Unit 4: Radicals
Lessons with Approximate Time: 14 Days
Day 1
U4L1: Mixed and Entire Radicals
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) Simplifying Radical Expressions 1 – Khan Academy http://www.khanacademy.org/video/simplifying-radical-expressions1?playlist=Algebra+I+Worked+Examples |
Day 2 and 3
U4L2: Adding and Subtracting Radicals
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/ |
Day 4 and 5
U4L3: Multiplying and Dividing Radicals
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/ |
Day 6 and 7
U4L4: Simplifying Algebraic Expressions Involving Radicals
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/ |
Day 8 and 9
U4L5: Exploring Radical Equations
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: |
Day 10 and 11
U4L6: Solving Radical Equations
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 Academyhttp://www.khanacademy.org/video/solving-radical-equations-1?playlist=Algebra+I+Worked+ExamplesSolving Radical Equations – Khan Academyhttp://www.khanacademy.org/video/solving-radical-equations?playlist=Developmental+Math+2 Extraneous Solutions for Radical Equations – Khan Academy Radical Equation Application Problem – Khan Academyhttp://www.khanacademy.org/video/radical-equation-application-problem?playlist=Developmental+Math+2 |
Days 12, 13 and 14
Assessment
Unit 4: AFL Questions:
Unit 4: Assignment
Unit 4: Exam