The Parent/Teacher Guide has complete instructions on how to teach this math program.  The Student Workbook has worksheets and practice pages.  Both are needed for a complete program. Both Teacher Guides and Student Workbooks are included when you buy the fifth grade set.

Patterns in Arithmetic is the math program developed at the UCI Farm Elementary School for elementary aged students and now also published with adult learners in mind.  At the heart of mathematics is the idea of patterns.   Mathematicians are people who find and use patterns in numbers, shapes, and relationships, exploring through these patterns the workings of the world and universe. Mathematicians also explore patterns simply for their beauty and for the great pleasure discovering patterns can give.

This mathematics program aims to teach students and their teachers to think like mathematicians, not just memorize some of the things that mathematicians have found out.  Students "do" mathematics from the beginning, so there is an emphasis on inquiry and discovery, on invention, and on learning what genuine understanding feels like and how to achieve it.

Students create their own methods for solving arithmetic problems.  They use concrete materials to build and prove their answer.  Then they are asked to solve it a different way and to verify that answer. The goal is understanding: knowing what it feels like when one understands (which often is accomplished through  "Aha"  flashes of insight);  knowing what it feels like when one does not understand and what to do then;  learning perseverance and how to push through feelings of uncertainty and frustration.

This series was field tested at Chrysalis Charter School in Redding, California for many years.

Order a complete set of booklets needed for Grade 5 - \$150.50 - click on the Grade 5 Booklet cover. Both Teacher Guides and Student Workbooks are included in this set.

Click on a cover below to view or to order a booklet individually.

Multiplication:  Booklet 3 - Properties and Factoring

Multiplication:  Booklet 4 - Working with Large Numbers and Decimals

Division:  Booklet 3 - Working with Double Digit Division

Place Value:  Booklet 3 - Into the Millions, Exponential Notation, and Operations Review

General Math:  Booklet 5 - Geometric Formulas, Linear Functions, and Division Relationships

General Math:  Booklet 6 - Geometry of Circles, Algebraic Properties, and More Functions

Fractions:  Booklet 3 - Mixed Numbers and Improper Fractions

Fractions:  Booklet 4 - Equivalent Fractions

Fractions:  Booklet 5 - Simplifying Fractions

Fractions:  Booklet 6 - Multiplication

Fractions:  Booklet 7 - Addition and Subtraction of Unlike Fractions

Fractions:  Booklet 8 - Understanding Division

Prism Fractions Plastic Circles, Prism Fractions Paper Set, and Colored Acetate Set

General Organization - Grades 4 and 5 - free

Fractions Tool Chest - One copy will be included free with any order containing fraction booklets.

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