January 31, 2013 Agenda - Add/Subtract Practice Do Now - Add/Subtract Exit Slip - Complex Fractions - Worksheet/Mini Project January 31, 2013 House Cleaning (aka Important Reminders) - Mastery Quiz Standard 7.0 (Simplifying, Multiplying, Dividing, Adding, Subtracting, Complex Fractions) January 31, 2013 Learning Target: 7F – SWBAT simplify complex rational expressions (complex fractions) Standard: 7.0* Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. Date: January 31, 2013 What is this asking us to do? Is there another way to set this up to make it easier to work with? 9 8 5 4 January 31, 2013 Terms, Equations, Notes Complex Fraction: Fractions in fractions son! Steps: 1) Simplify both the numerator and the denominator to single rational expressions (add or subtract them) 2) Multiply the numerator by the reciprocal of the denominator (this is really just a division problem!) 3) Simplify if possible Steps: 1) Factor all numerators and denominators completely 2) Find LCD of all terms!!! 3) Multiply each term by LCD 4) Simplify Procedures, Examples Example 1 January 31, 2013 What operation is occurring between a numerator and a denominator in a fraction? 1) Multiplication 2) Division 3) Addition January 31, 2013 Example 2 Simplify 1 1 - 1 x January 31, 2013 What operations/skills are we using from this unit when we work with Complex Fractions? Discuss them with a partner and put them in order. Make sure you are able to explain how to perform each skill/explain what is essential for each concept. January 31, 2013 Example 3 Simplify 3 2 x + 1 x-2 January 31, 2013 Thinking Deeply..... Think on your own for 30 seconds. You may refer to your notes, steps and examples. Then I will ask students to respond to the class. Write your own complex fraction using just numbers (no variables) and solve! The complex number should have both an adding and a subtracting component (one in the numerator and one in the denominator) January 31, 2013 HW Please Copy into your notebook Title: "Complex Fractions HW" 1. 2. 3. 4.
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