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List of Topics for Algebra 2
Chapter
Chapter 2
Sequences and
Equivalence
Chapter 3
Exponential
Functions
Chapter 4
Transformations
of Parent Graphs
Chapter 5
Solving and
Intersections
Chapter 6
Inverses and
Logarithms
Topic (Important Questions)
Arithmetic Sequences
(How do you know a sequence is arithmetic? How can you
write a rule given a sequence? How can you write a rule given a
table?)
Geometric Sequences
(How do you know a sequence is geometric? How can you
write a rule given a sequence? How can you write a rule given a
table?)
General Form for an Exponential Function
(What is the general form of the rule for an exponential
function?)
Exponential Growth
(What is the multiplier in the case of exponential growth?)
Compound Interest
Exponential Decay
(What is the multiplier in the case of exponential decay?)
Eight Parent Graphs
(What are the eight parent graphs with which you are familiar?
Can you match a graph to its equation and vice versa?)
Domain and Range
(Domain refers to what set of values? Range refers to what set
of values?
The point (h,k) in graphing form
(How do you identify (h,k) given an equation in graphing form?
What is its significance?)
Transforming Parent Graphs
(How do you write the graphing form for any family of
functions? How do you shift a graph horizontally? Vertically?
How do you flip a graph?)
Completing the Square and Finding the Vertex
(How do you complete the square? What does completing the
square help us to find?)
Writing a parabolic equation given a situation
(What does the situation look like? What are the important
points?)
Non-Functions (e.g. Circles, sleeping parabolas)
(What do the parameters stand for in the graphing form equation
for a circle?)
Solving Systems of Equations
(What methods do you have to solve a system? What does the
solution represent? Is it possible to have more than one
solution? No solution?)
Graphing and Solving Inequalities
(How do you represent all possible solutions of an inequality
algebraically? Given a graph, how do you write an inequality?
Given an inequality, how do you create a graph?)
Linear Programming
(How can you write inequalities from a context?)
Inverse Functions
(How do you find the inverse of any equation?)
Logarithmic Functions
(What is a logarithm? How can you write a log as an
exponential equation?)
Practice Problems
2-39, 2-68, 2-73,
2-138, 3-82
2-81, 2-86, 2-138,
3-82
3-39
2-103, 3-65, 3-78
8-96
2-103, 3-53
4-10, 4-78
2-26, 4-92 (do 4-91
first)
4-91, 4-124,
CL 4-157
6-128, 7-23
4-135, 4-149
4-46, 4-51, 4-64
4-137
2-25, 2-101, 5-37,
5-89, CL 5-104
5-62, 5-63, 5-68,
5-69, 5-83,
CL 5-107, 6-101
Read 5-75
Complete 5-77a
6-4, 6-39,
CL 6-121
6-73, 6-74, 6-75,
6-97
List of Topics for Algebra 2
Miscellaneous
Function Composition
(According to the notation, what is the order for function
composition?)
Laws of Exponents
(What are the laws of exponents? How can the laws be applied
to simplify an expression?)
Rational Expressions
(What must you do yo add or subtract rational expressions?
What must you do to multiply or divide rational expressions?)
Rational Equations
(How do you prefer to solve equations that contain fractions?)
2-55, 6-36, 7-28
2-10, 2-29, 2-120,
3-19, 3-59, 3-139,
7-12
6-11, 6-30, 6-49,
6-53, 6-65, 6-91,
6-100
5-3, 5-7
Important Methods and Meaning you might want to read:
 Pg. 18 Domain and Range
 Pg. 23 Solving a Quadratic
 Pg. 56 Solving Systems Pt. 1
 Pg. 66 Solving Systems Pt. 2
 Pg. 83 Arithmetic/Geometric
Sequences
 Pg. 86 Exponential Functions
 Pg. 92 Sequences
 Pg. 132 Basic Laws of Exponents
 Pg. 148 Summary of Exponents
 Pg. 177 Graphing/Standard Form of
Parabolas
 Pg. 199 Relations and Functions
 Pg. 207 General Equations for
Families
 Pg. 243 Inequalities/Absolute Value
 Pg. 247 Graphing Inequalities
 Pg. 250 Solutions to 1/2 Variable
Equations
 Pg. 269 Notation for Inverses
 Pg. 274 Composition of Functions
 Pg. 283 Logarithms
Read and complete practice problems in the Checkpoint Materials:
Volume 1: Pgs. 377-Glossary