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Unit Topic: Sequences & Series
Content: Mathematics (Algebra 2)
Grade: HS
Duration: 3 weeks
Big Idea:
High school students should enter high school with a strong background in rational numbers and numerical operations and expand this to real
numbers. Solving quadratic equations produces a working knowledge of complex numbers. This becomes the foundation for algebra and working
with algebraic symbols. They understand large and small numbers and their representations, powers and roots. They compare and contrast
properties of numbers and number systems and develop strategies to estimate the results of operations on real numbers. Students will use and
understand the limitations of, graphing calculators and computer spreadsheets appropriately as learning tools.
Program of Studies:
Core Content for Assessment:
Enduring Knowledge – Understandings
MA-11-1.3.1
Students will solve real-world problems to specified accuracy
levels by simplifying real number expressions involving
addition, subtraction, multiplication, division, absolute value,
integer exponents, roots (square, cube), and factorials.
DOK - 2
Students will understand that
 numbers, ways of representing numbers, relationships among
numbers and number systems are means of representing realworld quantities.
Grade Skills and Concepts
Number Operations
Students will
determine a specific term of a sequence given an explicit formula
describe and extend arithmetic and geometric sequences
determine an explicit rule for the nth term of an arithmetic sequence
 apply sequences and arithmetic and geometric series to solve
realistic problems
Patterns, Relations and Functions
Students will
see the patterns in arithmetic and geometric sequences using recursion
see patterns in other sequences (e.g., quadratic, cubic)
relate the patterns in arithmetic sequences to linear functions
 relate the patterns in geometric sequences to exponential functions
Variables, Expressions and Operations
Students will
 use symbolic expressions, including iterative and recursive forms,
to represent relationships among various contexts
Unit Topic: Sequences & Series
1
MA-11-1.3.2
Students will:
 describe and extend arithmetic and geometric
sequences;
 determine a specific term of a sequence given an
explicit formula;
 determine an explicit rule for the nth term of an
arithmetic sequence; and
 apply sequences to solve real-world problems.
DOK - 3
MA-11-1.3.2a
Students will write an explicit rule for the nth term of a geometric
sequence.
MA-11-1.3.2b
Students will recognize and solve problems that can be modeled
using a finite geometric series, such as home mortgage problems
and other compound interest problems.
Content: Mathematics (Algebra 2)
Grade: HS
Duration: 2 weeks
Big Idea:
High school students should enter high school with a strong background in rational numbers and numerical operations and expand this to real
numbers. Solving quadratic equations produces a working knowledge of complex numbers. This becomes the foundation for algebra and working
with algebraic symbols. They understand large and small numbers and their representations, powers and roots. They compare and contrast
properties of numbers and number systems and develop strategies to estimate the results of operations on real numbers. Students will use and
understand the limitations of, graphing calculators and computer spreadsheets appropriately as learning tools.
What students will
Know
Arithmetic Sequence & Series
Geometric Sequence & Series
Explicit
Recursive
Critical Vocabulary
Sequence
Ratio
Finite
Infinite
What students will
Do
Determine if a
sequence is arithmetic
or geometric.
Find various terms of a
sequence.
What students will
Understand
Difference between
arithmetic and geometric.
Real world applications of
sequences and series.
Write an explicit rule
for the nth term of a
sequence.
Find the sum of a
series.
Resources:
Kentucky CCT Coach Book (Grade 11)
Internet resources (e.g. KDE – Diagnostic Assessments, Released Items, bsapp.com)
2
Essential Questions
What is the difference
between a sequence and a
series?
What is the difference
between arithmetic and
geometric?
What are the real world
meanings of each?
Assessments
Find terms of a sequence
and the sum of a series.
Write an explicit rule for
the nth term of a
sequence.
Solve real world problem
using a finite geometric
series, such as home
mortgage and other
compound interest
problems.