Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can express an entire radical with a numerical radicand as a mixed radical.

I can express a mixed radical with a numerical radicand as an entire radical.

3.1 Compare and order radical expressions with numerical radicands.

3.2 Express an entire radical with a numerical radicand as a mixed radical.

3.3 Express a mixed radical with a numerical radicand as an entire radical.

Page 182 - 183

Questions #1, 5, 10a and d, 11a and d, 16 (Key Question) and 18

Resources:

Simplifying Radical Expressions (Brightstorm)

http://www.brightstorm.com/math/algebra/radical-expressions-and-equations/simplifying-radical-expressions/

Simplifying Radical Expressions 1 – Khan Academy

http://www.khanacademy.org/video/simplifying-radical-expressions1?playlist=Algebra+I+Worked+Examples

Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can add and subtract radicals

I can simplify radicals

I can convert from mixed to entire radicals

3.4 Perform one or more operations to simplify radical expressions with numerical or variable radicands.

Page 188 - 190

Questions #1, 4, 5, 9, 11, 14 (Key Question) and 20

Resources:

Adding and Subtracting Radical Expressions (Brightstorm)

http://www.brightstorm.com/math/algebra/radical-expressions-and-equations/adding-and-subtracting-radical-expressions/

Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can multiply an divide radicals

I can simplify radicals

I can convert from mixed to entire radicals

3.4 Perform one or more operations to simplify radical expressions with numerical or variable radicands.

3.5 Rationalize the monomial denominator of a rational expression.

Page 198 - 200

Questions #3, 4a and d, 5b, e and f, 8, 16a, c and d, 18, 19b, 20 (Key Question) and 22

Resources:

Multiplying Radical (Brightstorm)

http://www.brightstorm.com/math/algebra/radical-expressions-and-equations/multiplying-and-distributing-radical-expressions/

Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can perform one or more operations to simplify radical expressions with numerical or variable radicands.

I can rationalize the denominator of a radical expression.

3.4 Perform one or more operations to simplify radical expressions with numerical or variable radicands.

3.5 Rationalize the monomial denominator of a radical expression.

3.6 Identify values of the variable for which the radical expression is defined.

Page 211 - 213

Questions #1, 3b – d, 8a, c and d, 10b and d, 12b –d, 15 (Key Question) and 16

Resources:

Dividing Radicals(Brightstorm)

http://www.brightstorm.com/math/algebra/radical-expressions-and-equations/dividing-radicals-and-rationalizing-the-denominator/

Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can perform one or more operations to simplify radical expressions with numerical or variable radicands.

I can rationalize the denominator of a radical expression.

I can identify the values of the variable for which the radical expression is defined.

4.2 Determine, algebraically, the roots of a radical equation, and explain the process used to solve the equation.

4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of the equation.

Page 215

Questions #1a and c, 3 and 5

Resources:

Main Concepts in Lesson:

Achievement Indicator:

AFL's Assigned to Assess

I can determine the restrictions on values for the variables in a radical equation.

I can calculate algebraically, the roots of a radical equation.

I can explain the process used to solve the radical equation.

I can verify, by substitution, the solution of a radical equation.

I can explain why some roots are extraneous.

I can solve problems that are modeled by a radical equation.

4.1 Determine any restrictions on values for the variable in a radical equation.

4.2 Determine, algebraically, the roots of a radical equation, and explain the process used to solve the equation.

4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of the equation.

4.4 Explain why some roots determined in solving a radical equation algebraically are extraneous.

4.5 Solve problems by modeling a situation with a radical equation and solving the equation.

Page 222 - 224

Questions #1b and d, 2a and c, 4, 8b and c, 11, 14 and 15 (Key Question)

Resources:

Solving Radical Equations (Brightstorm)

http://www.brightstorm.com/math/algebra/radical-expressions-and-equations/solving-radical-equations/

Solving Radical Equations 1 – Khan Academy

http://www.khanacademy.org/video/solving-radical-equations-1?playlist=Algebra+I+Worked+Examples

Solving Radical Equations – Khan Academy

http://www.khanacademy.org/video/solving-radical-equations?playlist=Developmental+Math+2

Extraneous Solutions for Radical Equations – Khan Academy

http://www.khanacademy.org/video/extraneous-solutions-for-radical-equations?playlist=Developmental+Math+2

Radical Equation Application Problem – Khan Academy

http://www.khanacademy.org/video/radical-equation-application-problem?playlist=Developmental+Math+2