, 10, 50 and 100 and applying known facts and knowledge to word problems.
• Estimate whether answers are sensible according to what we know already
• Use mental methods to add and subtract ones, tens and hundred from a three-digit number.
• Continue to investigate the relationships between the inverse relationship of addition and subtraction including missing numbers
• Solve number problems and practical problems involving these ideas including working with units of measure.
• Begin to explore efficient mental methods using commutive and associative law with the use of concrete resources to expose the underlying structure of the concept (for example, 4 × 12 × 5 = 4 × 5 × 12 = 20 × 12 = 240) and multiplication and division facts (for example, using 3 × 2 = 6, 6 ÷ 3 = 2 and 2 = 6 ÷ 3)
• Create and calculate equations that link in some ways by using known facts and spotting patterns and related facts (for example, 30 × 2 = 60, 60 ÷ 3 = 20 and 20 = 60 ÷ 3).
• Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects including measure and scale.
• Investigate multiplicative and additive relationships with scaling and measure and represent them in different contexts and pictures.
• Measure, compare and calculate lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) and money £ and p.

Fractions

• Investigate the relationship of part of a whole and equal parts of a whole and that a fraction is a whole that is divided into equal parts
• Generalise that the larger the denominator the smaller the equal part of the fraction and apply this knowledge to order fractions
• Count up and down in halves, quarters, thirds, fifths and tenths and recognise and represent them in many contexts
• Explore unit fractions and non-unit fractions and explore and compare their structure using different representations.
• Recognise and order fractions as numbers and as operators – using number lines and multiple representations in context of shape, measure and time.
• Begin to explore equivalent fractions using diagrams and concrete resources
• Compare parts to the whole and part to part including addition and subtraction of fractions with the same denominator within and including one whole.
• Continue to recognise fractions in the context of parts of a whole, numbers, measurements, a shape, and unit fractions as a division of a quantity.

Measurement of Time

• Read and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour digital clocks
• Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight
• Know the number of seconds in a minute and the number of days in each month, year and leap year
• Compare durations of events [for example to calculate the time taken by particular events or tasks].

Geometry - properties of shapes

• Compare, classify and draw 2-D shapes and make 3-D shapes using modelling materials
• Measure the perimeter of simple 2-D shapes
• Recognise, order and compare obtuse, acute and right angles
• Use number facts and bonds to find angles in missing number problems
• Identify horizontal and vertical lines and pairs of perpendicular and parallel lines
• Identify symmetrical and non- symmetrical polygons and polyhedra

Statistics

• Interpret and present data using bar charts, pictograms and tables
• Solve one and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables
• Year 4

Number and Place Value

• Efficiently calculate number bonds to 100, 1000 mentally
• Round numbers to the nearest 10, 100 and 1000 including rounding to one decimal place and rounding decimals (money)
• Count backwards through zero to include negative numbers
• Recognise, partition, order and use different representations to explore the structure of numbers up to and bridging 1000 and use their understanding to investigate numbers to 10000
• Consider decimals in the number system and how they relate to being part of a whole
• Confidently count in multiples of 2, 3, 4, 5, 6, 7,  8, 9, 10,11, 12,  50 and 100 and applying known facts and knowledge to word problems.
• Estimate whether answers are sensible according to what we know already
• Use mental methods to add and subtract ones, tens, hundreds and thousands from a four-digit number
• Continue to investigate the relationships between the inverse relationship of addition and subtraction including missing numbers
• Solve number problems and practical problems involving these ideas including working with units of measure
• Begin to explore efficient mental methods using commutive and associative law with the use of concrete resources to expose the underlying structure of the concept (for example, 4 × 12 × 5 = 4 × 5 × 12 = 20 × 12 = 240) and multiplication and division facts (for example, using 3 × 2 = 6, 6 ÷ 3 = 2 and 2 = 6 ÷ 3)
• Create and calculate equations that link in some ways by using known facts and spotting patterns and related facts (for example, 300 × 2 = 600, 600 ÷ 30= 20 and 20 = 600 ÷ 30)
• Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects including measure and scale.
• Introduce children to tenths using both the partitioning structure and ideas of place value; apply additive facts and strategies, including column algorithms, and rounding to numbers with tenths.
• Investigate multiplicative and additive relationships with scaling and measure and represent them in different contexts and pictures
• Measure, compare and calculate lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) and money £ and p.  Begin to investigate relationship between 10,100,1000 to conversion of measure
• Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.
• Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
• Recognise and use factor pairs and commutativity in mental calculations
• Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
• Pupils write statements about the equality of expressions (for example, use the distributive law 39 × 7 = 30 × 7 + 9 × 7 and associative law (2 × 3) × 4 = 2 × (3 × 4))
• Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

Fractions (including decimals)

• Continue to investigate the relationship of part of a whole and equal parts of a whole and that a fraction is a whole that is divided into equal parts
• Generalise that the larger the denominator the smaller the equal part of the fraction and apply this knowledge to order fractions
• Extend the use of the number line to connect fractions, numbers and measures
• Count up and down in halves, quarters, thirds, fifths, tenths, hundredths and recognise and represent them in many contexts including investigation equivalent decimal notation for tenths and hundredths
• Explore unit fractions (1/5) and non-unit fractions (2/5) and explore and compare their structure using different representations
• Recognise and order fractions as numbers and as operators – using number lines and multiple representations in context of shape, measure and time
• Begin to explore equivalent fractions using diagrams and concrete resources drawing from knowledge of multiples and factors
• Compare and represent parts to the whole and part to part including addition and subtraction of fractions with the same denominators within and including one whole.
• Investigate the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
• solve simple measure and money problems involving fractions and decimals to two decimal places

Measurement

• Convert between different units of measure [for example, kilometre to metre; hour to minute]
• Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
• Find the area of rectilinear shapes by counting squares and linking to factors, arrays and multiples
• Read, write and convert time between analogue and digital 12- and 24-hour clocks including secure number bonds to 60
• solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days

Geometry - properties of shapes

• Compare and classify shapes using geometrical properties, extending to classifying different triangles (for example, isosceles, equilateral, scalene) and quadrilaterals (for example, parallelogram, rhombus, trapezium)
• Identify acute and obtuse angles and compare and order angles up to two right angles by size
• Identify lines of symmetry in 2-D shapes presented in different orientations and complete a symmetric figure with respect to a specific line of symmetry
• Complete a simple symmetric figure with respect to a specific line of symmetry
• Describe and draw  positions on a 2-D grid as coordinates in the first quadrant
• Describe movements between positions as translations of a given unit to the left/right and up/down
• Plot specified points and draw sides to complete a given polygon

Statistics

• Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs ensuring appropriate use of scale and accurate reading of scale
• Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
• Year 5

Number and Place Value

Fractions

Measurement of Time

Geometry - properties of shapes

Statistics

• Year 6

Number and Place Value

Fractions

Measurement of Time

Geometry - properties of shapes

Statistics

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