unit: 2 the powers that be. unit essential question: how can rational and irrational numbers be...
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Unit: 2
The Powers The Powers That BeThat Be
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Unit Essential Question:•How can rational and irrational numbers be expressed by exponents, square roots and scientific notation?
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Standard(s): M8N1•Students will understand different representations of numbers including square roots, exponents, and scientific notation
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Standard(s): M8G2:
•Students will understand and use the Pythagorean theorem.
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Concept 1:
Exponent Notation
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Lesson Essential Questions:
•1. How do we write numbers using exponents?•2. How do we use
exponents within the order of operations?
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Vocabulary 1:
Exponent Base
PowerSquared
Cubed
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Concept 2:
Multiplication and Division of
Exponents
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Lesson Essential Questions:• 1. How do I multiply powers with
the same base?• 2. How do I divide powers with the
same base?• 3. How do I simplify a power to a
power?• 4. How do I simplify expressions
with negative and zero exponents?
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Vocabulary 2:
Power to a Power
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Concept 3:
Scientific Notation
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Lesson Essential Questions:
• 1. How do I write numbers in scientific notation?• 2. How do I calculate with
scientific notation?• 3. When would I use scientific
notation?
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Vocabulary 3:
Scientific NotationExponential Notation
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Concept 4:
Rational/Irrational Numbers
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Lesson Essential Questions:
•1. How do I identify and classify numbers in the real number system?
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Vocabulary 4:Rational NumbersIrrational Numbers
Real NumbersWhole Numbers
IntegersNatural NumbersAdditive InverseSignificant Digits
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Concept 5:
Square Roots
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Lesson Essential Questions:
•1. How do I find the square root of perfect squares?•2. How do I estimate the
square root of a positive number?
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Vocabulary 5:
Square RootRadical SymbolPerfect Square
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Concept 6:
Operations with Radicals
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Lesson Essential Questions:
•1. How do I simplify radical expressions? •2. How do I add, subtract, multiply and divide radicals?
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Concept 7:
Pythagorean Theorem
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Lesson Essential Questions:
•1. What is the Pythagorean theorem?•2. How do I solve problems using the Pythagorean theorem?
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Vocabulary 7:Hypotenuse
Right TriangleLegs
Pythagorean theoremConverse
Pythagorean triple