National Curriculum

Year 4/5 Maths Plans

These plans cover the statutory objectives of the National Curriculum for England for Year 4 and 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. These are organised as much as possible congruently so that you are addressing the same objectives with both year groups. 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, Problem-solving investigations or NNS-examples select Year 4 or Year 5 on the red bar above.

Supporting documents for set
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Number, place value and Roman numerals

Year 4 Use place value to add/subtract to/from 4-digit numbers. Place 4-digit numbers on a line and round to the nearest 10, 100 or 1000. Write Roman numerals to 100. Count on and back in steps of 25 and 1000. Year 5: Add and subtract 1, 10, 100, 1000, 10,000 and 100,000 to/from six-digit numbers. Place six-digit numbers on landmarked lines and empty lines, and round to the nearest 1000, 10,000, and 100,000. Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

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Number, place value and decimals

Year 4: Mark numbers with 1 decimal place on an empty number line and round to the nearest whole. Know what each digit stands for in numbers with 2 decimal places and write place value related additions and subtractions. Multiply and divide by 10 and 100 to give tenths and hundredths. Know equivalent 0.1s and 1/10s, and 0.01s and 1/100s. Year 5: Compare and order negative numbers. Count back in steps through zero. Revise 2-place decimals. Introduce 3-place decimals. Multiply/divide by 10, 100, 1000.

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Mental multiplication and division, percentages, scaling and correspondence problems

Year 4: Find factors of numbers less than 50; Use times tables and place value to divide multiples of 10, e.g. 350 ÷ 7. Use factors to carry out mental multiplication. Find the product of 3 single-digit numbers using commutativity to help. Solve scaling problems (by whole number factors). Convert from centimetres to metres. Solve correspondence problems. Year 5: Multiply and divide numbers mentally using known facts. Express remainders as fractions. Solve word problems. Understand percentages as parts of 100 and find simple percentages. Includes bar model examples.

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Angles and polygons

Year 4: Complete shapes with respect to a line of symmetry. Recognise and compare acute and obtuse angles and angles of 90 degrees. Compare and classify triangles and quadrilaterals, based on properties including types of angles. Year 5: 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 that angles around a point add up to 360°, use this to find missing angles. Draw polygons with given dimensions and angles.

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Decimals, addition and subtraction

Year 4: Compare, order, and place numbers with 2 decimal places on landmarked lines. Count on/back in tenths and hundredths. Add/subtract 0.1/0.01 then multiples of the same to/from numbers with 2 decimal places. Solve simple measure problems using place value in lengths in metres with 2 decimal places. Year 5: 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 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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Fractions and division

Year 4: Identify equivalent fractions, including decimals. Find non-unit fractions of amounts. Solve fraction word problems. Divide two-digit numbers by single-digit numbers, answers less than 30. Year 5: 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 short division to divide 4-digit numbers by single-digit numbers, including those which leave a remainder, including expressing the remainders as fractions. Includes bar model examples.

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Mental multiplication, mental and written subtraction

Year 4: Use compact decomposition to subtract three-digit numbers. Use expanded then compact decomposition to subtract pairs of four-digit numbers. Use compact decomposition to subtract three- and four-digit numbers from four-digit numbers. Use counting up (Frog) to subtract pairs of four-digit numbers. Choose a strategy to subtract pairs of four-digit numbers depending on the numbers involved. Year 5: Find common multiples and common factors. Solve problems requiring scaling by simple fractions. Recognise and use square numbers and cube numbers; Use column subtraction to subtract pairs of 5-digit numbers. Choose when to use counting up (Frog) or column subtraction.

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Addition, subtraction and written multiplication

Year 4: Use decomposition to subtract any pair of four-digit numbers, including those needing 3 moves. Add any pair of 4-digit numbers using compact addition. Add and subtract near multiples of 10, 100 and 1000 to/from 3- and 4-digit numbers; Choose mental or written methods to add and subtract. Solve word problems involving addition and subtraction. Year 5: Use short multiplication to multiply 4-digit numbers by single-digit numbers. Use grid method then long multiplication to multiply 2-digit numbers and 3-digit numbers by 2-digit numbers (one number less than 20 for long multiplication). Includes bar model examples.

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Time, data and rate

Year 4: Read the 24-hour clock converting times to am and pm, both digital and analogue formats. Find time intervals using 24-hour clock. Read, draw, interpret and describe a time graph. Convert between units of time. Year 5: 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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Measures, data, written multiplication and fractions

Year 4: Measure lengths in m, cm and mm. Convert between km, m, cm and mm. Measure weight in kg and g to one decimal place. Convert between kg and g and make sensible estimations. Measure objects and record in tables, represent and interpret data in bar charts.  Year 5: Use long multiplication to multiply pairs of 2-digit nos. together where one number is less than 30, and then 3-digit numbers by 2-digit numbers less than 30. Use rounding to estimate products. Multiply fractions and mixed numbers by whole numbers, simplifying answers.

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Calculation (all four operations)

Year 4: Use the ladder method to multiply 3-digit numbers by single-digit numbers, estimating answers first. Solve word problems requiring multiplication or division. Choose mental or written method to solve a range of calculations, all four operations. Choose which operations(s) are necessary to solve word problems. Year 5: Use column addition to add 4- and 5-digit whole numbers, decimals and money. Use column subtraction of whole numbers and 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. Includes bar model examples.