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 negative numbers in context of temperature, place on a line, order positive and negative numbers. Divide whole 2-digit numbers to give one-place decimals and multiply one-place decimals to give whole numbers. Recognise decimal and fraction forms of tenths. Year 5: Calculate rises and falls in temperature. Know what each digit represents in six-digit numbers, place on lines, round to the nearest 100 or 1000, use place value to add and subtract, compare using < and > signs.
Year 4: Multiply and divide by 10 and 100 (whole answers or 1dp); Add and subtract 0.1 and 1 to/from numbers with one decimal place; Place numbers with one decimal place on a number line, round to the nearest whole, compare and write one in between, e.g. 2.1 and 1.2, say what whole number comes between them. Multiply multiples of 10 and 100 by 1-digit numbers. Year 5: Use place value to add and subtract numbers with 1 or 2 decimal places; Round numbers with 2 decimal places to the nearest whole and tenth. Multiply and divide by 10, 100 and 1000. 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.
Year 4: Use compact addition to add amounts of money. Use counting up (Frog) to subtract three digit numbers, e.g. 414 – 278, find change from £5 or £10, and a difference between prices, e.g. £4.24 and £3.78. Year 5: 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; Use counting up (Frog) to find change from £100 and find a difference between amounts of money, e.g. £72.45 – £28.99. Use column addition to add amounts of money. Includes bar model examples.
Year 4: Read and plot co-ordinates in the first quadrant. Complete polygons by giving missing point. Translate shapes in the first quadrant. 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. 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; Draw a conversion graph of imperial to metric units and use it to read off equivalent measures.
Year 4: Add three or four two-digit numbers using compact addition. Subtract pairs of three digit numbers using decomposition (two ‘carries’). Check subtraction with addition. Choose counting up or decomposition to solve subtractions. Identify and describe patterns. Year 5: Multiply and divide whole numbers and decimals by 10, 100 and 1000 (answers with 2 or fewer decimal places). Place numbers with two decimal places on a line, round to the nearest tenth or whole. Use counting up (Frog) to subtract pairs of numbers with the same number of decimal places, then different numbers of places, to find change, and differences in prices. Solve subtraction word problems.
Year 4: Know multiplication and division facts for the 9 times table and begin to know multiplication and division facts for the 7 times table. Revise all times tables up to 12 × 12. Use tables facts and place value to multiply multiples of 10 and 100 by single-digit numbers, e.g. 4 × 70 and 3 × 400. Find factors of numbers up to 40. Year 5: Find lowest common multiples and highest common factors; Use mental strategies (including factors and multiples) to multiply and divide by 5, 20, 6, 4 and 8; Use short multiplication to multiply 4-digit numbers by 1-digit numbers, using rounding to approximate.
Year 4: Identify equivalent fractions (1/2s , 1/3s, 1/4s, 1/6s, 1/8s, 1/10s, and 1/12s) and write fractions in their simplest form. Add and subtract fractions with the same denominators with 2 wholes. Identify equivalent fractions and decimals (1/10s and 1/2s). Year 5: Compare fractions with related denominators using equivalence. Find unit and non-unit fractions of amounts. Find fractions, multiply and divide to solve word problems. Know decimal equivalents for halves, quarters, fifths, tenths and hundredths. Includes bar model examples.
Year 4: Add and subtract single-digit numbers to and from three and four-digit numbers. Add and subtract multiples of 10, 100 and 1000 to and from four-digit numbers. Year 5: Use short division to divide three-digit numbers by single-digit numbers. Multiply unit and non-unit fractions by whole numbers, writing any improper fractions as mixed numbers. Includes bar model examples.
Year 4: Find perimeter of rectilinear shapes in cm by counting. Calculate perimeter in cm and m of rectangles. Find area of rectilinear shapes by counting squares. Use co-ordinates in the first quadrant and join to draw posited polygons. Year 5: Find the perimeters of rectangles and composite shapes. Work 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 4: Revise using compact addition to add three three-digit numbers and two amounts of money. Revise using expanded decomposition to subtract three-digit numbers and introduce compact decomposition. Year 5: Understand place value in 6-digit numbers, place on a line and round to the nearest 10, 100, 1000, 10,000 or 100,000. Use place value to add and subtract. Order, compare and find a number between two 6-digit numbers. Use decomposition to subtract pairs of five-digit numbers and four-digit numbers from five digit numbers. Solve word problems. Includes bar model examples.
Year 4: Use partitioning to multiply three-digit numbers by single-digit numbers (grid or ladder layout). Know the 11 and 12 times tables. Divide two-digit numbers by single-digit numbers, including those divisions which give a remainder (answers between 10 and 30). Year 5 : Use column addition or subtraction to add or subtract four-digit and five-digit numbers. Add and subtract numbers mentally with increasingly large numbers. Use short multiplication to multiply four-digit numbers (including amounts of money) by single-digit numbers. Use short division to divide four-digit numbers by single-digit numbers.
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