1. ALGEBRA 2H12/5/14 5-8 Solving Radical Equations LEARNING TARGET: I can use inverse operations to solve radical equations… so that I can solve problems like estimating the braking speed of cars. HW: pp. 313 – 317, 320 WARM-UP: 1.What is 5 cubed? What is the cube root of 125? 2.What is 6 squared? What are the square roots of 36? Essential Question: How can you solve equations involving square roots and cube roots?

2. MATH BACKGROUND: 1. Students will use inverse operations to solve radical equations, which are equations in which the variable is in the radicand. The inverse of taking a root is raising to a power. For example, the cube root of 27 is 3, and 3 cubed is 27. 2. Squaring both sides of an equation may produce a solution that the original equation does not have. For example, the solution of x = 4 is 4. If both sides of x = 4 are squared, the result is x 2 = 16. This equation has two solutions: 4 and -4. Because of this, students must check that any solutions that result from squaring both sides of an equation are not extraneous (not a solution to the original equation). 3. While students solve only square and cube root equations in this lesson, extraneous solutions could appear when solving radical equations with nth roots when n is even.

3. Independent Work: Answer p. 313 Example 1A and 1B (5 minutes) Discuss your work with your seatmate or a partner in your team. (3 minutes) Present your solution to the class.

4. Independent Work: Answer Example 2A and 2B pp. 314-315 (5 minutes) Discuss your work with your seatmate or a partner in your team. (3 minutes) Present your solution to the class.

5. Independent Work: Answer Example 3 p. 316 (5 minutes) Discuss your work with your seatmate or a partner in your team. (3 minutes) Present your solution to the class.

6. Math Journal: (5 minutes) Answer the Essential Question: How can you solve equations involving square roots and cube roots?