North Carolina High School Mathematics Alignment to Traditional Text
MATH II
Standard
N.RN.2
Math II Concept(s)
Traditional Alignment
Alg II textbook
N-Q.3
Convert radicals to exponential form using
properties of exponents
 Use units to understand problems
and guide solutions
 Choose units appropriately
 Interpret units in the context of a
problem
 Choose and interpret the scale and
origin in graphs and data displays
Define appropriate quantities for
descriptive modeling
Choose a level of accuracy within context
A.SSE.1a
Interpret parts of an expression
Alg II textbook
 At this level include polynomial expressions
N.Q.1
N-Q.2
A.SSE.1b
A.SSE.2
A.SSE.3c
A.APR.1
09/10/13
Interpret the meaning of grouped together
parts of an expression as a single entity
Rewriting expressions by combining like
terms, expanding and factoring
Use properties of exponents to transform
expressions
Add, subtract and multiply polynomials
Geo textbook
 Finding the perimeter, area and volume of
geometric figures
*Supplement
*Supplement
*Supplement
*Supplement complicated expressions
Alg II textbook
 At this level include polynomial expressions
*Supplement
Alg II textbook
*Supplement
Alg I and Alg II textbooks
North Carolina High School Mathematics Alignment to Traditional Text
MATH II

A.APR.3


Identify zeros from factored form
Use zeros to sketch graphs
Add and subtract any polynomial, limit
multiplication to as many as three linear
expressions
Alg II textbook
 Limit to quadratic functions
A.CED.1
Create and solve equations and inequalities
in one-variable
Alg I and Alg II textbooks
 Extend to quadratic and inverse variation
functions, and use common logs to solve
exponential equations
A.CED.2
Create and graph equations with two or
more variables
Geo textbook
 At this level extend to simple trigonometric
equations that involve right triangle
trigonometry
*Supplement creating quadratics with other resources
A.CED.3


A.CED.4
09/10/13
Represent constraints by
equations/inequalities and by
systems of equations/inequalities
Interpret solutions
Rearrange formulas
Alg II textbook
 Extend to linear-quadratic, linearinverse(simple rational) systems of equations
*Supplement all other functions beyond linear
Alg I and Alg II textbooks
 Extend to compound variation relationships
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
A-REI.1
A-REI.2
A-REI.4b
A-REI.7
A-REI.10
A-REI.11
Construct an argument for solving simple
equations.

Alg I and Alg II textbooks
 At this level, limit to factorable quadratics
Solve simple rational equations in
one-variable
 Solve simple radical equations in
one-variable
 Give examples of extraneous
solutions
Solve quadratic equations in one-variable
Alg I and Alg II textbooks
 Limit to inverse variation
Solve a system consisting of a linear and
quadratic equation.
Graph of an equation is the set of all of its
solutions plotted in the coordinate plane
*Supplement
Solving systems using function notation
Alg I and Alg II textbooks
Alg I and Alg II textbooks
Alg I and Alg II textbooks
 At this level, extend to quadratics
*Supplement the various functions
F-IF.2
Use, evaluate and interpret functions in
function notation
Alg I and Alg II textbooks
 Extend to quadratic, simple power, and inverse
variation functions
F-IF.4
Interpret key features and sketch graphs
showing features
Alg 1 and Alg II textbooks
 Limit to simple trigonometric functions with
angle measures of 180 degrees or less.
09/10/13
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
Periodicity not necessary.
*Supplement for sketching graphs in context to
identify key features identifying key features of a
graph within context
F-IF.5
Relate the domain of a function to its graph
Alg I and Alg II textbooks
 At this level, extend to quadratic, right triangle
trigonometry, and inverse variations functions
F-IF.7b
Graph functions expressed symbolically
and show key features of the graph
Graph functions expressed symbolically
and show key features of the graph
Alg II textbook
F-IF.8a
Use factoring to show zeros, extreme
values, and symmetry of the graph;
interpret within a context
Alg I and Alg II textbook
 At this level, completing the square is not
expected
F-IF.9
Compare properties of two functions
expressed in different ways
F-IF.7e
F-BF.1a
09/10/13
Given context write a function to using an
explicit expression, recursive process, or
steps for calculation
Alg II textbook
 At this level, extend to simple trigonometric
functions (sine, cosine, tangent in standard
position)

At this level, extend to quadratic, simple power,
and inverse variation functions
*Supplement comparison of different forms
Geo or Alg II textbook
 Continue to allow informal recursive notation
through this level
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
F-BF.1b
Combine standard functions
Alg II textbook
 At this level, extend to quadratic functions and
kf(x)
F-BF.3
Identify the effects of algebraic
transformations to include translations,
reflections and dilations.
 Represent transformations in the
plane
 Describe transformations as points
 Compare transformations that
preserve distance and angles to
those that do not
Describe the rotations and
reflections of geometric figures that carry it
onto itself
Alg II textbook
 At this level, extend to quadratic
Develop definitions of
rotations, reflections, and translations
Use geometric transformations to draw a
new figure and describe the sequence of
transformations
*Supplement
Use rigid motions to move, predict the
effects, and decide if the two figures are
congruent
Geo textbook
G-CO.2
G-CO.3
G-CO.4
G-CO.5
G-CO.6
09/10/13
Geo textbook
*Supplement
Geo textbook
*Supplement
Geo textbook
*Supplement
*Supplement
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
G-CO.7
Use congruence to show two triangles are
congruent if and only if
their corresponding sides and
corresponding angles are congruent
Explain how triangle congruence
follows from the definition of
congruence in terms of rigid motions.
Geo textbook
G-CO.10
Prove theorems about triangles.
Geo textbook
G-CO.13
Construct figures inscribed in a circle
*Supplement
G-SRT.1a
Dilations
Geo textbook
G-SRT.1b
Dilations
Geo textbook
G-SRT.6
Understand side properties of the angles
*Supplement
G-SRT.7
Explain and use the relationship between
sine and cosine of complementary angles
Geo textbook
Use trigonometric ratios and Pythagorean
Theorem to solve application problems
Geo textbook
Derive the formula for A = 1/2absin(c)
Alg II textbook
G-CO.8
G-SRT.8
G-SRT.9
09/10/13
*Supplement
Geo textbook
*Supplement
*Supplement
*Supplement
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
*Supplement
G-SRT.11
Understand and apply the Law of Sines and
Law of Cosines
Alg II textbook
*Supplement
G-GPE.1
G-GPE.6
G-GMD.4
G-MG.1
G-MG.2
G-MG.3
S-IC.2
S-IC.6
09/10/13
Derive equation of equation of a circle
using the Pythagorean Theorem
Find given points on a segment that
partitions the segment into given ratios
Identify three-dimensional cross sections
and three-dimensional objects generated
by rotations
Use geometric shapes to describe objects
*Supplement
Alg I and Geo textbook
 Alg 1 addresses midpoint
 Geo addresses partitions with median of
triangle
 Other ratios need to be supplemented
*Supplement
*Supplement
Apply density concepts in modeling
situations
Apply geometric methods to solve design
problems
Decide if a model is consistent with results
from a data generating process
*Supplement
Evaluate reports based on data
Found in Alg 2 textbook
*Supplement
Found in Alg 2 textbook
*Supplement
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
*Supplement
S-CP.1
Describe events as subsets of sample space
Found in Alg 2 textbook
*Supplement
S-CP.2
Understand independent events
Found in Alg 2 textbook
*Supplement
S-CP.3
Understand conditional probability
Found in Alg 2 textbook
*Supplement
S-CP.4
Construct and interpret two-way frequency Found in Alg 2 textbook
tables
*Supplement
S-CP.5
Recognize and explain conditional
probability and independence in everyday
language and situations
Found in Alg 2 textbook
Find conditional probability and interpret
answers
Found in Alg 2 textbook
Apply to addition rule
Found in Alg 2 textbook
S-CP.6
S-CP.7
09/10/13
*Supplement
*Supplement
North Carolina High School Mathematics Alignment to Traditional Text
MATH II
*Supplement
S-CP.8
Apply the multiplication rule
Found in Alg 2 textbook
*Supplement
S-CP.9
09/10/13
Use permutations and combinations to
compute probabilities
Found in Alg 2 textbook
*Supplement