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 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.

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 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.

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

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 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 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 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.

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 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 + Whole 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 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.

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.

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.

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.

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.

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 20+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 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.

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 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 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

A collection of 35 ‘Start the Day’ activities to support your children’s mathematics reasoning and problem solving skills whilst also developing their fluency in addition, subtraction, multiplication, properties of number, algebra, statistics and even compass directions.

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

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