Post on 07-Aug-2018
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations Exploratory Activity
1. A. With your partner, fill in the table below about exponents and then describe the Product Rule.
Expression Repeated Multiplication Simplified Form
2 43 3 3< <
4 2 34 4 4< <
6 39 9<
7 9 2a a a< <
B. The Product Rule for Exponents: m na a =< ___________
2. A. With your partner, fill in the table below about exponents and then describe the Division Rule and Negative Exponent Rule.
Expression Repeated Multiplication Simplified Form
2
433
4
344
3
699
17
9aa
B. The Division Rule for Exponents: m
n
xx
= __________
C. The Negative Exponent Rule: mx− = ____________
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.47
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
3. With your partner, fill in the table below about exponents and then describe the pattern you see.
Expression with Exponents
Simplified Expression without Exponents
23
22
21
20
2-1
2-2
4. A. With your partner, fill in the table below about exponents and then describe the Zero Exponent Rule.
Expression Repeated Multiplication Simplified Form
4
433
3
344
6
699
9
9aa
B. The Zero Exponent Rule: 0x = _________, x ≠ 0.
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.48
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
5. A. With your partner, fill in the table below about exponents and then describe the Power of a Product or Quotient Rule.
Expression Repeated Multiplication Simplified Form
( )23 2<
( )35 3<
( )5abc
( )42x
6ac
B. The Power of a Product or Quotient Rule for Exponents: ( )mxy = ___________ and m
xy
__________
6. A. With your partner, fill in the table below about exponents and then determine the Power to a Power Rule.
Expression Repeated Multiplication Simplified Form
( )243
( )325
( )53 2ab c
( )422x
62
3ac
B. The Power to a Power Rule for Exponents: ( )nmx = ____________
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.49
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
Lesson Summary
Rules for Exponents
Product Rule ______m na a a=< Zero Exponent
Rule 0 _____a =
Division Rule ______m
na aa
= Power of a Product
Rule ( ) _____na b =<
Power of a
Quotient Rule ma
b=
Negative Exponent Rule
______1n a
a= Power to a Power
Rule
nm
pab
= and ( ) _____nm pa b =<
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.50
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
Homework Problem Set 1. Think about order of operations to insert parentheses to make each statement true. If you are having
trouble remembering the Order of Operations, watch the YouTube video by Math Antics https://www.youtube.com/watch?v=dAgfnK528RA. A. 2 + 3 × 42 + 1 = 81 B. 2 + 3 × 42 + 1 = 85 C. 2 + 3 × 42 + 1 = 5 D. 2 + 3 × 42 + 1 = 53
2. Simplify each expression so that there are no negative exponents.
A. ( )02xy B. ( )32x C. 22yx
D. ( ) 11abc−− E. 2 4 2
3 2
a b cab c
−
F. 42
3
ab
−−
G. 34
2
mn−
H. 1 0 2
2 1 3
m n pm n p
−
− I. ( ) 23mnp
−
J. 3 2
3 2 1
d e fd e f− − −
K. 3 2 4d d d−< < L. 3 2
7 4
e ee e−
<
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.51
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Hart Interactive – Algebra 1 M1 Lesson 6A ALGEBRA I
3. Determine what integer can be placed in the blank to make the statement true.
A. 43 2 12
3 ____a b ab b− = B. ( )
_____234 24
ba ba
−− =
C. 2
2 3____ 3
aa ba b
−−= D. ( )
303 5____ ____
aa ba b
=
4. Four Number Game: Use the numbers 1, 2, 3 and 4 no more than once for each problem. You may use any operations including powers and parentheses. You may NOT create a 2-digit number (1 & 2 ≠ 12). For example, if the number was 10, then we could do any of the following: 1 + 2 + 3 + 4 = 10 or 2 • 3 + 4 = 10 or 32 + 1 = 10.
A. The number is 12: _____________________________________________________________________ B. The number is 15: _____________________________________________________________________ C. The number is 25: _____________________________________________________________________ D. The number is 32: _____________________________________________________________________
Lesson 6A: Algebraic Expressions—Exponent Rules & Order of Operations
S.52
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from ALG I-M1-TE-1.3.0-07.2015
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.