Lesson 1: 11.1 Sequences
Duration of Days: 3
Lesson Objective
Students will be able to recognize patterns in a sequence, determine the nth term, write a formula for the sequence either in terms of n or define it recursively, and determine whether a sequence is convergent or divergent.
- What is a sequence?
- What is the pattern in a given sequence?
- How does the pattern of a sequence relate to linear models?
- How can we define the sequence in terms of n?
- Is it always possible to define a sequence in terms of n?
- How do we know when a sequence is convergent or divergent?
- sequence
- increasing/decreasing/monotonic
- convergent/divergent
(pattern recognition and determining convergence or divergence of a sequence)
Pattern recognition
- Determining the pattern in a sequence and whether or not it converges.
- DOK Levels 1-4
- compound interest
- population growth
- gear ratios in manufacturing
- theater seating arrangements
Students often struggle with defining a sequence in terms of n, as there is no set way to do every problem. With practice, students will begin to see some common things to look for.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book