Subtraction: Booklet 4
Subtraction: Booklet 4
Subtraction: Booklet 4 – Large Numbers and Practice from Pattern Press is a hands-on math curriculum resource designed to help students develop a deep understanding of subtraction with large numbers through visual strategies, pattern recognition, and conceptual learning.
This booklet set includes a 53-page Parent/Teacher Guide and a 33-page Student Workbook focused on regrouping, nonstandard subtraction methods, and flexible mathematical thinking. Developed by Prof. Emeritus Michael Butler and refined by Alysia Krafel at the world renowned UCI Farm Elementary School, this approach moves beyond memorizing borrowing procedures and instead helps students understand why regrouping works.
The Patterns in Arithmetic series teaches subtraction through Circle Math, a unique process where students break large problems into many smaller problems, solve each part, and combine the results. Through guided exploration, learners discover mathematical patterns and build lasting understanding through experience rather than rote memorization.
The Parent/Teacher Guide includes lesson instructions, sample dialogues, games, teaching support, and the Answer Key. The Student Workbook includes worksheets and practice pages designed to reinforce understanding through active mathematical thinking.
A free downloadable PDF is also included:
This resource includes:
- Foreword by Professor Michael Butler
- Introduction
- Farm School Math Notes
- Teaching Techniques
- Arithmetic Conventions
- Math Journal
- Grading and Dialogues
- Sequence Guides
- Lesson Planning
- Materials and Resources
- Base Ten Materials
- Series Overview
Topics included in this booklet:
- Student Assessment
- Assessment Guide
- Introduction to Nonstandard Regrouping and IOUs
- Standard Regrouping Review
- Nonstandard Regrouping and IOUs Review
- Standard Three Digit Regrouping
- Standard Three Digit Regrouping with Recording
- Gus the Bus Driver Word Problems
- Standard Three Digits Assessment
- Regrouping Practice
- Directions for Making Base Ten Counters
- Post Assessment
- Answer Key
Core Learning Skills:
- Understanding regrouping through visual and conceptual subtraction strategies
- Developing flexible thinking with large number subtraction
- Exploring nonstandard regrouping and IOU methods
- Strengthening number sense through Circle Math subtraction
- Breaking complex problems into manageable mathematical steps
- Recognizing patterns and relationships within subtraction procedures
- Connecting concrete models to abstract subtraction recording
- Building confidence with multi-digit subtraction and regrouping
- Supporting deep mathematical understanding beyond memorization
Perfect for:
- Homeschool programs teaching subtraction
- Classroom teachers using hands-on subtraction methods
- Charter school math curriculum programs
- Visual and tactile learners
- Large number subtraction and regrouping instruction
Details
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