Unit 2

Unit 2EquationsLesson 2.1EquationsLEQHow do we determine if the solution(s) to an equation are correct?REMEMBERThe solution to an equation is the value(s) that make it true.

It is possible for an equation to have no solutions or to have all solutions which is called an identity.

It is also possible to have an extraneous solution which is when you solve the equation, but the solution is not allowed because it violates a mathematical law.Example of ExtraneousExamples of solving equations:Pages 66-67 #s 14, 20, 26, 30, 36Homework:Pages 66-67 #s 7, 13, 17, 23, 29, 35, 39, 41 Bell Work:Lesson 2.2Word ProblemsLesson Essential Question:What are some of the different strategies that can be used to solve word problems?Proper Steps to get startedWe all know that word problems are a good time, but some students dont know how to get started. Here are three tips to make it easier:1) Read the stinking problem! Then reread the problem. Then re-re-read the problem!

2) If you still arent sure, see step number 1.

3) Define variables to identify what it is you are trying to find.Examples:Pages 77 80 #s 2, 6, 12, 16, 20, 28Homework:Pages 77 80 #s 1 11 odds, 15, 19, 23, 25, 27, 29Bell Work:While driving home last night, Mr. Kelsey was travelling on Rt. 54 heading from Turbotville to Danville at 63 mph. A giant groundhog ran across the road travelling perpendicular to Mr. Kelseys VW at 4 mph. Answer the following questions:1) Was Mr. Kelsey furious when he smashed the offspring of Bigfoot and a groundhog?2) How much damage do you think it did to his front fender and undercarriage?3) How many obscenities did Mr. Kelsey yell while inspecting the damage and trying to figure out if he could make it home?4) Did Mr. Kelsey scream in rage this morning when his check engine light came on?

14Classwork/Homework:Pages 77 80 #s 13, 17, 21, 24, 30, 31, 32, 33Bell Work:What are the four ways we can solve a quadratic equation????Lesson 2.3Quadratic EquationsLEQHow can we factor, complete the square, or use the quadratic formula to solve a quadratic equation?Solve by factoring:Solve by using the Square RootSolve by Completing the SquareSolve by Quadratic FormulaHomework:Page 90-91 #s 1, 11, 13, 17, 19, 23, 27, 29, 31, 35, 58

Solve each equation any way you want! Bell Work:Practice with solving Quadratics:Pages 90-93 #s 54, 55, 56, 57, 59, 60, 61, 62Bell Work:More Practice with Word Problems!!!!!!!!!!!!Pages 90-93 #s 63, 65, 67, 69, 70, 72, 74Bell Work:Quiz Tomorrow:Solving EquationsSolving Equations Word ProblemsSolving Quadratic EquationsSolving Quadratic Equations Word Problems

Look over the examples and homework problems from 2.1 2.3.Lesson 2.4Complex NumbersLEQHow do we solve for an equation that has complex solutions?Complex NumbersSimplifying ExpressionsWe can simplify expressions involving complex numbers.

Page 101 #s 8, 18, 20, 32Solving Equations:Page 101 #s 42, 48Homework:Page 101 #s 1, 5, 9, 13, 15, 17, 23, 31, 33, 39, 45, 47, 51

Bell Work:Bell Work:Lesson 2.5Radical EquationsLEQHow do we solve an equation with radical expressions?Solving equations with radicals:You have to isolate the radical on one side of the equation, then square, cube, etc both sides of the equation to cancel out the radical.

Examples: Page 108 #s 16, 20, 24, 30

Check to make sure the solutions work! We are going to reject complex solutions (imaginary numbers).Homework:Page 108 #s 13 31 oddsBell Work:Bonus Questions!!!Warning, the following equations are insane in the membrane!!! Insane in the BRAIN!

Page 108 #s 40, 42, 44, 46, 50, 52Homework:Page 108 #s 37 51 oddsBell Work:Grab a small piece of paper from the front of the room and be ready for a small pop quiz!!!Quiz: Test on Tuesday!What you need to know:Solving Basic EquationsSolving Quadratic EquationsComplex NumbersSolving Radical EquationsWord Problems (Linear and Quadratic)

Today, work on the following:Pages 127-129 #s 2, 4, 6, 8, 10, 14, 20, 22, 23, 26, 50, 53, 59, 66, 69 part b, 71, 72