Curriculum Focus Document
Precalculus
Chapter 10: Sequences and Series
GOAL(S)
This unit will address the following relevant goals:
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Sequences and Summation Notations
Arithmetic Sequences
Geometric Sequences
Annuities and Installment Buying
Mathematical Induction
The Binomial Theorem
UNDERSTANDING(S)
Students will understand the following:
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That a sequence is a listing of elements usually from a rule.
That sequences have partial and infinite sums
That arithmetic sequences are formed by successive addition
That geometric sequences are formed by successive multiplication
That both arithmetic and geometric sequences can be models of real world applications
That the principle of mathematical induction is used to prove theorems
That the binomial theorem is a method of finding coefficients of any polynomial easily.
ESSENTIAL QUESTION(S)
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After an infinite number of bounces, how far will a ball have traveled?
How much money would be in an account if left for 10 years.
How would you prove every single case of a problem if there were an infinite number of
cases?
KNOWLEDGE (CP)
SKILLS (CP)
Students will know the following:
Students will be able to do the following:
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Sequences and Summation Notations
Arithmetic Sequences
Geometric Sequences
Annuities and Installment Buying
Mathematical Induction
The Binomial Theorem
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Write sequences from a given rule.
Write a rule from a sequence
Identify the common difference and the nth
term of an arithmetic sequence. Vice versa
Identify the common ration and the nth term
from a geometric sequence. Vice versa
Find sums of finite and infinite geometric and
arithmetic sequences.
Use the binomial theorem to find coefficients
of any term of a power of a binomial.
Find the nth term of any expansion of a
binomial power.
This publication is the property of Antonian College Preparatory High School. Duplication in whole or
part, outside of ACPHS, is prohibited with express written permission from ACPHS.
Curriculum Focus Document
KNOWLEDGE (H/AP)
SKILLS (H/AP)
Students will know the following:
Students will be able to do the following:






Sequences and Summation Notations
Arithmetic Sequences
Geometric Sequences
Annuities and Installment Buying
Mathematical Induction
The Binomial Theorem







Write sequences from a given rule.
Write a rule from a sequence
Identify the common difference and the nth
term of an arithmetic sequence. Vice versa
Identify the common ration and the nth term
from a geometric sequence. Vice versa
Find sums of finite and infinite geometric and
arithmetic sequences.
Use the binomial theorem to find coefficients
of any term of a power of a binomial.
Find the nth term of any expansion of a
binomial power.
This publication is the property of Antonian College Preparatory High School. Duplication in whole or
part, outside of ACPHS, is prohibited with express written permission from ACPHS.