Bridge: Introduce quadratic polynomials by using algebra tiles and relating them to areas of rectangles.
Learning Objectives: Students will gain a basic, entry level idea of how to factor basic quadratic polynomials of the form ax² + bx + c.
Teaching Objectives: Teachers will be able to use group work to teach students the patterns of factoring quadratic polynomials using manipulative such as algebra tiles.
Pretest: Ask students what kind of simple geometric shapes can be made with the algebra tiles. Ask, in what ways, can one find the area of the rectangle. (Should be two distinct ways. More if the class is creative.)
Participation: Put students into groups of 3 with a set of algebra tiles. Have them form various rectangles and note, using the different ways, what the area of the rectangle is. Make note that these are the expanded and factored forms of the quadratic polynomial.
Post Test: Ask students if they found a pattern to the two ways that the area was calculated.
Summary: From here on, discuss the various other forms of quadratic polynomials as the group work. Discuss factorable and non-factorable quadratics in that manner. Talk about the quadratic formula and what it can do to factor any quadratic.
No comments:
Post a Comment