Bridge: By introducing students to the manipulative of algebra tiles in an associative style, we will demonstrate the idea and some simple mechanics behind factoring before actually addressing it in a purely mathematical sense.
Learning Outcomes: Students will gain a hands on association to the mechanics of factoring, which will supply them with an insightful experience to relate to the larger problem of factoring quadratic equations.
Teaching Outcomes: To have the students actively participate in a creative group effort. Expand students experience with mathematics. Learn from the students experiences with the manipulatives.
Pretest: Ask students what kind of simple geometric shapes can be made with the manipulatives. What methods are there to finding the area of those shapes.
Participation: Students will work in groups to form various rectangles with the manipulatives, noting different configurations of their classmates. By introduction the notion of variables as lengths of some manipulatives, students will be asked various ways to find the area of their rectangles.
Post Test: Inquire to students what kind of rectangles were created, and how the areas related to the length and width of the rectangles. Stress the use of symbolic equations in the final steps of their exploration.
Summary: Have students note the findings of their group, the relation between the length and width, and the total area of the rectangle. From this demonstrate that through symbolic equations what they've been doing is factoring simple quadratics.
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