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Ithaca High School Lesson Plans

Chapter 3 (PDM)

Lesson Plan 3-3: The Logic of Equation Solving.



Content Standards and Benchmarks:

IV,2,2: Develop an understanding of more complex representations of numbers, including exponential and logarithmic expressions, and select an appropriate representation to facilitate problem solving.



          After reading the lesson the night before, and hearing my short lecture regarding the logic of equation solving, students will be able to solve equation by applying a function to both sides and taking into account irreversible steps.


Anticipatory Set:

          Overhead: Use the proof that 1 +1= 1 to show students what can happen when you try and go mathematical operations without thinking. 



     Addition and Multiplication Properties of Equality (Notation)

     Reversible steps correspond with if-and-only-if and equivalent

Equations and are 1-1

     Nonreversible stops correspond to true if-then statements for which

the converse is false

                    No worries when adding

                    Worries when multiplying (Can’t * or / by a possible 0)

     Checking is the last step to solving an equation

     Reversible steps Theorem Page 165



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 that other

students are confused about problems.


Independent practice:

v      Students will be assigned lesson 3-4 to read and do the C.A.R. problems for the next day.



v      “What did we discuss today?”

              What is a reversible step

              How do you know a nonreversible step has taken place

              Checking is the last step to solving an equation

              Reversible Steps Theorem

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