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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.

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.
Sum Steps: 'Start the Day' reasoning addition problems (Free)
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Sum Steps: 'Start the Day' reasoning addition problems (Free)

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning with addition and subtraction? Then look no further than this ‘Start the Day’ activity pack. This is the free sample of the Sum Steps: ‘Start the Day’ reasoning addition problems 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 encourage children to work systematically to find the correct totals of each step in the pyramid. Children will be able to find some spaces as a direct result of some of the known numbers, with only one number in the bottom row remaining unknown. Children might choose to use a trial and improvement method for finding this unknown number, reasoning out their others answers based on their choices. Otherwise, children might use algebra to replace this unknown number with x. The answer pages provide both the full answer, and the stages involved in using algebra to enable teacher follow up during plenary or mini-plenary discussions. 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. For example, what piece of information helps us the most. Can we start from there? Why can’t a 5 go here? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the puzzle to make it easier, or more challenging (for example through fewer clues, or fewer pyramid steps); Use one activity per week over a half term to encourage regular revisiting of the content (addition and subtraction) and strategies (working backwards/trial and improvement/algebra); Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED
Fact Families: Addition (upto 999+999)
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Fact Families: Addition (upto 999+999)

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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 999+999) 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 (upto 500+500)
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Fact Families: Addition (upto 500+500)

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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 500+500) 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 (upto 100+100)
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Fact Families: Addition (upto 100+100)

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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 100+100) 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 (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.
Fact Families: Addition (upto 200+200)
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Fact Families: Addition (upto 200+200)

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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 200+200) 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.
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.
That's Mean: Mean Average 'Start the Day' Reasoning (Free)
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That's Mean: Mean Average 'Start the Day' Reasoning (Free)

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning about the mean average to help your children master the content? Then look no further than this ‘Start the Day’ activity pack. This is the free sample of the That’s Mean: Mean Average ‘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 mean averages by giving them three styles of practise problems: Calculating the mean from a set of numbers; Using the known mean and the known numbers in a set, to find one missing number from the same set; Using observed patterns in each mean, to predict a the unknown mean, and then calculate the missing number from this mean and the known numbers. Children might choose to use a trial and improvement method for finding this unknown number, reasoning out their others answers based on their choices. Otherwise, children might use algebra to replace this unknown number with x. The answer pages the answer, to enable teacher follow up during plenary or mini-plenary discussions. Note: It is possible that the children will find different answers for part 3 above. This does not make them wrong, and teachers should be prepared to challenge children to justify why they made the choices they did. Tips on how to deliver these activities: These activities are best delivered after the children have learnt about the mean average, what it is for, and how to calculate it; 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 does knowing four of the numbers in this set, and also the mean in this set, help us to find the missing number? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the puzzle to make it easier, or more challenging (for example through fewer clues, or multiple missing numbers); Use one activity per week over a half term to encourage regular revisiting of the content (finding the mean average) and strategies (working backwards/trial and improvement/algebra); Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED
Tricky Totals: Problem Solving ‘Start the Day’ (Free)
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Tricky Totals: Problem Solving ‘Start the Day’ (Free)

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning with addition and subtraction? Then look no further than this ‘Start the Day’ activity pack. In this pack there is one free sample activity from our full pack - Tricky Totals: Problem Solving ‘Start the Day’, which has 5 similar activities (each with teacher answers) in PDF form for easy printing and sharing with your children on an interactive whiteboard. The activity is designed to encourage children to work systematically to find the correct totals. The 3 x 3 grid uses the digits 1-9 only once. Three different sections are colour-coded to represent a sum total of that colour, and the smaller sum totals represent the 4 touching squares around it. Children are forced to reason throughout, for example that if two blue squares total 8, the paired numbers must be either 1 + 7, 2 + 6, 3 + 5 but not 4 + 4 because the digit 4 cannot be used twice. 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 sum totals and how they might help; Allow children to use the digit cards 1-9 to physically manipulate their puzzle; 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. For example, what piece of information helps us the most. Can we start from there? Why can’t a 5 go here? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the puzzle to make it easier, or more challenging (for example through fewer clues, or being able to use digits more than once); Use one activity per week over a half term to encourage regular revisiting of the content (addition and subtraction) and strategies (working backwards/trial and improvement); Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED
Playing Safe 'Start the Day' Puzzle (Free)
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Playing Safe 'Start the Day' Puzzle (Free)

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Do your children need practice solving problems and puzzles? Do you need activities that specifically practise the areas of mathematics that often get neglected in our jam-packed curriculum? Then look no further than this ‘Start the Day’ activity pack involving compass directions and code-cracking. In this pack there is one free sample activity from our full pack - Playing Safe: ‘Start the Day’ Puzzle, which has 10 similar activities (each with teacher answers) in both PDF form and PowerPoint for easy sharing with your children on an interactive whiteboard. The activity is designed to encourage children to work systematically to find the correct route through the safe code to reach the key at the centre. Each button tells them how many spaces to move (1, 2, 3, 4, 5 or 6) and in which direction (North, East, South or West). 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 compass directions; 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. For example, there is only one button which links to the key. Can we find it? There is only one button that links to that button (the one we just used to get to the key). Can we find it? Etc; Encourage children to think about what they did to make the problem smaller; Ask children how they could adapt the puzzle to make it easier, or more challenging (for example through fewer rows or columns, or through adding diagonal movements in the instructions - NE, SE, SW, NW); Use two activities per week over a half term to encourage regular revisiting of the content (directions) and strategies (working backwards); 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
Fact Families - Addition Fluency (Free)
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Fact Families - Addition Fluency (Free)

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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 a free sample set to show you how they are laid out and organised. 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.