Day 54 - Simplifying Radical Expressions - 04.06.15

  • Unit 4 Test
    • Average = 80%


Bell Ringer

  • Square Roots and Rational Exponents


                                Exit Ticket
                                • Posted on the board at the end of the block!
                                Lesson Objective(s)
                                • How can radicals be simplified?
                                  1. Explain why the sum of two square roots is not equal to the square root of their sum.
                                  2. Convert expressions to simplest radical form.
                                  3. Use conjugate radicals to simplify radical expressions.

                                                                                              In-Class Help Requests

                                                                                              • 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