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.

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.

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.

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.

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.

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.

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.

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.

As featured in Andrew Jeffrey’s recent Puzzle and Games CPD Webinar in conjunction with Oxford University Press, this is the full pack of reasoning starter activities. You can find the free version of this resource by visiting our shop. In this pack, you will find: 5 packs of activities which each contain: 5 addition based activities; 5 multiplication based activities; Answers to each challenge. In the addition based activities (Addends 1, Addends 2 etc), children are given the sum total of each column and each row. They are asked to work out where each of the digits 1-9 should go in order to make those sums correct. In the multiplication based activities (Factors 1, Factors 2 etc), children are given the product total of each column and each row. They are asked to work out where each of the digits 1-9 should go in order to make those products correct. Additional information: Each square is colour-coded green and yellow for odd and even digits respectively. You do not have to share this with the children, but can if you feel this would help children to overcome some barriers to starting on the problem.

This is the full Intelligent Practice programme developed for fractions, and comes complete with answers on separate pages. You can try the Intelligent Practice: Fractions - Quarters free sample before you buy. There are separate pages for each multiple of 4 (and corresponding 10x value) from 4 to 100, representing 25 pages of worksheets designed specifically for developing student confidence and deeper understanding. The visual representations (BAR models) of the fractions aim to help children understand the concept of four ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one quarter, two quarters, three quarters and four quarters of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 4; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 4, each part increases by 1, etc.

This is the full Intelligent Practice programme developed for fractions, and comes complete with answers on separate pages. You can try the Intelligent Practice: Fractions - Thirds free sample before you buy. There are separate pages for each multiple of 3 (and corresponding 10x value) from 3 to 99, representing 33 pages of worksheets designed specifically for developing student confidence and deeper understanding. The visual representations (BAR models) of the fractions aim to help children understand the concept of three ‘parts’ to a ‘whole’. Intelligent practice guides them through calculating one third, two third, and three thirds of the amount. The second section enables children to repeat this process for an amount that is 10 times greater, helping to reinforce place value understanding, and its effect on the fraction parts. The final section encourages children to reflect on the patterns they have noticed. Skilful questioning from the teacher will enable the children to identify, for example: Why the whole amounts used are always multiples of 3; Why the ‘parts’ in each section increase by the same amount each time; Why the ‘parts’ between sections are also 10x greater; Why every time the ‘whole’ increases by 3, each part increases by 1, etc.

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.