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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Place value and addition

Understand place value in 5-digit numbers. Place 5-digit numbers on a line. Order and compare 5-digit numbers. Add and subtract 1, 10, 100, 1000, 10,000. Use written addition to add pairs of 4 digit numbers and pairs of 5-digit numbers. Methods used include, expanded and compact column addition. Includes bar model examples.

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Decimals, addition and money

Understand place value in numbers with two decimal places; divide by 10 and 100 to give answers with two decimal places; multiply numbers with 2 decimals by 10 and by 100; place two-place decimal numbers on a number line; compare and order numbers with two decimal places; add amounts of money using column addition; use using rounding to check answers. Methods used include place value grids, expanded and compact column addition.

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Find change from £20, £50 and £100 using counting up; find a difference between two amounts of money by counting up; use column subtraction to subtract pairs of 4-digit numbers and to subtract 3-digit numbers from 4-digit numbers; choose whether to use counting up or column subtraction to subtract pairs of four-digit numbers. Methods used include expanded decomposition, compact decomposition and Frog / counting up subtraction. Includes bar model examples.

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Shape: properties of shapes

Identify, visualise and describe properties of 3D shapes including pyramids and prisms; use these properties to sort 3D shapes; describe properties of 2D shapes. Recognise and describe properties of polygons; classify quadrilaterals. Sort shapes using Venn diagrams, shape investigations and use technical vocabulary associated with 3D shapes.

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Multiplication, division and fractions

Use knowledge of times tables facts to help find common multiples, sort using Venn diagrams; find factor of two-digit numbers; divide mentally, deciding whether to round up or down depending on the context; find equivalent fractions; compare fractions with related denominators; simplify fractions using factors. Solve word problems involving division. Includes bar model examples.

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Place value and multiplication

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; revise using grid multiplication to multiply 3-digit numbers by single-digit numbers; use short multiplication to multiply 3-digit numbers by single-digit numbers; use short multiplication to multiply 4-digit numbers by single-digit numbers. Methods used include landmarked number lines, written multiplication using grid method and short multiplication.

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Multiplication and division

Use rules of divisibility; find prime numbers less than 50; use a written method to divide numbers above the times tables; round up or down after division according to the context; use multiplication to check division and simplify fractions. Methods used include sorting multiples using Carroll diagrams, written division: chunking

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Place value, decimals and subtraction

Understand place value in numbers with two decimal places; count on and back in steps of 0.1 and 0.01; add and subtract multiples of 0.1 or 0.01 without crossing multiples of 0.1 or 1; find a difference between a number with one or two decimal places and whole number by counting up, e.g. 5 – 3.6 or 5 – 3.65; subtract decimals with one or two decimal places by counting up from the smaller to the larger number e.g. 4.2 – 2.65. Methods used include Frog / counting up subtraction. Includes bar model examples.

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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; calculate time intervals.

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Write improper fractions as mixed numbers and vice versa; compare and order fractions with related denominators; add and subtract fractions with related denominators; find fractions of amounts. Methods used include written division; chunking. Includes bar model examples.

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Addition, subtraction and multiplication

Use place value to add and subtract; add and subtract near multiples; add pairs of five-digit numbers (five-digit answers); use rounding to check; subtract pairs of five-digit numbers; use short multiplication to multiply three-digit numbers by single-digit numbers including amounts of money, e.g. 3 × £4.56. Methods used include expanded and compact decomposition to subtract, compact column addition, short multiplication and grid method to multiply.