Lesson 2: 11.2 Series
Duration of Days: 4
Lesson Objective
Students will understand the difference between a series and a sequence, be able to determine whether some series are convergent or divergent, and be able to write any repeating decimal as a ratio through an infinite series.
- How does a series differ from a sequence?
- What does it mean for an infinite series to be convergent?
- What is a geometric series, when does it converge, and how can we find that sum when it does converge?
- infinite series
- convergent/divergent series
- geometric series
- harmonic series
- Test for Divergence
(pattern recognition with infinite series and determining whether an infinite series converges or diverges)
Pattern recognition
- Determining whether an infinite series converges or diverges and finding that sum when possible.
- DOK Levels 1-4
- calculating total future value of annuities and investments
- calculating materials needed for construction
- radioactive decay and population growth
Initially, students may confuse series and sequences. Also, understanding the difference between whether a sequence converges and whether the related series converges can be difficult to separate.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book