Nwakefield2: Created page with "=Lesson Plan 4.3: Factoring Polynomials= ==Objectives:== * Factor out the greatest common factor. * Factor by grouping. * Factor the difference of two squares. ==Suggeste..."

2020-05-26T23:32:20Z

Created page with "=Lesson Plan 4.3: Factoring Polynomials= ==Objectives:== * Factor out the greatest common factor. * Factor by grouping. * Factor the difference of two squares. ==Suggeste..."

New page

=Lesson Plan 4.3: Factoring Polynomials=

==Objectives:==

* Factor out the greatest common factor.
* Factor by grouping.
* Factor the difference of two squares.

==Suggested Lecture Breaks:==
*'''MWF''': You have two days. The first day, get through problem 4.
*'''MW/TR''': You have 1.5 days. The first (half) day, get through problem 3.

==Suggested Lecture Notes:==

* Discuss as a class what the GCF is.
* Provide examples of factoring out the GCF or binomial factor, such as:
** $3x^5 - 27x^3 + 18 x^2$
** $(x-16)(z+y) + (z-y)(x-16)$
* Provide at least one example of factoring out a negative common factor.
* Define the difference of squares formula.
* Provide at least two examples of using the difference of squares formula and one non-example. 10(c) on the reading guide makes an excellent non-example/discussion point.
* Discuss factoring by grouping (have students tell you what it is from RG).
* Provide examples of factoring by grouping:
** $5x-3z+ax-bz$
** $5x-bz-5z+bx$ %the other one doesn't factor by grouping (or at all)
* Finally, provide at least one example in which we can factor out a GCF before factoring by grouping:
**$4a^3c-4a^2b^2c+8abc-8b^3c$

==Comments on the handout:==

* Encourage students to be thorough in the work and go one step at a time so that they may pay attention to plus and minus signs and the like.
* '''Problem 4(c)''': This can be factored more than once. Problems like this will show up on their WebWork assignments, so it's a good idea to go over it with them.

==Suggestions:==

4.3 Factoring Polynomials - Revision history

Nwakefield2: Created page with "=Lesson Plan 4.3: Factoring Polynomials= ==Objectives:== * Factor out the greatest common factor. * Factor by grouping. * Factor the difference of two squares. ==Suggeste..."