• What is meant by an irrational number?
• What type of equation would have an irrational solution?
• How do I know if a radical can be simplified?
• When will I use radicals again in math?
• Consider that you can represent the value of a radical in a diagram, but you may not be able to give it an exact decimal value.
• How do you determine the best strategy for finding solutions to a multitude of problems?

• To be able to solve more complicated equations.
• To be able to simplify expressions involving radicals.
• Recognize a radical and what it means.
• To be able to work with simple rational exponents.
• To be able to solve equations by using completing the square and quadratics.
• To be able to solve radical equations.

• White board problems in class.
• Quiz/Test
• Approximate the value of a square root without using a calculator.
• Explain, in words, what the square root of a number means.
  
  

Activities:

• Pythagorean theorem problems.
• Use geometric figures to represent irrational numbers.
• Find distances between bases on a baseball/softball field.

State Goals:
6.B.3c - Identify and apply properties of real numbers including pi, squares, and square roots.

8.D.3a - Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities.

8.D.3c - Apply properties of powers, perfect squares and square roots.