# Chapter 1 Lesson 2 ```Math 8
Chapter 1
Lesson 2 page 15
Page 15
Essential Question:
Why is it helpful to write numbers in different ways?
Common Core State Standards:
8.EE.1
Mathematical Practices:
1,3,4, 8
I can use powers and exponents to write large and small
numbers
Calculators
Engage
Vocabulary
Notes
Vocabulary Word
Power
A product of
repeated factors
expressed using
an exponent
and a base.
Base
In a power, the
number that is
the common
factor.
Exponent
In a power, the
number of
times the base
is used as a
factor.
Symbols
Model
Notes
Power
Base
Exponent
Or Calculator
Value
Explore/Explain
Chart
Internet Activity
Powers
Examples - Complete
Problem
(-2)(-2)(-2)*3*3*3*3
a*b*b*a*b
(-2/3)4
25*7
a2 + b4
If a=3 and b=5
(a - b)2
If a=3 and b=5
x3 + y5
If x=4 and y=2
Base
Exponent
Power
Value
Elaborate
Guided Practice
Guided Practice page 18
Write using exponents.
1. (-11)(-11)(-11) = (-11)3
Write using exponents.
3. r*s*r*r*s*s*r*r = r5*s3
Evaluate.
5. (-4)4 = -4*-4*-4*-4 = 16*16 = 256
Animal
Weight (lb)
Value
Black Bear
2*52*7
2*25*7 = 50*7= 350 lbs
Key Deer
3*52
3*25 = 75 lbs
Panther
23*3*5
8*3*5 = 24*5 = 120 lbs
7. The table shows the average weights of some endangered mammals.
What is the weight of each animal?
Evaluate each expression if x=2 and y=10.
(x2 +y)3 =
(22 +10)3 =
(2*2 +10)3 =
(4 +10)3 =
(14)3 =14*14*14
2,744
Guided Practice page 18
Guided Practice Page 18 - Even
2. 23*33
4. 64
6. 1/343
8. 10,004
10. The repeated factor is the base. The number of
times it repeats is the exponent.
Explore/Explain
Got It Problems
Got it A-C page 16
Write using exponents
A. &frac12; * &frac12; * &frac12; * &frac12;
B. 4*4*4*5*5
C. m*m*n*n*m
Got it A-C Answers page 16
Write using exponents
A. &frac12; * &frac12; * &frac12; * &frac12; = (1/2)4
B. 4*4*4*5*5 = 43*52
C. m*m*n*n*m = m3*n2
Got it D-F page 17
Evaluate
D. 44
E. (-2) 6
F. (1/5) 3
Got it D-F Answers page 17
Evaluate
D. 44 = 256
E. (-2) 6 = 64
F. (1/5) 3 = 1/125
Got it G page 17
G. A school basketball court has an area of 23*3*52*7
square feet. What is the area of a school basketball
court?
Got it G Answer page 17
G. A school basketball court has an area of 23*3*52*7
square feet. What is the area of a school basketball
court?
2*2*2*3*5*5*7 = 8*3*25*7 = 200 * 21 = 4,200 sq ft
Got it H-J page 18
Evaluate each expression if c=-4 and d=9.
H. c3 + d3
I. (c+d) 3
J. d3 – (c3 – 2)
Got it H-J Answers page 18
Evaluate each expression if c=-4 and d=9.
H. (-4)3 + 92 = -4*-4*-4 + 9*9 = -64+81 = 17
I. ((-4)+9) 3 = 53 = 5*5*5 = 125
J. 93 – ((-4)2 – 2) =
93 – (-4*-4 – 2) =
93 – (16 – 2) =
93 – (14) =
9*9*9 - 14 = 729 – 14 = 715
Evaluate
Classwork Activities
Classwork
1. Find Someone Who