Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Monomials
Multiplying Monomials
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Vocabulary –Shoot For The Stars
30 seconds
• I got this! I know this word AND I could even
teach it to somebody else.
• I think I know this word, but I need more practice.
• I am clueless! I have no idea what this word
means.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Vocabulary
• Monomials - a number, a variable, or both
• a, 4x, or -6.
• Constant – a number without a variable.
• Coefficient – A number that is attached to the front of a
variable. In the monomial, 5x the 5 is the coefficient.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Steps for Multiplying
Monomials
Step 1 – Write everything out in expanded form.
Step 2 - Multiply the Coefficients.
Step 3 – Re-write using exponents.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Multiplying Monomials Analogy
How Do You Clean a Gun?
3 – Put it back
together
1 - Take it apart
2 – Do what
you gotta
do to clean
it.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Steps for Multiplying
Monomials
Step 1 – Write everything out in expanded form.
Step 2 - Multiply the Coefficients.
Step 3 – Re-write using exponents.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Multiplying Monomials
When x like bases, you add the exponents.
am • an = am+n.
1) a × a = a
2
10
12
2) w × w = w
5
5
3) q × r = qr
9
NOW YOU
TRY
4) ( k
4
5
13
)( k ) = k
3
8
5) x × y = x y
2
2
2
2
If the variables
are different,
you can’t add
them, just
combine them.
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Multiplying Monomials
If the monomials have coefficients, multiply
those, but still add or combine the powers.
1) ( 4a )(2a ) = 8a
2
10
2) ( 7x ) (10w ) =70x 2 w10
9
4
13
3) ( 2r)(-3r ) = -6r
5
NOW YOU
TRY
4) (3k
5)
6
)(7k ) = 21k
(12x )(2y ) = 24x y
5
3
2
8
2
2
2
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
COMMERCIAL BREAK
“The trouble with not having a goal
Is that you can spend your life running up
and down the field and never score.”
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Multiplying Monomials
These monomials have a mixture of
different variables. Only add powers of like
variables.
1) ( 4a b )(2a b ) = 8a b
12 7
2 5
10 2
2) (7w y )(10w y ) = 70w y
3
5
6 3
3) ( 2rt )(-3r ) = -6r t
5
4
3 3 3
8 4 7
4) (3k mn )( 7k m n ) = 21k m n
9 3
NOW
YOU
TRY
4
13 4
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Think Pair Share
What are the three steps to multiplying
monomials?
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
GIST Summary
Write three or four sentences in your own words
which answer the essential question above…
Essential Question: HOW IS MULTIPLYING MONOMIALS
SIMILAR TO CLEANING A GUN?
Assignment –Shoot For The Stars
30 seconds
• I got this! I know how to do this AND I could
even teach it to somebody else.
• I think I know this, but I need more practice.
• I am clueless! I have no idea what to do.