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Transcript
Algebra II Syllabus
Number of Days
to be spent on
each Section
First Half Class - 9 weeks
Chapter 1 Review of Basic Algebra
8 days
Chapter 2 Linear Equations
7 1/2 days
Chapter 3 System of Linear
Equations and
Inequalities
7 days
Chapter 4 Matrices and
Determinants
6 1/2 days
Chapter 5 Quadratic Equations and
Parabolas
8 days
Chapter 6 Functions
4 days
Project Exploring Data
2 days(2 in and 3 out of class)
Review for Ch 1 - 6 Exam
1 day
End of the nine weeks Exam Ch 1 - 6
1 day
45 days
Second Half of Class - 9 weeks
Chapter 7 Powers, Roots and
Radicals
7 days
Chapter 8 Exponential and
Logarithmic Functions
7 1/2 days
Chapter 9 Polynomials and
Polynomials Functions
8 days
Chapter 10 Rational Functions
7 days
Chapter 11 Quadratic Relations
6 days
Set Notation
2 days
Review
5 days
End of the Semester Exam
1 day
45 days
Chapter 1 Review of Basic Algebra
Number of Days
to be spent on
each Section
Homework
Properties for Project
1 day
Worksheet
1-1
Real Numbers and Number
Operations
1/2 day
(graphing calculator)
p 6 8 - 54 even
1-2
Algebraic Expressions and
Models
1/2 day
(graphing calculator)
p 12 8 - 66 even
1-3
Solving Linear Equations
1 day
(graphing calculator)
p 21 6 - 64 even
1-4
Problem-Solving Strategies
1 day
WB p 4
Mid Chapter Quiz
1/2 day
1-5
Literal Equations and Formulas
1/2 day
p 34 2 - 24 even
1-6
Solving Linear Inequalities
1 day
p 41 8 - 54 even
1-7
Solving Absolute Value
Equations and Inequalities
1 day
p 47 6 - 60 even
1 day
Study Guide
3.14
Use equations and inequalities
with absolute value to solve
problems. Solve by located
points on the number line.
Review for Chapter Test
Vocabulary Quiz Chapter 1
1/2 day
Test Chapter 1
1 day
9 1/2 days
Chapter 2 Linear Equation
Number of Days
to be spent on
each Section
Homework
2-1
The Graph of an Equation
1/2 day
p67 2-60
2-2
Slope and Rate of Change
1 day
p74 6-58
2-3
Quick Graphs of Linear
Equations
1/2 day
p81 8-44
2-4
Writing Equations of Lines
1 day
p90 6-30
Mid Chapter Quiz
1/2 day
p93 to study
2-5
Graphing Linear Inequalities in
Two Variables
1/2 day
W/ Ch 3
p97 6-54
2-6
Graphs of Absolute Value
Equations
1 day
p104 6-56
Review
1 day
p115-118 even
p119 all
Unit Test
1/2 day
6 ½ days
3.14
Use equations and inequalities with
absolute value to solve problems. Solve
by locating points on the coordinate
plane.
Chapter 3 Systems of Linear
Equations and Inequalities
3 -1
Solving Linear Systems by
Graphing
3.12
Use systems of two or more
equations to solve problems.
Solve by graphing.
3 -2
Solving Linear Systems
Algebraically
3.12
Use systems of two or more
equations to solve problems.
Solve by elimination and/or
substitution.
3 -3
Problem Solving Using
Linear Systems
3.12
Use systems of two or more
equations to solve problems.
Solve by graphing. Solve by
elimination and/or substitution.
Number of Days to be
spent on each Section
Homework
1 day
p125 4-36
1 day
p134 6-28
1 day
Worksheet
in next Chapter
Mid Chapter Quiz
1/2 day
3-4
Solving Systems of Linear
Inequalities
1/2 day
p148 8-30
3.12
Use systems of two or more
equations to solve problems.
Solve by graphing. Solve by
elimination or substitution.
3 -5
Exploring Data: Linear
Programming
1 day
p154 6-20
3.13
Use linear programming
(three or more variables) to
solve problem.
3 -6
Solving Systems of Linear
Equations in Three Variables
3.12
Use systems of two or more
equations to solve problems.
By any method.
1 day
(do after 4.5)
Review for Test
1 day
Unit Test(Cumulative Test Ch 1-3)
1 day
7 days
p161 2-30
Study Guide
Chapter 4 Matrices and
Determinants
4-1
Exploring Data: Matrix
Operations
4.04
Operate with matrices to solve
problems. Add and Subtract
matrices.
4-2
Matrix Multiplication
4.04
Operate with matrices to solve
problems. Multiply matrices
4-3
Determinants
4.04
Operate with matrices to solve
problems. Find the inverse and
determinant of a matrices.
4-4
Identity and Inverse
Matrices
4.04
Operate with matrices to solve
problems. Find the inverse and
determinant of a matrices.
Number of Days
to be spent on
each Section
Homework
1/2 day
p 177 # 8 - 36
1/2 day
p 183 # 6 - 32
1 day
p 191 # 6 - 40
1 day
p 200 # 8 - 42
Mid Chapter Quiz
1/2 day
4-5
Solving Systems Using
Inverse Matrices
1 day
p 207 # 6 - 28
4.04
Operate with matrices to solve
problems. Find the inverse and
determinant of a matrices.
3.13
Use linear programming
(systems of three or more
inequalities) to solve
problems.
4-6
Solving Systems Using
Augmented Matrices
Same Objectives As 4.5
½ day
p 213 # 6 - 18
4–7
Solving Systems using
Cramer’s Rule
Same Objectives As 4.5
½ day
p 219 # 6–12, 18-30
Unit Test
1 day
6 1/2 days
Chapter 5 Quadratic
Equations and Parabolas
1 day
5-1
Solving Quadratic Equations by
finding Square Roots
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by using properties of
equality, justify steps needed..
5-2
Parabolas: Graphs of Quadratic
Equations
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by graphing.
3.06
Find and interpret the maximun
and minimum
values and the intercepts of a
quadratic function.
5-3
Completing the Square
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by completing the
square.
5-4
The Quadratic Formula
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by quadratic formula.
Mid Chapter Quiz
Number of Days
to be spent on
each Section
1/2 day
1 day
2 day
1/2 day
5-5
Complex Numbers
1.01
Operate with numbers to solve
problems. Define complex
numbers and perform basic
operations with them.
5-6
Solving any Quadratic
Equation
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by using properties of
equality, justify steps needed..
5-7
Graphs of Quadratic Inequalities
3.05
Use quadratic equations and
inequalities to solve problems.
Solve by graphing, quadratic
formula, completeing the
square or factoring.
Unit Test
Number of Days
to be spent on
each Section
1/2 day
1/2 day
1 day
1 day
8 days
Chapter 6 Functions
1 day
6-1
Relations and Functions
3.03
Graph relations and functions
find the zeros of functions
3.02
Translate among graphic,
algebraic, and verbal
representations of relations.
6-2
Function Operations
3.04
Find the composition and
inverse of function.
6-3
Inverse Functions
3.04
Find the composition and
inverse of function.
Chapter Quiz
Number of Days
to be spent on
each Section
1 day
and
1 day
1/2 day
3 1/2 days
EXPLORING DATA UNIT
2-7
Exploring Data: Fitting a
Line to Data
4.01
Write and interpret an
equation of a curve( linear)
which models a set of data.
4.02
Find the equation of the curve of
the best-fit ( linear ) for a set of data.
Interpret the
constants,
coefficients, and
bases in the context
of the
data. Check the equation for
goodness-of-fit and use the
equation for predictions..
Project
Number of Days
to be spent on
each Section
2 days in class
3 days out of class
Chapter 7 Powers, Roots,
and Radicals
1/2 day
7-1
Properties of Exponents
1.01
Operate with numbers to solve
problems. Simplify
expressions involving rational
1/2 day
exponents.
7-2
Exploring Data: Compound
Interest and Exponential
Growth
4.03
Use exponential equations of
x
the form f(x) = (1 + r) where
r is given as a rate of growth
or decay to solve problems.
7-3
nth Roots and Rational
Exponents
1.01
Operate with numbers to solve
problems. Simplfy and
perform operations with
radical expressions.
Quiz
7-4
Properties of Roots of Real
Numbers
1.01
Operate with numbers to solve
problems. Simplify
expressions involving rational
exponents. Simplfy and
perform operations with
radical expressions.
Number of Days
to be spent on
each Section
1 day
1/2 day
1/2 day
7-5
Solving Radical Equations
3.11
Use equations which contain
radical expressions to solve
problems. Solve by graphing,
factoring and using properties
of equality.
7-6
Graphing Square Root and
Cube Root Function
3.11
Use equations which contain
radical expressions to solve
problems. Solve by graphing,
factoring and using properties
of equality.
Unit Test
Number of Days
to be spent on
each Section
1 day
1 day
1/2 day
5 1/2 days
Chapter 8 Expoential and
Logarithmic Functions
8-1
1 day
Exponential Functions
1 day
3.15
Write and graph exponential
functions of the form
f(x) = ab
x
8-2
Logarthmic Functions
3.16
Recognize as inverse the
exponential and logarithmic
functions.
8-3
Properties of Logarithms
1.01
Operate with numbers to solve
problems. Use logarithms and
exponents to solve problems.
3.17
Natural Logarithms
Same as 8.3 - 1.01
8-6
1 day
The Natural Base e
Same as 8.1
8-5
1/2 day
Use logarithmic and
exponential equations to solve
problems. Solve by graphing,
substitution, applying the
1 day
inverse relationship,
and using properties of
equality.
Mid Chapter Quiz
8-4
1/2 day
Solving Exponential and
Logarithmic Equations
Same as 8.3 - 3.17
Unit Test
Number of Days
to be spent on
each Section
1 day
1 day
7 days
Chapter 9 Polynomials and
Polynomial Functions
9-1
Operations With Polynomials
9-2
Graphs of Polynomial
Functions
3.07
Use polynomial equations to
solve problems by graphing
9-3
1 1/2 days
2 days
Factoring Polynomial and
Solving Polynomial
Equations
1.02
Operate with algebra expression to
solve problem. - Factor polynomials and other
algebraic expression
completely over the real
numbers
1/2 day
9-4
1/2 day
Polynomial Division, Factors
and Remainders
1.02
Operate with algebraic expressions
to solve problems.
Divide one
polynomial by another of a lower degree
using synthetic division or the
division algorithm.
1/2 day
Mid Chapter Quiz
9-5
Finding Rational Zeros
3.08
Find zeros, intercepts, and
approximate the turning points of
polynomial functions;
descibe them in the
context of text problem
9-6
Connections: Zeros, Factors
and Solutions
Unit Test
Number of Days
to be spent on
each Section
1 day
1 day
1/2 day
7 1/2 days
Chapter 10 Rational
Functions
1/2 day
10 - 1
Graphs of Rational
Functions
3.10
Use rational equations to
solve problems. Solve by
graphing identify the
asymptotes and intercepts.
10 - 2
Inverse and Joint Variations
1.02
Operate with algebraic
expressions to solve problems.
Solve problems using direct,
inverse. combined and joint
variation.
10 - 3
Multiplying and Dividing
Rational Expressions
1.02
Operate with algebraic
expressions to solve problems.
Find the sums, differences,
products and quotients of
rational algebraic expressions.
Quiz
Number of Days
to be spent on
each Section
1/2 day
1 day
1 day
10 - 4
Solving Rational Equations
3.10
Use rational equations to
solve problems. Solve by
graphing identify the
asymptotes and intercepts.
Factoring. Finding the zeros
and asymptotes through
analysis of the polynomials in
the numerator and
denominator.
10 - 5
Addition, Subtraction and
Complex Fractions
1.02
Operate with algebraic
expressions to solve problems.
Simplify complex fractions.
Unit Test
Number of Days
to be spent on
each Section
1 day
2 days
1 day
7 days
Chapter 11 Quadratic
Relations
11 - 1
Parabolas
2.01
Write the equations in
standard form of circles.
Graphs.
11 - 2
Circles and Points of Intersection
2.01
Write the equations in
standard form of parabolas.
Graphs.
11 - 3
Ellipses
2.02
Graph ellipses given the
equations.
11 - 4
Hyerbolas
2.02
Graph hyperbolas given the
equations.
1 day
1/2 day
1/2 day
Quiz
Extra Topic
Set Notation
Number of Days
to be spent on
each Section
1 day
1 day
4 days
2 days