Subtraction 3 PDF - Student & Teacher

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, which make a complete package.

To order click the Add to Cart button for Subtraction:  Booklet 3 PDF - Student Workbook - General Principles of Regrouping (borrowing), a 78 page downloadable PDF you print.

Click this title to download Subtraction:  Booklet 3 PDF - Parent/Teacher Guide, a 68 page downloadable PDF you print.  This booklet is included in the price. 

Click this title for a free downloadable PDF - General Organization Grade 3 PDF.  Includes Foreword by Professor Michael Butler, Introduction, Farm School Math Notes, Teaching Techniques, Arithmetic Conventions, Series Overview, Math Journal, Grading, Sequence Guide, Assessment, and Materials and Resources.

This unique approach to subtraction was developed by Prof. Emeritus Michael Butler 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

Regrouping:  Introduction and Philosophy

Review of Circle Math:with Subtractionn

Discovering how to Regroup with Subtraction using manipulatives and Nonstandard Regrouping

Standard Regrouping

Three Digits Regrouping:  Manipulative and Recording

Post Assessment