Year 4 Place Value: Add/subtract 1s, 10s, 100s and 1000s to/from 4-digit numbers. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Magic Chains Children use their knowledge of inverse operations to quickly work out a sequence of calculations. This problem-solving investigation is part of our Year 4 Place Value block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Year 5 Addition and Subtraction: Column subtraction, and choosing a method. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Persistent Answers Children subtract numbers with consecutive digits from numbers with identical digits and record the different possible answers. This problem-solving investigation is part of our Year 5 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Year 6 Decimals and Fractions: Equivalent fractions: compare, add, subtract. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Domino Fractions Children use dominoes to create fractions. They explore sums of fractions using equivalent fractions and related denominators. This problem-solving investigation is part of our Year 6 Decimals and Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Year 6 Shape: Draw polygons in all quadrants; translate and reflect these. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Cycling Co-ordinates Children use a sequence of co-ordinates to create quadrilaterals. This problem-solving investigation is part of our Year 6 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Year 6 Algebra: Generate and continue linear sequences. Procedural fluency practice Worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Day 1 - Work out the step increase/decrease in sequences in order to complete them. Sequences include those which pass through zero, and which increase/decrease by numbers with 1 decimal place. Day 2 - Children work in pairs to find the 10th, 100th then nth term for sequences. Day 3 - Draw the next spinner/staircase in a sequence. Find a relationship between the number of shapes in the spinner/staircase and its position in the sequence. These procedural fluency practice sheets are part of our Year 6 Algebra block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

Year 2 Shape and Data: Sort shapes according to two overlapping criteria using Venn and Carroll diagrams. Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Day 1 - Sorting numerals into a Venn diagram according to symmetry and straight or curved lines. Day 2 - Sorting shapes into a Carroll diagram. Create your own Carroll diagram. These procedural fluency practice sheets are part of our Year 2 Shape and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

This presentation provides three days of teaching that cover the objectives: Measure weights in g and kg Use bar charts It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Pass round a 1Kg bag of flour, and then a Kg weight so that children can feel how heavy this is. Then have 2 hoops (<1Kg and >1Kg) and pass objects round the circle. When music stops children place object in correct hoop. Day 2 Teaching Have a 1kg bag of flour and a 100g apple. Children pass round different objects and estimate their weights in relation to flour and apples. Use data to create a bar chart. Day 3 Teaching Children collect, record and interpret own data. Think of ideas of data they might be able to collect, e.g. Who has the longest index finger? Which is the longest leaf out of a collection? Who has the heaviest lunchbox? Etc. This teaching is part of Hamilton’s Year 3 Measures and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

This presentation provides two days of teaching that cover the objectives: Division using efficient chunking It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Write 96 ÷ 6 and read it, reminding children that it asks us how many 6s in 96? Draw an empty number line and model finding 10 lots of 6 and then 6 lots (see download). Point out that 10 + 6 is 16 so we know there are 16 lots of 6 in 96. Ask children to show 78 ÷ 6 and 72 ÷ 4. Day 2 Teaching Show the posters made yesterday. Ask children to share how we use a number line to help us divide. First, we find 10 times the divisor, then we work out how many more lots we need. Model 102 ÷ 6 as 10 × 6 and 7 × 6 on a number line. Repeat for 72 ÷ 4 and 54 ÷ 3. This teaching is part of Hamilton’s Year 4 Multiplication and Division block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Year 6 Place Value, Addition and Subtraction: Informal methods of mental and written calculation. Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers. Day 1 - Mental addition and subtraction worksheet practice. Day 2 - Bank Holiday leisure costs, calculating total costs and change. These procedural fluency practice sheets are part of our Year 6 Place Value, Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

This in-depth maths investigation is an open-ended problem solving activity for Year 6 children. It can be used to support teaching towards the objective: calculate volumes of cubes and cuboids. In-depth Investigation: Queued Cubes Children apply a combination of knowledge of 3-D shape, area and volume to solve a problem that introduces surface area. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 6 Measures and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

This in-depth maths investigation is an open-ended problem solving activity for Year 5 children. It can be used to support teaching towards the objectives finding an equivalent fraction to non-unit fractions and adding fractions with related denominators. In-depth Investigation: Big triangle of fractions Children add fractions with related denominators and find equivalent fractions to identify patterns. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 5 Decimals and Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

This presentation provides two days of teaching that cover the objectives: Complete symmetrical shapes and patterns across a line of symmetry. Complete shapes and patterns with a line of symmetry. It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Display a pattern drawn on one side of a line of symmetry (see resources). Discuss the concept of ‘line of symmetry’ and begin to complete each pattern. Provide copies for children who complete each symmetrical pattern. Children create their own symmetrical patterns, colouring just 12 squares lines of symmetry. Day 2 Teaching Draw an irregular but symmetrical hexagon. Ask children to say whether it has a line of symmetry. Then draw half of an irregular but symmetrical octagon. Children need to draw the other half. Discuss shapes with two lines of symmetry and draw one, identifying the two lines. Model how to use a mirror to check for symmetry, perhaps using the Symmetry ITP. This teaching is part of Hamilton’s Year 4 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Year 4 Shape: Identify a line of symmetry; complete shapes with respect to this. Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers. Day 1 - Complete patterns across one or two lines of symmetry. Day 2 - Complete drawings of 2-D shapes to make them symmetrical. These procedural fluency practice sheets are part of our Year 4 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Year 4 Shape: Identify types of angle; use these in exploring properties of polygons. Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers. Day 1 - Compare and order angles, and identify if they are acute or obtuse. Day 2 - Identify acute, obtuse and right angles in triangles. Day 3 - Identify acute, obtuse and right angles in quadrilaterals. Day 4 - Sort quadrilaterals into Venn diagrams based on their properties. These procedural fluency practice sheets are part of our Year 4 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

This presentation provides three days of teaching that cover the objectives: Interpret pictograms, bar charts and line graphs. Sketch and interpret pie charts. Understand and calculate a mean. It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Show and explain the graph of pets. How many children chose a rabbit? Discuss the scale of the graph. Draw a line down to the horizontal axis, and label it 50. Repeat with similar questions. Share today’s top tip. Show a line graph of a dog’s growth in weight over time and ask questions, including intermediate points. Day 2 Teaching Show children the graph of pets from day 1. Label each bar with the numbers: 50, 150 and 100. How many children were surveyed in total? 50 out of 300 children chose a rabbit, what fraction is this? (1/6). What fraction chose a dog? (1/2). What fraction chose a cat? (1/3). Children sketch a pie chart to show the results. Day 3 Teaching Remind children what the word average means and how the mean is one type of average. A sprinter ran 100m in times of 12s, 15s, 13s, and 16s; then calculated her mean time to be 18s. Does this sound right? Share today’s top tip for tests. Children add the 4 times together and divide by 4 to find her mean time. Take feedback. Challenge children to write three different numbers with a mean of 10. This teaching is part of Hamilton’s Year 6 More Revision block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas

This presentation provides three days of teaching that cover the objectives: Add and subtract 1, 10, 100, 1000, 10,000 and 100,000 to/from 6-digit numbers. Place 6-digit numbers on landmarked lines and empty lines. Round 6-digit numbers to the nearest 1000, 10,000, and 100,000. It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Write 457,849. In pairs, one child writes the number 1 less, and the other child writes the number 1 more. Repeat with 10 more/less, 100 more/less, 1000 more/less, 10,000 more/less and 100,000 more/less. Then repeat with 230,193 then 352,605. Day 2 Teaching Show a 0 to 1,000,000 line marked in multiples of 100,000. Choose numbers to mark so that children have to identify and label. Then ask one child to mark a number. The rest of the class guess it, asking careful questions. Children repeat with a partner to place numbers on a 100,000 to 200,000 line. Repeat for groups of numbers, using a number line bounded by appropriate adjacent multiples of 100,000. Day 3 Teaching Sketch a line from 200,000 to 300,000. Mark a number, then ‘zoom in’ and draw a line to show that number between two multiples of 10,000. Repeat for two multiples of 1000. Round to nearest 100,000, 10,000 and 1000. Repeat with a new child and a line between 500,000 and 600,000. Then play ‘100k Bingo.’ This teaching is part of Hamilton’s Year 5 Place Value block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Mental and oral starters for Year 2 Summer Teaching Sequence 6. To work out what coins to use to pay an amount up to £2. To find pairs of multiples of ten with a total of 100. Recognise all coins. Find totals up to 20p using two or more coins. Find totals up to 50p using two or more coins. Use pairs to ten to find the complement to the next multiple of ten. Use complements to multiples of ten to find change up to 50p . Find pairs of multiples of ten with a total of 100. Find additional lesson plans and resources at www.hamilton-trust.org.uk.

Mental and oral starters for Year 2 Autumn Teaching Sequence 12. To know doubles to double 10 and corresponding halves. To know halves of even numbers up to half of 20. Find other lesson plans and resources at www.hamilton-trust.org.uk.

Mental and oral starters for Year 1 Spring Teaching Sequence 12. Know doubles to double 5. Know doubles of numbers to 10. Begin to know corresponding halves. Find halves of shapes by folding and recognise which shapes are divided and which are not Find additional lesson plans and resources at www.hamilton-trust.org.uk.