### Day 59 - Solving Radical Equations - 04.13.15

• Unit 5 Test on Friday, April 17th!
• Go over Quiz 5-1

Questions

Bell Ringer
1. Solve the following equation:

1. -3

2. 18

3. 3

4. none of the above

2. Solve the following equation:

1. -3

2. 18

3. 3

4. none of the above

3. Solving the following equation:

1. 10

2. 100

3. 0

4. -100

5. none of the above

4. Solve the following equation:

1. 2

2. none of the above

5. Solve the following equation:

1. -1

2. 1

3. 0

4. 6

5. none of the above

Review
• Square Roots and Rational Exponents
• Radical Properties (video)
• Simplifying Radical Expressions (video) (example video)

Lesson
• Solving Radical Equations

Exit Ticket
• Posted on the board at the end of the block!
Lesson Objective(s)
• How can radical equations be solved?
Skills
1. Solve radical equations ensuring to test for extraneous solutions.
2. Explain each step taken in solving radical equations.

#### In-Class Help Requests

Standard(s)
• CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
• CC.9-12.N.RN.1 Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.
• CC.9-12.N.RN.2 Extend the properties of exponents to rational exponents. Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Mathematical Practice(s)
• #1 - Make sense of problems and persevere in solving them
• #2 - Reason abstractly and quantitatively
• #7 - Look for and make use of structure

Past Checkpoints
• N/A