Henri Picciotto's

Lab Gear

Lab Gear

A manipulative for algebra

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 on this site. 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 two to five days.

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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 1995 article on "Early Math".)

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

Virtual Lab Gear: Google Drawings that make it easy for students and teachers to carry out Lab Gear activities, to create annotated Lab Gear images, and to project such images for classroom discussion. Figures can be annotated with text, and multiple people can work on the images at the same time.

Applets to explore and discuss multiplying binomials, squaring a binomial, and completing the square using the Lab Gear model.

A book (See below for more about books.)

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

Factoring a Sum or Difference of Cubes: Lab Gear proof | puzzle worksheet

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

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.

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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.

Where to order.

Algebra Lab Gear Books

ba-cover a1-cover

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.

Where to order.

Errata: Unfortunately, the first printings of the Algebra Lab Gear books included some mistakes. Download the corrected pages.

Alternative activity: I suggest an alternative to Activity 1-1D in the Algebra 1 book ("Face to Face") near the end of this blog post.

Free downloads: 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. It contains some material available nowhere else and many activities I recommend for classroom use. In particular, check out the Explorations. (See pp. ix-x in the front matter for an overview and index of those.) Some of its content is sprinkled throughout Algebra: Themes, Tools, Concepts, a substantial textbook (1994), also available on this site.

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Related pages on this site:

Algebra
Manipulatives

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