14-15 Curriculum Map - Fulton Independent Schools

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Curriculum Map
Common Core Standards
Fulton Independent School District
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UNIT 1
Inequalities
and
Equations
UNIT 2
Systems
Algebra 2
11
7-28-14
Jennifer Dillon
Content
ACT Quality Core
Standard(s)
Solving Absolute Value Equations
Pre-D.1.a
Solving Inequalities
Pre-D.1.a
Solving Compound and Absolute
Inequalities
D.1.a, D.1.b
Writing Linear Equations
Pre-D.2.ab
Graphing Linear and Absolute Value
Inequalities
Pre-D.2.b
Solving Systems of Equations by
Graphing
Pre-D.2.a
Solving Systems of Equations
Algebraically
Pre-D.2.a
Solving Systems of Inequalities by
Graphing
D.2.a
Optimization with Linear Programming
D.2.b
Systems of Equations in Three
Variables
D.1.c
Learning Target
I can evaluate expressions
involving absolute values
I can solve absolute value
equations
I can solve one-step and multistep inequalities
I can solve compound
inequalities
I can solve absolute value
inequalities
I can write an equation of a
line given the slope and a
point on the line
I can write an equation of a
line parallel or perpendicular
to a given line
I can graph linear inequalities
I can graph absolute value
inequalities
I can solve systems of linear
equations by using tables and
graphs
I can classify systems of linear
equations
I can solve systems of linear
equations using substitution
and elimination
I can solve systems of
inequalities by graphing
I can determine the
coordinates of the vertices of a
region formed by the graph of
a system of inequalities
I can find the maximum and
minimum values of a function
over a region
I can solve real-world
optimization problems using
linear programming
I can solve systems of linear
equations in three variables
I can solve real-world
problems using systems of
linear equations in three
variables
Correspondence
with Textbook or
Supplemental
Material
Chapter 1 Section 4
Chapter 1 Section 5
Chapter 1 Section 6
Chapter 2 Section 4
Chapter 2 Section 8
Chapter 3 Section 1
Chapter 3 Section 2
Chapter 3 Section 3
Chapter 3 Section 4
Chapter 3 Section 5
UNIT 3
Matrices and
More
UNIT 4
Quadratic
Equations,
Inequalities,
and
Functions
Introduction to Matrices
Pre-I.1.abcdef
I can organize data in matrices
I can use matrix row and
column operations to analyze
data
I can add and subtract matrices
I can multiply a matrix by a
scalar
I can multiply matrices
I can use the properties of
matrix multiplication
I can evaluate determinants
I can find the inverse of a 2x2
matrix
I can write and solve matrix
equations for a system of
equations
I can perform operations with
pure imaginary numbers
I can perform operations with
complex numbers
I can simplify radicals
Operations with Matrices
I.1.a, I.1.b, I.1.f
Multiplying Matrices
I.1.a, I.1.b, I.1.f
Determinants and Cramer’s Rule
Inverse Matrices and Systems of
Equations
I.1.c, I.1.f
I.1.d, I.1.e, I.1.f
Complex Numbers
C.1.a, C.1.b, C.1.c
Simplifying Radicals
Pre-E.1.abcd
Graphing Quadratic Functions
E.2.a
I can graph quadratic
functions
I can find and interpret the
maximum and minimum
values of a quadratic function
Solving Quadratic Functions by
Graphing
E.1.a
Solving Quadratic Equations by
Factoring
E.1.a
Completing the Square
E.1.a, E.1.c
The Quadratic Formula and the
Discriminant
E.1.a, E.1.b, E.1.c
Transformations with Quadratic
Functions
E.2.b
Quadratic Inequalities
Pre-E.1.d
I can solve quadratic equations
by graphing
I can estimate solutions of
quadratic equations by
graphing
I can write quadratic equations
in intercept form
I can solve quadratic equations
by factoring
I can solve quadratic equations
by using the Square Root
Property
I can solve quadratic equations
by completing the square
I can solve quadratic equations
by using the Quadratic
Formula
I can use the discriminant to
determine the number and
type of roots of a quadratic
equation
I can write a quadratic
function in the form y=a(xh)2+k
I can transform graphs of
quadratic functions of the
form y=a(x-h)2+k
I can graph quadratic
inequalities in two variables
I can solve quadratic
inequalities in one variable
Chapter 4 Section 1
Chapter 4 Section 2
Chapter 4 Section 3
Chapter 4 Section 4
Chapter 4 Section 5
Chapter 4 Section 6
Supplemental
Material from Kuta
Software
Chapter 5 Section 1
Chapter 5 Section 2
Chapter 5 Section 3
Chapter 5 Section 5
Chapter 5 Section 6
Chapter 5 Section 7
Chapter 5 Section 8
UNIT 5
Polynomials
UNIT 6
Functions
UNIT 7
Radicals and
Radical
Functions
(Solving Quadratic Systems)
E.1.d
Operations with Polynomials
F.1.a
Dividing Polynomials
F.1.a, F.1.b
Polynomial Functions
F.2.a, F.2.c
Analyzing Graphs of Polynomial
Functions
F.2.a, F.2.c, F.2.d
Solving Polynomial Equations
F.1.b
The Remainder and Factor Theorems
F.1.b
Roots and Zeros
F.2.a
Rational Zero Theorem
F.2.b
Operations on Functions
C.1.d
Inverse Functions and Relations
C.1.d
Square Root Functions and Inequalities
G.1.f
Nth Roots
G.1.b, G.1.c, G.1.f
Operations with Radical Expressions
G.1.c, G.1.d, G.1.e,
G.1.f
I can solve systems of
quadratic equations
I can multiply, divide, and
simplify monomials and
expressions involving powers
I can add, subtract, and
multiply polynomials
I can divide polynomials using
long division
I can divide polynomials using
synthetic division
I can evaluate polynomial
functions
I can identify general shapes
of graphs of polynomial
functions
I can graph polynomial
functions and locate their
zeros
I can find the relative maxima
and minima of polynomial
functions
I can factor polynomials
I can solve polynomial
equations by factoring
I can evaluate functions by
using synthetic substitution
I can determine whether a
binomial is a factor of a
polynomial by using synthetic
substitution
I can determine the number
and type of roots for a
polynomial equation
I can find the zeros of a
polynomial function
I can identify possible rational
zeros of a polynomial function
I can find all of the rational
zeros of a polynomial function
I can find the sum, difference,
product, and quotient of
functions
I can find the composition of
functions
I can find the inverse of a
function or relation
I can determine whether two
functions or relations are
inverses
I can graph and analyze square
root functions
I can graph square root
inequalities
I can simplify radicals
I can use a calculator to
approximate radicals
I can simplify radical
expressions
I can add, subtract, multiply,
and divide radical expressions
Chapter 10 Section 7
Chapter 6 Section 1
Chapter 6 Section 2
Chapter 6 Section 3
Chapter 6 Section 4
Chapter 6 Section 5
Chapter 6 Section 6
Chapter 6 Section 7
Chapter 6 Section 8
Chapter 7 Section 1
Chapter 7 Section 2
Chapter 7 Section 3
Chapter 7 Section 4
Chapter 7 Section 5
UNIT 8
Exponential
Functions
and
Logarithms
UNIT 9
Rational
Expressions
UNIT 10
Sequences
and Series
UNIT 11
Probability
and Statistics
Rational Exponents
G.1.c
Solving Radical Equations and
Inequalities
G.1.f, G.1.g
Graphing Exponential Functions
G.2.a
Solving Exponential Equations and
Inequalities
(G.2.a)
Logarithms and Logarithmic Functions
G.2.a, G.2.b
Solving Logarithmic Equations and
Inequalities
(G.2.a)
Properties of Logarithms
(G.2.a)
Multiplying and Dividing Rational
Expressions
Pre-G.1.a
Adding and Subtracting Rational
Expressions
Pre-G.1.a
Solving Rational Equations and
Inequalities
G.1.a
Sequences as Functions
Arithmetic Sequences and Series
H.2.a, H.2.b, H.2.c,
H.2.d, H.2.e
Geometric Sequences and Series
H.2.a, H.2.b, H.2.c,
H.2.d
The Fundamental Counting Principle
H.1.a
I can write expressions with
rational exponents in radical
form and vice versa
I can simplify expressions in
exponential or radical form
I can solve equations
containing radicals
I can solve inequalities
containing radicals
I can graph exponential
growth functions
I can graph exponential decay
functions
Chapter 7 Section 6
I can solve exponential
equations
I can solve exponential
inequalities
I can evaluate logarithmic
expressions
I can graph logarithmic
functions
I can solve logarithmic
equations
I can solve logarithmic
inequalities
I can simplify and evaluate
expressions using the
properties of logarithms
I can solve logarithmic
equations using the properties
of logarithms
I can simplify rational
expressions
I can simplify complex
fractions
I can determine the LCM of
polynomials
I can add and subtract rational
functions
I can solve rational equations
I can solve rational
inequalities
I can relate arithmetic
sequences to linear functions
I can relate geometric
sequences to exponential
functions
I can use arithmetic sequences
I can find sums of arithmetic
series
I can use geometric sequences
I can find sums of geometric
series
I can use the Fundamental
Counting Principle to find
outcomes involving
independent and dependent
events
Chapter 8 Section 2
Chapter 7 Section 7
Chapter 8 Section 1
Chapter 8 Section 3
Chapter 8 Section 4
Chapter 8 Section 5
Chapter 9 Section 1
Chapter 9 Section 2
Chapter 9 Section 6
Chapter 11 Section 1
Chapter 11 Section 2
Chapter 11 Section 3
Chapter 0 Section 4
UNIT 12
Conic
Sections
**UNIT 13
Advanced
Trig
Combinations and Permutations
H.1.b
Mutually Exclusive and Nonmutually
Exclusive Events
H.1.c
Independent and Dependent Events
H.1.d
Unions, Intersections, and
Compliments to Find Probability
H.1.e
Conditional Probability
H.1.f
Midpoint and Distance Formulas
Pre-E.3.abcd
Parabolas
E.3.a, E.3.b, E.3.c,
E.3.d
Circles
Ellipses
E.3.a, E.3.b, E.3.c,
E.3.d
E.3.a
Hyperbolas
E.3.a
Identifying Conic Sections
E.3.a, E.3.b, E.3.c,
E.3.d
**Solving Quadratic Systems
E.1.d
Trigonometric Functions in Right
Triangles
Pre-G.3.a
Angles and Angle Measure
G.3.b, G.3.c
I can solve problems involving
permutations and
combinations
I can find the probability of
mutually exclusive events
I can find the probability of
nonmutually exclusive events
I can find the probability of
independent and dependent
events
I can use unions, intersections,
and compliments to find
probability
I can find probabilities of
events given the occurrence of
other events
I can use contingency tables to
find conditional probabilities
I can find the midpoint of a
segment on the coordinate
plane
I can find the distance between
two points on the coordinate
plane
I can write equations of
parabolas in standard form
I can graph parabolas
I can write equations of circles
I can graph circles
I can write equations of
ellipses
I can graph ellipses
I can write equations of
hyperbolas
I can graph hyperbolas
I can write equations of conic
sections in standard form
I can identify conic sections
from their equations
I can solve systems of linear
and nonlinear equations
algebraically and graphically
I can solve systems of linear
and nonlinear inequalities
graphically
I can find values of
trigonometric functions
I can use trigonometric
functions to find side lengths
and angle measures of right
triangles
I can draw and find angles in
standard position
I can convert between degree
measures and radian measures
Chapter 0 Section 5
Supplemental
Material used from
Glencoe Algebra 1 –
Chapter 12 Section 5
Supplemental
Material used from
Glencoe Algebra 1 –
Chapter 12 Section 5
Supplemental
Material Needs to be
Found
Chapter 12 Section 3
Chapter 10 Section 1
Chapter 10 Section 2
Chapter 10 Section 3
Chapter 10 Section 4
Chapter 10 Section 5
Chapter 10 Section 6
Chapter 10 Section 7
Chapter 13 Section 1
Chapter 13 Section 2
Trigonometric Functions of General
Angles
G.3.b
Law of Sines
G.3.a
Law of Cosines
G.3.a
Circular Functions
Pre-G.3.b
Graphing Trigonometric Functions
G.3.d, G.3.e, G.3.f,
G.3.g
I can find values of
trigonometric functions for
general angles
I can find values of
trigonometric functions by
using reference angles
I can find the area of a
triangle using two sides and an
included angle
I can use the Law of Sines to
solve triangles
I can use the Law of Cosines
to solve triangles
I can choose methods to solve
triangles
I can find values of
trigonometric functions based
on the unit circle
I can use the properties of
periodic functions to evaluate
trigonometric functions
I can describe and graph the
sine, cosine, and tangent
functions
I can describe and graph other
trigonometric functions
Chapter 13 Section 3
Chapter 13 Section 4
Chapter 13 Section 5
Chapter 13 Section 6
Chapter 13 Section 7
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