Pre-Calculus 3126
Chapter 11 - Sequences & The Binomial Theorem
Vocabulary: Infinite Sequence, Finite Sequence, Factorials, Summation Notation, Sigma Notation, Index of Summation, Series, Arithmetic Sequence, Common Difference, Nth Term of an Arithmetic Sequence, Sum of a Finite Arithmetic Sequence, Geometric Sequence,Common Ratio, Nth Term of a Geometric Sequence, Geometric Series, Geometric Series
Writing Prompts: A. Explain the process of Mathematical Induction and state how it is used in proofs. B. Discuss the Binomial Theorem and its relation to Pascal's Triangle.
Code	LE's & SPI's	Fundamental Course Skills	Sample Assignment
S	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.1 Represent sequences and series.	Write the first several terms of a sequence.	2 Days ~ 11.1        p. 864-865 #1-64 (4ths)
E	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.1 Represent sequences and series.	Write the terms of a sequence defined by a recursive formula.
S	SPI 4.2 Use sigma notation to represent a series.        LE 4.2 Determine, when possible, the sums of infinite series.	Use Summation Notation.
S	SPI 4.2 Use sigma notation to represent a series.        LE 4.2 Determine, when possible, the sums of infinite series.	Find the Sum of a Sequence by hand and by using a graphing utility.
S	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.1 Represent sequences and series.	Find a formula for an arithmetic sequence.	1 Day ~ 11.2           p. 872-873 #1-39 odd
S	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.2 Determine, when possible, the sums of infinite series.	Find the sum of an arithmetic sequence.
S	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.1 Represent sequences and series.	Find a formula for a geometric sequence.	1 Day ~ 11.3            p. 882 #1-60 (3rds)
S	SPI 4.1 Demonstrate an understanding of sequences by representing them recursively and explicitly.    LE 4.2 Determine, when possible, the sums of infinite series.	Find the sum of a geometric sequence.
S	SPI 4.5 Find the sum of an infinite geometric series.     LE 4.2 Determine, when possible, the sums of infinite series.	Find the sum of a infinite geometric sequence.
E	SPI 1.5 Use models when appropriate to draw conclusions or make predictions.	Prove statements using mathematical induction.	1 Day ~ 11.4          p. 887 #1-15 (3rds)
S	SPI 4.6 Use the Binomial Theorem to expand binomials.	Evaluate a binomial coefficient.	1 Day ~ 11.5          p. 895 #1-39 (3rds)
E	SPI 4.6 Use the Binomial Theorem to expand binomials.	Expand a binomial.
		Chapter Review	1 Day ~ p.897-898 #1-66 (3rds)
This chapter should take a total of 8 days including testing.