Maths Curriculum
Slideshow
We are currently building this page with the aims for each year group.
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- 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
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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
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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