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: Partition and represent 3-digit numbers using PV cards and Dienes. Order and compare 3-digit numbers, place on an ENL, find a number between, place on landmarked lines and round to the nearest 10/100. Count in steps of 4, 8, 50 and 100. Work out the rule for a sequence. Year 4: Write place value additions and subtractions (4-digit numbers). Place 4-digit numbers on landmarked lines and round to the nearest 10, 100 and 1000. Count on and back in steps of 25 and 1000. Know the history of zero and place value, and Roman numerals to 100.
Year 3: Expanded and compact written addition to add any pair of 3-digit numbers, estimate totals, look for patterns and make generalisations. Revise using Frog to mentally subtract 2-digit numbers from 3-digit numbers & to subtract 3-digit numbers within same century. Year 4: Use expanded then compact decomposition for written subtraction of pairs of 3 or 4-digit numbers (1 or 2 moves). Use counting up (Frog) to subtract pairs of numbers which are close to multiples of 1000, or when the larger number has zeroes. Includes bar model examples.
Year 3: Add three or four 2-digit numbers using expanded then compact written addition. Find and test rules. Use place value to add and subtract pounds, 10ps and 1ps, e.g. £4.63 – 60p and £3.49 + 30p. Year 4: Add any pair of 4-digit numbers using compact addition. Use decomposition to subtract any pair of 4-digit numbers. 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. Includes bar model examples.
Year 3: Measure in litres and millilitres; convert between whole/half litres and millilitres. Draw a bar chart where one square represents two units. Measure perimeters of 2D shapes. Find change from £5, £10 and £20 and differences between amounts of money (using Frog). Year 4: Find area of rectilinear shapes by counting squares and perimeter in cm by counting. Calculate perimeter in cm and m of rectangles. Use co-ordinates in the first quadrant and join points to draw polygons.
Year 3: Double numbers to 50 and halve numbers to 100 using partitioning. Know times tables and division facts (1x, 2x, 3x, 4x, 5x, 8x, 10x). Begin to use the grid method to multiply 2-digit numbers (< 30) by 1-digit numbers. Find and test rules. Year 4: Mark numbers with 1 decimal place on an ENL and round to the nearest whole. Know what each digit stands for in numbers with 2 decimal places; 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 and write place value related additions and subtractions.
Year 3: Count past 1000, begin to understand place value in 4-digit numbers. Add three or four 2-digit numbers using compact addition; estimate answers. Use column addition to add three 3-digit numbers and add two amounts of money. Year 4: Compare and order numbers with 2 decimal places and place on landmarked lines (marked in 0.1s). Add/subtract 0.1/0.01 to/from numbers with 2 decimal places. Count on/back in tenths and hundredths; add/subtract multiples of 0.1/0.01. Solve simple measure problems using place value in lengths in metres with 2 decimal places.
Year 3: Scale up by multiplying by 4 (double twice) and by 10; scale down by dividing by 4 (halve twice) and by 10. Solve correspondence problems. Divide numbers just beyond the times tables. Year 4 Objectives: Find the product of 3 single-digit numbers using commutativity to help. Solve scaling problems. Convert from cm to m. Solve correspondence problems. Divide two-digit numbers by single-digit numbers, answers less than 30.
Year 3: Draw 2D shapes. Identify lines of symmetry in polygons. Recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn. Identify whether angles are greater than or less than a right angle. Identify horizontal, vertical, perpendicular and parallel lines. Count faces, vertices and edges of 3D shapes. 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 3: Understand tenths, and find tenths of amounts. Understand fractions as both numbers and operators. Find unit and non-unit fractions of amounts; Find fractions equivalent to ½ and ¼. Add and subtract fractions with the same denominator within one whole. Year 4: Find factors less than 50. Use factors to carry out mental multiplication. Use times tables and place value to divide multiples of 10, e.g. 350 ÷ 7. Identify equivalent fractions, including decimals. Find non-unit fractions of amounts. Solve fraction word problems. Includes bar model examples.
Year 3: Understand am and pm. Tell the time to nearest minute. Compare time durations. Use counting up (Frog) to find change from £5, £10, £20 and £100. 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. Draw, read, interpret and describe a line graph. Convert between units of time. Includes bar model examples.
Year 3: Add 3-digit numbers using place value. Subtract 3-digit numbers using place value. Written multiplication using grid method. Mental division using times tables to help. Year 4: Written multiplication using the ladder method to multiply 3-digit numbers. Word problems using all four operations. Includes bar model examples.
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