**Class Intended:** Algebra I Mathematics

**Academic Standards: Standard 1 Operations with Real
Numbers
**Students simplify and compare expressions. They use rational exponents and
simplify

square roots.

A1.1.3 Understand and use the distributive, associative, and commutative properties.

**Standard 6 Polynomials
**Students add, subtract, multiply, and divide polynomials. They factor
quadratics.

A1.6.2 Multiply and divide monomials.

**Performance Objectives:
**All students will multiply two polynomials together using the FOIL or the
distributive

property on the homework problems receiving 14 out of 17 correct.

**Assessment:
**The first assessment is working on the review packet. It will help jog their
memories of

previously learned items and prep them for the Core 40 test.

The second assessment is turning in their homework
assignment on time from the

previous day.

The final assessment will be by the homework assignment.

**Advanced Preparation by Teacher:
**· Create the review packet of previous ISTEP questions that could possibly
be on the core

40 test.

· Have specific examples or types of problems that I want to show to make sure that

students grasp it.

· Look over the homework problems to help foresee any problems or questions that might

arise and go over those problems in class.

**Procedure:
Introduction/Motivation:
**When students enter the classroom I will start off with explaining how we
are

going to do some review as advanced preparation of the Core 40 test that they need to pass. I

will split the class up into groups and hand out the packet to everyone. Once most groups are

done with their packet I will randomly pick groups to put up different problems on the board.

Once all problems are on the board someone from the group that put up a problem will have to

explain how they got the answer.

**Step-by-Step Plan:**

1. After the review packet is over I will have everyone
get out the homework. I

will collect the homework that was assigned from the previous class.

2. Then, I will start into the lesson. Since they added
and subtracted

polynomials the other day it is only logical to multiply polynomials today.

We are going to use an easy method called FOIL. The only catch is that it

will only work when multiplying a binomial by another binomial. Each letter

in FOIL is stands for another word. This is a mnemonic device call an

acronym.

a. Who can guess as to what the F stands for? (Analysis)

3. F does stand for first. We are going to multiply the
first term in both

binomials together.

a. How about the second letter, O? (Analysis)

O is outside. The two outside terms (the farthest left and farthest right) will
be

multiplied together.

b. Can anyone guess as to what the I will stand for? (Analysis)

I stands for the inside. The two terms that are on the inside or the two other

terms besides the outside ones.

c. Lastly, how about L? (Analysis)

L is last. The last terms in each of the binomials will be multiplied together.

4. The book does mention something about horizontal and
vertical

multiplication, but this is the only one we are going to worry about.

Whenever we are multiplying a binomial by another binomial we will only

use the FOIL method.

5. I want everyone to go ahead and work on this problem
using the FOIL

method. (3x + 4)(x + 5). Remember first, outside, inside, and last when

multiplying.

6. Everyone look at this problem. (4x^2 – 3x -1)(2x – 5).
What is different about

multiplying these two polynomials? (Evaluation) Can I still use the FOIL

method on these two polynomials? (Comprehension). We cannot use the

FOIL method because we no longer have two binomials. What else could I do

to multiply these two? (Evaluation) I could use the distributive property. It

would look something like this:

4x^2(2x – 5) – 3x(2x – 5) – 1(2x – 5)

Each term of the first polynomial is distributed or
multiplied by each term in

the second polynomial. Go ahead and finish out this multiplication. What did

someone get for an answer? (Application)

7. We can also use multiplying polynomials to find the
area. There are a few

homework problems over something like this. Sometimes you will be asked

to find a polynomial expression or more often to give a quadratic trinomial.

Basically it wants you to multiply the two binomials it gives or sometimes it is

the area too.

Plank 3

8. If I have a window whose length is 3x + 10 and a width
of 2x + 6. What

would the area of this window be? (Application)

**Closure:
**Who can tell me what FOIL stands for? When do we use the FOIL method? The

homework for today is on page 587 and it is problems (# 27 – 35, 42, 44, and 52 – 57).

**Adaptations/Enrichment:
**There are no modifications for this class.

**Self-Reflection:
**· Did students remember the FOIL method from any pervious math classes?

· Were they able to think of using the distributive method to multiply polynomials that will

not work for the FOIL method?

· Were they able to correctly apply the FOIL method?

· Were there any common problems that everyone seemed to have on the homework?

· Were they productive and on task?

· Was there excessive talking and disruptions of the class?