Warm Up
1) Create the following:
Constant
Linear Equation
Quadratic Equation
Cubic Equation
2) Create a Monomial, Binomial, and Trinomial
3) Find the Degree of the following
a) 5x - 10
b) 6x2 + 3x - 1
4) Find the Degree and put in Standard Form: 5x5 + 3x - 7 + 4x2 + 3x4 – 1
5) Find the sum/difference:
a) (9x4 + 8y + 12) – (3y2 – 7y + 2)
b) ( 6x3 + 5x +11) + ( 3x3 +7x +8)
Review

How would you multiply 3(5x – 1) ?

Can we classify these polynomials?
Multiplying a MONOMIAL and a
POLYNOMIAL

Two things to remember:
1. Use the DISTRIBUTIVE PROPERTY!
2. When multiplying variables, ADD the
exponents.
Example:
Examples:
You try:
Examples:
You try:
Examples:

What is different here?
You try:
Examples:

You want to find the area of the
classroom. Your teacher tells you that
the length is 5 feet less than twice the
width. Write a single polynomial to
express the area of the room.
You try:
A rectangular garden is 2x + 3 units long
and 3x units wide.
 A) Draw a model of the garden.
 B) Find the area of the garden.

Hands up, pair up

Walk around the room, high-fiving your
classmates. When I say “pair up,” the
person that you are high-fiving becomes
your partner. Sit down together and wait
quietly for the next instructions.
Partner Ticket Out

Simplify the following:
1.
2.
Homework

1.5 Study Guide Worksheet
January 31st, 2013
Warm Up
3.
Multiply:
Multiply:
Simplify:
1.
Find the area of the rectangle:
1.
2.
Summarize

What types of polynomials have we
already multiplied?

What property did we use to multiply
them?
Can we classify these 2 polynomials?
(2x + 3)(5x + 8)
Multiplying a BINOMIAL and a
BINOMIAL

Guess what: we STILL use the
DISTRIBUTIVE PROPERTY.

But we also have some special tricks to
make distributing easier:
 FOIL
 Box Method
FOIL

FOIL is an acronym that can help you
multiply two binomials.
F – First
 O – Outside
 I – Inside
 L – Last

Let’s see how it works…
(y + 3)(y + 7)
Examples:
(2x + 3)(5x + 8)
Examples:
(2x – 1)(-4x + 4)
You try:
(8x + 1)(x – 3)
You try:
(5x – 3)(10x – 2)
Why is FOIL the same as the
Distributive Property?
Box Method

The box method is more visual and can
help you make sure that you have not
missed multiplying any terms.
Box Method



Draw a box and
write one binomial
on the top and the
other on the bottom.
Multiply each pair of
terms.
Your answer is on
the inside of the
box. Combine like
terms to write your
final answer.
Example: (3x – 5)(5x + 2)
Example:
(7p – 2)(3p – 4)
Example:
(2a – 3b)(2a + 4b)
You try:
(6p – 4)(p + 10)
You try:
(p – 3)(4p – 7)
Why is the Box Method the same
as the Distributive Property?
A Binomial SQUARED
What does it mean to SQUARE a number?
How could we simplify the expression
(4x + 1)2 ?
You try:

Use either method to simplify the
following:
(2x –
2
3)
Writing assignment

Tell whether you prefer to multiply
binomials using the FOIL method or the
Box method. Explain why you prefer that
method in 2-3 sentences.
Practice Time
Cut the DARK squares apart.
 Multiply each pair of binomials and
match your answer to another square.
 When you think you have matched all of
the squares, let me know and I will come
check your work. If it is correct, I will
bring you paper and glue to glue down
your puzzle.

Homework

Quotable puzzle – you must show your
work!
February 1st, 2013
Warm Up
1.
Find the area of the rectangle below:
2.
Find the area of a SQUARE with side
length (x + 3)
Summarize

What type of polynomials have we
multiplied so far?
Can we classify the polynomials
below?
(3x +
2
7)(2x
– x + 5)
How can we multiply them?
(3x +
2
7)(2x
– x + 5)
Example:
(r –
2
2)(3r
+ 4r – 1)
Example:
(4ab – 2a + 3)(a + b)
You try:
(5x +
2
2)(3x
– 8x + 10)
You try:

Find the area of the rectangle below:
Write your own
Create 3 problems for your partner to
simplify:
1. MONOMIAL times a BINOMIAL
2. BINOMIAL times a BINOMIAL
3. BINOMIAL times a TRINOMIAL

Instructions

Now on a separate sheet, you should
simplify each expression.
Once you both are finished simplifying
your own expression, exchange the
problems (without the work) with your
partner.
 Simplify your partners expressions then
exchange back and check each others’
work.

Put it all together

Simplify: 3a(a2 – 4) + 5a2(2a + 10)
You try!
 Simplify:
-4b(2b + 1) – 8(b2 + 2b – 2)
 Simplify:
x2(x + 1) + 5x(x – 3) – 4(x + 10)
Multiplication practice
Around the World
I will assign your group and tell you where
to begin.
 Lift up the flap and simplify the expression
underneath. Look for your answer
somewhere else around the room and go
there to complete the next problem.
 The problems form a circuit. If you have
done everything correctly, you should end
up where you begin.
 Be sure to show your work for every
problem. This is how you will earn your
QUIZ grade.

Ticket Out
On a separate sheet of paper, simplify
each of the following:
1.
2.
(8x – 2)2
2
(5x + 6)(x – 2x + 5)
3. Write 3-5 sentences
explaining to your friend how
to multiply polynomials.
Homework
Workbook
p. 232 (#35-41)