PIES Badge Based Curriculum
Using mathematical processes such as addition, subtraction, multiplication and division to solve problems.
🏅 PIES Summary Badge
Area: Calculation and Operations
Badge: Calculation and Operations Summary Badge
Purpose of This Badge
This Summary Badge provides an opportunity to celebrate everything your child has explored, practised and developed within the Calculation and Operations area.
By looking back over completed badges, you can recognise progress, identify strengths and celebrate achievements that may otherwise go unnoticed.
This badge is designed to help you appreciate how far your child has come while looking forward to future growth and development.
Completed Badges Review
✅ Understanding and Using Mathematical Symbols
✅ Addition: Concepts and Practice
✅ Subtraction: Concepts and Practice
✅ Using Number Lines and Arrays
✅ Understanding Fact Families
✅ Mental Arithmetic Strategies: Addition and Subtraction
✅ Multiplication: Concepts and Practice
✅ Division: Concepts and Practice
✅ Mental Arithmetic Strategies: Multiplication and Division
✅ Applying Inverse Operations
✅ Solving Word Problems: Addition and Subtraction
✅ Solving Word Problems: Multiplication and Division
Consider revisiting completed Evidence Records, Journey Journal entries, projects, discussions and experiences that contributed to each badge.
Looking Back
Use the completed badges, Evidence Records and Journey Journal entries to reflect on your child's development.
Consider:
Which calculation activities did your child enjoy most?
How has your child's confidence with mathematical operations changed over time?
Which strategies became easier with practice?
When have you seen your child apply calculation skills in everyday life?
Which problem-solving activities generated the most interest or enthusiasm?
What achievements within this area stand out most to you?
There are no right or wrong answers.
The purpose of this reflection is to help you recognise growth that may not always be obvious when viewed day by day.
Progress Through the PIES Stages
Reflect on your child's current stage.
🌱 Early Years (0–4)
Children often begin exploring quantities through play, combining and separating objects, counting collections and recognising simple number relationships.
🔍 Discovery Years (5–7)
Children often develop confidence with basic operations, practical calculations, mathematical symbols and simple problem-solving activities.
🚀 Exploration Years (8–11)
Children often strengthen their understanding of addition, subtraction, multiplication and division while using a variety of strategies to solve increasingly complex problems.
🌟 Independence Years (12–15)
Young people often apply calculation skills confidently in practical situations, selecting appropriate methods and explaining their reasoning.
🎓 Young Adult Years (16–18)
Young adults often use calculation and problem-solving skills independently in daily life, employment, further education and personal decision-making.
Consider how your child is developing within their current stage and whether they are demonstrating increasing confidence, independence and capability.
Knowledge Developed
Throughout this area, your child has had opportunities to develop knowledge of:
Mathematical operations and symbols
Number relationships and fact families
Mental arithmetic strategies
Multiplication and division concepts
Problem-solving approaches and techniques
These examples may help when completing your PIES Evidence Record.
Skills Practised
Throughout this area, your child has had opportunities to practise:
Addition and subtraction
Multiplication and division
Mental calculations
Solving word problems
Explaining mathematical thinking
These examples may help when completing your PIES Evidence Record.
Understanding Gained
Throughout this area, your child has had opportunities to develop understanding of:
How mathematical operations are connected
How calculations can solve real-world problems
How different strategies can lead to the same answer
How inverse operations can check solutions
How mathematical reasoning supports decision-making
These examples may help when completing your PIES Evidence Record.
Celebrating Achievement
Reflect on the achievements that stand out most during this area.
Consider:
🌟 What has your child achieved that makes you proud?
When did your child show increased confidence with calculations?
Which problem-solving skills have developed most noticeably?
What calculation strategies became easier through practice?
Where has your child successfully applied maths in real-life situations?
Which badge activities encouraged persistence and determination?
Achievement should not be measured through comparison with others.
One child may celebrate mastering basic addition, while another may celebrate confidently solving complex word problems. Achievement may be seen through effort, perseverance, confidence, participation or growth.
Every part of your child's journey deserves recognition.
⭐ Emerging Strengths
Throughout this area, your child may have demonstrated particular strengths.
Consider:
Which skills appear most naturally?
Which activities were completed with enthusiasm?
Which experiences were repeatedly chosen?
Which achievements stand out most?
Which areas showed the greatest confidence?
Which experiences generated curiosity or excitement?
Which skills would your child happily practise again?
These observations may help identify future interests, talents and areas for further exploration.
Remember that strengths do not need to be exceptional to be valuable.
Small interests often grow into lifelong passions when they are recognised and nurtured.
Learning Summary
Using your completed Evidence Records, write a summary of your child's development within this area.
Example:
Over the course of the Calculation and Operations badges, my child has developed increasing confidence when working with numbers and solving problems. They have explored addition, subtraction, multiplication and division through practical experiences and everyday activities. I have observed growing confidence with mental arithmetic, number relationships and selecting suitable methods to solve problems. They have shown persistence when tackling challenges and have become more willing to explain their reasoning and apply mathematical skills in real-life situations. Their progress demonstrates greater independence, understanding and enjoyment of mathematical problem-solving.
Looking Ahead
Consider what you would like to explore next year.
You might think about:
new interests
new experiences
further challenges
developing confidence
increasing independence
Area-specific ideas:
Applying mathematical skills to budgeting and personal finance
Exploring more complex multi-step problem-solving activities
Using calculations in science, technology, engineering or business projects
Remember that development is a journey rather than a destination.
The aim is not to achieve perfection, but to continue providing meaningful opportunities for growth, enjoyment and discovery.
Parent Reassurance
Every child develops differently. This Summary Badge is an opportunity to celebrate progress, not perfection.
By reflecting on your child's experiences and achievements, you are creating a valuable record of their educational journey and recognising learning that has taken place throughout everyday life.
The goal is not to compare your child to others. The goal is to recognise, record and celebrate growth.