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.

As featured in Andrew Jeffrey’s recent Puzzle and Games CPD Webinar in conjunction with Oxford University Press, this is the free pack of reasoning starter activities. You can find additional packs for a small cost by visiting our shop.
In this pack, you will find:
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.

Do you operate a ‘mastery’ classroom? Do you want to know how well your students really understand place value, number lines and the intervals found on them? Look no further than this full-lesson reasoning-based activity, complete with answers. There is also a complete set of mastery style questions after the initial task, which is aimed specifically at stretch and challenge for all children.
This activity is ideal for children in Key Stage 2.
How could I use this activity?
As a pre-assessment and post-assessment of any unit you teach linked to number lines, intervals (marked and unmarked) and even measures;
As a full-lesson activity related to those same areas of learning.
Why is this activity useful?
This activity has been specifically designed to develop children’s reasoning skills. They are given some limited information for each number line, with the only constant being the number they have to mark. Each number line represents a different scale, with different values for the intervals. Children will need to use all of their logic to establish the other intervals, and therefore where 564 can be marked. We have used this activity in a classroom, and found the knowledge we gain as teachers about each child’s true maths ability and understanding, is far greater than any test could provide.
Which objectives in the UK National Curriculum does it match?
Key Stage 2
Number and Place Value:
recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
compare and order numbers up to 1000
identify, represent and estimate numbers using different representations
solve number problems and practical problems that involve all of the above

Do your children need practice solving problems and puzzles? Do you need activities that specifically practise reasoning about multiplication? Then look no further than this ‘Start the Day’ activity pack.
This is the free sample version of the Multiplication Cypher: ‘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. This pack could also be used for challenging more able children (who already know their times tables) during whole class practice/fluency sessions.
The activity is designed to help children master multiplication, including (but not limited to):
Recognising square numbers as products;
Recognising the properties of the factors and multiples of different numbers;
Reasoning about numbers multiplied by 1 and 0, and how this helps in the big picture of a problem;
Recognising patterns between the number of tens and ones in a product, and the factors of these products;
Considering the problem solving strategies of trial and improvement, working systematically, and logical reasoning.
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 the rules (0-9 digits and how they are used in 1 and 2-digit number representations);
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 times tables have only two 1-digit products? (5, 6, 7, 8, 9). How many square numbers have only a 1-digit answer? (1, 2, 3). How many square numbers have ones in the product that are the same as the multiple being used? (1, 5, 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 (multiplication) and strategies (working backwards/trial and improvement);
Have children create their own versions and send them to us to challenge our followers - Twitter: @UKExceED

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 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.

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 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.

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 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.