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 negative numbers

Year 5: Know what each digit represents in 6-digit numbers. Use place value to add and subtract. Compare numbers up to 1 million, use < and > signs. Place 6-digit numbers on number lines and round to the nearest 100 or 1000. Use negative numbers in context of temperature; calculate rises and falls in temperature. Year 6: Know what each digit represents in 7-digit numbers. Use place value to add and subtract. Compare numbers up to 10 million, use < and > signs. Place 7-digit numbers on number lines and round to the nearest 10,000, 100,000 or 1,000,000. Use negative numbers in context of temperature; calculate rises and falls in temperature. Calculate intervals across zero.

2
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Mental addition and subtraction including money

Year 5: Use place value to add and subtract. Add and subtract near multiples of 100 and 1000.Use counting up (Frog) to subtract four digit-numbers from multiples of 1000, to find change from £100 and differences between amounts of money. Use column addition to add amounts of money. Year 6: Add and subtract near multiples of integers including decimals (e.g. +/- 0 2.99, 3.02). Use knowledge of the order of operations and brackets to carry out calculations. Solve addition and subtraction multi-step word problems, including finding change. Includes bar model examples.

3
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Place value and addition of decimals

Year 5: Use place value to add and subtract numbers with 1 or 2 decimal places. Multiply and divide by 10, 100 and 1000. Round numbers with 2 decimal places to the nearest whole and tenth. Use written addition to add pairs of numbers with 1, 2 or 1 and 2 decimal places. Use rounding to estimate totals. Begin to add three numbers with 2 decimal places. Year 6: Use place value to add and subtract numbers with 3 decimal places. Multiply and divide by 10, 100 and 1000. Round numbers with 3 decimal places to the nearest whole, tenth and hundredth. Use written addition to add numbers with 3 decimal places. Use rounding to estimate totals.

4
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Co-ordinates and statistics

Year 5 Plot points and draw polygons in two quadrants; Work out new co-ordinates after a translation or reflection. Draw a line graph and read intermediate points. Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Year 6: Plot points and draw polygons in all four quadrants. Work out new co-ordinates after a translation or reflection. Construct and interpret pie charts. Draw a line graph and read intermediate points. Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints.

5
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Mental multiplication and division; written multiplication

Year 5: Find lowest common multiples and highest common factors. Use mental strategies including using factors to multiply and divide by 5, 20, 6, 4 and 8. Use short multiplication to multiply 4-digit numbers by 1-digit numbers. Use rounding to approximate products. Year 6 Objectives: Solve problems involving rate. Solve problems by scaling up or down; Multiply and divide numbers with up to 2dp, e.g. 0.4 × 6, 3.5 ÷ 7, 5 × 0.03, 0.15 ÷ 3. Use long multiplication to multiply 3-digit then 4-digit numbers by numbers between 10 and 35. Use rounding to approximate.

6
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Fractions, decimals, percentages and mean

Year 5: Compare fractions with related denominators using equivalence. Know decimal equivalents for halves, quarters, fifths, tenths and hundredths. Find unit and non-unit fractions of amounts. Find fractions, multiply and divide to solve word problems. Year 6: Compare fractions with unrelated denominators using equivalence. Know decimal equivalents for halves, quarters, fifths, eighths, tenths and hundredths. Recognise equivalent fractions, decimals and percentages. Find percentages of amounts. Use mental division strategies to find non-unit fractions of amounts. Calculate and interpret the mean as an average. Includes bar model examples.

7
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Written division; multiplying and dividing fractions

Year 5: Multiply unit and non- unit fractions by whole numbers, writing any improper fractions as mixed numbers. Use short division to divide 3-digit numbers by single-digit numbers. Year 6: Multiply pairs of fractions together. Divide fractions by whole numbers. Use long division to divide 3-digit numbers by 2-digit numbers.

8
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Perimeter, area and volume

Year 5: Find the perimeters of rectangles and composite shapes, working out the missing lengths of sides in order to find perimeters. Find the area of rectangles including squares. Estimate then count to find the area of irregular shapes. Calculate the area from scale drawings. Estimate and find the volume of shapes by making it with cm cubes. Year 6 Find the area of triangles and parallelograms, beginning to use formulae. Recognise that shapes with the same areas can have different perimeters and vice versa. Find volumes of cubes and cuboids.

9
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Place value, subtraction, scaling, ratio, percentages

Year 5: Understand place value in 6-digit numbers, place on lines, round to the nearest 10, 100, 1000, 10,000 or 100,000, order and compare, place a number in between. Use place value to add and subtract. Use decomposition to subtract pairs of 5-digit numbers and 4-digit numbers from 5-digit numbers. Solve word problems. Year 6: Solve problems involving similar shapes where the scale factor is known or can be found. Describe ratios and solve problems involving unequal quantities. Use fractions and percentages to describe proportions. Includes bar model examples.

10
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Number, subtraction and algebra

Year 5: Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000. Place numbers with two decimal places on a line, round to the nearest tenth or whole. Use counting up to subtract pairs of numbers with the same number, then different number of decimal places, to find change and differences in prices. Solve subtraction word problems. Year 6: Multiply and divide whole numbers by 10, 100 and 1000. Understand and use simple formulae. Solve simple equations. Find pairs of numbers that satisfy an equation with two unknowns. Generate and describe linear number sequences. Includes bar model examples.

11
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Written multiplication and division; mental/ written addition and subtraction

Year 5: Use short multiplication to multiply 4-digit numbers (including amounts of money) by single-digit numbers. Use short division to divide 4-digit numbers by single-digit numbers. Use column addition to add and subtract 4-digit and 5-digit numbers. Add and subtract numbers mentally with increasingly large numbers. Year 6: Use short multiplication to multiply 4-digit numbers by single-digit numbers. Use short division to divide 4-digit numbers by single-digit numbers; divide any remainders to give fractions, decimals, decide whether to round up or down. Use long multiplication to multiply 3-digit numbers, then 4-digit numbers by numbers between 10 and 35. Use rounding to approximate. Use long division to divide 3-digit numbers, then 4-digit numbers by 2-digit numbers.