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PIES Badge Based Curriculum

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Understanding numbers, number patterns and how numbers represent quantity and information.

🏅 PIES Summary Badge


Area: Numerical Understanding
Badge: Numerical Understanding Summary Badge


Purpose of This Badge


This Summary Badge provides an opportunity to celebrate everything your child has explored, practised and developed within the Numerical Understanding 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


✅ Counting and Number Recognition

✅ Understanding Zero

✅ Recognising Odd and Even Numbers

✅ Understanding Place Value – Units and Tens

✅ Understanding Place Value – Hundreds and Beyond

✅ Comparing Numbers

✅ Ordering Numbers

✅ Estimating Quantities

✅ Understanding Number Patterns – Simple Sequences

✅ Understanding Number Patterns – Complex Sequences

✅ Understanding Negative Numbers

✅ Applying Numerical Understanding in Real Life


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 number-related activities did your child enjoy most?

  • How has your child's confidence with numbers changed over time?

  • Which badge seemed most challenging and what progress was made?

  • Where have you noticed your child using number skills in everyday life?

  • Which mathematical concepts sparked the most curiosity?

  • 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 numbers through play, counting familiar objects, recognising simple numerals and noticing quantities in everyday activities.


🔍 Discovery Years (5–7)


Children often develop confidence counting, recognising number patterns, comparing quantities and beginning to understand how numbers relate to one another.


🚀 Exploration Years (8–11)


Children often deepen their understanding of place value, patterns, estimation and number relationships while applying number skills in a growing range of situations.


🌟 Independence Years (12–15)


Young people often use numerical understanding confidently to solve practical problems, interpret information and make informed decisions.


🎓 Young Adult Years (16–18)


Young adults often apply numerical understanding independently in everyday life, further education, employment 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:


  • Number names, symbols and values

  • Place value and number relationships

  • Patterns and sequences

  • Positive and negative numbers

  • Real-world applications of numbers


These examples may help when completing your PIES Evidence Record.


Skills Practised


Throughout this area, your child has had opportunities to practise:


  • Counting and number recognition

  • Comparing and ordering numbers

  • Estimating quantities

  • Identifying patterns and relationships

  • Applying number skills in everyday situations


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 numbers represent quantities and information

  • How place value affects the value of digits

  • How numerical patterns can be identified and used

  • How numbers can be compared, estimated and analysed

  • How numerical understanding supports everyday 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 demonstrate increased confidence with numbers?

  • Which mathematical concepts seemed to become easier over time?

  • What everyday situations showed your child's growing numerical understanding?

  • Which badge activities generated enthusiasm or curiosity?

  • Where has your child shown persistence when faced with a challenge?


Achievement should never be measured through comparison with others.


For one child, achievement may be confidently recognising numbers for the first time. For another, it may be applying numerical understanding independently in everyday life. Effort, perseverance, confidence, participation and growth are all valuable achievements worth celebrating.


⭐ 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 Numerical Understanding badges, my child has developed increasing confidence with numbers and numerical concepts. They have explored counting, place value, patterns, estimation and number relationships through practical activities and everyday experiences. I have observed growing confidence when comparing numbers, recognising patterns and using numerical understanding in real-life situations. They have shown curiosity, persistence and a willingness to apply new skills, demonstrating meaningful progress and a stronger understanding of how numbers help us understand and interact with the world around us.


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 numerical understanding to budgeting and finance

  • Exploring more advanced mathematical patterns and relationships

  • Using numerical understanding in science, technology or data investigations


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.

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