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