|
Weekly Overview:
|
Unit Description: Functions
Essential Questions: 1. Do students understand that a sequence is a function whose domain is the set of natural numbers?
- Can students graph a sequence?
- Can students recognize, write, and find the nth term of a finite arithmetic or geometric sequence?
- Can students give the recursive definition for a sequence?
- 5 Can students recognize, write, and find the sum of an arithmetic or geometric series?
- Can students determine whether or not the sum of an infinite geometric series exists and if so find the sum?
- Do students recognize the convergence or divergence of a sequence?
- Can students find the limit of terms of an infinite sequence?
- Can students use summation notation to write sums of sequences?
- Can students use sequences and series to model and solve real-life problems?
Resources/Materials: Graphing calculator, book, active board, teacher, and students.
Standards/Benchmarks/GLEs:(GLE 4, 6, 24, 26) |
|
Objectives: |
Students will be able to find the terms of a sequence given the nth term formula for that sequence. They can recognize an arithmetic or geometric sequence, find the explicit or recursive formula for that sequence, and graph the sequence. With infinite sequences they will find limits if they exist. Students can expand a series written in summation notation and find the sum. They can use the formulas for the sum of a finite arithmetic or geometric series to find the sum of n terms. They are able to tell whether or not an infinite geometric series has a sum and find the sum if it does exist. They are able to model and solve real-life problems using sequences and series. |
|
Student Learning Activities:
|
The students will be introduced to Counting Principles and work problems using these principles. |
Quiz. |
The students will be introduced to Probability and work problems figuring out probabilities. |
