Radnor High School
Course Syllabus
Modified 6/21/2011
Algebra 2 Honors
0453
Credits: 1
Grades: 9, 10, 11
Weighted:
Length: 1 Year
Format: Meets daily
Prerequisite: 8th grade Algebra 1 with a “C” and Honors Geometry
Overall Description of Course
This course reviews and extends an understanding of the number system, formulas, equations and graphs.
Subject matter includes quadratics, radicals, exponents, complex numbers, logarithms and exponential
functions. An emphasis is placed on both the development of the concept of function and graphing
functions using a transformational approach. The theory of equations and sequences and series are
introduced during the course. Students are challenged to apply skills to new problems and to connect
skills and concepts. Students are expected to handle a demanding workload. A graphing calculator is
required.
Algebra 2 Honors is a Honors level course which is intended for the motivated math student who is very
good with mathematics but needs more teacher guidance to assist in the mastery of the material. The
course will involve accelerated pacing and a demanding workload with some written explanations
expected. Students on this level will be prepared to take AP Calculus AB.
MARKING PERIOD ONE

Common Core Standards
N-VM.6. (+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence
relationships in a network.
N-VM.7. (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game
are doubled.
N-VM.8. (+) Add, subtract, and multiply matrices of appropriate dimensions.
N-VM.9. (+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is
not a commutative operation, but still satisfies the associative and distributive properties.
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the
quantity represented by the expression.
a. Factor a quadratic expression to reveal the zeros of the function it defines.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it
defines.
A-CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations
arising from linear and quadratic functions, and simple rational and exponential functions.
A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph
equations on coordinate axes with labels and scales.
A-REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients
represented by letters.
A-REI.4. Solve quadratic equations in one variable.
F-IF.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to
each element of the domain exactly one element of the range. If f is a function and x is an element of its
domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the
equation y = f(x).
F-IF.2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use
function notation in terms of a context.
F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain
different properties of the function.
a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme
values, and symmetry of the graph, and interpret these in terms of a context.
S-ID.6. Represent data on two quantitative variables on a scatter plot, and describe how the variables are
related.
S-ID.7. Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of
the data.
S-ID.8. Compute (using technology) and interpret the correlation coefficient of a linear fit.
Keystone Connections:
Student Objectives:
At the end of this quarter, student should be able to successfully complete the following skills:
 Evaluate and write sigma notations
 Calculate absolute values
 Solve equations by using properties of equality
 Express solutions of equations as ordered pairs
 Apply properties of inequality
 Solve linear inequalities in one variable
 Graph solutions of inequalities on the number line
 Use midpoint and distance formulas
 Understand function notation
 Find domain and range of a function
 Multiply a matrix by a scalar
 Solve matrix equation
 Add, subtract and multiply matrices
 Calculate probability
 Use point-slope, slope-intercept and general linear forms of equations of lines
 Use slopes to determine if lines are perpendicular or parallel
 Solve system of linear equation graphically and algebraically
 Graph linear inequalities
 Find union and intersection of sets defined by inequalities
 Write equations that represent linear functions
 Recognize direct variation
 Fit a line to data by using linear regression in the calculator
 Recognize and graph compound (piecewise) functions
 Convert absolute value functions into piecewise functions and vice versa
 Multiply to form quadratics
 Remove common factors from expressions
 Factor trinomials and special products
 Graph quadratic functions
 Find the real zeros of quadratic functions
 Solve quadratic equations by factoring and quadratic formula
 Complete the square to find the maximum/minimum value of a quadratic function
 Complete the square to solve quadratic equations
 Analyze and solve problems involving maximum and minimum values
 Analyze and solve projectile motion
Materials & Texts
TEXTS
Algebra 2 & Trigonometry, John Benson, McDougal Littell/Houghton Mifflin, 1991
Activities, Assignments, & Assessments
ACTIVITIES
Problem Solving
 Introduce Problem Solving Strategies
 Use Diagrams & Models to Solve Problems
 Find Patterns
 Use Sigma Notation to find Sums
 Write Sums in Sigma Notation
The Language of Algebra
 Simplify Expressions
 Solve Equations using Properties of Equality
 Solve & Graph Inequalities in One Variable
 Solve Absolute Value Equations & Inequalities
 Use Midpoint & Distance Formulas
 Understand Function Notation
 Perform Operations with Matrices
 Calculate Probabilities
 Simplify Expressions containing Exponents & Radicals
Linear Relationships
 Write Equations of Lines
 Graph Linear Equations
 Solve Systems of Linear Equations
 Graph Inequalities
 Recognize Direct Variation
 Find a Line of Best Fit
 Graph Compound Functions
Quadratic Functions
 Multiply Polynomials
 Factor Polynomials
 Graph Quadratic Functions
 Solve Quadratic Equations
 Complete the Square
 Solve Real World Problems using Quadratic Functions
ASSIGNMENTS
#01: Read the text and the examples in your book for the following sections:
1.1, 1.2, and 1.4. Be sure you read and under¬stand the handshake problem. Also make sure you
copy an understandable definition and example of the following words and phrases:
a. Model
b. tree diagram
c. digraph
d. algorithm
e. sigma notation
#02: Find in Section 1.1 the FIVE MAIN THEMES of this course. Copy these into your notes.
#03: Page 5: 2, 3, 4, 6
#04: Page 7: 1, 5, 6
#05: Page 14: 1, 2, 4, 6, 7(a)
#06: Section 2.1: The Language of Expressions
Page 26-29: 1-11 odd, 12-14, 17-28, 31(b), 32-34, 35, 39
#07: Section 2.2: Solving Equations
Page 33-37: 1-9 odd, 10-12, 15, 16, 18, 19, 22-26, 29-37 odd, 38-44, 53
#08: Section 2.3: Solving Inequalities
Page 40-44: 1-11 odd, 12, 13, 17, 18, 23, 26, 33, 36, 39, 42-48 even
#09: Page 40-44: 14, 15, 19, 20, 22, 25, 34, 40, 43, 45, 53, 55, 59, 61
#10: Section 2.4: Introduction to Graphing
Page 48-51: 1-5 odd, 7-11, 13-16, 19-25 odd, 26
#11: Section 2.5: Matrices
Page 55-59: 1-7 odd, 9, 10, 17, 19, 21, 26, 27, 29, 33, 35
#12: Page 55-59: 11-16, 18, 22, 24, 30-32, 36
#13: Section 2.6: Probability
Page 63-64: 1, 3-7, 9, 10, 12, 13, 15, 17, 19, 20
#14: Page 63-64: 8, 11, 14, 18, 21-23
#15: Page 66-68: 1-11, 14-18, 22-29, 33, 34, 36, 38-40 (Chapter Review)
#16: Exponents & Radicals:
Page 74-77: 1, 2, 4, 8, 9, 17, 23, 31, 34, 40 46, 49
#17: Page 74-77: 3, 7, 10, 11, 18, 24, 27, 32, 35, 41, 44, 47, 50
#18: Page 74-77: 5, 6, 12, 15, 19, 21, 25, 28, 36, 39, 42, 45, 51
#19: Page 74-77: 14, 16, 20, 29, 33, 37, 38, 43, 48, 52
#20: Section 3.1: Graphing Linear Equations
Page 83-88: 1-11 odd, 13-17, 19-26, 29-31, 33
#21: Section 3.2: System of Linear Equations
Page 90-93: 1-7 odd, 8, 10, 11, 13, 14, 16, 17-23 odd, 32
#22: Page 90-93: 9, 15, 18-24 even, 31
#23: Section 3.3: Graphing Inequalities
Page 96-99: 1 -13 odd, 14, 16, 17, 20, 22, 27, 32
#24: Page 96-99: 2, 8, 10, 12, 15, 18, 28, 31
#25: Section 3.4: Functions and Direct Variations
Page 103-6: 1 -7 odd, 9-11,13,15,16,19, 20, 22, 23, 25, 27-29, 35
#26: Page 103-6: 2-6 even, 12, 14, 17, 21, 24, 30, 31, 36, 37, 39, 42
#27: Section 3.5: Fitting a Line to Data
Page 109-13: 1-5 odd, 6, 8, 9, 12-14, 16, 20, 28
#28: Section 3.6: Compound Functions
Page 116-120: 1-13 odd, 14-19, 21, 23, 26, 27, 29, 33, 35, 37-39, 41, 42 45, 48, 49,54 56, 59
#29: Page 116-120: 2, 4, 10, 12, 20, 22, 25, 28. 30, 34, 36, 43, 44, 46, 50, 55, 57, 58, 60
#30: Page l22-124: 1-5, 7-9, 11-20, 22, 23, 27 (Chapter Review)
#31: Section 4.1: What Are Quadratics?
Page 130-134: 1-7 odd, 8, 9-15 odd, 16-24 even, 21, 25, 29, 33
#32: Section 4.2: Factoring Quadratics
Page 137-141: 1-9 odd, 10-13, 15, 17, 20, 21, 24-28 even, 29, 33, 35-37, 39
#33: Page 137-141: 14-18 even, 19, 22, 23, 25, 30, 31, 34, 38, 40, 42, 43, 48
#34: Section 4.3: Graphing Quadratic Functions
Page 145-148: 1, 3, 4, 6-8, 13, 15, 18, 20, 22, 25, 26, 29, 30, 34
#35: Page 146-148: 2, 5, 9-12, 14, 17, 19, 23, 24, 27, 28, 33, 36a, 37
#36: Section 4.4: Solving Quadratic Equations
Page 152-156: 1, 3, 4-11, 13, 15, 16, 18-22, 24, 25, 28, 31-35 odd, 39
#37: Section 4.5: Complete the Square
Page l60-163: 1-11 odd, 12-20 even, 19, 25-31 odd, 32, 34
#38: Page 160-163: 2-10 even, 13-17 odd, 22, 26-30 even, 35, 36, 38, 39
#39: Section 4.6: Applications of Quadratic Functions
Page 168-170: 1 -5 odd, 7-13, 15-18, 20-22
#40: Section 4.7: Data Displays
Page 174-176: 1-7, 9, 11, 12
#41: Page l78-180: 1, 3, 5, 7-10, 12, 13, 15, 16, 18, 19, 22-24, 26, 29, 31, 32,33, 36, 38
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on homework checks, quizzes and
chapter tests.
Terminology
sigma notation, absolute value, additive inverse, distribute, equation, equivalent expression, function,
function notation, inequality, input, intercept, like-terms, linear equation, matrix, opposite, ordered pairs,
output, probability, quadrant, scalar multiplication, compound function, constant of variation, direct
variation, directly proportional, domain, intersection, line of best fit, linear function, range, regression
line, system of linear equations, union, axis of symmetry, completing the square, discriminant, factoring,
parabola, quadratic equation, quadratic expression, quadratic formula, quadratic function, real zero, root,
vertex, vertex form, base, exponent, radical
Media, Technology, Web Resources
Graphing calculator TI-83 or 84
MARKING PERIOD TWO

Common Core Standards
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the
quantity represented by the expression.
a. Factor a quadratic expression to reveal the zeros of the function it defines.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it
defines.
A-REI.4. Solve quadratic equations in one variable.
F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of
the integers.
F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain
different properties of the function.
a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme
values, and symmetry of the graph, and interpret these in terms of a context.
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.3. Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values
of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an
explanation of the effects on the graph using technology. Include recognizing even and odd functions from
their graphs and algebraic expressions for them.
F-BF.4. Find inverse functions.
Keystone Connections:
Student Objectives:
At the end of this quarter, student should be able to successfully complete the following skills:
 Represent relations
 Recognize functions
 Identify restrictions on the domain of a function
 Interpret composite functions
 Recognize inverse functions
 Find the inverse of a given function
 Recognize the relationship the graph of a function and its inverse
 Perform operations on the inputs and outputs of functions
 Use the factorial, permutation and combination functions
 Convert recursive definition to an equivalent closed form definition
 Graph absolute value functions
 Stretch, shrink, reflect and shift graphs
 Reflect objects graphed on a coordinate system
 Recognized symmetry with respect to a line or a point
Materials & Texts
TEXTS
Algebra 2 & Trigonometry, John Benson, McDougal Littell/Houghton Mifflin, 1991
Activities, Assignments, & Assessments
ACTIVITIES
Functions
 Represent Relations
 Recognize Functions
 Identify Domain & Range of a Function
 Interpret Composite Functions
 Recognize Inverse Functions
 Perform Operations on Functions
 Use Discrete Functions
 Use & Write Recursive Definitions of Functions
Graphing By Transformation
 Stretch, Shrink & Reflect Graphs
 Translate Graphs
 Recognize Symmetry
ASSIGNMENTS
#42: Section 5.1: Relations and Functions
Page 186-189: 1-9 odd, 12, 16, 18, 20, 22, 25, 26
#43: Page 186-189: 2-10 even, 11-19 odd, 23, 24, 27, 31
#44: Section 5.2: More About Functions
Page 193-197: 1 (No Range for 1b or 1d), 3, 5, 8, 10, 11, 13, 14, 19, 21, 23, 25, 28
#45: Page 193-197: 4, 6, 7, 9, 12, 15-18, 20, 22, 24, 27, 29
#46: Section 5.3: Inverse Functions
Page 201-205: 1-9 odd, 10-12, 14, 17, 21, 22, 24, 25, 28-30, 34
#47: Page 201-205: 2-8 even, 13, 15, 16, 19, 20, 23, 27, 31, 35, 37
#48: Section 5.4: Operations on Functions
Page 209-212: 1-11 odd, 12-16 even, 19, 20, 26
#49: Page 209-212: 2-10 even, 13, 15, 17, 18, 21, 22, 24, 28
#50: Section 5.5: Discrete Functions
Page 216-219: 1-9 odd, 11, 18, 19, 23, 24, 26, 29, 30, 33, 38
#51: Page 216-219: 2-10 even, 12-17, 20-22, 25, 27, 28, 32, 34
#52: Section 5.6: Recursively Defined Functions
Page 224-227: 1, 3, 6, 9-11, 13, 16, 17, 20, 21, 24, 26
#53: Page 224-227: 2, 4, 5, 7, 8, 12(do algebraically), 14, 15, 18, 19, 22, 23, 25
#54: Section 5.7: Measures of Central Tendency and Percentiles
Page 230-232: 1-5, 11-13
#55: Page 234-36: 1-4, 6-9, 11- 13, 16-21, 24-29, 31, 34 (Chapter Review)
#56: Section 6.1: Beyond Plotting Points
Page 242-245: 1-4, 9, 11, 12, 14, 16, 18, 22, 24, 26, 28, 33
#57: Page 242-245: 5-8, 10, 13, 15, 19, 20, 21, 23, 25, 27, 29, 30-32, 34
#58: Section 6.2: Translating Graphs
Page 247-251: 1-21 odd, 23-25, 28, 30, 34-36, 39, 43, 49
#59: Page 247-251: 2-22 even, 26, 29, 31, 32, 37, 38, 41, 44, 47, 52
#60: Section 6.3: Reflections and Symmetry
Page 256-259: 1-15 odd, 20-23, 27, 28, 30-32
#61: Page 256-259: 2-10 even, 14, 17-19, 24-26, 35-38, 40, 42
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on homework checks, quizzes and
chapter tests. A midterm exam will be given at the end of the quarter.
Terminology
Closed (explicit) form , combination, composition of functions, discrete functions, factorial, first/second
differences, inverse function, permutation, recursive definition, reflection, relation, shift, shrink, stretch,
symmetry
Media, Technology, Web Resources
Graphing calculator TI-83 or 84
MARKING PERIOD THREE
Common Core Standards
N-RN.1. Explain how the definition of the meaning of rational exponents follows from extending the
properties of integer exponents to those values, allowing for a notation for radicals in terms of rational
exponents.
N-RN.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
N-RN.3. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number
and an irrational number is irrational; and that the product of a nonzero rational number and an irrational
number is irrational.
N-CN.1. Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi
with a and b real.
N-CN.2. Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract,
and multiply complex numbers.
N-CN.3. (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex
numbers.
N-CN.4. (+) Represent complex numbers on the complex plane in rectangular and polar form (including real
and imaginary numbers), and explain why the rectangular and polar forms of a given complex number
represent the same number.
N-CN.5. (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers
geometrically on the complex plane; use properties of this representation for computation.
N-CN.7. Solve quadratic equations with real coefficients that have complex solutions.
N-CN.8. (+) Extend polynomial identities to the complex numbers.
A-CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities,
and interpret solutions as viable or nonviable options in a modeling context.
A-REI.2. Solve simple rational and radical equations in one variable, and give examples showing how
extraneous solutions may arise.
A-REI.4. Solve quadratic equations in one variable.
A-REI.5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of
that equation and a multiple of the other produces a system with the same solutions.
A-REI.6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of
linear equations in two variables.
A-REI.7. Solve a simple system consisting of a linear equation and a quadratic equation in two variables
algebraically and graphically. For example, find the points of intersection between the line y = –3x and the
circle x2 + y2 = 3.
A-REI.8. (+) Represent a system of linear equations as a single matrix equation in a vector variable.
A-REI.9. (+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using
technology for matrices of dimension 3 × 3 or greater).
A-REI.10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the
coordinate plane, often forming a curve (which could be a line).
A-REI.12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in
the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as
the intersection of the corresponding half-planes.
Keystone Connections:
Student Objectives:
At the end of this quarter, student should be able to successfully complete the following skills:
 Graph cubic, quartic, reciprocal and exponential functions
 Use system of equations to solve problems
 Solve systems of equations in three unknowns
 Graph equations that contains three variables
 Graph systems of inequalities









Solve direct, inverse, joint and combined variation problems
Solve nonlinear systems
Factor by grouping
Factor sum/difference of two cubes
Solve equations by factoring
Solve inequalities by factoring and interval testing
Apply the properties of exponents to expressions with rational exponents
Solve radical equations
Perform operations on complex numbers
Materials & Texts
TEXTS
Algebra 2 & Trigonometry, John Benson, McDougal Littell/Houghton Mifflin, 1991
Activities, Assignments, & Assessments
ACTIVITIES
Graphing by Transformations
 Introduce Graphs of Cubic & Quartic Functions
 Graph Reciprocal Functions
 Graph Exponential Functions
Systems
 Use Systems of Equations to Solve Problems
 Solve Systems of Equations in 3 Unknowns
 Graph Equations that contain 3 Variables
 Graph Systems of Inequalities
 Solve Inverse Variation Problems
 Solve Systems containing Nonlinear Equations
 Factor the Sum or Difference of Two Cubes
 Solve Inequalities by Factoring
Extending the Real-Number System
 Simplify Expressions with Rational Exponents
 Solve Radical Equations
 Perform Operations on Complex Numbers
ASSIGNMENTS
#62: Section 6.4: Graphing Other Functions
Page 264-267: 1, 3-5, 8, 11-21 odd, 24, 25, 27, 29
#63: Page 264-267: 2, 6, 7, 9, 10-18 even, 22, 23, 26
#69: Section 7.1: Solving Problems with System of Equations
Page 294-296: 1-9 odd, 10-14, 18, 19, 21, 24-26, 35
#70: Page 294-6: 2-8 even, 15, 16, 17, 20, 23, 27, 28-30, 34, 36, 37
#71: Section 7.2: Linear Systems with Three Variables
Page 301-305: 1 -7 odd, 8, 10-13, 14, 17, 21, 23, 24
#72: Page 301-305: 2-6 even, 9, 15, 18, 19, 22, 25, 26, 28, 29
#73: Section 7.3: Systems of Inequalities
Page 307-311: 1 - 5 odds, 7 - 14, 16, 17, 23, 25, 26, 28, 30, 33
#74: Linear Programming Worksheets
#75: Section 7.4: Inverse Variations
Page 314-317:1-7 odd, 9, 11, 13, 16, 18, 21 - 23, 27, 28, 29, 33
#76: Page 314-317: 2-14 even, 15, 17, 30, 32, 34, 37, 38, 39, 41, 43
#77: Section 7.5: Nonlinear Systems
Page 320-323:1-9 odd, 10, 12, 13, 15 - 17, 19, 20, 22, 25, 26, 29, 31, 37, 39
#78: Chapter Review
Page 332-334: 1-4, 6, 7, 9, 14, 16, 18, 20- 23, 25
#79: Factoring
Page 339-341:1, 2, 4, 7, 8, 9, 11, 13, 14, 19, 21, 22-28 even, 35, 37
#80: Page 339-341: 3, 5, 6, 10, 12, 15, 16, 18, 20, 25, 27, 32, 34
#81: Section 8.1: Rational Exponents
Page 345-348: 1-5 odd, 6-10, 14, 15, 19, 21, 23-28, 33
#82: Page 345-348: 2, 4, 11, 12, 16-18, 22, 29, 30, 32
#83: Section 8.2: Solving Radical Functions
Page 352-356: 1-5 odd, 6, 8, 10, 12-16, 22-25, 30, 32, 38, 39, 45, 47, 51
#84: page 352-356: 2, 4, 7, 11, 17-21, 26-29, 31, 33-35, 40, 41, 46, 48, 49, 53, 54
#85: Section 8.3: Introduction to Complex Numbers
Page 360-363: 1-5 odd, 6-14, 16, 18, 24, 27, 30, 34, 39, 42, 45
#86: Page 360-363: 2, 4, 15, 17, 19, 21-23, 25, 26, 28, 29, 33, 35- 37, 40, 44
#87: Section 8.4: Algebra of Complex Numbers
Page 367-371: 1-5 odd, 7-9, 11, 12, 15, 16, 20, 22, 25, 30, 31, 34
#88: Page 367-371: 2, 4, 6, 13, 14, 17-19, 21, 23, 24, 26, 28, 29, 32, 33
#89: Chapter Review
Page 377-378: 1-12, 14-16, 18, 20, 21, 23, 24, 27, 30, 31, 33-39, 41, 42
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on homework checks, quizzes and
chapter tests.
Terminology
cubic function, exponential function, horizontal asymptote, quartic function, reciprocal function, inverse,
joint and combined variations, traces, complex numbers, conjugates, extraneous roots, pure imaginary
numbers, radicand, root index, standard complex form
Media, Technology, Web Resources
Graphing calculator TI-83 or 84
MARKING PERIOD FOUR
Common Core Standards
N-CN.7. Solve quadratic equations with real coefficients that have complex solutions.
N-CN.8. (+) Extend polynomial identities to the complex numbers.
N-CN.9. (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the
quantity represented by the expression.
c. Use the properties of exponents to transform expressions for exponential functions.
A-SSE.4. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use
the formula to solve problems.
A-APR.1. Understand that polynomials form a system analogous to the integers, namely, they are closed under
the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
A-APR.2. Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on
division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
A-APR.3. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to
construct a rough graph of the function defined by the polynomial.
A-APR.6. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where
a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection,
long division, or, for the more complicated examples, a computer algebra system.
A-APR.7. (+) Understand that rational expressions form a system analogous to the rational numbers, closed
under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract,
multiply, and divide rational expressions.
A-REI.2. Solve simple rational and radical equations in one variable, and give examples showing how
extraneous solutions may arise.
F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of
the integers.

F-IF.8. Write a function defined by an expression in different but equivalent forms to reveal and explain
different properties of the function.
b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify
percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify
them as representing exponential growth or decay.
F-BF.1. Write a function that describes a relationship between two quantities.
F-BF.2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to
model situations, and translate between the two forms.
F-BF.5. (+) Understand the inverse relationship between exponents and logarithms and use this relationship to
solve problems involving logarithms and exponents.
F-LE.1. Distinguish between situations that can be modeled with linear functions and with exponential
functions.
F-LE.2. Construct linear and exponential functions, including arithmetic and geometric sequences, given a
graph, a description of a relationship, or two input-output pairs (include reading these from a table).
F-LE.4. For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers
and the base b is 2, 10, or e; evaluate the logarithm using technology.
Keystone Connections:
Student Objectives:
At the end of this quarter, student should be able to successfully complete the following skills:
 Divide a polynomial by a binomial
 Apply the remainder and factor theorems
 Perform synthetic and long divisions
 Find zeros of functions by factoring and using the quadratic formula
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Use the calculator to find the rational zeros of a function
Determine the number of complex zeros a polynomial function has
Determine the sum and product of the roots of a quadratic equation
Apply the conjugate zero theorem
Simplify, multiply, add, subtract and divide rational expressions
Solve rational equations and inequalities
Simplify complex fractions
Graph exponential and logarithmic functions
Use the properties of logarithms
Solve exponential and logarithmic equations
Use exponential and logarithmic functions as mathematical models
Use appropriate base (10 or e) in certain problems
Use sigma notation to express a series
Find the value of an infinite series
Compute any term in an arithmetic sequence
Compute arithmetic means
Evaluate arithmetic series
Compute any term in a geometric sequence
Compute geometric means
Evaluate finite and infinite geometric series
Materials & Texts
TEXTS
Algebra 2 & Trigonometry, John Benson, McDougal Littell/Houghton Mifflin, 1991
Activities, Assignments, & Assessments
ACTIVITIES
Polynomials & Polynomial Functions
 Apply Remainder and Factor Theorems
 Perform Long & Synthetic Division
 Determine Number of Complex Zeroes of a Polynomial Function
 Determine the Sum & Product of the Roots of a Quadratic Equation
 Apply the Conjugate Zeroes Theorem
Rational Expressions, Equations and Functions
 Multiply and Divide Rational Expressions
 Solve Rational Equations and Inequalities
 Add and Subtract Rational Expressions With Like Denominators
 Add and Subtract Rational Expressions With Unlike Denominators
 Simplify Complex Fractions
Exponential and Logarithmic Functions
 Graph Exponential & Logarithmic Functions
 Use the Common Logarithmic and Natural Logarithmic Functions
 Use Properties of Logarithms
 Solve Exponential and Logarithmic Equations
 Solve Real World Problems using Exponential and Logarithmic Functions
Sequences and Series
 Introduce Sequences & Series
 Compute any Term in an Arithmetic or Geometric Sequence
 Evaluate Arithmetic & Geometric Series
ASSIGNMENTS
#90: Section 9.1: The Remainder and Factor Theorems
Page 386-388: 6, 16, 21, 22, 24, 25, 27-31, 37-39, 42
#91: Page 386-388: 17, 19, 20, 23, 26, 32-36, 43, 45, 46
#92: Section 9.2: The Rational-Zero Theorem
Page 392-395: 1-5 odd, 6, 8-10, 13, 14, 20, 21, 23, 27
#93: Page 392-395: 2, 11, 17,18, 22, 24-26, 29, 30, 33, 34
#94: Section 9.4: Four Useful Theorems
Page 406-409: 1, 3, 5, 8, 9, 11, 12, 14, 17, 18, 21, 24, 26, 29, 31
#95: Page 406-409: 2, 4, 6, 7, 10, 13, 15, 19, 20, 25, 28, 33, 34a, 36
#96: Section 9.5: The Binomial Theorem
Page 413-415: 1, 3, 5, 6, 8, 11, 12, 14, 16-18, 21, 24, 27, 34, 35, 40
#97: Page 413-415: 7, 9, 10, 13, 15, 19, 20, 22, 25, 26, 30, 32, 38, 39
#98: Chapter Review
Page 423-24: 1, 4-6, 8-14, 17, 23, 26, 28
#99: Section 10.1: Multiplying and Dividing Rational Expressions
Page 430-433: 1-17 odd, 22, 24, 28, 30, 32, 33, 36, 38
#100: Page 430-433: 2-20 even, 23, 25-27, 29, 31, 34, 40, 46
#101: Section 10.2: Rational Equations and Inequalities
Page 438-441: 1-11 odd, 14, 16, 19, 22-26, 28-31, 36, 44, 47, 52, 53
#102: Page 438-441: 2, 4, 6, 10, 12, 15, 17, 18, 20, 27, 32, 33, 39-43, 48, 51, 54, 58
#103: Section 10.3: Adding and Subtracting Rational Expressions With Like Denominators
Page 445-447: 1-11 odd, 16, 19, 21-24, 29, 31, 36, 37, 44, 51
#104: Page 445-447: 2-14 even, 15, 18, 25a, 27, 28, 30, 32, 38, 45, 48
#105: Section 10.4: Adding and Subtracting Rational Expressions With Unlike Denominators
Page 450-453: 1-13 odd, 18, 21, 24, 25, 27, 28, 30, 33, 39, 42-45
#106: Page 450-453: 2-12 even, 15-17, 19, 20, 29, 31, 34, 35, 41, 48-51
#107: Section 10.5: Complex Fractions
Page 457-460: 1-13 odd, 14, 17, 23, 24, 26, 30, 33, 35, 40, 42, 47
#108: Page 457-460: 2-12 even, 15, 16, 18, 25, 28, 29, 31, 38
#109: Chapter Review
Page 462-464: 1, 3, 5-10, 12, 13, 15-19, 21, 23, 24, 27, 28, 30, 31, 33, 35, 36, 39, 41, 52
#110: Section 11.1: Definitions and Graphs of Exponential & Logarithmic Fns
Page 476-479: 1-7 odd, 8-11, 14-17, 23, 28-31, 34, 37, 39-41
#111: Page 476-479: 2-6 even, 12, 18, 19-22, 24-27, 32, 43, 44(a & b), 45
#112: Section 11.2: Two Important Exponential and Logarithmic Functions
Page 483-486: 1-13 odd, 14, 17, 27-30, 33, 39, 42, 43, 45
#113: Page 483-486: 2-10 even, 18, 20, 21, 22, 25, 31, 32, 34, 35, 38, 44, 46
#114: Section 11.3: Properties of Logarithms
Page 490-493: 1-7 odd, 8-10, 12, 14, 15, 17-22, 24, 28, 30(a & b), 33, 36
#115: Page 490-493: 2-6 even, 11, 13, 23, 26, 27, 29(a & b), 32, 34
#116: Section 11.4: Solving Exponential and Logarithmic Equations
Page 498-500: 1-9 odd, 10, 12, 15, 19, 21-24, 27, 29, 31, 32, 35
#117: Page 498-500: 2-8 even, 11, 17, 18, 26, 28, 30
#118: Section 11.5: Applications of Exponential and Logarithmic Functions
Page 505-508: 2, 3, 6, 7, 9,12(a & b), 13, 17, 19, 23, 24
#119: Chapter Review
Page 515-518: 1-6, 10-13, 17, 20, 23, 24, 26, 27, 32, 34, 35 (a & b)
#120: Section 13.1: Sequences
Page 566-569: 1-12, 17-19, 22, 26, 33-35, 37
#121: Section 13.2: Series
Page 573-575: 3-5, 8-15, 17-20, 23, 30, 31, 36, 37
#122: Section 13.3: Arithmetic Sequences and Series
Page 579-581: 1-15 odd, 18, 19, 25-27, 33, 35, 43
#123: Page 579-581: 2-16 even, 17, 22, 28-32, 34, 38, 39, 41
#124: Section 13.4: Geometric Sequences and Series
Page 587-589: 1, 3, 6, 8-12, 21-24, 32, 33
#125: Page 587-589: 2, 4, 7, 13-15, 18-20, 29, 30
#126: Page 592-594: 1-3, 10-20, 22, 28, 38, 42-45 (Chapter Review)
ASSESSMENTS
Homework will be assigned on a daily basis. Grades will be based on homework checks, quizzes and
chapter tests. A final exam will be given at the end of the school year.
Terminology
factor theorem, fundamental theorem of algebra, multiplicity, remainder theorem, synthetic division,
complex fractions, rational expressions, equations & inequalities, restricted values, anti-logarithms, base,
base change formula, common logarithmic function, exponential equations/functions, logarithmic
equations/functions, natural logarithmic function, arithmetic means, arithmetic sequences and series,
common difference, common ratio, geometric means, geometric sequences and series, sequence of partial
sums, sum of an infinite series
Media, Technology, Web Resources
Graphing calculator TI-83 or 84