Place Value: Booklet 1

Place Value: Booklet 1 – Beginning Place Value from Pattern Press introduces students to place value through games, pattern exploration, multiple number bases, and hands-on mathematical discovery.

The 60-page Parent/Teacher Guide includes lesson instructions, games, sample dialogues, and teaching support. The 68-page Student Workbook provides worksheets and practice activities that reinforce understanding through hands-on learning and pattern recognition.

This foundational math resource helps children develop a deep understanding of how number systems work by moving beyond memorization into meaningful exploration. Through playful activities, recording strategies, and visual learning experiences, students begin to see patterns in numbers and understand how place value operates across different bases.

Students explore counting, grouping, trading, and recording numbers in base four, base five, and base ten, helping them build flexible number sense and stronger mathematical reasoning. Working with multiple bases encourages children to think like mathematicians by discovering how number systems are structured rather than simply following rules.

Topics included in this booklet:

• Beginning and Recording Patterns
• Circle Game
• Trading Game
• Counting and Recording in Base Four (Cuckoos) with two and three digits
• Counting and Recording in Base Five with two and three digits
• Counting and Recording in Base Ten with two, three, and four digits
• Addition with Place Value in Different Bases

Also included:

• Foreword by Professor Michael Butler
• Introduction
• Farm School Math Notes
• A Guideline to the Lessons
• Teaching Techniques
• Arithmetic Conventions
• Materials and Resources

Core Learning Skills:

• Building strong place value understanding through exploration
• Developing flexible number sense across multiple bases
• Learning grouping and trading concepts through games
• Recognizing patterns within number systems
• Strengthening mathematical reasoning and logical thinking
• Connecting concrete manipulatives to written recording
• Exploring addition concepts through place value structures
• Encouraging deeper understanding of how numbers work
• Building confidence with multi-digit numbers and operations
  

Perfect for:

• Homeschool math curriculums
• Students who benefit from visual and hands-on learning
• Parents looking for conceptual math curriculum
• Classroom and charter school enrichment