UP:MA19.FM.12
Vocabulary
- Recursive process
- Recursive formula
- Triangular numbers
- Pentagonal numbers
- Fibonacci sequence
- Closed Formula
Knowledge
Students know:
- How to recognize a pattern.
Skills
Students are able to:
- Identify the pattern in a sequence.
- Explain why a pattern occurs.
Understanding
Students understand that:
- The recursion process can be applied to many situations.
- A sequence lists the solutions of a set of related problems.
- Formulas can be hypothesized by identifying how the problems are related.
Body
- Determine characteristics of sequences, including the Fibonacci Sequence, the triangular numbers, and pentagonal numbers.
Example: Write a sequence of the first 10 triangular numbers and hypothesize a formula to find the nth triangular number.
