What Are Algebra’s Tiles?

Algebra tiles are a concrete, visual, area-based model that naturally links students’ previous understandings to algebraic representations. They are an effective way to build students’ conceptual understanding of factors and the distributive property of numbers, which can be applied to algebraic expressions. 

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To learn more about algebra tiles, visit EDUGAINS for a variety of manipulative tip sheets that teach the use of algebra tiles to students in an engaging and fun way! 

Using algebra tiles to learn about the distributive property of multiplication 

To model the product 3 x 4, start by forming an off-center “t” as a guideline, then extend the sides of each algebra tile across and down the rectangle. Each tile represents a factor in the equation. 

This strategy helps students see that the correct product is the same for all instances of x, even when a specific y instance isn’t. It also helps students make the connection that a positive added to a negative equals zero, which is an important part of learning about distributive property and factoring. 

Another strategy is to model polynomials by multiplying them with an area model. This strategy allows students to see that the correct product of two factors is the same for all instances of x, as in example (a) below. 

The algebra tiles tool provides virtual algebra tiles that are similar to the physical ones used in schools. The tiles can be moved, copied, re-oriented, or negated individually or in groups. This tool is great for modeling simple algebraic expressions or for helping students practice solving equations. 

Annotation Tools

Several annotation tools are available to help students communicate their thinking when they represent expressions and algebraic equations in algebra tiles. These include a table of values and graphs that allow students to compare expressions with different values. 

A tile can be replaced by a copy of the original by dragging it from the selection panel to the workspace or by clicking on it to show the copy. This is especially helpful when a large number of tiles are selected. 

To remove a tile, arrange the tiles so that only one green tile remains on one half of the workspace. This strategy is useful when solving Solve and Expand problems or anytime in Factor problems to ensure that only the corresponding pair of tiles are removed. 

If you need to reposition a tile, add an inverse value to both the left and right sides to move it. For example, to move a red rectangle, first, add a yellow rectangle to both sides. 

Tactile Algebra Tiles

These colorful, magnetic tiles help visually impaired students to work alongside sighted peers. They can be manipulated on a steel board to assist with math problems. 

Algebra tiles can be a valuable resource for middle school students who are learning to use algebra and multiplication. But they require teachers to learn strategies for introducing them into the classroom. The Algebra Tiles Academy will teach you those strategies so that you can successfully use algebra tiles in your middle school math classroom. 

In conclusion, algebra tiles are a tangible and visual tool that aids in building students’ conceptual understanding of algebraic concepts. They serve as a bridge between students’ previous knowledge and algebraic representations, particularly in understanding factors and the distributive property. Algebra tiles provide a hands-on approach to model multiplication and polynomials, helping students grasp the concept of the distributive property and factoring. Online resources such as EDUGAINS offer manipulative tip sheets to guide educators in effectively using algebra tiles in engaging and enjoyable ways. Virtual algebra tiles provide a digital version of these manipulatives, allowing for easy manipulation and exploration of algebraic expressions and equations. Annotation tools and features like copying, removing, and repositioning tiles enhance the learning experience and facilitate communication of students’ thinking. Tactile algebra tiles provide a valuable resource for visually impaired students to actively participate in mathematical activities. While algebra tiles can be beneficial for middle school students, it is essential for teachers to familiarize themselves with strategies for incorporating these tools effectively into the classroom. The Algebra Tiles Academy offers guidance in successfully utilizing algebra tiles to enhance math instruction in middle school settings.