Teacher support for Maths
Hamilton has a range of additional reference and advice materials for Maths.
New Curriculum Maths Support
Example Calculation Policy
Addition and Subtraction Methods
Multiplication and Division Methods
Key Skills to Go to the Wall for
Maths Challenges KS1 (answers)
Maths Challenges LKS2 (answers)
Maths Challenges UKS2 (answers)
Hamilton Education sells hard copy teaching resources that support Hamilton plans at very low cost. Group Readers, phonics books, number lines and 'Five Minute Fillers' can help you teach literacy and numeracy skills in your classroom.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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