1. Do Now 4/12/19 Take out HW from last night. Copy HW in your planner.
Text p. 485, #8-36 evens, #46-54 evens
Copy HW in your planner.
Text p. 485, #56-60 evens, #76-90 evens
Go Formative and simplify the following expressions.

2. Homework Text p. 485, #8-36 evens

3. Homework Text p. 485, #8-36 evens

4. Homework Text p. 485, #46-54 evens

5. Learning Goal Learning Target
SWBAT simplify, graph, and define characteristics of radical functions and solve quadratic equations
Learning Target
SWBAT use properties of radicals to simplify expressions, simplify expressions by rationalizing the denominator, and perform operations with radicals. 

6. Section 9.1 “Properties of Radicals”
A radical expression is in simplest form if the following conditions are true:
The rules also apply for simplifying cube roots and nth roots.
No perfect square factors other than
1 are in the radicand.
-No fractions are in the radicand.
No radicals appear in the
denominator of a fraction.

7. Product Property of Radicals
The square (or cube) root of a product equals the product of the square ( or cube) roots of the factors.

8. Quotient Property of Radicals
The square root of a quotient equals the quotient of the square roots of the numerator and denominator.

9. Rationalizing the Denominator
Whenever there is a radical (that is not a perfect square) in the denominator, the radical must be eliminated by rationalizing the denominator.
Need to
rationalize the
denominator
Multiply by 1
Product property
of radicals
Simplify

10. Real World Connections
The orbital period of a planet is the time it takes the planet to travel around the Sun. You can find the orbital period P (in Earth years) using the formula , where d is the average distance (in astronomical units AU) of a planet from the Sun.
a). Simplify the formula.
b). What is Jupiter’s orbital period.

11. Real World Connections
c). One step further. Search the Internet for the AUs for another planet. Calculate the orbital period.

12. Adding and Subtract Radicals
Part 2
Adding and Subtract Radicals
You can add and subtract radicals that have the same radicands.
Think of as combining ‘like terms’
Look for common radicands
Simplify

13. Try It Out…

14. Multiplying Radical Expressions
You can multiply radical expressions the same way you multiplied monomials and binomials using the distributive property and FOIL.
simplify & combine like terms

15. Try It Out…
simplify & combine like terms

16. Conjugates Need to use a conjugate to Multiply by 1
rationalize the denominator
Multiply by 1
Product property of radicals
simplify & combine like terms
Simplify

17. Try It Out… Need to use a conjugate to Need to use a conjugate to
rationalize the
denominator
Need to use a conjugate to
rationalize the
denominator
Multiply by 1
Multiply by 1
Simplify
Simplify

18. Clock Partners
With your 6:00 partner, complete text p. 485, #13, 17, 23, 27, 31, 33, 47, 51, 55, 57, 83, & 87