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 3 and Year 4.
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 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 3 or Year 4 on the red bar above.
Year 3: Understand place value in 3-digit numbers by placing them on a line, ordering, comparing and finding a difference. Year 4: Mental division of whole 2-digit numbers to give 1-place decimals. Mental multiplication of 1-place decimals to give whole numbers. Recognise decimal and fraction forms of tenths. Place 1-place decimals on a number line. Round tenths to nearest whole. Compare 1-place decimals and write one in between.
Year 3: Add and subtract pairs of 2-digit numbers, including near multiples. Add three 2-digit numbers. Year 4: Add three then four 2-digit numbers using compact addition. Use counting up to subtract 3-digit numbers, e.g. 414 – 278. Find change from £5 or £10, e.g. £5 – 3.78 and find a difference between prices, e.g. £4.24 and £3.78. Includes bar model examples.
Year 3: Add 3-digit numbers using expanded addition (one ‘carry’). Count up to subtract two-digit numbers from 3-digit numbers; use addition to check subtraction. Year 4: Use compact addition to add amounts of money. Subtract pairs of 3-digit numbers using decomposition (two ‘carries’); check subtraction with addition. Choose counting up or decomposition to solve subtractions. Identify and describe patterns. Includes bar model examples.
Year 3: Measure and convert lengths in centimetres and metres and weight in kilograms and grams. Estimate, measure objects and record in tables and represent and interpret data in bar charts. Year 4 Objectives: Measure lengths and convert between metres, centimetres and millimetres. Measure weight and convert between kg and g to one decimal place. Make sensible estimations. Measure objects and record in tables. Represent and interpret data in bar graphs.
Year 3: Count in quarters and halves. Understand concept of fractions and begin to understand eighths. Find fractions with a total of 1. Year 4: Identify equivalent fractions (1/2s , 1/3s, 1/4s, 1/6s, 1/8s, 1/10s, and 1/12s). Reduce fractions to their simplest form and identify equivalent fractions and decimals. Add and subtract fractions with the same denominators up to 2 wholes. Includes bar model examples.
Year 3: Understand place value in 3-digit numbers, including money. Mental multiplication and division of numbers by 10 and 100 and understand the effect. Understand that division is the inverse of multiplication. Year 4: Multiply and divide by 10 and 100 (whole answers or with 1dp). Multiply multiples of 10 and 100 by 1-digit numbers. Add and subtract 0.1 and 1 to and from numbers with one decimal place. Use negative numbers in context of temperature and place negative numbers on a line.
Year 3: Mental addition and subtraction of 1-digit numbers to and from 3-digit numbers using place value and partitioning. Add and subtract multiples of 10 and 100 to and from 3-digit numbers. Year 4: Add and subtract 1-digit numbers to and from 3 and 4-digit numbers. Add and subtract multiples of 10, 100 and 1000 to and from four-digit numbers.
Year 3: Written addition of 3-digit numbers using expanded and compact column addition. Mental subtraction by counting up to find the difference. Year 4: Revise adding three 3-digit numbers using compact addition. Revise using compact addition to add amounts of money. Revise using written expanded decomposition to subtract three-digit numbers. Introduce written compact decomposition to subtract three-digit numbers. Includes bar model examples.
Year 3: Read the time on a 12-hour digital clock and to 5 minutes on an analogue clock, convert between analogue and digital. Begin to calculate time intervals in hours and minutes. Understand angles as degrees of turn, right angles as quarter turns, clockwise and anticlockwise. Understand that 4 right angles make a complete turn and 2 make half a turn. Year 4: Read and tell the time to nearest minute on digital and analogue clocks. Use am, pm, 12-hour clock notation and 24-hour time. Work out time intervals crossing the hour. Read and work out questions from simple timetables. Read and plot co-ordinates and translate shapes in the first quadrant. Complete polygons by giving missing points.
Year 3: Use the 4 times table to begin to learn the 8 times table. Recall x2, 3, 4, 5, 8, 10 tables. Use times tables to divide with remainders. Year 4: Know multiplication and division facts for the 9 times table. Begin to know multiplication and division facts for the 7 times table. Revise all times tables up to 12 × 12. Find factors of numbers up to 40. Use tables facts and place value for mental multiplication of multiples of 10 and 100 by single-digit numbers.
Year 3: Multiply and divide by 4 by doubling or halving twice. Find unit and non-unit fractions of numbers using the 2, 3, 4, 5, 8, 10 times tables. Year 4: Use partitioning for written multiplication of 3-digit numbers by 1-digit numbers (grid or ladder method). Know the 11 and 12 times tables. Use written division, chunking, to divide two-digit numbers by single-digit numbers, including those divisions which give a remainder (answers between 10 and 30). Includes bar model examples.
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