1. 10/31/14

2.  Objectives: Simplifying quotients (fractions) using laws of exponents  Vocabulary: Rational expression = An expression with a numerator and a denominator, or, the ratio of two polynomials.  Tools and Rules:  Exponents  Examples:  (In-class)  Homework:  Pg. 213 (Written) #1-20 all

4.  Objectives: Use Sci. Notation to deal with very large or very small numbers.  Vocabulary: Notation- A way of writing something that usually involves symbols, characters, or abbreviations.  Tools and Rules: Scientific Notation- A number in the form m x where 1 < m < 10, and n is an integer.  Examples: In-Class, Homework: Pg. 223 (ORAL): #1-8 All; (WRITTEN) #1-20 evens

5.  Objectives: Understand how to identify which digits are significant in a solution.  Vocabulary: Significant Digit (aka Significant Figure): Any non-zero digit or any zero that has a purpose other than placing the decimal point. (See pg. 221)  Tools and Rules: Rules for Sig Digs (Sig Figs): See Hand-Out  Examples: In-Class

6.  Objectives: Learn how to simplify rational expressions.  Vocabulary: Rational Expression- See 5.1-5.2 notes. Numerator: Top part of a fraction/rational expression. Denominator: Bottom part of a fraction/rational expression.  Tools and Rules: To simplify a rational expression, factor the numerator and the denominator, then cross out common factors.  Examples: In-Class Homework:  Pg. 228  #1-14 all (Written)

7.  Objectives: To multiply and divide rational expressions.  Vocabulary: None.  Tools and Rules: When you divide, flip (one after the division sign) and multiply.  Examples: In class. Homework:  Do Pg. 229 #22-26 evens  Do pg. 234 #2-14 evens

8.  Objectives: Add and Subtract rational expressions.  Vocabulary: none  Tools and Rules:  Examples: In-Class. Homework:Pg. 237 #1- 14 all

9.  Objectives: Simplifying complex fractions.  Vocabulary: Complex fraction- if numerator, denominator, or both has one or more fractions, or powers with negative exponents. Ex:  Tools and Rules:  Method 1)Simplify numerator and denominator separately; then divide.  Method 2) Multiply numerator and denominator by LCM of all the fractions appearing in the numerator and denominator.  For powers with negative exponents, first rewrite powers using positive exponents. Then simplify.  Examples: In-Class. Homework: Pg. 239 #1-10 all

10.  Objectives: Solve equations and inequalities with fractional coefficients.  Vocabulary : Coefficient: The number that is being multiplied by a variable. Ex: 3x….3 is the coefficient 2x/3…..2/3 is the coefficient -x……-1 is the coefficient x/5……1/5 is the coefficient  Tools and Rules: To get rid of all denominators in an equation or inequality, multiply both sides of an equation by the LCM.  Examples: In-Class. Homework: p. 245 #1-12 all

11.  Two types:  Work Problems  Two people (or things) with different rates that work together.  Formula:  Example:  % Mixture Problems  Two things with different amounts and different concentrations that are mixed together to form a new amount with a new concentration.  Formula: (%A)(Amount of A) + (%B)(Amount of B) = (%Mix)(Amt. A + Amt. B)  Example: Arnold Palmer mixes 5 quarts of iced tea that is 30% lemonade with 7 quarts of iced tea that is 50% lemonade. What percent of lemonade will he have when he mixes it together?  Homework: p. 245 #1-8all

12.  Objectives: Solving and using fractional equations.  Vocabulary: Fractional equation: an equation where a variable occurs in the denominator. Extraneous root: an “extra” root that occurs when transforming a fractional equation that is NOT part of the original equation.  Tools and Rules:  If you transform an equation by multiplying by a polynomial, always check each root of the new equation in the original one.  Examples: Homework: Pg. 249 #2- 16 evens