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Teaching Presentation: Place value in money: add/subtract. (Year 3 Place Value and Money)
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Teaching Presentation: Place value in money: add/subtract. (Year 3 Place Value and Money)

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This presentation provides three days of teaching that cover the objectives: Develop understanding of place value in money. Use to add and subtract. 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 3 large pound coins, a 50p coin and a 2p coin (or IWB coins). How much money is here? How can we write it? Revise how we write this as £3.52. Rehearse writing amounts of money. Day 2 Teaching Display the Money place value grid (see resources). Remind children how to write amounts in £ and p. Write amounts including those containing 0 on the PV grid. Compare the amounts using symbols. Day 3 Teaching Play the ‘Nasty Game’ and record place value additions such as £2 + 30p + 5p, £2.05 + 30p, etc. Check all possibilities. Ensure children are confident in writing amounts such as £2.05 and do not write this as £2.5. Ask children to write subtraction sentences for same amount. This teaching is part of Hamilton’s Year 3 Place Value and Money 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 3 Fractions - Problem-Solving Investigations
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Year 3 Fractions - Problem-Solving Investigations

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These in-depth maths investigations are open-ended problem solving activities for Year 3 children. In-depth Investigation: Fraction Clues Children use their knowledge of fractions and tables to find mystery numbers. In-depth Investigation: Fraction Bets Children look at fractions and make a hypothesis of which ones are closest. They then test this out by placing fractions on a line. In-depth Investigation: Greedy Guzzler Children explore which is the greater fraction of a set amount. They also fold strips to look at the fractions. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our Year 3 Maths Blocks. 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.
Practice Worksheets: Generate and continue linear sequences. (Year 6 Algebra)
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Practice Worksheets: Generate and continue linear sequences. (Year 6 Algebra)

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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.
Measure weights in g and kg - Teaching Presentation - Year 3
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Measure weights in g and kg - Teaching Presentation - Year 3

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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.
Bar charts, pie charts, line graphs, means - Teaching Presentation - Year 6
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Bar charts, pie charts, line graphs, means - Teaching Presentation - Year 6

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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
Add by bridging 10 using number bonds to 10 - Teaching Presentation - Year 1
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Add by bridging 10 using number bonds to 10 - Teaching Presentation - Year 1

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This presentation provides three days of teaching that cover the objectives: Bridge 10 with bead strings and beaded lines. Bridge 10 with Fly on a number grid. Add, deciding whether or not the addition will bridge 10. 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 children the bead bar. Slide 8 beads to one side. Model adding 3 by sliding 2 beads to make 10, then 1 more. Repeat to show 7 add 5 by adding 3 to make 10 and then adding 2 more beads. When we add in two steps like this, stopping at 10, we call it bridging 10. Repeat, to find 8 + 5, 6 + 5 and 9 + 6, bridging 10 on the bead bar, with children replicating on bead strings. Day 2 Teaching Show children a 1-100 number grid and Fly. Remind them that Fly can make a short flight to the next 10 from any number. Demonstrate adding 5 to 25 using Fly. Then model adding 5 to 17, using Fly to go to 20 first, and then counting on 2 more. Record: 17 + 5 = 22. Do you see how we bridged 20, a 10s number? Repeat for 28 + 6 and 36 + 5. Day 3 Teaching Use a 100 bead bar to show children 36 + 5, an addition bridging 10. Then discuss how we can recognise if an addition will need to cross a 10s number. Repeat for 57 + 4 and 35 + 7. Model drawing hops for 35 + 7 on a beaded line. This teaching is part of Hamilton’s Year 1 More 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.
Understand/calculate negative numbers - Problem-Solving Investigation - Year 6
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Understand/calculate negative numbers - Problem-Solving Investigation - Year 6

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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 place value, addition and subtraction objectives: understand negative numbers and perform calculations across 0. In-depth Investigation: Noughts and Negatives Children play an adapted game of noughts and crosses, aiming to get negative number answers. 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 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.
Add numbers with up to 3 decimal places - Problem-Solving Investigation - Year 6
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Add numbers with up to 3 decimal places - Problem-Solving Investigation - Year 6

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This in-depth maths investigation is an open-ended problem solving activity for Year 6 children. It can be used to support teaching towards objective: Add numbers with up to three decimal places. In-depth Investigation: Decimal Pyramids Children add numbers with 3 decimal places to give a number with 2 decimal places. They add numbers with 2 decimal places to give a number with 1 decimal place. They then add numbers with 1 decimal place to give a whole number. 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 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.
Represent 3-digit numbers in diff ways - Problem-Solving Investigation - Year 3
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Represent 3-digit numbers in diff ways - Problem-Solving Investigation - Year 3

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Year 3 Place Value and Money: Represent 3-digit numbers in many different ways; round numbers to 10 and 100. 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: Guess my Number Children use their knowledge of 3-digit numbers, rounding, and properties of numbers to work out a mystery number. This problem-solving investigation is part of our Year 3 Place Value and Money 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 Oral Starter Questions - Year 6
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Mental Oral Starter Questions - Year 6

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Mental and oral starter questions for Year 6 Summer Teaching Sequence 1. Find decimals with a total of 1 or 10. Know all multiplication and division facts for the 2 to 10 times tables. Find additional lesson plans and resources at www.hamilton-trust.org.uk.
Problem-Solving Investigation: Understanding and identifying 2-D shapes (Year 1 Shape and Data)
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Problem-Solving Investigation: Understanding and identifying 2-D shapes (Year 1 Shape and Data)

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Year 1 Shape and Data: Understanding and identifying 2-D shapes 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: Shape Wheels Children make a sequence of coloured shapes, changing one attribute at a time so that the sequence can end where it started, forming a circular sequence. This problem-solving investigation is part of our Year 1 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.
Problem-Solving Investigation: Place value in 2-digit numbers (Year 2 Place Value and Money)
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Problem-Solving Investigation: Place value in 2-digit numbers (Year 2 Place Value and Money)

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Year 2 Place Value and Money: Place value in 2-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: Dancing Digits Children use place value addition and subtraction to write chains which ‘swap’ the 10s and 1s digits. This problem-solving investigation is part of our Year 2 Place Value and Money 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.
Practice Worksheets: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition and Subtraction)
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Practice Worksheets: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition and Subtraction)

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Year 2 More Addition and Subtraction: Add/subtract 11, 12, 21, 22, etc. to/from 2-digit numbers. 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 Most children create their own questions by selecting pairs of numbers to add. Some will complete a challenge involving missing numbers. Day 2 Children are set different challenges to add 11, 12, 13, 21, 22, 23, 31, 32 or 33 to other 2-digit numbers; answers ≤110. Day 3 Children calculate which of a set of given numbers is required to make a set of given calculations correct. These procedural fluency practice sheets are part of our Year 2 More 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.
Problem-Solving Investigation: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition & Subtraction)
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Problem-Solving Investigation: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition & Subtraction)

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Year 2 More Addition and Subtraction: Add/subtract 11, 12, 21, 22, etc. to/from 2-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: Count Down to Zero Children take turns to subtract 1, 2 or 3 from a 2-digit number greater than 20. They use strategies to help them win a game by reaching zero first. This problem-solving investigation is part of our Year 2 More 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.
Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts - Problem-Solving Investigation - Year 3
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Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts - Problem-Solving Investigation - Year 3

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This in-depth maths investigation is an open-ended problem solving activity for Year 3 children. It can be used to support teaching towards the objectives: Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts. In-depth Investigation: Fraction Clues Children use their knowledge of fractions and tables to find mystery numbers. 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 3 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.
Develop the concept of fractions - Problem-Solving Investigation - Year 3
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Develop the concept of fractions - Problem-Solving Investigation - Year 3

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This in-depth maths investigation is an open-ended problem solving activity for Year 3 children. It can be used to support teaching towards the objectives: Develop the concept of fractions. In-depth Investigation: Fraction Bets Children look at fractions and make a hypothesis of which ones are closest. They then test this out by placing fractions on a line. 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 3 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.
Subtraction strategies; written methods - Problem-solving Investigation - Year 4
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Subtraction strategies; written methods - Problem-solving Investigation - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives : Subtraction: written methods and choosing strategies In-depth Investigation: Wonderful 1089! Children add two 3-digit numbers and subtract a pair of 3-digit numbers to find patterns. They use mathematical reasoning to begin to explain what they find. 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 4 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.
Introduction to one place decimals - Problem-Solving Investigations - Year 4
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Introduction to one place decimals - Problem-Solving Investigations - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Introduction to one place decimals. In-depth Investigation: Magical Square Decimals Children use the arrangement of digits on a magic square to create one place decimals. They try to demonstrate that they have found all the possibilities. 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 4 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.
Mental Oral Starters - Year 1
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Mental Oral Starters - Year 1

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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.
Mental Oral Starters - Year 1
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Mental Oral Starters - Year 1

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Mental and oral starters for Year 1 Autumn Teaching Sequence 4. To subitise (recognise without counting) a quantity up to 6. To count on and back from any number up to at least 10. To begin to know pairs that make 10. To begin to know pairs that make 10. Record addition sentences. To know pairs that make 10 and respond to a range of mathematical vocabulary related to addition and subtraction. To recognise sets of numbers without counting them. Find additional lesson plans and resources at www.hamilton-trust.org.uk.