Lesson Plan 1: The X Factor - Trinomials and Algebra Tiles
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).
One 50-minute class period
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).
Principles and Standards for School Mathematics, National Council of Teachers of Mathematics (NCTM), 2000.