# Algebra: Themes, Tools, Concepts

by Anita Wah and Henri Picciotto

Down to Sample Lessons

Algebra: Themes, Tools, Concepts (ATTC) is an algebra textbook I co-authored in the early 90's. It was ground-breaking in some ways, and includes many extraordinarily effective approaches to the teaching of algebra. In fact, ATTC features powerful lessons on many parts of secondary school math, which are used by teachers in grades 7 to 12.

On the other hand, ATTC is not particularly easy to use as a textbook, and never became a best-seller. Thus, the publisher decided to declare it out of print, and the copyright reverted to the authors. It is now available absolutely free, right here, for your non-commercial use.

--Henri Picciotto

## Sample Lessons

Here are some lessons from ATTC, mostly in PDF format. Some are revised.

Proportional Relationships
Investigating Rectangle Areas
Constant Speed
Three problems
The "McNuggets Problem"
Building Block Numbers
Interpreting Graphs
The Bicycle Trip | Follow-up
In the Lab
Discounts
Weight vs. Age
not from ATTC: Comparing Cell Phone Plans
Constant Sums, Constant Products
(More on this last topic.)
Equations and Identities
Three Lessons
The Cover-Up Method
Kinds of Numbers
Function Diagrams
Nine Function Diagrams
The Focus
Representing Linear Functions
(More on this subject, including animated diagrams.)
Maximizing Area | (Condensed version)
(Related Lessons.)
Iterating Linear Functions
Notes
Worksheets
(More on this subject.)
Sequences and Series
Arithmetic and Geometric
(Related Lessons)
Probability
An Introduction
Abstract Algebra
Notes
Worksheets
(More on this subject, for teachers.)

Related pages on this site:
Middle School, including friendlier versions of some ATTC lessons
The Lab Gear manipulatives
Geoboard Activities
My articles on algebra
How to get some of my other books