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Lesson Plan 1: The X Factor - Trinomials and Algebra Tiles
Overview:
This lesson will teach students to factor trinomial expressions of the form x2 + bx + c. Students will use algebra tiles to identify the binomial factors and the graphing calculator to verify the result. In addition, students will identify the x-intercepts and y-intercepts of each trinomial function and explore relationships between the trinomial x2 + bx + c and its factored form
(x + m)(x + n).
Time Allotment:
One 50-minute class period
Subject Matter:
Factoring
Learning Objectives:
Students will be able to:
- Factor trinomials of the form x2 + bx + c into two binomial factors.
- Identify the relationships that exist between b, c, m, and n when x2 + bx + c is factored as (x + m)(x + n).
Standards:
Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000.
NCTM Algebra Standard for Grades 6-8
http://standards.nctm.org/document/chapter6/alg.htm
NCTM Algebra Standard for Grades 9-12
http://standards.nctm.org/document/chapter7/alg.htm
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