Decision One:
Curriculum Map
Topic: Unit 1: Equations and Expressions
Key Learning(s):
Unit Essential Question(s):
The key learning is to be able to
simplify expressions, solve multi-step
linear equations, linear inequalities,
and absolute value equations and
inequalities.
How do we solve linear equations, linear
inequalities, and absolute value
equations?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 1.1, 1.2, 1.3, 1.4, 1.5
Approximately 8 days
Concept:
Concept:
Concept:
Concept:
Properties of Real Numbers
and Simplifying Algebraic
Expressions
Solving Linear Equations
Solving Linear Inequalities
Solving Absolute Value Equations
and Inequalities
Lesson Essential Questions:
How do we use the properties of
real numbers to simplify
algebraic expressions?
Lesson Essential Questions:
What is the solution to a linear
equation?
How do we find the solution to a
linear equation?
Lesson Essential Questions:
What are the solutions to a linear
inequality?
How do we find the solutions to a
linear inequality?
Lesson Essential Questions:
What are the solutions to an absolute
value equation or inequality?
How do we find the solutions to an
absolute value equation or inequality?
Vocabulary:
Opposite
Reciprocal
Absolute Value
Evaluate
Vocabulary:
Vocabulary:
Compound Inequalities
Vocabulary:
Extraneous Solution
Decision One:
Curriculum Map
Topic: Unit 2: Linear and Absolute Value Functions
Key Learning(s):
Unit Essential Question(s):
The graph of an equation represents
all ordered pairs that satisfy the
equation.
How do we graph and write linear
equations and inequalities?
How do we graph absolute value
equations or inequalities?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 2.2, 2.4, 2.5, 2.6, 2.7
Approximately 10-12 days
Concept:
Concept:
Concept:
Concept:
Graphing Linear Equations
Writing Linear Equations
Graphing Absolute Value
Equations
Graphing Linear and Absolute Value
Inequalities
Lesson Essential Questions:
How do we represent linear
equations graphically?
Lesson Essential Questions:
How do we write the equation of
a line given points and/or slope?
Lesson Essential Questions:
How do we graph an absolute
value equation?
Lesson Essential Questions:
How do we graph linear and absolute
value inequalities?
How do we find x and y
intercepts?
How do we write an equation of
a line given a set of data points?
Vocabulary:
Dependent Variable
Independent Variable
x-intercept
y-intercept
Slope
Zero Slope
Undefined Slope
Vocabulary:
Standard Form
Point-Slope Form
Slope-Intercept Form
Scatter Plot
Line of Best Fit
Correlation
Vocabulary:
Vocabulary:
Vertex
Parent Function
Translation
Reflection
Boundary Line
Test Point
Solution Region
Decision One:
Curriculum Map
Topic: Unit 3: Systems of Linear Equation
Key Learning(s):
Unit Essential Question(s):
Systems of equations can be used to
solve problems with more than one
variable.
How do we solve a system of linear
equations?
How do we write a system of linear
equations to solve real world problems?
How do we solve a system of linear
inequalities?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 3.1, 3.2, 3.3, 3.6
Approximately 10 days
Concept:
Concept:
Concept:
Concept:
Solving Linear Systems of
Equation by Graphing,
Substitution, and Elimination
Applications of Linear
Systems of Equations
Graphing Systems of Linear
Inequalities
Systems of Equations with Three
Variables
Lesson Essential Questions:
How do we solve linear systems
of equations using graphing,
substitution, and elimination?
Lesson Essential Questions:
How do we apply linear system
of equations to solve real world
problems?
Lesson Essential Questions:
How do we represent solutions of
systems of linear inequalities with
a graph?
Lesson Essential Questions:
How do we solve systems of equations
that contain three variables?
Vocabulary:
Linear System
Independent System
Dependent System
Inconsistent System
Vocabulary:
Vocabulary:
Solution Region
Boundary Line
Vocabulary:
Ordered Triple
Coordinate Space
Z-axis
Decision One:
Curriculum Map
Topic: Unit 4: Quadratic Expressions and Equations
Key Learning(s):
Unit Essential Question(s):
A quadratic equation can be solved by
factoring, by using the quadratic
formula, and by using square roots.
How do we solve quadratic equations?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 5.4, 5.5, 5.6, 5.8
Approximately 15-18 days
Concept:
Concept:
Concept:
Concept:
Factoring Quadratic
Expressions
Solving Quadratic Equations
Complex Numbers
Quadratic Formula
Lesson Essential Questions:
How do we factor quadratic
expression using GCF?
How do we factor a difference of
two squares?
How do we factor trinomials?
How can factoring methods be
combined to completely factor
quadratic expressions?
Lesson Essential Questions:
How do we solve quadratic
equation by factoring or by using
square roots without a
calculator?
What does the solution to a
quadratic equation represent?
Lesson Essential Questions:
What is an imaginary number?
What is a complex number?
How do we perform mathematical
operations on complex numbers?
How do we solve equations that
have complex solutions?
Lesson Essential Questions:
How do we solve equations using the
Quadratic Formula without a
calculator?
How do we approximate solutions with
the Quadratic Formula using a
calculator?
How do we solve equations that have
complex solutions using the Quadratic
Formula?
Vocabulary:
Vocabulary:
Factors
GCF
Perfect Squares
Difference of Two Squares
Prime Polynomials
Coefficient
Vocabulary:
Standard Form or a Quadratic
Linear Coefficient
Zeros
Roots
Solutions
Vocabulary:
Imaginary Number
Complex Number
Imaginary Solutions
Quadratic Coefficient
Linear Coefficient
Constant Coefficient
Discriminant
Decision One:
Curriculum Map
Topic: Unit 5: Graphing Quadratic Equations
Key Learning(s):
Unit Essential Question(s):
The graph of a quadratic equation is a
parabola with a vertex, an axis of
symmetry, and a y-intercept.
X-intercepts of a quadratic graph are
solutions of the equation.
How do we investigate and graph
quadratic equations?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 5.1, 5.2, 5.3
Approximately 15-18 days
Concept:
Concept:
Concept:
Concept:
Introduction to quadratic
graphs
Properties of Parabolas
Transforming Parabola Graphs
Applications of Quadratic Equations
Lesson Essential Questions:
How do we determine the
maximum or minimum of a
parabola?
How do we construct the graph
of a parabola using the vertex,
intercepts, and symmetry?
Lesson Essential Questions:
How do we construct the graph of
a parabola using the vertex form of
the quadratic equation?
Lesson Essential Questions:
How do apply concepts of parabola
graphs to real world problems?
How do we use a graphing calculator to
find the vertex and x-intercepts of a
quadratic equation?
Lesson Essential Questions:
How do we graph quadratic
equations using x-y tables?
How do we identify direction of
opening, vertex, and axis of
symmetry of a parabola?
Vocabulary:
Parabola
Quadratic Coefficient
Axis of Symmetry
Vertex
Vocabulary:
Vertex Formula
Maximum Value
Minimum Value
X-intercept
Vocabulary:
Vertex Form
Translation
Refection
Vocabulary:
Decision One:
Curriculum Map
Topic: Unit 6: Functions
Key Learning(s):
Grade: CP Alg II
Unit Essential Question(s):
A function is a relationship between
variables with specialized notation and
operations.
Domain and Range of functions must
be identified.
What is a function?
How do we use function notation?
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 2.1, 6.1, 6.2, 7.6, 7.7
Approximately 15-18 days
Concept:
Concept:
Concept:
Concept:
Definition of Functions
Graphing Families of
Functions
Polynomial Functions
Function Operations
Lesson Essential Questions:
What is the difference between a
function and a relation?
What are the domain and range
of a function?
How do we evaluate functions?
Lesson Essential Questions:
How do we graph linear,
absolute value, and quadratic
functions?
How do we use function values
to construct graphs?
Lesson Essential Questions:
How do we classify polynomial
functions?
What does the degree of a
polynomial function tell us about
the graph?
Lesson Essential Questions:
How do we perform mathematical
operations on a function?
How do we compose two functions?
How do we find the inverse of a
function?
Vocabulary:
Relation
Function
Domain
Range
Vertical Line Test
Function Notation
Function Mapping
Evaluate
Vocabulary:
Function Graphs
Function Values
Vocabulary:
Degree
Term
Standard Form of a Polynomial
Cubic Coefficient
Quartic Coefficient
Polynomial Factors
Zeros of a Polynomial
Vocabulary:
Restricted Domain
Composition of Functions
Inverse Functions
Inverse Relations
Decision One:
Curriculum Map
Topic: Unit 7: Rational Exponents and Radicals
Key Learning(s):
Unit Essential Question(s):
Expressions with rational exponents
can be written as radical expressions.
Equations with radicals can be
graphed as functions.
How do we solve and graph radical
equations?
How do we simplify and evaluate radical
expressions?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 7.1, 7.2, 7.3, 7.4, 7.5,
7.8
Approximately 22-25 days
Concept:
Concept:
Concept:
Concept:
Exponent Rules
Roots and Radical
Expressions
Multiplying and Dividing Radical
Expressions
Rational Exponents
Lesson Essential Questions:
What are the rules for simplifying
expressions containing rational
exponents, including negative
exponents?
Lesson Essential Questions:
What is the nth root of a
number?
How do we simplify radical
expressions?
Lesson Essential Questions:
How do we multiply monomials
and binomial containing radicals?
How do we rationalize the
denominator of a rational
expression?
Lesson Essential Questions:
What is the meaning of a rational
exponent?
How do we simplify expressions
containing rational exponents?
How do we write rational exponents as
radicals?
How do we write radicals using rational
exponents?
Vocabulary:
Vocabulary:
Vocabulary:
Bases
Exponent
Zero Exponent
Radical
Radicand
Index
Root
Principle Root
Vocabulary:
Rationalize
Conjugate
Radical Form
Rational Exponent Form
Concept:
Concept:
Solving Radical Equations
Graphing Square Root and
Cube Root Functions
Lesson Essential Questions:
How do we solve equations
containing radicals?
Lesson Essential Questions:
How do we graph a square root
function?
How do we graph a cube root
function?
What are the domain and range
of radical functions?
Vocabulary:
Extraneous Solution
“Isolate the Radical”
Vocabulary:
Concept:
Concept:
Lesson Essential Questions:
Lesson Essential Questions:
Vocabulary:
Vocabulary:
Decision One:
Curriculum Map
Topic: Unit 8: Exponential and Logarithmic Functions
Key Learning(s):
Unit Essential Question(s):
Exponential functions can be used to
model growth and decay. Logarithms
can be used to solve exponential
equations.
What is an exponential function?
What are the properties of logarithms?
How can logarithms be used to solve
exponential equations?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 8.1, 8.2, 8.3, 8.4, 8.5,
8.6
Approximately 20-25 days
Concept:
Concept:
Concept:
Concept:
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential Equations
Lesson Essential Questions:
How does an exponential
function model growth or decay?
How do we graph exponential
functions?
How do we solve problems using
growth or decay factors?
Lesson Essential Questions:
How do we write an exponential
equation in logarithmic form
using the definition of a log?
How do we write a logarithmic
equation in exponential form
using the definition of a log?
How do you evaluate a logarithm
without a calculator?
Vocabulary:
Lesson Essential Questions:
How do we use the properties of
logarithms to expand or condense
expressions?
Lesson Essential Questions:
How do we solve equations with
exponential expressions?
How do we check solutions of
exponential equations?
Logarithm
Definition of a Logarithm
Base
Common Logarithm
Expand
Condense
Product Property
Quotient Property
Power Property
Vocabulary:
Exponential Function
Base
Growth Factor
Decay Factor
Depreciation
Appreciation
Simple Interest
Compound Interest
Base e
Asymptote
Vocabulary:
Vocabulary:
Exponential Equation
Concept:
Concept:
Logarithmic Equations
Natural Logarithmic and
Exponential Functions
Lesson Essential Questions:
How do we solve equations that
contain logarithms?
How do we check for extraneous
solutions to logarithmic
equations?
Lesson Essential Questions:
How do we evaluate expression
with natural logarithms or base
e?
How do we solve equations with
natural logarithms or base e?
Vocabulary:
Logarithmic Equations
Change of Base Formula
Vocabulary:
Natural Base
Natural Logarithm
Continuously Compounding
Interest
Half Life
Concept:
Concept:
Lesson Essential Questions:
Lesson Essential Questions:
Vocabulary:
Vocabulary:
Decision One:
Curriculum Map
Topic: Unit 9: Algebraic Fractions
Key Learning(s):
Unit Essential Question(s):
Properties of fractions can be extended
to algebraic expressions or equations.
How do we simplify rational algebraic
expressions?
How do we solve rational algebraic
equations?
Grade: CP Alg II
Optional
Instructional Tools:
Prentice Hall Algebra II
Sections: 2.3, 9.1, 9.2, 9.4, 9.5,
9.6
Approximately 15-18 days
Concept:
Concept:
Concept:
Concept:
Models of Variation
Reciprocal Function Graphs
Multiplying and Dividing
Rational Expressions
Adding Subtracting Rational
Expressions
Lesson Essential Questions:
How do we solve problems using
direct and inverse variation?
How do we solve problems using
joint and combined variation?
Lesson Essential Questions:
What does the graph of the
function f(x) = a/x look like?
How do we graph reciprocal
equations using an x-y table?
Lesson Essential Questions:
How do we simplify an algebraic
rational expression?
How do we multiply two algebraic
rational expressions?
How do we divide and simplify two
algebraic rational expressions?
Lesson Essential Questions:
How do we add or subtract two
algebraic rational expressions with
common denominators?
How do we add or subtract two
algebraic rational expressions without
common denominators?
What is the least common denominator
for two algebraic rational expressions?
Vocabulary:
Constant of Variation
Direct Variation
Inverse Variation
Joint Variation
Combined Variation
Vocabulary:
Asymptote
Vocabulary:
Rational Expression
Variable Restrictions
Reciprocal
Vocabulary:
Least Common Multiple
Least Common Denominator
Concept:
Concept:
Concept:
Concept:
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
Solving Rational Equations
Lesson Essential Questions:
How do we solve rational
equations by cross multiplying?
How do we solve rational
equations by multiplying by the
least common denominator?
How do we check for extraneous
solutions of rational equations?
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary: