Subtraction 4 - Student Workbook

Subtraction:  Booklet 4 - Large Numbers and Practice   33 pages - stapled booklet

The Parent/Teacher Guide has instructions on how to teach the lessons, sample dialogues, games, and the Answer Key.  The Student Workbook has worksheets and practice pages.   We highly recommended that you order both for a complete package. 

Click this title to download General Organization Grades 4 & 5 - a free PDF you print.

This unique approach to subtraction was developed by Prof. Emeritus Michael Butler and refined by Alysia Krafel at the world renowned UCI Farm Elementary School.

  • Memorizing the recipe for how to borrow does not result in understanding of the basic concepts of regrouping.  The Patterns in Arithmetic series teaches for understanding.  The student constructs understanding through experience not being told "how to do" the problems.
  • Circle Math is our unique way of teaching regrouping.  It is the process of breaking up a large problem into many small problems, solving each small problem, and adding the results.
  • The student is guided to find patterns and generalize those patterns in to working knowledge of how procedures work and why they work that way.
  • Parents are guided though a series of lessons that give sample dialogues that a teacher might have with a student who is learning.

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

General Organization 4 & 5 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, Resources, Base Ten Materials, and Series Overview.