National Curriculum

Year 5/6 Maths Plans

These plans cover the statutory objectives of the National Curriculum for England for Year 5 and Year 6. 

The Coverage Chart shows you where. The Medium Term Plan lists each week's teaching focus, activities, starter and National Curriculum outcomes cross-referenced to the Hamilton Assessment Plan. These are organised as much as possible congruently so that you are addressing the same objectives with both year groups. There are problem-solving investigations linked to each week’s teaching available in the left hand navigation bar. The Resource List provides a comprehensive list of physical resources suggested by the Hamilton plans. The Outcomes Sheets allow you to record quick day-to-day judgements about children's mastery of objectives in the back of their maths books. Answers to exercises appear at the end of each week's resources document. 

For Homework, Starters or NNS-examples select Year 5 or Year 6 on the red bar above.

Supporting documents for set
  • Week
  • Title
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1
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Place value and written addition

Year 5: Understand place value in 5-digit numbers. Place 5-digit numbers on a landmarked line. Compare 5-digit numbers. Add and subtract 1s, 10s, 100s, 1000s and 10,000s. Use compact column addition to add pairs of 4-digit numbers and pairs of 5-digit numbers. Year 6: Understand place value in 6-digit numbers. Place 6-digit numbers on a line. Compare 6-digit numbers. Add and subtract 1s, 10s, 100s, 1000s, 10,000s and 100,000s. Use compact column addition to add pairs of 5-digit numbers. Includes bar model examples.

2
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Decimals and written addition

Year 5: Understand place value in numbers with 2 decimal places, compare and order. Multiply and divide by 10 and 100 to give answers with 1 or 2 decimal places. Use compact column addition to add amounts of money, rounding to approximate. Year 6: Understand place value in numbers with 3 decimal places and compare, order and begin to round to the nearest whole, 0.1 or 0.01. Multiply and divide by 10, 100 and 1000 to give answers with 0, 1, 2 or 3 decimal places. Use compact column addition to add 2 or 3 amounts of money or numbers with 2 decimal places in a measures context, e.g. metres, rounding to approximate.

3
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Subtraction

Year 5: Find change from £20, £50 and £100 and a difference between two amounts of money using counting up subtraction (Frog). Use expanded or compact decomposition to subtract pairs of 4-digit numbers and to subtract 3-digit numbers from 4-digit numbers. Choose whether to use counting up (Frog) or decomposition to subtract pairs of 4-digit numbers. Year 6: Add several prices, then find change from £20, £50 and £100 and a difference between two amounts of money using counting up subtraction (Frog). Use compact decomposition to subtract pairs of 5-digit numbers and to subtract 3-digit and 4-digit numbers from 5-digit numbers. Choose whether to use counting up (Frog) or decomposition to subtract pairs of 5-digit numbers. Includes bar model examples.

4
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2D Shape and mental multiplication

Year 5: Recognise and describe properties of polygons. Classify quadrilaterals. Recognise multiples and use rules of divisibility. Find factors of two-digit numbers. Year 6: Classify and sort quadrilaterals. Name parts of circles (radius, diameter, circumference) and know that the diameter is twice the radius. Find unknown angles in any triangle, quadrilaterals, and regular polygons, around a point, on a straight line or vertically opposite.

5
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Mental multiplication and fractions

Year 5: Use knowledge of times tables facts to help find common multiples and factors of two-digit numbers. Find prime numbers less than 50. Find equivalent fractions; compare fractions with related denominators; simplify fractions using factors and find unit and non-unit fractions of amounts. Year 6: Find common multiples and factors, prime numbers, numbers which have a pair of prime factors. Find equivalent fractions; simplify fractions using multiples and factors; compare and order fractions with unrelated denominators. Find unit and non-unit fractions of amounts. Includes bar model examples.

6
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Place value and written multiplication

Year 5: Place 4-digit numbers on a line and round to the nearest 10, 100 or 1000. Place 5-digit numbers on a line and round to the nearest 10, 100, 1000 or 10,000. Use the grid method then short multiplication then to multiply 3-digit numbers by single-digit numbers. Year 6: Place 5-digit numbers on a line and round to the nearest 10, 100 or 1000. Place 6-digit numbers on a line and round to the nearest 10, 100, 1000, 10,000 or 100,000. Use short multiplication to multiply 4-digit numbers and 4-digit amounts of money by single-digit numbers. Use rounding to approximate.

7
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Fractions, multiplication and division

Year 5: Write improper fractions as mixed numbers and vice versa. Use a written method to divide numbers above the times tables. Solve division word problems; round up or down after division according to the context. Year 6: Recognise fraction and decimal equivalents. Use short division to divide 3-digit and 4-digit numbers by 1-digt numbers and by 11 and 12; including fraction parts of answers, e.g. 23¾, simplify fractions or write as decimals, e.g. 23.75. Solve division word problems (including answers with fractions); round up or down after division.

8
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Place value, decimals and subtraction

Year 5: Understand place value in numbers with two decimal places. Add and subtract 0.1 and 0.01, and multiples of 0.1 or 0.01 without crossing multiples of 0.1 or 1; Subtract numbers with one or two decimal places by counting up from the smaller to the larger number (Frog). Year 6: Understand place value in numbers with three decimal places. Add and subtract multiples of 0.1, 0.01 or 0.001. Subtract numbers with one or two decimal places by counting up from the smaller to the larger number (Frog). Includes bar model examples.

9
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Measures

Year 5: Convert between grams and kilograms, millilitres and litres (mainly to one decimal place). Convert between metres and kilometres. Know approximate conversions between common imperial units used in daily life and metric units. Begin to draw line graphs and read intermediate points. Read timetables using the 24-hour clock and calculate time intervals. Year 6: Convert between grams and kilograms, millilitres and litres (up to 3 decimal places). Convert between metres and kilometres. Know approximate conversions between common imperial units used in daily life and metric units. Draw line graphs and read intermediate points. Read timetables using the 24-hour clock and calculate time intervals and add lengths of times.

10
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3D shape and fractions

Year 5: Identify, visualise and describe properties of 3D shapes and use these properties to sort 3D shapes. Compare and order fractions with related denominators. Add and subtract fractions with related denominators. Year 6: Identify, describe and build 3D shapes using nets. Compare and order fractions with unrelated denominators. Use common multiples to express fractions in the same denomination; Add and subtract fractions and mixed numbers with unrelated denominators.

11
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Mental and written calculation

Year 5: Use place value to add and subtract; add and subtract near multiples. Use column addition and subtraction to add and subtract pairs of five-digit numbers (five-digit answers); use rounding to check. Use short multiplication to multiply three-digit numbers by single-digit numbers including amounts of money, e.g. 3 × £4.56. Year 6: Use grid multiplication to multiply 3-digit numbers by 2-digit numbers. Use long multiplication to multiply 3-digit numbers by numbers between 10 and 20, then between 20 and 30. Solve a mix of +, -, × and ÷ mental and written calculations. Choose which operations are necessary to solve single-step and multi-step word problems.