1. Unit: 2 The Powers That Be

2. Unit Essential Question: How can rational and irrational numbers be expressed by exponents, square roots and scientific notation?

3. Standard(s): M8N1 Students will understand different representations of numbers including square roots, exponents, and scientific notation

4. Standard(s): M8G2: Students will understand and use the Pythagorean theorem.

5. Concept 1: Exponent Notation

6. Lesson Essential Questions: 1. How do we write numbers using exponents? 2. How do we use exponents within the order of operations?

7. Vocabulary 1: Exponent Base Power Squared Cubed

8. Concept 2: Multiplication and Division of Exponents

9. 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?

10. Vocabulary 2: Power to a Power

11. Concept 3: Scientific Notation

12. 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?

13. Vocabulary 3: Scientific Notation Exponential Notation

14. Concept 4: Rational/Irrational Numbers

15. Lesson Essential Questions: 1. How do I identify and classify numbers in the real number system?

16. Vocabulary 4: Rational Numbers Irrational Numbers Real Numbers Whole Numbers Integers Natural Numbers Additive Inverse Significant Digits

17. Concept 5: Square Roots

18. 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?

19. Vocabulary 5: Square Root Radical Symbol Perfect Square

20. Concept 6: Operations with Radicals

21. Lesson Essential Questions: 1. How do I simplify radical expressions? 2. How do I add, subtract, multiply and divide radicals?

22. Concept 7: Pythagorean Theorem

23. Lesson Essential Questions: 1. What is the Pythagorean theorem? 2. How do I solve problems using the Pythagorean theorem?

24. Vocabulary 7: Hypotenuse Right Triangle Legs Pythagorean theorem Converse Pythagorean triple