Powers and Exponents...1 Module Powers and Expnents.notebook 1 September 13, 2019 Nov 4 10:26 AM...
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1 Module Powers and Expnents.notebook 1 September 13, 2019 Nov 410:26 AM Powers and Exponents Lesson objectives Teachers' notes 1) Power Rules 2) Multiplying and Dividing polynomials with monomials Multiplying binomials 3) Working with Negative Exponents 4) Multiplying Power to a power
Transcript of Powers and Exponents...1 Module Powers and Expnents.notebook 1 September 13, 2019 Nov 4 10:26 AM...
1 Module Powers and Expnents.notebook
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Powers and Exponents
Lesson objectives Teachers' notes
1) Power Rules
2) Multiplying and Dividing polynomials with monomials
Multiplying binomials
3) Working with Negative Exponents
4) Multiplying Power to a power
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Teachers' notesLesson objectives
Subject:
Topic:
Grade(s):
Prior knowledge:
Mathematics
Powers and Exponents
Grade 8
Integers and Variables
Lesson notes:
8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.
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Aim: What are the Laws of Exponents for Multiplication and Division?
Just like we can multiply two numbers together, we can also multiply two exponents together. To do this, we follow the Product of Powers Rule
Product of Powers Rule: To multiply exponents that have the same base, simply add the exponents.
am • an = am+n
pageNotes
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pageNotes
Aim: What are the Laws of Exponents for Multiplication and Division?
This can be seen if we actually count factors when multiplying exponents
75 • 74 =
It is very important to remember that bases have to beTHE SAME!!!!!!
= 79
9 factors
(7 • 7 • 7 • 7 • 7)
5 factors
(7 • 7• 7 • 7) •
4 factors
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Examples1) x3 • x5 2) w6 • w15
When there is a coefficient (number in front of the variable) we multiply them together.
3) 2x5 • 3x7 4) 3a3 • 4a4
pageNotes
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pageNotes
Aim: What are the Laws of Exponents for Multiplication and Division?
Dividing exponents... To divide exponents that have the same base, simply subtract the exponents
a9 ÷ a5 = a4
a a a a a a a a aa a a a a
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Examples5) f8 ÷ f3 6) g52 ÷ g2
When there is a coefficient, we divide them. 7) 12x5 ÷ 2x2 8) 15n7 3n4
pageNotes
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pageNotes
Aim: How do we multiply a monomial with a polynomial? How do we divide a
polynomial by monomial?
To multiply a monomial by a polynomial:• Distribute• Follow the Laws of Exponents
1. Multiply the coefficients2. If the bases are the same keep the base and
add the exponents
2x(3x2 + 4x 6) =
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Attachments
Fluency exponents in expanded form
Fluency Product Rule Numerals
Fluency Product Rule Variables
Fluency Quotient Rule
Fluency Quotient Rule Variables
Fluency power rule variables
Extra Credit Laws of exponents
