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3-6 Solving Equations by Chunking or 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.

I,1,5: Use patterns and reasoning to solve problems and explore new content.

 

Objective:

          After reading the lesson the night before, and hearing my short lecture regarding solving equations by chunking or factoring students will be able to solve complex looking equations using chunking and factoring. 

Students will also be able apply this knowledge to real world problems.

 

Anticipatory Set:

          I will begin the day by asking students to tell me what the lesson was about.  They will explain to me the objectives of this lesson.  If the students need it, I will lead them into the objectives that they miss.

 

Input:

     Chunking: thinking of an expression as a single variable

     Look for common factors to pull out of expressions.

     Zero Product Property for Functions: Let f, g, and h be functions.  If there exists a c such that h(c) = 0 and h = f*g, then either f(c) = 0 or g(c)  = 0 or both.  

     Try to make the equation look like a quadratic equation. 

 

 

Modeling:

v    Answer student questions from the night before.

v    Tie in today’s objectives with the questions that are asked.

 

Guided Practice:

v    As the students get more comfortable with the content, I will ask them

to lead me through the problems.

v    I may even ask student to come up to the board to do the problems

that other students are confused about problems.

 

Independent practice:

v       Students will be given Lesson Master 3-6 for extra practice and they will be assigned lesson 3-7 to read and do the C.A.R. problems for the next day.

 

Closure:

        Have students go through the steps of how to utilize chunking by themselves, in groups, and then share with the class. 

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