Algebra II Honors
Curriculum and Pacing Guide
Revised June, 2007
Curriculum and Pacing Guide
Mathematics: Algebra II Honors
Textbook: Algebra and Trigonometry Structure and method: McDougal Littel
General notes:
1. For classes taught in the fall term, SAT / PSAT review should be concentrated in August and September.
For courses taught second term, these reviews should occur in May during AP testing and other schoolrelated activities.
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.
5. Benchmarks and FCAT test question type are indicated as appropriate. Include a few FCAT-type
questions on tests, quizzes and worksheets. Supplement the curriculum with FCAT review of Strands B, C
and E.
MC=Multiple Choice
SR=Short Response
GR= Gridded Response
ER=Extended Response
Algebra II Honors - Chapter 1: Basic Concepts of Algebra
Review as necessary
Algebra II Honors – Chapter 2: Inequalities and Proof
Block
Days
Section
Topic
Benchmarks
Extensions
2.1
Solving Inequalities
in one variable
Solving Combined
Inequalities
Interval Notation
Problem solving
using inequalities
Absolute Value in
Open Sentences
MA.A.2.4.2
Linear Inequalities:
Using Algebra
2.5
Solving Absolute
value sentences
graphically
“
2.6
Theorems and
proofs ( reasons
only)
Theorems about
order and Absolute
MA.A.3.4.2
1
2.2
supplement
2.3
2.4
1
0
2.7
“
MA.A.2.4.1
“
“
Vocabulary /
Comments
Conjunction;
disjunction
Inequality
Graphing App
Solving Absolute
Values
Introducing the
Absolute Value
Function
Verifying Absolute
Value Inequalities
with a Graphical
Approach
Graphing
Functions:
Absolute Value
TI: Hit Them All Absolute Value
Pool
Absolute Value
and Piecewise
Functions
Preparing for
Proofs
Converse;
counterexample
DW Item #s
value
Review
Test on Chapters 1,
2
Total
1
1
4
Algebra II Honors – Chapter 3: Linear Equations and Functions
Block
Days
Section
Topic
Benchmarks
3.1
Open Sentences in
Two Variables
Graphs of Linear
Equations in Two
variables
The slope of a line
Finding and Equation
of a Line
Systems of Linear
Equations in Two
Variables
MA.D.2.4.2
1
3.2
1
3.3
3.4
1
3.5
Extensions
MA.D.2.4.1
Vocabulary / Comments
Abscissa, ordinate
“
“
MA.D.2.4.2
Solving Linear Systems by
Graphing, Substitution, or
Elimination
Systems Solutions
Solving Linear Systems by
Graphing, Substitution, or
Consistent, inconsistent,
dependent, independent
DW Item #s
1
Elimination
Linear Inequalities: Using
Algebra
Solving Systems Using
Matrices- The Long Way
and The Short Way
9.9
Systems of equations
in 3 variables
3.6
Problem solving
using systems
Linear Inequalities in
Two variables
“
3.8
Functions
MA.D.1.4.1
3.9
3.10
Linear Functions
Relations: Probs 110; Optional:
Sections B and C
“
“
1
3.7
“
1
1
1
8
Review
Test Ch. 3 (and
include key questions
from Ch. 1 and 2)
Total
Solving Systems involving
Quadratic Equations:
Systems of Conics
Winning Inequalities (Part 1)
Winning Inequalities (Part 2)
Maximizing Your Efforts
Linear Programming-Cookie
Dough Kits
Introducing Families of
Functions
Domain and Range
Solve by hand in this
chapter.
Once mastered, show
graphing calculator
method after 16.6
boundary
Domain, range
Supplement with
Absolute Value graphs:
Heath Algebra 2, PP 104105
Algebra II Honors – Chapter 4: Products and Factors of Polynomials
Block
Days
1
1
Section
Topic
4.1
Polynomials
4.2
Using Laws of
Exponents
Multiplying
Polynomials
4.3
4.4
1
4.5
1
4.6
2
4.7
0
4.8
Using prime
Factorization
Factoring Polynomials
Review
Factoring Quadratic
Polynomials (Teach
splitting the middle
term for ax^2+bx+c)
Solving Polynomial
Equations
Problem solving:
Benchmark
Extensions
Polynomial Operations
MA.A.3.4.1
“
Vocabulary / Comments
Degree of monomial;
degree of polynomial;
constant
Laws of Exponents
Definitions and Laws of Exponents
Polynomial Multiplication
Multiplying and Dividing
Monomials
p. 181 only
MA.D.1.4.1
Multiplying/Factoring Polynomials
Prob. 1-42
“
Multiplying/Factoring Polynomials
More difficult factoring
Linear Term; quadratic
term
“
Polynomial Root Finder App
Linear, quadratic, cubic,
quintic, root, zero of a
function, root /solution
of an equation, double
root, double zero
Polynomial Function and Fitting a
Curve
DW Item #s
4.9
1
1
8
Polynomial Equations
“ “ Polynomial
Inequalities
Review
Test Ch. 4 (and 1-3)
Total
Inequalities, They Are Not Just
Linear Anymore!
Algebra II Honors – Chapter 5: Rational Expressions
Block
Days
Section
Topic
Benchmarks
5.1
Quotients of
Monomials
Zero and Negative
Exponents
Scientific Notation
and Significant
Digits
Rational Algebraic
expressions
Products and
Quotients of Rational
Expressions
Graphing Rational
Functions
MA.A.3.4.1
Sums and differences
of rational
Expressions
Complex Fractions
Fractional
Coefficients
MA.A.3.4.1
1
5.2
5.3
5.4
1
5.5
1
1
5.6
1
5.7
5.8
“
MA.A.1.4.4
Extensions
Definitions and Laws of Exponents
Exponential Functions: Zero and
Negative Exponents
Scientific Notation
TI: Significant Figures Using the
Sci Tools App
MA.A.3.4.3
Rational Expression Multiplication
MA.D.2.4.1
Rational Functions and Their
Asymptotes
Rational Functions - Asymptotes
and Holes
Evaluating Rational Functions
Rational Addition, Subtraction
“
“
Vocabulary / Comments
Significant digit
Review multiplying and
dividing simple numeric
fractions first
p. 230-231: Include
Removable discontinuities
Review adding and
subtracting simple numeric
fractions first
DW Item #s
1
2
1
9
5.9
Fractional Equations
Review
Test Ch. 5 (and 4, 3,
2, 1)
Total
“
Solving Rational Expressions
Extraneous root
Algebra II Honors – Chapter 6: Irrational and Complex Numbers
Block
Days
1
Section
Topic
Benchmarks
6.1
Roots of Real
Numbers
Properties of
Radicals
Sums of Radicals
Binomials containing
Radicals
Equations
Containing Radicals
Rational and
Irrational Numbers
The Imaginary
number
The Complex
Numbers
Total
MA.A.2.4.2
6.2
1
6.3
6.4
6.5
0
6.6
1
6.7
6.8
3
Extensions
Powers, Roots, and Radicals
Radicals
“
Principal square root
Simplest radical form
MA.A.3.4.1
“
Exploring Families of Functions
Quadratic Equations
MA.A.2.4.2
MA.A.2.4.3
MA.A.2.4.3
Vocabulary / Comments
Key Curriculum Press Advanced
Algebra: Project The Madelbrot Set
DW Item #s
Algebra II Honors – Chapter 7: Quadratic Equations and Functions
Block Days
1
2
1
Section
7.1
7.2
7.3
Topic
Completing The Square
The Quadratic Formula
The Discriminant
7.4
Equations in Quadratic
Form
7.5
Graphing y=a(x-h)^2 + k
7.6
7.7
1
1
6
Quadratic Functions
Writing Quadratic
Equations and Functions
Review
Test Ch. 7 (and 1-6)
Total
Instructional Days: 38
SAT,Labs,Flex Days: 7
45
Midterm Exam
Benchmarks
Extensions
MA.A.2.4.2
MA.A.2.4.3
Quadratic Functions The Discriminant
Exploring Standard
Form of a Quadratic
Function
MA.D.1.4.2
Graphing Families of Quadratic
Functions
MA.D.2.4.1
Quadratic Regression with
Transformation Graphing
Writing Equations of Parabolas
in Vertex Form
Vocabulary / Comments
Axis of symmetry; vertex; parabola – Use
graphing calculator for exploration once
graphing by hand is mastered
DW