DNA has its own code of bases. You have been hired to crack the
code of the Fibonacci Sequence. What is the tenth number in the
sequence? 20th? Fifth odd number ?
Students will calculate the Fibonacci Sequence using different number
paper and pencil
Discuss the concept of patterns. Have students work in small groups.
1. Estimate in their journals what the answers will be.
2. Use calculators to arrive at the answers.
3. Write the totals down in the journals.
4. Use their journals to reflect the estimates and actual answers.
How close are they?
5. Check with another person and see if their answers are close
to one another. Why or why not?
6. Give some examples of the Fibonacci Sequence found in their environment.
Justify how they know that their examples represent the sequence.
7. Determine the pattern that creates the Fibonacci Sequence?
Check for the accuracy of their answers in their journals.
Standards and Benchmarks
Standard 1: Uses a variety of strategies in the problem-solving
1. Understands how to break a complex problem into simpler parts
or use a similar problem type to solve a problem
5. Represents problem situations in and translates among oral, written,
concrete, pictorial, and graphical forms
7. Constructs informal logical arguments to justify reasoning processes
and methods of solutions to problems (i.e., uses informal deductive
6. Generalizes from a pattern of observations made in particular
cases, makes conjectures, and provides supporting arguments for
these conjectures (i.e., uses inductive reasoning)
Standard 3: Uses the basic and advanced procedures while performing
the processes of computation
3. Selects and uses the appropriate computational methods (e.g.,
mental, paper and pencil, calculator, computer) for a given situation
7. Knows when an estimate is more appropriate than an exact answer
for a variety of problem situations
Standard 4: Understands and applies basic and advanced properties
of the concepts of measurement
8. Selects and uses appropriate estimation techniques (e.g., overestimate,
underestimate, range of estimates) to solve real world problems
Standard 8: Understands and applies basic and advanced properties
of functions and algebra
11. Understands the properties of arithmetic and geometric sequences
(i.e., linear and exponential patterns)
Standard 9: Understands the general nature and uses of mathematics
2. Understands that mathematics often represent real things using
abstract ideas like numbers or lines; they work with these abstractions
to learn about the things they represent