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Unit 3 Day 1
Properties of Exponents
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Warm Up
How much do you remember about exponents? Use expanded form to write the rules of the exponents.
Get out:Unit 3 Packet cover & Last Night’s Homework
Hint:Expanded form:
23 = 2•2•2
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Warm Up ANSWERS
How much do you remember about exponents? Use expanded form to write the rules of the exponents.
3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = 36
y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y = y14
12 ∙ 12 ∙ 12 ∙ 12 ∙ 12 ∙ 12 ∙ 12 ∙ 12 = 128
am+n
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Warm Up ANSWERSHow much do you remember about exponents? Use expanded form to write the rules of the exponents.
= 343 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 33 ∙ 3
= y6y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ yy ∙ y ∙ y ∙ y
= 12212 ∙ 12 ∙ 12 ∙ 12 ∙ 12 12 ∙ 12 ∙ 12
am-n
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Warm Up ANSWERSHow much do you remember about exponents? Use expanded form to write the rules of the exponents.
134
3 ∙ 33 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 Or 32-6 = 3-4
y ∙ y ∙ y ∙ yy ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y ∙ y
1y6 Or y4-10 = y-6
1122
12 ∙ 12 ∙ 1212 ∙ 12 ∙ 12 ∙ 12 ∙ 12 Or 123-5 = 12-2
a-n
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Warm Up ANSWERSHow much do you remember about exponents? Use expanded form to write the rules of the exponents.
(3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3) (3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3) = 312
(y ∙ y ∙ y) (y ∙ y ∙ y) (y ∙ y ∙ y) (y ∙ y ∙ y) = y12
(12m) (12m) (12m) (12m) (12m) = 125m5
amn
anbn
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Homework AnswersUnit 2 Packet p. 25
I T I S A S L O P E U P
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Homework AnswersUnit 2 Packet p.26 #1-15 all, #17-35 odds
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Homework AnswersUnit 2 Packet p.25 #1-15 all, #17-35 odds
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Homework:
Packet pg. 1 - 2 AND
Print Packet, if you haven’t yet.
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The Lesson…a few together!
Now you try through the bottom of the
page…
5 x+2 = 57
x = 5
You can only do this if all of the terms have
the same base!!!
3x = 6
x = 2
You Try!
2-x = 0
x = 2
-2x = -2
x = 1
x + 2 = 7
5 3x = 563 -2x = 3-2
5 2-x = 50
1.
2.
3.
4.
6.
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x = 2 x = 1 x = 2
x = 2
x = 0
x = 1/2
x = 2
x = 10
x = -6
x = 5 x = 4 x = 1/3
You Try the Rest!1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
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Together = you try
x = 2, y = 2 x = 3, y = 6 x = 2, y = 3
x = 2, y = 2 x = 2, y = 12 x = 0, y = 6
(1, 11)
(2, 10)
(6, 6)
(3, 6)
(18, 1)
(2, 9)
(5, 5)
(4, 4)
(1, 1)
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Work Shown here!
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Complete Parts IV and V
Wait to switch with your neighbors until I give the word…
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Check your Neighbor’s Answers!
Part IV.
2(4 )( ) 4x x x2
3
xx
x
2 22 3
5
5045
5
c dc d
cd
2 3 1 1
x xx
3
10c
d
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Check your Neighbor’s Answers!
Part V.2 3 5(2 )x y
2
6
3x
y
2 2(3 ) ( )x x
2
2
2
8
xy
x y2 4 33 2 x x
4( 2 )xy
10 1532x y 1
9
4
y
x
416
9
x 4 416x y
2
6
3!
xsimplified
y
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Work shown here!
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Extra Practice Part VI. Simplify and rewrite without negative exponents.
3
2
6c
d
7
8
a
b
15
1
8c
6
6
x 12
1
x
14g
16 22x y 1
4
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Homework:
Packet pg. 1 - 2 AND
Print Packet, if you haven’t yet.
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Graffiti Wall Activity• Use the exponent properties we have learned to
write equivalent expressions to the one at the top of each paper around the room
• You can use additional properties at each step, but must at least use the listed property
• ONLY do one bullet in each rotation
• When you are finished, your neighbor will check your expressions and you will check theirs!
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Tests Returned
Reminder:
– If you received a 70% or lower you should come to tutorials to complete test corrections. The test corrections will count as a single homework grade.
– There are no test retakes.
– There is a Midterm MasteryTest at the end of the quarter. If you earn a 70% or higher on the Midterm Mastery Test, then one test grade below a 70 can be replaced by a 70%.