National Curriculum

Year 5 Maths Plans

Hamilton's Y5 maths plans cover all of the statutory objectives of the National Curriculum for England for Year 5.

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. 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 Sheet allows 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.

Supporting documents for set
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Match Hamilton plans to blocks

This chart will help you if you are trying to use Hamilton Maths Plans and also teach in Blocks.  This is an interim stage for Hamilton, as for next year we shall have a completely new flexible planning tool which will enable you to create your own blocks.  Meantime, please look at the document carefully - it is three pages not one! 

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Number and place value

Compare and order negative numbers. Count back in steps through zero. Mental addition and subtraction of 1, 10, 100, 1000, 10,000 and 100,000 to and from six-digit numbers using place value. Place six-digit numbers on landmarked lines and empty lines. Round 6-digit numbers to the nearest 1000, 10,000, and 100,000.

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Place value and decimals

Read Roman numerals to 1000 (M) and recognise years written in Roman numerals. Revise 2-place decimals. Introduce 3-place decimals. Mental multiplication and division by 10, 100, 1000.

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Multiplication, division and percentages

Multiply and divide numbers mentally using known facts. Express remainders as fractions. Solve word problems. Understand percentages as parts of 100. Find simple %. Includes bar model examples.

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Angles and polygons

Measure and draw angles using a protractor. Recognise acute, obtuse and reflex angles. Know that angles on a straight line add up to 180° and use this to find missing angles. Know that angles around a point add up to 360° and use this to find missing angles. Draw polygons with given dimensions and angles.

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Fractions and subtraction

Use equivalence to compare and order fractions. Convert improper fractions to mixed numbers. Add and subtract fractions with related denominators. Add and subtract mixed numbers. Use written method column subtraction to subtract pairs of 5-digit numbers. Choose when to use counting up (Frog) or column subtraction.

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Multiplication and division

Find common multiples and common factors. Solve problems requiring scaling by simple fractions. Recognise and use square numbers and cube numbers. Use written short division to divide 4-digit numbers by single-digit numbers, including those which leave a remainder. Use short division to divide 4-digit numbers by single-digit numbers, expressing the remainders as fraction.

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Use written methods to multiply: short multiplication to multiply 4-digit numbers by single-digit numbers and grid method to multiply 2-digit numbers and 3-digit numbers by 2-digit numbers. Use long multiplication to multiply 2-digit numbers and 3-digit numbers by 2-digit numbers (one number less than 20).

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Time and data

Read timetables using the 24-hour clock. Calculate time intervals and find a given number of minutes or hours and minutes later. Draw and interpret line graphs and read intermediate points. Solve problems involving rate.

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Place value and subtraction

Understand place value in numbers with three decimal places. Convert between kilograms and grams, litres and millilitres, metres and kilometres. Compare and order numbers with three decimals and place on a line. Use written subtraction, counting up (Frog), to subtract numbers with one or two decimal places including money. Solve word problems. Check subtraction by using addition. Includes bar model examples.

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Multiplication and fractions

Use written long multiplication to multiply pairs of 2-digit numbers together where one number is less than 30 and to multiply a 3-digit number by a 2-digit number less than 30. Use rounding to estimate products. Multiply fractions by whole numbers, simplifying answers. Multiply mixed numbers by whole numbers.

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Use written column addition to add 4- and 5-digit whole numbers, decimals and money. Use written column subtraction of whole numbers and mental strategy of counting up (Frog) to subtract decimals including money. Choose a method to subtract. Use short division to divide 4-digit numbers, expressing remainders as fractions. Solve single and multi-step word problems, working out which calculation(s) are necessary. Understand and use equivalence.