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