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3-7: Solving Inequalities by Factoring
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Ithaca High School Lesson Plans

Content Standards and Benchmarks:

I,1,4: Explore patterns (graphic, numeric, etc.) characteristic of families of functions; explore structural patterns within systems of objects, operations or relations.

III, 2, 2: Locate and describe objects in terms of their orientation and relative position, including displacement (vectors), phase shift, maxima, minima, and inflection points; give precise mathematical descriptions of symmetries.

 

Objective:

          After reading the lesson the night before, doing the calculator master for 3-7, and hearing my short lecture regarding solving inequalities by factoring, students will be able to solve complex looking inequalities using algebra.  

Students will also be able solve these inequalities using calculators and graphing them.

 

Anticipatory Set:

          I will begin the day by asking students how their weekend went, and if they did anything festive for Halloween!  I will then transition into the students doing the calculator master, and then us discussing it as a class.

 

Input:

     Solving inequalities for zero will help solve complex inequalities in a simple way.

     Know the Function Inequality Theorem

     Know the Test Point Method and how to use it.

     Know how to do problems like example 3 (uses both the Function Inequality Theorem and the Test Point Method) 

 

Modeling:

v    I will help the students do the first problem on the master as a class

v    After students do the calculator master on their own, we will check our answers together.

 

 

Independent practice:

v       Students will be given Lesson Master 3-7 for extra practice and they will be assigned lesson 3-8 to read and do the C.A.R. problems for the next day.

 

Closure:

Review with students why we should know how to solve inequalities without using your calculator. (Calculators do not tell us where functions are undefined; thus it may give us erroneous answers.) 

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