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.

Objective:

          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. 

Input:

Ø     Addition and Multiplication Properties of Equality (Notation)

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

Equations and are 1-1

Ø     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)

Ø     Checking is the last step to solving an equation

Ø     Reversible steps Theorem Page 165

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 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.

Closure:

v      “What did we discuss today?”

Ø              What is a reversible step

Ø              How do you know a nonreversible step has taken place

Ø              Checking is the last step to solving an equation

Ø              Reversible Steps Theorem