# Lesson Title Factoring Trinomials

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```					              Lesson Title:
Factoring Trinomials
EDIT 603 – Foundations I –
Philosophy of Instructional Technology

Jacqueline Drummond, Glenn Peterkin, Earle Reddie

following standards:
7B, 5C, 4A
Teachers' Center
7B, 5C, 4A
   7B Represent and analyze functions using
verbal descriptions, tables, equations and
graphs.

   5C Use dimensional analysis techniques.

   4A Represent problem situations
symbolically by using algebraic expressions,
sequences, tree diagrams, geometric
figures and graphs.
Aim: How do we solve quadratic
functions by factoring trinomials?
  Students will utilize examples found on
Algebra Tiles to find the factors of
trinomials.
 Students make conjectures about how
they could solve an equation by extracting
the factors of a trinomial.
   Students will review examples, which test
positive and negative factors of a
trinomial.
   When factoring ax2 + bx + c students will
list all factors and use them to write
binomial until the correct term is found.
Below is an example of how tiles
can represent x2 – x – 2.
• There are two dark
representing
negative (-2x) and
tiles are positive x.
–x is derived by
tile and the light
tile canceling.
These tiles must be placed as a
rectangle with the following rules:

   Only equal length sides must touch

You  may not lay two equally sized
tiles of different color next to each
other.
   The algebra tiles representing quadratic function
x2 - x- 2 will be placed in the shape of a
rectangle. Reading the top and the left from the
factors are x + 1 and x – 2, shown below:
Below are algebra tiles representing 2x2 - 5x + 3.
Positive tiles are of the light shaded.
What are the factors of 2x2 - 5x + 3
on the algebra tiles shown below?

Reflection: Students will reflect on how factoring techniques
compare to the graphing technique or the quadratic formula.

Learning should be hands on and experience based, rather than
abstract. - John Dewey: Educational Reform as Social Activism

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