North Carolina High School Mathematics Alignment to Traditional Text
MATH I
Standard
N.RN.1
N.RN.2
N.Q.1
Math 1 Concept(s)/Skill
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N.Q.2
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N.Q.3
A.SSE.1a
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A.SSE.1b
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A.SSE.2
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A.SSE.3a
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09/10/13
Properties of rational exponents with
numerator of 1
Radicals to exponent form
Exponents to radicals
Using units to understand problems and
guide solutions
Choose units appropriately
Interpret units in the context of the problem
Choose and interpret scale and origin in
graphs and data displays.
Define appropriate quantities for
descriptive modeling.
Choose a level of accuracy within context
Interpret parts of an expression limited to
linear, quadratic and exponential (with
integer exponents)
Interpret the meaning of grouped together
parts of an expression as a single entity
Rewriting expressions by, combining like
terms, expanding and factoring
Factor a quadratic expression
Interpret zeros of a quadratic function
Traditional Alignment
Integer exponents in Alg I textbook
* Supplement rational exponents
with numerator of 1 in Alg II
textbook
Alg II textbook
Geometry textbook
 Finding the perimeter, are
and volume of geometric
figures
* Supplement
* Supplement
* Supplement
Alg 1 textbook
 Linear and exponential are
found in
* Supplement
* Supplement
Alg I and Alg II textbooks
Alg 1 textbook
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
within context
A.APR.1
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A.CED.1
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A.CED.2
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A.CED.3
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A.CED.4
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A.REI. 1
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A.REI.3
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A.REI.5
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A.REI.6
08/03/13
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Add, subtract and multiply polynomial
limited to linear a quadratic expressions
Create and solve equations and inequalities
with one variable limited to linear and
exponential.
Create and graph equations with two or
more variables limiting to linear, quadratic
and exponential (integer inputs)
Represent constraints by equations or
inequalities and by systems of equations an
inequalities focus on linear functions
Interpret solutions
Solving multivariable formulas or literal
equations for a specific variable
Using mathematical properties to justify
each step when solving simple equations
Solving one variable linear equations and
inequalities, including coefficients
Prove that the a system and a multiple of
the same system have the same solution
Combining equations maintain inequality
and hence elimination work
Solving systems by substitution and
elimination
* Supplement with other resources
for contextual examples.
Alg I and Alg II textbooks
Alg I and Alg II textbooks
Alg I and Alg II textbooks
* Supplement creating quadratics
with other resources.
Alg II textbooks
Alg I textbook
Alg I textbook
Alg I textbook
* Supplement
Alg I textbook
2
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
A.REI.10
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A.REI.11
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A.REI.12
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F.IF.1
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F.IF.3
F.IF.4
08/03/13
Graph solution to a linear inequality in two
variables and recognize solutions as a half
plane
Graph system of inequalities and recognize
the solution as the intersection of the
corresponding half planes
Alg I and Alg II textbooks
Alg I and Alg II textbooks
* Supplement for all types of
functions
Alg I textbook
Domain and range of a function
Understand the one to one and many to one
nature of a function
Use function notation to write an equation
Alg I and Alg II textbooks
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Use, evaluate and interpret statements
written in function notation focusing on
linear and exponential functions
Alg I and Alg II textbooks
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Interpret key features of graphs and tables
Given verbal description, sketch graphs
given key features focus on but not limited
to linear exponential and quadratic
functions
Alg I and Alg II textbook
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F.IF.2
Graph of an equation represent all the
solutions limited to linear and exponential
Solving systems using function notation
focus on linear and exponential
* Supplement identifying key
features of a graph within context
3
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
F.IF.6
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F.IF.7a
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F.IF.5
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F.IF.7e
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Graph functions expressed symbolically by
hand or using technology
 Show key features of the graph
Focus on but not limited exponential functions,
logarithmic and trigonometric may be explores
F.IF.8a
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F.IF.8b
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F.IF.9
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F.BF.1a
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F.BF.1b
08/03/13
Identify the domain of a function in context
Relate the domain of a function to its graph
Calculate average rate of change
(symbolically or from a table)
Interpret the rate of change in context
Estimate rate of change from a graph
Graph linear and quadratic functions
expressed symbolically by hand or using
technology
Show key features of the graph
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Using the processes of factoring to show
zeros of a function
Interpret exponential functions in terms of
growth or decay and percent rate of change
Compare properties of two functions
represented in different ways
Give context, write a function using an
explicit expressions, recursive process or
showing steps for calculation
Combine standard function types using
* Supplement necessary for domain
in context.
Alg I textbook
Alg I and Alg II text
Alg I and Alg II textbooks
Alg I textbook
Alg I and Alg II textbooks
* Supplement
Alg II textbook
* Supplement recursive process
Alg II textbook
4
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
F.BF.2
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F.BF.3
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F.LE.1a
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F.LE.1b
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F.LE.1c
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F.LE.2
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F.LE.3
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F.LE.5
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G.CO.1
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08/03/13
arithmetic operations
Model situations to write arithmetic and
geometric sequences using informal
recursive notation
Identify the effect algebraic transformations
to include translations, reflections and
dilations.
Proving when a situation can be
represented using a linear or an exponential
model.
Recognize when a quantity changes a
constant rate per unit interval relative to
another
Recognize when a quantity changes by a
constant percent rate per unit interval
relative to another
Construct linear and exponential functions,
including sequences, from a graph,
description or two input-output pairs.
Understanding that quantity increasing
exponentially will eventually exceed all
others.
Understand and identify the practical and
impractical domain in linear and
exponential functions
Define angle, circle, perpendicular line,
parallel line, line segment
* Supplement
Alg II textbook
* Supplement
* Supplement
* Supplement
Alg I textbook
* Supplement
* Supplement
Alg I and Geometry textbooks
5
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
G.GPE.4
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G.GPE.5
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G.GPE.6
G.GPE.7
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G.GMD.1
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G.GMD.3
S.ID.1
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S.ID.2
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S.ID.3
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S.ID.5
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S.ID.6a
S.ID.6b
S.ID.6c
08/03/13
Using coordinates to algebraically prove
simple geometric theorems
Prove and use slope criteria for parallel and
perpendicular lines
Finding the midpoint
Use coordinates to evaluate perimeters of
areas
Use dissection arguments, Cavalieri’s
principle and informal limits arguments to
understand formulas for circumference,
area of circle and volume of cylinder,
pyramid and cone
Volume of cylinders, cones and spheres
Represent data using dot plots, box plots
and histogram
Compare the center and spread of data of
two or more data sets
Interpret differences in shape, center and
spread in the context of data
Generate frequency tables
Interpret relative frequencies
Recognize associations and trends in data
Fit functions to a data set
Use functions to solve problems in context
Focus on linear and exponential models
Calculate and analyze residual points
Use algebraic methods and technology to fit
Geometry textbook
Geometry textbook
Alg I and Geometry textbook
Geometry textbook
* Supplement
Geometry textbook
* Supplement
* Supplement
* Supplement
* Supplement
* Supplement
* Supplement
* Supplement
6
North Carolina High School Mathematics Alignment to Core-Plus Mathematics
MATH I
S.ID.7
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S.ID.8
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S.ID.9
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08/03/13
linear function to data
Interpret slope and intercept of a linear
model in context
Compute and interpret correlation
coefficient
Distinguish between correlation and
causation
* Supplement
* Supplement
7