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I create resources for mathematics teaching based on the Singapore and Shanghai curriculum models for best practice. I will focus on the core principles of Intelligent Practice, Low-Threshold High-Ceiling tasks, fluency based activities and Problem Solving and Reasoning activities.

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I create resources for mathematics teaching based on the Singapore and Shanghai curriculum models for best practice. I will focus on the core principles of Intelligent Practice, Low-Threshold High-Ceiling tasks, fluency based activities and Problem Solving and Reasoning activities.
Fact Families: Addition (upto 50+50)
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Fact Families: Addition (upto 50+50)

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Do you operate a ‘mastery’ classroom? Do your students take too long to recognise the benefit of inverse operations between addition and subtraction facts, or worse, cannot recognise them at all? Look no further than this Fact Families: Fluency with Calculations booklet. Note: This is the Addition (upto 50+50) which includes 5 randomised PDF packs. Click here to find the full pack for addition (Fact Families Addition Bundle) which has a total of 9 different sets, each with 5 different randomised PDFs, and each of those with an example, five questions and seperate answer pages. The full pack includes: Upto 20+20 Upto 50+50 Upto 100+100 Upto 200+200 Upto 500+500 Upto 999+999 Decimal + Whole (Upto 20) Decimal + Decimal (Upto 20) Decimal + Decimal (Upto 100) This resource has been developed through a proven research-based approach. The sessions each have an example set, and 5 follow up questions which helps children to build upon common techniques of calculation. All session use the same format, and provide colour coded visuals to help children make the links between the operations and their inverse. For best results: Use the PDF file to create an small booklet; Teach the main strategy for each session using a whole class approach, and the example calculation provided; Use a 3-minute timer to allow children to complete the page; Allow children to call out their name when they have finished, and tell them their time; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to discuss their strategies for each question; Allow children to create Bar models to represent their understanding of each question; The power of this daily approach is truly remarkable, and will have your children recognising inverse operations to support calculation in no time. You will know your children have made good progress when they start recognising that 126 - 97 can be calculated by using 97 + ___ = 126. This is what the fact families are perfect for! Avoid those unnecessary exchanges in error-prone compact subtraction methods! Also supplied is a full answers booklet for you to check students answers when they call them out.
Fact Families: Addition (Decimal + Decimal upto 20)
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Fact Families: Addition (Decimal + Decimal upto 20)

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Do you operate a ‘mastery’ classroom? Do your students take too long to recognise the benefit of inverse operations between addition and subtraction facts, or worse, cannot recognise them at all? Look no further than this Fact Families: Fluency with Calculations booklet. Note: This is the Addition (Decimal + Decimal upto 20) which includes 5 randomised PDF packs. Click here to find the full pack for addition (Fact Families Addition Bundle) which has a total of 9 different sets, each with 5 different randomised PDFs, and each of those with an example, five questions and seperate answer pages. The full pack includes: Upto 20+20 Upto 50+50 Upto 100+100 Upto 200+200 Upto 500+500 Upto 999+999 Decimal + Whole (Upto 20) Decimal + Decimal (Upto 20) Decimal + Decimal (Upto 100) This resource has been developed through a proven research-based approach. The sessions each have an example set, and 5 follow up questions which helps children to build upon common techniques of calculation. All session use the same format, and provide colour coded visuals to help children make the links between the operations and their inverse. For best results: Use the PDF file to create an small booklet; Teach the main strategy for each session using a whole class approach, and the example calculation provided; Use a 3-minute timer to allow children to complete the page; Allow children to call out their name when they have finished, and tell them their time; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to discuss their strategies for each question; Allow children to create Bar models to represent their understanding of each question; The power of this daily approach is truly remarkable, and will have your children recognising inverse operations to support calculation in no time. You will know your children have made good progress when they start recognising that 126 - 97 can be calculated by using 97 + ___ = 126. This is what the fact families are perfect for! Avoid those unnecessary exchanges in error-prone compact subtraction methods! Also supplied is a full answers booklet for you to check students answers when they call them out.
Odd One Out: 'Start the Day' reasoning activity
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Odd One Out: 'Start the Day' reasoning activity

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning about the properties of numbers? Then look no further than this ‘Start the Day’ activity pack. This is the full pack which has 5 similar activities (each with teacher answers) in PDF and PowerPoint form for easy printing and sharing with your children on an interactive whiteboard. The activity is designed to help children master properties of number, including (but not limited to): Recognising the multiples and factors of different numbers; Identifying similarities between numbers, such as number of tens and ones, place holders, odds and evens etc; Recognising prime, square, triangular and cube numbers; Considering more obscure areas of mathematics (Fibonacci sequence, mathematical language such as dozen, century etc). Note: Any of the numbers presented could be the ‘Odd One Out’. The purpose of this activity is to encourage children to think of as many reasons for this choice, and justifying their decisions. The answer pages provide some reasons to allow teacher and pupil discussion during the plenary. Tips on how to deliver these activities: On the first occasion you use these activities, allow children a free run at solving the puzzle, perhaps with some very minor discussion around the known numbers and how they might help; Allow children to talk through their strategies for finding solutions, encouraging pupil voice in both paired and whole-class discussions; If necessary (some children won’t find a way to solve the problem without a system), share a way to work backwards. How many of the numbers are odd/even? How many of them can be divided by 6? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the problem to make it easier, or more challenging (for example through using more numbers in the set, or through forcing a key rule (e.g. the odd one out must be because of its factors); Use one activity per week over a half term to encourage regular revisiting of the content (justifying the ‘Odd One Out’) and strategies (working backwards/trial and improvement); Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED
Odd One Out: 'Start the Day' reasoning activity (free)
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Odd One Out: 'Start the Day' reasoning activity (free)

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning about the properties of numbers? Then look no further than this ‘Start the Day’ activity pack. This is the free sample of the Odd One Out: ‘Start the Day’ reasoning activity full pack which has 5 similar activities (each with teacher answers) in PDF and PowerPoint form for easy printing and sharing with your children on an interactive whiteboard. The activity is designed to help children master properties of number, including (but not limited to): Recognising the multiples and factors of different numbers; Identifying similarities between numbers, such as number of tens and ones, place holders, odds and evens etc; Recognising prime, square, triangular and cube numbers; Considering more obscure areas of mathematics (Fibonacci sequence, mathematical language such as dozen, century etc). Note: Any of the numbers presented could be the ‘Odd One Out’. The purpose of this activity is to encourage children to think of as many reasons for this choice, and justifying their decisions. The answer pages provide some reasons to allow teacher and pupil discussion during the plenary. Tips on how to deliver these activities: On the first occasion you use these activities, allow children a free run at solving the puzzle, perhaps with some very minor discussion around the known numbers and how they might help; Allow children to talk through their strategies for finding solutions, encouraging pupil voice in both paired and whole-class discussions; If necessary (some children won’t find a way to solve the problem without a system), share a way to work backwards. How many of the numbers are odd/even? How many of them can be divided by 6? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the problem to make it easier, or more challenging (for example through using more numbers in the set, or through forcing a key rule (e.g. the odd one out must be because of its factors); Use one activity per week over a half term to encourage regular revisiting of the content (justifying the ‘Odd One Out’) and strategies (working backwards/trial and improvement); Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED
HexaSums - Addition Fluency Starter
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HexaSums - Addition Fluency Starter

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Do you operate a ‘mastery’ classroom? Do your students need to practise their addition skills to improve their fluency? Look no further than this HexaSums - Addition Fluency Starter. How to use the Starters: Each question starter displays a randomised set of 36 hexagons, each with a value attached. One the left of the screen, students are given an instruction to find a set number of adjacent hexagons, and sum their value to reach the Target Total (or as close to it as possible) on the right of the screen. The adjacent hexagons needed will always range between 2 and 6. The Target Total as always based on the mean average of all 36 hexagons, multiplied by the adjacent hexagons needed value. This means children will usually be able to find the Target Total exactly, but will always be very close at the very least. Note: This is the full pack for addition. The full pack has a total of 8 PDF documents, each with 10 starter activities. The full pack includes: All 36 hexagons between 0 and 10; All 36 hexagons between 0 and 20; All 36 hexagons between 0 and 50; All 36 hexagons between 0 and 100; 18 hexagons up to 10, and 18 hexagons up to 20; 18 hexagons up to 10, and 18 hexagons between 10 and 20; 18 hexagons up to 20, and 18 hexagons between 10 and 20; 18 hexagons up to 20, and 18 hexagons upto 100. Embrace the power of small ‘Adjacent Hexagons Needed’ and 'Target Totals’ Try not to be tempted to skip the sessions with low numbers like 2 for the adjacent hexagons needed, and 11 for example for the Target Totals. You’ll be suprised how many different ways they will find to complete the task. This will also encourage that speed of recall (for example, in searching for number bonds to 11: 10 and 1, 9 and 2, 8 and 3 etc). Encourage the children to make their own rules Ok, so we all know they need to be fluent, and at times that requires speed. So what if you feel that they are already there? Encourage children to create their own rules. When we’ve led this with our children, they’ve come up with brilliant ways of adapting the game which still suit the aims of the teacher. Here are some of the best: ChiSir, can we use subtraction? Yes, of course. For best results: Display the Question Starter on an IWB, or print for pairs of students; Use a 3-minute timer to allow children to find the target number; If children find an answer, encourage the mastery approach where they try to find other ways to achieve the Target Total; Make a game/competition from the Starter to create an ‘edge’ to the activity; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to discuss their strategies for each question; Encourage discussion about number bonds and how they help. The power of this daily approach is truly remarkable, and will have your children recognising number bonds to support calculation in no time.
HexaSums - Addition Fluency Starter (Free)
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HexaSums - Addition Fluency Starter (Free)

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Do you operate a ‘mastery’ classroom? Do your students need to practise their addition skills to improve their fluency? Look no further than this HexaSums - Addition Fluency Starter. How to use the Starters: Each question starter displays a randomised set of 36 hexagons, each with a value attached. One the left of the screen, students are given an instruction to find a set number of adjacent hexagons, and sum their value to reach the Target Total (or as close to it as possible) on the right of the screen. The adjacent hexagons needed will always range between 2 and 6. The Target Total as always based on the mean average of all 36 hexagons, multiplied by the adjacent hexagons needed value. This means children will usually be able to find the Target Total exactly, but will always be very close at the very least. Note: This is the free pack for addition. The full pack has a total of 8 PDF documents, each with 10 starter activities. The full pack includes: All 36 hexagons between 0 and 10; All 36 hexagons between 0 and 20; All 36 hexagons between 0 and 50; All 36 hexagons between 0 and 100; 18 hexagons up to 10, and 18 hexagons up to 20; 18 hexagons up to 10, and 18 hexagons between 10 and 20; 18 hexagons up to 20, and 18 hexagons between 10 and 20; 18 hexagons up to 20, and 18 hexagons upto 100. Embrace the power of small ‘Adjacent Hexagons Needed’ and 'Target Totals’ Try not to be tempted to skip the sessions with low numbers like 2 for the adjacent hexagons needed, and 11 for example for the Target Totals. You’ll be suprised how many different ways they will find to complete the task. This will also encourage that speed of recall (for example, in searching for number bonds to 11: 10 and 1, 9 and 2, 8 and 3 etc). Encourage the children to make their own rules Ok, so we all know they need to be fluent, and at times that requires speed. So what if you feel that they are already there? Encourage children to create their own rules. When we’ve led this with our children, they’ve come up with brilliant ways of adapting the game which still suit the aims of the teacher. Here are some of the best: Sir, can we use subtraction? Yes, of course. For best results: Display the Question Starter on an IWB, or print for pairs of students; Use a 3-minute timer to allow children to find the target number; If children find an answer, encourage the mastery approach where they try to find other ways to achieve the Target Total; Make a game/competition from the Starter to create an ‘edge’ to the activity; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to discuss their strategies for each question; Encourage discussion about number bonds and how they help. The power of this daily approach is truly remarkable, and will have your children recognising number bonds to support calculation in no time.
Fluency: Bridging (add 17 with Numicon)
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Fluency: Bridging (add 17 with Numicon)

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Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (add 19 with Numicon)
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Fluency: Bridging (add 19 with Numicon)

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Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (add 18 with Numicon)
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Fluency: Bridging (add 18 with Numicon)

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Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (add 16 with Numicon)
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Fluency: Bridging (add 16 with Numicon)

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Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging with Numicon (Full Pack)
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Fluency: Bridging with Numicon (Full Pack)

8 Resources
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Daily Fluency - Addition & Subtraction
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Daily Fluency - Addition & Subtraction

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Do you operate a ‘mastery’ classroom? Do your students take too long to recall addition and subtraction facts, or worse, cannot recall them at all? Look no further than this Daily Fluency with Calculations booklet. This resource has been developed through a proven research-based approach. The sequence of sessions follows a specific sequence which helps children to build upon common techniques of calculation. For example, the first week is as follows: Day 1: Adding 9 Day 2: Subtracting 9 Day 3: Adding 11 Day 4: Subtracting 11 Day 5: A mixture of adding 9, 10 and 11. Each week follows a similar structure, with columns of questions conveniently colour coded to help children recognise how much of the session they manage to complete. For best results: Use the PDF file to create an A5 booklet; Teach the main strategy for each session using a whole class approach; Use a 3-minute timer to allow children to complete the page; Allow children to call out their name when they have finished, and tell them their time; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to complete their own tracking charts at the end of each week, and bar chart on the back cover. This gives them a good feedback about how well they are performing, and also gives them ownership over the process. The power of this daily approach is truly remarkable, and will have your children recalling their number facts in no time. Most of our schools reprint this booklet and complete it a second and third time in order to maintain their rapid recall. This can be an important part of creating long term memory of the facts. Also supplied is a full answers booklet for you to check students answers when they call them out.
Daily Fluency - Add & Sub (Sample Set)
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Daily Fluency - Add & Sub (Sample Set)

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Do you operate a ‘mastery’ classroom? Do your students take too long to recall addition and subtraction facts, or worse, cannot recall them at all? Look no further than this Daily Fluency with Calculations booklet. This resource has been developed through a proven research-based approach. The sequence of sessions follows a specific sequence which helps children to build upon common techniques of calculation. For example, the first week is as follows: Day 1: Adding 9 Day 2: Subtracting 9 Day 3: Adding 11 Day 4: Subtracting 11 Day 5: A mixture of adding 9, 10 and 11. Each week follows a similar structure, with columns of questions conveniently colour coded to help children recognise how much of the session they manage to complete. Note: This is a free sample set to give you an insight into how the entire fluency pack works. The full Daily Fluency with Calculations booklet can be found here. For best results: Use the PDF file to create an A5 booklet; Teach the main strategy for each session using a whole class approach; Use a 3-minute timer to allow children to complete the page; Allow children to call out their name when they have finished, and tell them their time; Allow children to call out the answers in order afterwards as you mark as a whole class, discussing any difficulties or interesting patterns; Allow children to complete their own tracking charts at the end of each week, and bar chart on the back cover. This gives them a good feedback about how well they are performing, and also gives them ownership over the process. The power of this daily approach is truly remarkable, and will have your children recalling their number facts in no time. Most of our schools reprint this booklet and complete it a second and third time in order to maintain their rapid recall. This can be an important part of creating long term memory of the facts. Also supplied is a full answers booklet for you to check students answers when they call them out.
Fluency: Bridging (+ 7 with Tens Frame)
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Fluency: Bridging (+ 7 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 9 with Tens Frame)
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Fluency: Bridging (+ 9 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 6 with Tens Frame)
UKExceEDUKExceED

Fluency: Bridging (+ 6 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 8 with Tens Frame)
UKExceEDUKExceED

Fluency: Bridging (+ 8 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 18 with Tens Frame)
UKExceEDUKExceED

Fluency: Bridging (+ 18 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 16 with Tens Frame)
UKExceEDUKExceED

Fluency: Bridging (+ 16 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.
Fluency: Bridging (+ 17 with Tens Frame)
UKExceEDUKExceED

Fluency: Bridging (+ 17 with Tens Frame)

(0)
Do you operate a ‘mastery’ classroom? Do you find it difficult to teach bridging method using visual resources? Look no further than the full set of fluency activities designed to allow children to develop the skills of bridging as an addition strategy using Numicon or Tens Frames. The full sets include blank spaces for children to record, an answer pack for demonstrating on the IWB, and an example question to start the teaching. Each set is divided into a specific addition focus (either adding 6, 7, 8, 9, 16, 17, 18, or 19). This activity is ideal for children in Key Stage 1 or 2. How could I use this activity? Our staff have used these fluency packs in two main ways: As a whole class teaching input, using the Example page to show strategy of partitioning the add focus visually, followed by whole class work through of the questions whilst on the Interactive Whiteboard. Individual booklets (printing 4 pages per sheet in the print settings) and allowing children to work through the booklet with at their own pace, or with a teacher or TA). How are the activities useful? In terms of developing real mastery amongst your students, it is important that they can: Answer simple addition problems quickly from memory, or by using calculation strategies rather than counting. This pack allows children to develop a long term memory of addition facts through the visual nature, whilst helping them to calculate through a bridging strategy. Manipulate numbers in different ways so that they can be confident in any addition scenario. This pack enables children to consider the most efficient methods of bridging. How do children develop more efficient methods? Encourage your children to recognise the different ways to manipulate the calculation. As an example, consider 6 + 7: Some children will automatically change this to 7 + 6 because they have been drilled into “put the largest number first”. For true mastery, children must be able to recognise that addition involves the sum of two addends, and therefore it doesn’t matter which one goes first. So, how do we teach this? Ask them to calculate (not count) the answer both ways around. What do they notice? For 6 + 7, we partition 7 into 4 and 3, because 6 + 4 = 10, and this is what we call bridging. For 7 + 6, we partition 6 into 3 and 3, because 7 + 3 = 10. In both examples the sum is still 13, but the partitions we created we different. So, which one is more efficient? The honest answer is, once we are fluent, they are both efficient. But, whilst we are still learning, most children will find it easier to do 6 + (4 + 3) for the simple reason that even numbers bonds to 10 are easier to remember. Your biggest challenge as a teacher using a mastery style, is to get the children to recognise this of their own accord through real reasoning in the classroom. That’s why these resources have been designed to visually show each calculation.