The Lab Gear is a comprehensive manipulative environment I designed for the teaching and learning of algebra. I have written three books' worth of activities for it -- *The Algebra Lab: High School*, *Algebra Lab Gear: Basic Algebra*, and *Algebra Lab Gear: Algebra 1*. The first is available here. The other two, and the blocks, are available from Didax. (Scroll down for more info on the books, or click here for info on how to get them.)

For a full *training* on the Lab Gear, see the video course I helped write for Dr. Ed Dickey of the University of South Carolina. (Where to get it.) Or hire me to run an in-service or pre-service workshop. I can introduce the Lab Gear in one or two days, or incorporate that into a more general course on teaching algebra, which can run from three to five days.

Or attend my Visual Algebra workshop this summer.

## On this site

An **introduction** to Base 10 blocks and the Lab Gear, followed by a general discussion of the uses and limitations of manipulatives. (Part of a longer article on "Early Mathematics".)

Short **slide shows** of Lab Gear basics, including cool animations.

**Applets** to explore and discuss multiplying binomials, squaring a binomial, and Completing the Square using the Lab Gear model.

A Microsoft Word file with **Lab Gear graphics/** you can cut and paste into other documents. (The file is large: 46 MB.)

A **gallery** of three items for the SmartBoard and its Notebook software. Each will give you an unlimited supply of Lab Gear blocks to manipulate on the board and/or to copy/paste into a word processor.

A Lab Gear / graphing connection (from *Algebra Lab Gear: Algebra 1*) (PDF).

A worksheet: Factoring a Sum or Difference of Cubes

A rather technical **comparison** of the Lab Gear with other models of polynomials, including a history of algebra manipulatives.

## What to Get

### Blocks

I get much e-mail asking: "I would like to use the Lab Gear. What should I buy?" The answer is simple: get a "student pair" box for each pair of students. (Each box contains 24 ones, 8 fives, 2 twenty-fives, 18 x, four 5x, eight `x^2`, 4 xy, 8 y, two 5y, two `y^2`, one `x^3`, three `x^2y`, three `xy^2`, one `y^3`, and two corner pieces. This should be enough for each student to do almost all the problems in the books.)

In addition, I recommend buying one or two extra boxes to help balance things out if pieces migrate between boxes.

*Algebra Lab Gear* Books

Two books are available from Didax: *Algebra Lab Gear: Basic Algebra*, and *Algebra Lab Gear: Algebra 1*.

*Basic Algebra* is intended for grades 6-9, and features activities on integer arithmetic, equivalent expressions, perimeter and surface area, the distributive property, and equivalent equations, as well as some "from blocks to symbols" pages.

*Algebra 1* is intended for grades 7-10. It focuses on polynomial arithmetic, equations and identities, quadratics, factoring, and connections with graphing. It includes some lessons that I've used successfully in Algebra 2.

Both books have Common Core correlations, teacher notes, lesson plans, and answers. There is some overlap on the key concepts, but the two books are sequenced differently, and represent somewhat different pedagogic styles. If you can afford it, I recommend getting both so as to have more choices, and more activities on the most important topics.

**Errata**: if your books have "A B C D E 20 19 18 17 16" near the bottom of page ii, you have the first printing, which included some mistakes. Download these corrected pages.

**Free download:** You can download *Algebra Lab: High School*. It is the first Lab Gear book, from 1990 -- it's not as user-friendly as the *Algebra Lab Gear* books, but it's free.