EDIT 603 – Foundations I –
Philosophy of Instructional Technology
Jacqueline Drummond, Glenn Peterkin, Earle Reddie
Daniel Stein, NYIT Adjunct Professor
This lesson addresses the
7B, 5C, 4A
7B, 5C, 4A
7B Represent and analyze functions using
verbal descriptions, tables, equations and
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
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
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
negative (-2x) and
one light shaded
tiles are positive x.
–x is derived by
one dark shaded
tile and the light
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
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.
Negative tiles are dark shaded.
What are the factors of 2x2 - 5x + 3
on the algebra tiles shown below?
The answer is (2x-3)(x-1)
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