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Math Sec 5 – Science Option Mrs. Perks Who are you? 1. Who is your homeroom teacher? 2. Who was your teacher last year? 3. What are your strengths in math? 4. What are your weaknesses in math? 5. What is your goal mark for this year? 6. How can I help you get this? 7. Tell me something interesting about yourself. Course Outline Class Rules Homework Missed Notes & Tests Materials Needed Emails Reducing Radicals …but first, some review! Powers with Rational Exponents Remember… a must be a real number n can be any non-zero natural number Does not exist when n is even and a is negative Powers with Rational Exponents Example DOES NOT EXIST Powers with Rational Exponents Another Rule… Examples Laws of Exponents The five laws of exponents apply to rational exponents! 1. 2. 3. Laws of Exponents The five laws of exponents apply to rational exponents! 4. 5. Properties of Radicals If a and b are positive real numbers or 0, then: This symbol means “implies” An example with numbers: Properties of Radicals There are 4 properties: b≠0 Properties of Radicals There are 4 properties: ab ≠ 0 ab ≠ 0 Reducing the Radican We will have to use the 4 new properties to reduce radicals Example Write the radican as a product of 2 factors, with one of them being a perfect square Apply the new property Solving the Radican Example – Solve the square root equation 1+5 Your first few steps will be getting an equation that has a radical on one side, and a constant on the other. 6/3 Once you get this, you will square each side to eliminate the radical, then solve Solving the Radican Example – Solve the square root equation Homework Workbook p.15-16 #2,3,4,5,6 Textbook p.39 #1,3,4