Autumn 1 Autumn 2

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  Read and write numbers with one decimal place.
  
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  Count on and back in 0.1s, 1s, 10s or 100s from any number up to 10,000.
  
• 
  Count forwards and backwards in equal steps and describe any patterns in the sequence.
  
• 
  Order a set of random numbers to at least 10,000 including amounts of money and measures involving decimals.
  
• 
  Recall addition and subtraction facts for 100.
  

• 
  Recall multiplication facts for 2, 3, 4, 5, 6, 8 and 9x tables
  

• 
  Identify patterns of similar calculations, e.g. if I know 7 x 8, I also know 0.7 x 0.8, 70 x 8, 70 x 80 etc
  
• 
  Multiply and divide numbers by 10, including those which have answers to one decimal place.
  
• 
  Double any multiple of 10 or 100.
  
• 
  Count in fraction steps, e.g. ¹/₅, ²/₅, ³/₅ …
  

• 
  Recognise 2D and 3D shapes in different orientations and describe them.
  
• 
  Use a variety of sorting diagrams to compare and classify numbers and geometric shapes based on their properties.
  
• 
  Identify right angles and acute and obtuse angles.
  
• 
  Estimate and compare lengths, volumes/capacities and masses.
  
• 
  Read measuring scales to an appropriate degree of accuracy.
  
• 
  Convert between different units of measure.
  
• 
  Describe positions on a square grid labelled with letters and numbers.
  
• 
  Tell and write the time from an analogue clock and 12 and 24-hour clocks.
  
• 
  Calculate time durations in minutes, hours and days.
  

• 
  Interpret data in bar charts, pictograms and tables.
  

Y4 – A1, A3

Y5 – A1

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  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.
  
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  Count in multiples of 6, 8, 25 and 1000.
  
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  Count backwards through zero to include negative numbers.
  
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  Order temperatures including those below 0˚C.
  
• 
  Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps.
  

Y4 – E1, E2, E3

Y5 – E1, E2, E3

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  Understand that a fraction is one whole number divided by another (for example, can be interpreted as 3 ÷ 4)
  

• 
  Add and subtract fractions with the same denominator.
  
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  Recognise and show, using diagrams, families of common equivalent fractions.
  
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  Recognise and write decimal equivalents of any number of tenths or hundredths.
  
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  Recognise and write decimal equivalents to ¼ ; ½ ; ¾ .
  
• 
  Count on and back in steps of unit fractions.
  
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  Compare and order unit fractions and fractions with the same denominator (including on a number line) (continued from Year 3)
  

Children should use factors and multiples to recognise equivalent fractions and simplify where appropriate.

Children learn that to convert a fraction into a decimal, an equivalent fraction with a denominator of 10 or 100 is required.

Children relate the fractions tenths and hundredths to our Base 10 number system.

Y4 – E3

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  Recognise, find and write fractions of a discrete set of objects including those with a range of numerators and denominators.
  
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  Select a mental strategy appropriate for the numbers involved in the calculation.
  

• 
  Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
  

• 
  Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number.
  
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  Solve simple measure and money problems involving fractions and decimals to two decimal places.
  

When children are calculating fractions of amounts, this should be in a context e.g. length, money, time to consolidate previous learning. Children should learn that finding fractions is division by sharing and the activities should reflect this. Later, children should learn that grouping is a more efficient method of performing written division, even in contexts of sharing.

When calculating, children should learn which methods suit the numbers involved and why.

Written methods should be agreed by the school and shared in the progression in written calculations policy. Efficient written methods are required to be taught by the end of Key Stage 2.

Y5 – D1, B2, D3

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  Describe positions on a 2-D grid as coordinates in the first quadrant.
  
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  Describe movements between positions as translations of a given unit to the left/right and up/down.
  
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  Plot specified points and draw sides to complete a given polygon.
  
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  Complete a simple symmetric figure with respect to a specific line of symmetry.
  

Translations are introduced and children’s learning of symmetry is extended from identifying lines of symmetry in shapes to completing symmetric figures using a specific line of symmetry. This could be vertical, horizontal or oblique, depending on children’s ability.

Y4 – D3

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  Understand that area is a measure of surface within a given boundary.
  
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  Find the area of rectilinear shapes by counting squares.
  

NB –rectilinear shapes are ones made up of sides meeting at right angles.

Children should relate area to arrays and multiplication.

Y4 – A2, D2, A3, B3, D3

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  Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate.
  

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  Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method).
  

• 
  Estimate and use inverse operations to check answers to a calculation.
  
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  Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.
  

Calculations are presented in different contexts of money and measures to consolidate these areas and support children in understanding when to use their calculation skills.

When calculating, children should learn which methods suit the numbers involved and why.

Written methods should be agreed by the school and shared in the progression in written calculations policy. Efficient written methods are required to be taught by the end of Key Stage 2.

• 
  Read and write numbers with one decimal place.
  
• 
  Count on and back in 0.1s, 1s, 10s or 100s from any number up to 10,000.
  
• 
  Count forwards and backwards in equal steps and describe any patterns in the sequence.
  
• 
  Order a set of random numbers to at least 10,000 including amounts of money and measures involving decimals.
  
• 
  Recall addition and subtraction facts for 100.
  

• 
  Recall and use addition and subtraction facts for multiples of 100 totalling 1000.
  
• 
  Derive and use addition and subtraction facts for 1 and 10 (with decimal numbers to one decimal place).
  
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  Use partitioning to double or halve any number, including decimals to one decimal place.
  

• 
  Recall multiplication facts for all times tables other than 12x and derive associated division facts.
  
• 
  Identify patterns of similar calculations, e.g. if I know 7 x 8, I also know 0.7 x 0.8, 70 x 8, 70 x 80 etc
  
• 
  Multiply and divide numbers by 10, including those which have answers to one decimal place.
  
• 
  Count in fraction steps, e.g. ¹/₅, ²/₅, ³/₅ …
  

• 
  Recognise 2D and 3D shapes in different orientations and describe them.
  
• 
  Use a variety of sorting diagrams to compare and classify numbers and geometric shapes based on their properties.
  
• 
  Identify right angles and acute and obtuse angles.
  
• 
  Estimate and compare lengths, volumes/capacities and masses.
  
• 
  Read measuring scales to an appropriate degree of accuracy.
  
• 
  Convert between different units of measure.
  
• 
  Describe positions on a 2-D grid as coordinates in the first quadrant.
  
• 
  Tell and write the time from an analogue clock and 12 and 24-hour clocks.
  
• 
  Calculate time durations in minutes, hours and days.
  
• 
  Interpret continuous data presented in time graphs.
  

Y4 – A1, B1, E2

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  Recall multiplication and division facts for the 7 times table and 11 times table.
  
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  Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers.
  
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  Recognise and use factor pairs and commutativity in mental calculations.
  

• 
  Use partitioning to double or halve any number, including decimals to one decimal place.
  

• 
  Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method).
  
• 
  Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
  
• 
  Select a mental strategy appropriate for the numbers involved in the calculation.
  

• 
  Continue to understand division as sharing and grouping and use each appropriately.
  
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  Divide numbers up to 3 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context.
  

Children should apply their learning of the 7 and 11 times tables when calculating mentally.

When calculating, children should learn which methods suit the numbers involved and why.
Written methods should be agreed by the school and shared in the progression in written calculations policy. Efficient written methods are required to be taught by the end of Key Stage 2.

Y3 – A2, A3

Y4 – A1, A3

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  Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones).
  
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  Order and compare numbers beyond 1000.
  
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  Identify, represent and estimate numbers using different representations, including the number line.
  

• 
  Identify the value of each digit to two decimal places.
  

• 
  Find 0.1, 1, 10, 100 or 1000 more or less than a given number.
  
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  Round any number to the nearest 10, 100 or 1000.
  
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  Solve number and practical problems that involve all of the above and with increasingly large positive numbers.
  

Many of these place value objectives can be applied through the context of data, realising that the one axis on a bar chart is a number line.

Y4 – A2, D2, E2, A3, E3

Y5 – E1, D2

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  Count in multiples of 7.
  
• 
  Multiply two-digit and three-digit numbers by a one-digit number using formal written layout.
  

• 
  Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method).
  
• 
  Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
  

• 
  Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, division (including remainders), integer scaling problems and harder correspondence problems such as which n objects are connected to m objects.
  

Calculations are presented in different contexts to support children in understanding when to use their calculation skills. Converting between weeks and days allows children to rehearse their 7 times table knowledge.

When calculating, children should learn which methods suit the numbers involved and why.
Written methods should be agreed by the school and shared in the progression in written calculations policy. Efficient written methods are required to be taught by the end of Key Stage 2.

Y4 – B1, B2, B3, D2, D3

Y5 – B1, B2, B3, D1, D2, D3

• 
  Use a variety of sorting diagrams to compare and classify numbers and geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
  
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  Continue to identify horizontal and vertical lines and pairs of perpendicular and parallel lines.
  
• 
  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.
  
• 
  Describe positions on a 2-D grid as coordinates in the first quadrant.
  
• 
  Plot specified points and draw sides to complete a given polygon.
  

They draw 2-D shapes on coordinate grids, combining their knowledge of properties of shapes and coordinate principles.

Y4 – A2, D2, A3, B3, D3

Y5 – C1, C2, C3

Y6 – C1, C2, C3

• 
  Add and subtract numbers with up to 4 digits and decimals with one decimal place using the formal written methods of columnar addition and subtraction where appropriate.
  
• 
  Interpret discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
  
• 
  Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
  

Calculations are presented in different contexts of data.