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Denial: Expressions

Price: $39.95
Order Number: 879.0002
Format : DVD

Denial: Expressions that focuses on equivalent algebraic expressions. Algebra Tiles™ are used to model and demonstrate equivalency of expressions as students make generalizations about simplifying expressions.

This episode begins with the X-team encountering a situation in which they must use what they know about algebraic expressions to create equivalent expressions. The problems presented in the initial program sequence are reversibility type problems, that is, they give students the ‘answer’ and students create the problem. This requires students to think differently as they, in a sense, have to work backwards from the answer. Students have the opportunity to develop the idea that there are multiple algebraic expressions that simplify to 10x.

As the X-team travels to visit Cleopatra, they move from simple algebraic expressions to thinking about two-dimensional representations using area. The area of the rooms remains the same but the configurations of the Algebra Tiles™ are varied. From this, students can explore the relationship between the dimensions of the rectangles and the area. They notice that the dimensions are equivalent even though they may be expressed differently in the symbolic representation. Regardless of the variances in the tiles’ representations, the dimensions are equivalent.

The idea of using rectangular arrangements is not to introduce multiplication of algebraic expressions. Instead, it is an introduction to the idea that Algebra Tiles™ are based on area. When they are placed in a rectangular arrangement, the total area of the rectangle can be represented by an algebraic expression that is the product of the length and width dimensions. The fact that multiple arrangements can be made that have the same area but with somewhat different dimensions may be surprising to students.

Rights granted with the purchase of DVD include: a) life of media audiovisual use, b) public performance, c) campus or building closed circuit and digital/video-on-demand transmission.

Click here for guide

Ideal for grades 6-8
Duration: fifteen minute episode
©2003 Slim Goodbody Production and GPN

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