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
I,1,5: Use patterns and reasoning
to solve problems and explore new content.
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.
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.
Ø Chunking: thinking of an expression
as a single variable
Ø Look for common factors to pull out of expressions.
Ø 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.
Ø Try to make the equation look like a quadratic equation.
v Answer student questions from the night before.
v Tie in today’s objectives with the questions that are asked.
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.
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.
Ø Have students go through the steps of how to utilize
chunking by themselves, in groups, and then share with the class.