Bullock County Public Schools
College and Career Readiness Standards Pacing Guide
Mathematics
Algebra 2 with Trig
First Nine Weeks
Perform arithmetic operations with complex numbers.
The Complex Number System - CN
9-12 days
9-12 days
2-3 days
Cluster
Standard
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.
Knowledge
(nouns)
Complex
number
Form, a+bi
operations
Skills (verbs)
Know
Perform
Academic
Vocabulary
Complex number
Real number
B.T.L.
1
2. Use the relation i2 = -1 and the
commutative, associative, and
distributive properties to add, subtract,
and multiply complex numbers.
Relation, i2= -1
Commutative
Property
Associative
Distributive
Use
+, -, x
Commutative Prop. 1
Associative Prop.
Distributive Prop.
3. (+) Find the conjugate of a complex
number; use conjugates to find moduli
and quotients of complex numbers.
Conjugate
Moduli
Quotients
Find
Use
Conjugate
Moduli
Quotients
3
7. Solve quadratic equations with real
coefficients that have complex
solutions.
Quadratic
equations
Coefficients
Complex
solutions
Solve
Use
Quadratic equation
Coefficients
Polynomials
Polynomial
identities
3
Use complex
numbers in
polynomial
identities and
equations.
(Polynomials
with real
coefficients.)
Common
Core Strand
9-12 days
Time
Line
Resources
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
Bullock County Public Schools
College and Career Readiness Standards Pacing Guide
Mathematics
Algebra 2 with Trig
First Nine Weeks
Time
Line
Common
Core Strand
Cluster
Standard
Knowledge
(nouns)
Skills (verbs)
Academic
Vocabulary
B.T.L.
Resources
www.alex.state.al.us/ccrs
8. (+) Extend polynomial identities to
the complex numbers.
Polynomial
identities
Extend
Rewrite
Use
Polynomials
4
9. (+) Know the Fundamental Theorem
of Algebra; show that it is true for
quadratic polynomials.
Fundamental
Theorem of
Algebra
Know
Show
Fundamental
Theorem of
Algebra
Quadratic
polynomials
3
6. (+) Use matrices to represent and
manipulate data, e.g., to represent
payoffs or incidence relationships in a
network. (Use technology to
approximate roots.)
Matrices
Data
Use
Represent
Manipulate
Perform
Matrix
Roots
3
7. (+) Multiply matrices by scalars to
produce new matrices, e.g., as when all
of the payoffs in a game are doubled.
Scalars
Matrices
Produce
Multiply
Matrices
Scalar
3
Perform operations on
matrices and use matrices in
applications.
Vector and Matrix
Quantities- VM
15-17
days
15-17 days
3-5 days
3-5 days
Example: Rewrite x2 + 4 as (x + 2i)(x 2i).
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Bullock County Public Schools
College and Career Readiness Standards Pacing Guide
Mathematics
Algebra 2 with Trig
First Nine Weeks
15-17 days
15-17 days
Time
Line
Common
Core Strand
Cluster
Standard
Knowledge
(nouns)
Skills (verbs)
Academic
Vocabulary
B.T.L.
8. (+) Add, subtract, and multiply
matrices of appropriate dimensions.
Dimensions
+, -, x
Matrices
Scalar
3
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.
Square matrix
Understand
Satisfy
Dimensions
Square matrix
2
10. (+) Understand that the zero and
identity matrices play a role in matrix
addition and multiplication similar to
the role of 0 and 1 in the real numbers.
The determinant of a square matrix is
nonzero if and only if the matrix has a
multiplicative inverse.
Zero matrices
Identity
matrices
Real numbers
Determinant
Square matrix
Multiplicative
inverse
Understand
Zero matrices
Identity matrices
Real numbers
Determinant
Square matrix
Multiplicative
inverse
3
Resources
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
ACT QualityCore
Alabama Insight Tool
Glencoe text/online
Graphing calculators
Global Scholar
SMART Technologies
www.alex.state.al.us/ccrs
Bullock County Public Schools
College and Career Readiness Standards Pacing Guide
Mathematics
Algebra 2 with Trig
First Nine Weeks
Time
Line
Common
Core Strand
Cluster
Standard
Knowledge
(nouns)
Skills (verbs)
Academic
Vocabulary
B.T.L.
Resources