Unit: 2
The Powers
That 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
Power
Squared
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 Notation
Exponential 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 Numbers
Irrational Numbers
Real Numbers
Whole Numbers
Integers
Natural Numbers
Additive Inverse
Significant 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 Root
Radical Symbol
Perfect 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 Triangle
Legs
Pythagorean theorem
Converse
Pythagorean triple