Algebra II Honors
1200340
Textbook: Algebra 2 Honors Gold Series, Prentice Hall
Curriculum and Pacing Guide
Revised June 2011
New Benchmarks: www.floridastandards.org
Springboard (SB)
Study Island (SI): http://www.studyisland.com/
General Strategies
Benchmark
MA.912.A.10.3
Description
Decide whether a given statement is always, sometimes, or never true (statements involving
linear or quadratic expressions, equations, or inequalities rational or radical expressions or
logarithmic or exponential functions).
General notes:
1. SAT / PSAT review should occur throughout the year as appropriate.
2. All tests are cumulative. For each chapter after the first, assign important review problems and include similar ones on the test.
Research indicates that recall and retention will be enhanced.
3. As much as possible, make lessons relevant with real-world applications and examples. NCTM publications and websites are
excellent resources.
4. Use graphing calculators as a resource for exploration and enhancement. Students should master algebraic processes by hand first,
then on the calculator.
The Essential Questions
Quarter 1
 How to solve equations and inequalities.
 How to write an equation of a line.
 How to translate functions.
 How to solve absolute values and graph the solution.
 How to solve systems of equations.
 How to solve and graph quadratic functions.
Quarter 2
 How to simply and solve with complex numbers.
 How to solve polynomial equations.
 How to divide polynomial equations.
 How to understand theorems about roots of polynomial equations.
 How to transform a polynomial function.
Quarter 3
 How to solve and simply radical expressions.
 How to find the inverse.
 How to solve and simply exponential functions.
 How to solve and simply logarithmic functions.
 How to solve and simply rational expressions.
Quarter 4
 What is the difference between arithmetic and geometric sequence.
 How to find a certain term with an arithmetic and geometric sequence.
 How to find the sum of arithmetic and geometric series.
 What is a conic section.
 How to find standard form and graph parabola, circle, ellipse, and hyperbola.
 How to translate conic sections.
Week 1 Concepts:
Day 1: Introductions/opening things
Solving equations and inequalities
Solving absolute value equations and inequalities
Ch 1 Review
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
Equation, Solution of an
equation, Inverse operations,
Identity, Literal equation,
Compound Inequality
Absolute value, Extraneous
solution
20518,20516,7301,
20281
(SI) Diagnostic Test
(SI) Reasoning with
Equations and
Inequalities
HS Math Algebra
(SI) Absolute Value
Equations &
Inequalities
Algebra II
1
1.4-1.5
Solving Equations and
Inequalities
MA.912.A.3.3
MA.912.A.10.3
MA.912.A.3.6
2
1.6
Absolute Value
Equations and
Inequalities
MA.912.A.3.6
1
Week 2 Concepts:
Chapter 1 Test
Relations and Functions
Linear Equations
Direct Variation
Slope-Intercept Form
Days
Section
2
7954,20336,161687,
20515,16236,8365,
20251,20517,7184,
Review
Topic
Test on Ch 1
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
1
2.1
Relations and
Functions
MA.912.A.2.6
1
2.2
Direct Variation
MA.912.A.2.12
1
2.3
Linear Function and
Slope-Intercept Form
MA.912.A.3.10
MA.912.A.2.6
Topic
More About Linear
Equations
Week 3 Concepts:
Linear Equations
Quiz 2.1-2.4
Functions
Days
Section
1
2.4
1
1
1
2.1-2.4
2.6
Review
Quiz
Family of Functions
Relation, Domain, Range,
Function, Vertical-line test,
Function rule, Function
notation, Independent
variable, Dependent variable
Direct variation, Constant of
variation
Slope, Linear function,
Linear equation, y-intercept,
x-intercept, slope-intercept
form
8017,16235,
SB 1.4
16698,172902
SB 5.5
20520, 7984,
(SI) Solve Linear
Equations
HS Math Algebra
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
MA.912.A.3.10
Point-slope form, Standard
form of a linear equation,
Parallel lines, Perpendicular
lines
7959,20519, 20521,
20525,
MA.912.A.2.12
Parent function,
Transformation,
Translation, Reflection,
Vertical Stretch, Vertical
compression
80620,
SB 5.5
Week 4 Concepts:
Absolute Value
Inequalities
Review and Test Ch 2
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
MA.912.A.2.5
MA.912.A.2.6
MA.912.A.2.10
MA.912.A.2.5
Absolute value function,
Axis of symmetry, Vertex
80624,80586, 8365
Extensions/
Resources
SB 1.3
Linear inequality,
Boundary, Half-plane, Test
point
80636
SB 1.1
Vocabulary / Comments
DW Item #s
Extensions/
Resources
System of equations, Linear
system, Solution of a
system, Inconsistent system,
Consistent System,
Independent system,
Dependent system
Equivalent Systems
20523,161693,
SB 1.2
1
2.7
Absolute Value
Functions and Graphs
2
2.8
Two-Variable
Inequalities
1
1
Review
Test Ch 2
(Include key questions
from Ch. 1 and 2)
Week 5 Concepts:
Ch 2 Test
Systems of Equations
Days
Section
1
1
3.1
1
3.2
Systems of Inequalities
Review for Quiz
Topic
Benchmarks
Test Ch 2
(Include key questions
from Ch. 1 and 2)
Solving Systems using
Tables and Graphs
MA.912.A.3.14
MA.912.A.3.15
Solving Systems
Algebraically
MA.912.A.3.14
MA.912.A.3.15
20522,16220,
SB 1.2
(SI) Systems of
Equations
Algebra II
1
3.3
Systems of Inequalities
1
Review
Week 6 Concepts:
Quiz
Linear Programming
Systems of Equations with 3 Variables
System of Equations using Matrices
Days
Section
Topic
MA.912.A.3.14
MA.912.A.3.15
80647,80655,81090,81
093
SB 1.2
(SI) Systems of
Inequalities
Algebra II
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
MA.912.A.3.14
MA.912.A.3.15
Constraint, Linear
programming, Feasible
region, Objective function
16285,19045,
SB 1.1
7986,16208,
SB 1.2
1
1
3.1-3.3
3.4
Quiz
Linear Programming
1
3.5
2
3.6
System with Three
Variables
Solving Systems Using
Matrices
MA.912.A.3.14
MA.912.A.3.15
MA.912.A.3.14
MA.912.A.3.15
Matrix, Matrix element,
Row operation
81100,7163,168193
SB 1.7
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
Review
Chapter 3 Test
(Include key questions
from Ch. 1-3)
Quadratic Functions
and Transformations
MA.912.A.2.10
MA.912.A.2.6
Parabola, Quadratic
function, Vertex form, Axis
16281,7997,
SB 3.5
SB 3.6
Week 7:
Review
Ch 3 Test
Quadratic Functions
Days
Section
1
2
1
4.1
1
4.2
Week 8:
Quadratic Functions
Review
Quiz
Days
Section
1
4.3
2
4.4
1
1
Week 9:
Quadratic Equations
Completing the Square
Quadratic Formula
Complex Number
MA.912.A.7.6
of symmetry, Vertex of the
parabola, Minimum value,
Maximum value
Standard Form of a
Quadratic Function
MA.912.A.7.6
MA.912.A.2.6
Standard Form
16234,
SB 3.5
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Modeling With
Quadratic Functions
Factoring Quadratic
Expressions
MA.912.A.3.15
Extensions/
Resources
SB 3.1
MA.912.A.4.3
Factoring, GCF of an
expression, Perfect square
trinomial, Difference of two
squares
20498,20570,1626,717
1
7232,7228,20531,
7164,7236,20532,
SB 3.2
Review
Quiz
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
1
4.5
Quadratic Equations
MA.912.A.4.8
20500,16255,7669
2
1
4.6
4.7
Completing the Square
Quadratic Formula
MA.912.A.7.3
MA.912.A.7.4
Zero of a function, ZeroProduct Property
Completing the Square
Quadratic Formula,
Discriminant
Extensions/
Resources
SB 3.2
80679,81282,81283
7173,7200,7211,16197,
SB 3.4
SB 3.4
(SI) Quadratic
Equations &
Inequalities
Algebra II
1
4.8
Part 1
Complex Numbers
MA.912.A.7.5
MA.912.A.1.6
Imaginary number,
Complex number, Complex
number plane, Absolute
value of a complex number,
Complex conjugates
8867,7183,7996,16199,
SB 3.3
(SI) Complex
7208,
Numbers
Algebra II
Week 10:
Complex Numbers
Quadratic Systems
Review and Test Ch 4
Days
Section
Topic
Benchmarks
Vocabulary / Comments
1
4.8
Part 2
Complex Numbers
MA.912.A.7.5
MA.912.A.1.6
Imaginary number,
Complex number, Complex
number plane, Absolute
value of a complex number,
Complex conjugates
1
1
1
4.9
Quadratic Systems
Review
Ch 4 Test
(Include key questions
from Ch. 1-4)
Week 11:
Polynomial Functions
Solving Polynomials
Solving and Dividing Polynomial Equations
Days
Section
Topic
1
5.1
Polynomial Functions
MA.912.A.7.7
DW Item #s
Extensions/
Resources
SB 3.3
8867,7183,7996,16199,
(SI) Complex
7208,
Numbers
Algebra II
7601,7779,7873,7890
Benchmarks
Vocabulary / Comments
DW Item #s
MA.912.A.2.6
MA.912.A.4.5
Monomial, Degree of a
polynomial, Polynomial
Function, Standard form of
7226,20527,20529,
Extensions/
Resources
SB 4.1
(SI) Polynomial
Functions & Graphs
1
5.2
Polynomial, Linear
Factors and Zeros
2
5.3
Solving Polynomial
Equations
1
5.4
Week12:
Review and Quiz
Theorems
Days
Section
1
1
2
5.5
Dividing Polynomials
Topic
Review
Quiz
Theorems about Roots
of Polynomial
Equations
Week 13:
Theorems
Fundamental Theorem of Algebra
Binomial Theorem
Transforming Polynomials
Days
Section
Topic
2
5.6
2
5.7
The Fundamental
Theorem of Algebra
The Binomial Theorem
MA.912.A.4.7
MA.912.A.4.8
MA.912.A.4.3
MA.912.A.4.9
MA.912.A.4.3
MA.912.A.4.10
MA.912.A.4.3
MA.912.A.4.4
MA.912.A.4.6
a polynomial function,
Turning point, End behavior
Factor theorem, Multiple
zero, Multiplicity, Relative
maximum and minimum
Sum of cubes, Difference of
cubes
Algebra II
8038,16288,7164,1616
88,7232
8038,16233,20530
SB 4.4
SB 4.3
(SI) Polynomials
Algebra II
Synthetic division,
Remainder theorem
8032,16243,8036,1623
1,16239,
SB 4.2
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
MA.912.A.4.6
MA.912.A.4.7
Rational Root Theorem,
Conjugate Root Theorem,
Descartes’ rule of Signs
8036,16231,16239,
7683,7240,8035,16168
8
SB 4.3
SB 4.4
Benchmarks
Vocabulary / Comments
DW Item #s
MA.912.A.4.6
Fundamental Theorem of
Algebra
Expand, Pascal’s Triangle,
Binomial Theorem
7240,7688
Extensions/
Resources
SB 4.3
8039,7177,7178,16212,
16580,
SB 4.4
SB 4.6
MA.912.A.4.12
(SI) Binomial Thm
HS Math Algebra
1
5.9
Transforming
Polynomial Function
MA.912.A.2.10
Power Function, Constant
of Proportionality
16281,7997,
SB 4.4
Week14:
Review
Test
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
3
2
Week 15:
Flex Days
Days
5
Week 16:
Flex Days
Days
5
Review
Test
Section
Topic
Flex Days
Section
Topic
Flex Days
Midterm Weeks 17 - 19
First Half
Course Content and Instruction
Midterm Prep and Exam
Flex Days
Total Days
67
10
10
87
Week 20:
Roots and Radical Expressions
Radical Expressions
Days
Section
1
6.1
2
6.2
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Roots and Radical
Expressions
Multiplying and
Dividing Radical
Expressions
MA.912.A.6.2
Nth root, principal root,
radicand, index
Simplest form of a radical,
Rationalize the denominator
20540,16201,
Extensions/
Resources
SB 5.3
8023,
SB 5.3
Extensions/
Resources
SB 5.3
MA.912.A.6.2
Week 21:
Binomial Radical Expressions
Rational Exponents
Quiz
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
1
6.3
MA.912.A.6.2
Like radicals
7851,7246,16204
2
6.4
Binomial Radical
Expressions
Rational Exponents
MA.912.A.6.3
MA.912.A.6.4
Rational exponent
7306,7842,20280,2052
8,20533,20534
SB 5.3
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Solving Square Root
and Other
MA.912.A.6.5
MA.912.A.6.4
Radical equation, Square
root equation
7246,7851,
7221,8028,16200
Extensions/
Resources
SB 5.2
SB 5.3
1
1
Week 22:
Square Roots
Inverse
Radical Functions
Review
Days
Section
1
6.5
Review
Quiz
(SI) Rational &
Radical Equations
Algebra II
1
6.6
Function Operations
1
6.7
Inverse Relations and
Functions
1
6.8
1
Week 23:
Ch 6 Test
Exponential Functions
Days
Section
2
2
1
7.1
7.2
Week24:
Logarithmic Functions
Review and Quiz
Days
Section
2
7.3
MA.912.A.2.7
MA.912.A.2.8
MA.912.A.2.11
Composite Function
7278,20524, 16210,
Inverse relation, Inverse
function, One-to-one
function
7281,8016,
SB 5.1
SB 5.1
(SI) Function
Inverses
Algebra II
Graphing Radical
Functions
Review
MA.912.A.2.6
MA.912.A.2.10
Radical Function, Square
Root Function
8859
SB 5.2
SB 5.2
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Extensions/
Resources
MA.912.A.8.1
MA.912.A.8.3
MA.912.A.8.7
8363,16569,16206
Ch 6 Test
(Include key questions
from Ch. 1-6)
Exploring Exponential
Models
Properties of
Exponential Functions
MA.912.A.8.1
MA.912.A.8.3
MA.912.A.2.10
Exponential function,
Exponential growth,
Exponential decay,
Asymptote, Growth factor,
Decay factor
Natural base exponential
function, Continuously
compounded interest
Topic
Benchmarks
Logarithmic Functions
MA.912.A.8.1
SB 2.3
(SI) Exponential
Functions & Graphs
Algebra II
80785,80810,80835
SB 2.3
(SI) Exponential
Functions &
Graphs
Algebra II
Vocabulary / Comments
DW Item #s
Logarithm, Logarithmic
8075,8860 ,7255,7212,
Extensions/
Resources
SB 2.4
as Inverses
1
1
1
Week 25:
Logarithms
Days
1
MA.912.A.8.3
MA.912.A.2.11
function, Common
logarithm, Logarithmic
scale
7.4
Part 1
Review
Quiz
Properties of
Logarithms
MA.912.A.8.2
MA.912.A.8.6
Change of base formula
8041,8361,8862,16211,
16230, 7734,8861,
SB 2.4
SB 2.5
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
7.4
Part 2
Properties of
Logarithms
MA.912.A.8.2
MA.912.A.8.6
Change of base formula
8041,8361,8862,16211,
16230, 7734,8861,
Extensions/
Resources
SB 2.4
SB 2.5
(SI) Logarithms &
Exponents
HS Math Functions
2
7.5
1
7.6
Part 1
Week 26:
Logarithms
Review and Test
Days
Section
1
7.6
Part 2
1
2
1
8.1
Exponential and
Logarithmic Equations
Natural Logarithms
Inverse
Topic
Natural Logarithms
Review
Ch 7 Test
(Include key questions
from Ch. 1-7)
Inverse Variation
MA.912.A.8.5
MA.912.A.8.1
MA.912.A.8.5
Exponential equation,
Logarithmic equation
Natural logarithmic function
7939,7937
SB 2.6
8361,8863,16209,1656
8,
Benchmarks
Vocabulary / Comments
DW Item #s
MA.912.A.8.1
MA.912.A.8.5
Natural logarithmic function
8361,8863,16209,1656
8,
MA.912.A.2.12
Inverse variation, Combined
variation, Joint variation
16245,8031,7266
Extensions/
Resources
SB 5.5
Week 27:
Rational Functions
Days
Section
1
8.2
2
8.3
1
1
Week 28:
Rational Expressions
Days
Section
Review and Quiz
Topic
Benchmarks
The Reciprocal
Function Family
Rational Functions and
Their Graphs
MA.912.A.2.10
MA.912.A.2.12
MA.912.A.5.6
Vocabulary / Comments
DW Item #s
Reciprocal function, Branch
81776,81777,81778,13
3263
81776,81777,81778,13
3263
Rational function,
Continuous, Discontinuous,
Point of discontinuity,
Removable discontinuity,
Non-removable
discontinuity
Rational Equations
Topic
Benchmarks
(SI) Rational
Functions & Graphs
Algebra II
Vocabulary / Comments
DW Item #s
8856,8363,8049,
20537,7296,8049,2053
6,16207,7260
8051,16205,
7273,16222,20538
7263,20539,8055,1621
7,
8.4
Rational Expressions
MA.912.A.5.2
Rational expression,
Simplest form
2
8.5
8.6
MA.912.A.5.2
MA.912.A.5.3
MA.912.A.5.5
Complex Fraction
2
Adding and Subtracting
Rational Expressions
Solving Rational
Equations
Benchmarks
Vocabulary / Comments
1
2
SB 5.4
SB 5.5
SB 5.6
Review
Quiz
1
Week 29:
Review and Test
Days
Section
Extensions/
Resources
SB 5.5
Patterns
Topic
Review
Ch 8 Test
(Include key questions
from Ch. 1-8)
Rational equation
DW Item #s
Extensions/
Resources
SB 5.6
SB 5.7
SB 5.6
SB 5.7
SB 5.7
Extensions/
Resources
1
9.1
Week 30:
Sequences
Review and Quiz
Series
Days
Section
Mathematical Patterns
MA.912.D.11.1
Sequence, Term of a
sequence, Explicit formula,
Recursive formula
13124,13127,14898
SB 2.1
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Arithmetic sequence,
Common difference,
Arithmetic mean
Geometric Sequence,
Common ratio, Geometric
mean
7114,7175,16213,
Extensions/
Resources
SB 2.1
16242,8066,
8366,8358,
SB 2.2
MA.912.D.11.1
MA.912.D.11.2
MA.912.D.11.4
Series, Finite Series, Infinite
Series, Arithmetic Series,
Limits
8065,16214,
8068,7176,
SB 2.1
Extensions/
Resources
SB 2.2
1
9.2
Arithmetic Sequence
MA.912.D.11.1
MA.912.D.11.3
1
9.3
Geometric Sequence
MA.912.D.11.1
MA.912.D.11.3
9.4
Review
Quiz
Arithmetic Series
1
1
1
Week 31:
Series
Review and Test
Days
Section
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
2
9.5
Geometric Series
MA.912.D.11.2
MA.912.D.11.4
Geometric Series,
Converge, Diverge
7174,7124,
1
2
Review
Ch 9 Test
(Include key questions
from Ch. 1-9)
Week 32:
FCAT Week
Days
5
Week 33:
Ch 9 Test
Conic Sections
Parabolas
Circles
Days
Section
1
10.1
2
10.2
2
10.3
Week 34:
Review and Quiz
Ellipse and Hyperbola
Days
Section
1
1
1
10.4
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Exploring Conic
Sections
Parabolas
MA.912.A.9.2
Conic Section
81895,81896,
MA.912.A.9.1
MA.912.A.9.2
Focus of a parabola,
Directrix, Focal Length
8058,16244,
MA.912.G.6.6
MA.912.G.6.7
Circle, center of a circle,
Radius, Standard form of
the equation of a circle
7139,16227,
Topic
Benchmarks
Vocabulary / Comments
DW Item #s
Review
Quiz
Ellipses
MA.912.A.9.2
Ellipse, Focus of an ellipse,
Major axis, Center of an
ellipse, Minor axis, Vertices
of an ellipse, Co-vertices of
an ellipse
7158,7199,16198,
Circles
Extensions/
Resources
SB 7.1
SB 7.4
(SI) Parabola &
Circle Equations
HS Math Geometry
SB 7.2
(SI) Parabola &
Circle Equations
HS Math Geometry
Extensions/
Resources
SB 7.2
(SI) Ellipses &
Hyperbolas
HS Math Geometry
1
10.5
1
1
1
MA.912.A.9.2
Hyperbola, Focus of the
hyperbola, Vertex of a
hyperbola, Transverse axis,
Axis of symmetry, Center
of a hyperbola, Conjugate
axis
7196,8061,
Vocabulary / Comments
DW Item #s
Extensions/
Resources
81894,81897,81898,
81916
SB 7.1 – 7.5
SB 7.3
(SI) Ellipses &
Hyperbolas
HS Math Geometry
Review
Week 35:
Quiz
Conic Sections
Review and Test
Days
Section
1
2
Hyperbola
10.6
Topic
Quiz
Translating Conic
Sections
Review
Ch 10 Test
(Include key questions
from Ch. 1-10)
Benchmarks
MA.912.A.9.1
MA.912.a.9.2
Flex Days Week 36
Final Review and Finals Weeks 37-39
Second Half
Course Content and Instruction 75
Final Prep and Exam
13
Flex Days
5
Total Days
93