Pikeville Independent Schools [HONORS ALGEBRA 1 CURRICULUM MAP 2015-2016]
School Calendar
August
X X X 13 14
Days
Clusters
Common Core State Standards
Resources/Assessments
Assign textbooks, review syllabus etc.
1-2
17 18 19 20 21
Algebra Review Section 1.2
Real numbers review
Suggested Problems set Elayn Martin
Gay Intermediate Algebra textbook
(EMG) Section 1.2
Interpret the structure of expressions
A.SSE.1a Interpret expressions that represent a quantity in terms of its context.
A.SSE.1b Interpret expressions that represent a quantity in terms of context
EMG book Section 1.3
Understand solving equations as a
process of reasoning and explain the
reasoning
A.REI.1 Explain each step in a solving a simple equations as following from the
equality of numbers asserted at the previous step, starting from the
assumption that the original equation has a solution.
EMG book Section 2.1
Create equations that describe numbers
or relationships
A.CED.1 Create equations and inequalities in one variable and use them to solve
problems
Reason quantitatively and use units to
solve problems
Create equations that describe numbers
and relationships
Interpret the structure of expressions
N.Q.1 Use units as a way to understand problems and to guide the solution of a
multi-step problem; choose and interpret units consistently in formulas;
choose and interpret the scale and the origin in graphs and data
displays
N.Q.2 Define appropriate quantities for the purpose of descriptive modeling
N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when
reporting quantities
A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same
reasoning as in solving equations
A.SSE.1b Interpret expressions that represent a quantity in terms of context
EMG book section 2.2
Solve equations and inequalities in one
variable
A.REI.3 Solve linear equations and inequalities in one variable including equations
with coefficients represented by letters
EMG book section 2.4
Interpreting Functions
F.IF.1 Understand that a function from one set (called the domain) to another set
(called the range) assigns to each element of the domain exactly one
element of the range. If f if a function and x is an element of its domain,
then f(x) denotes the output of f corresponding to the input x. The graph
of f is the graph of the equation y=f(x)
F.IF.5 Relate domain of a function to its graph and, where applicable, to the
quantitative relationship it describes.
F.IF.7a Graph functions expressed symbolically and show key features of the
graph, by hand in simple cases and use technology for more difficult
ones
EMG book section 3.2
3-7
24 25 26 27 28
8-12
31
13
1
September
2 3 4
14-17
X 8 9 10 11 18-21
14 15 16 17 18
EMG book section 2.3
22-26
21 22 23 24 25
27-31
28 29 30 X X
October
5 6 7 8 9
I can understand the mathematics retake policy
I can understand all classroom rules
I can understand the school grading scale
I can KEEEP UP with my BOOK 
I can identify and evaluate algebraic expressions
I can identify natural, whole, integers, rational , irrational, and real numbers
I can find absolute value of a number
I can find the opposite of a number
I can write phrases as algebraic expressions
I can evaluate expressions containing exponents
I can evaluate algebraic expressions and determine the different between term
and coefficient
I can solve linear equations using properties of equality
I can solve linear equations that can be simplified by combining like terms
I can solve linear equations containing fractions and decimals
I can recognize identities and equations with no solution
I can explain my steps in solving linear equations process
I can write algebraic expressions that can be simplified
I can apply the steps for problem solving with correct units
I can solve a formula for a specified variable
I can use formulas to solve problems
I can use interval notation
I can solve linear inequalities using the addition property of inequality
I can solve linear inequalities using the multiplication and the addition
properties of inequality
I can solve problems that can be modeled by linear inequalities
I can define relation, domain, and range
I can identify functions
I can use the vertical line test for functions
I can find the domain and range of a function
I can use and understand function notation
I can graph linear functions
32-34
35-39
12 13 14 15 16
40-44
19 20 21 22 23
EMG book section 3.3
Learning Targets
45-49
All the above
All the above
Interpret Linear Models
Interpret functions that arise in
applications in terms of context
S.ID.7 Interpret the slope (rate of change) and intercept (constant term) of a linear
model in the context of the data
F.IF.6 Calculate and interpret the average rate of change of a function over a
specified interval. Estimate the rate of change from a graph
Build a function that models a
relationship between two quantities
F.BF.1a Write a function that describes a relationship between two quantities
b Combine standard function types using arithmetic operations
Nine weeks Comp Review/Exam (20% of
overall test/quiz grade)
EMG book section 3.4
EMG book section 3.5
All the above
I can find the slope of a linear given two points
I can find the slope of a line given the equation of a line
I can interpret the slope-intercept form in application
I can find the slopes of horizontal and vertical lines
I can compare the slopes of parallel and perpendicular lines
I can use the slope-intercept form to write the equation of a line
I can graph a line using its slope and y-intercept
Pikeville Independent Schools [HONORS ALGEBRA 1 CURRICULUM MAP 2015-2016]
School Calendar
Days
26 27 28 29 30
50-54
November
4 5 6
2
X
9
10 11 12 13
55-58
Clusters
X
30
1
X X X
December
2 3 4
7 8 9 10 11
14 15 16 17
X X X X X
X X X X X
January
X 5 6 7 8
EMG Section 3.6
Create equations that describe numbers or
relationships
A.CED.3 Represent constraints by equations or inequalities, and by systems of
equations and/or inequalities, and interpret solutions as viable or
nonviable options in a modeling context
A.CED.2 Create equations in two or more variables to represent relationships
between quantities, graph equations on a coordinate axes with labels
and scales
A.REI.5 Prove that, given a system of two equations in two variables, replacing one
equation by the sum of that equation and a multiple of the other
produces a system with the same solutions
A. REI.6 Solve systems of linear equations exactly and approximately focusing on
pairs of linear equations in two variables
A.REI.7 Solve a simple system consisting of a linear equation and a quadratic
equation in two variables algebraically and graphically.
A.REI.10 Understand that the graph of an equation in two variables is the set of all
its solutions plotted in the coordinate plate, often forming a curve (which
could be a line.)
EMG Section 3.7
I can graph linear inequalities
I can graph the intersection or union of two linear inequalities
EMG Section 4.1
I can determine whether an ordered pair is a solution of a system of two
linear equations
I can solve a system by graphing, substitution, and elimination
Create equations that describe numbers or
relationships
64-68
Represent and solve equations and
inequalities graphically
Represent and solve equations and
inequalities graphically
A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane,
and graph the solution set to a system of linear inequalities in two
variables as the intersection of the corresponding half planes.
EMG Section 4.5
I can graph a system of linear inequalities
69-73
74-78
79-82
All of the above
All of the above
Semester Review/Exam
All of the above
Interpret the structure of expressions
ASSE.1a Interpret parts of an expression such as terms, factors, and coefficients
EMG Section 5.3
Understand the concept of a function
and use function notation
F.IF.2 Use function notation, evaluate functions for inputs in their domains, and
interpret statements that use function notation in terms of a context.
Perform arithmetic operations on
polynomials
A.APR.1 Understand that polynomials form a system analogous to the integers,
namely, they are closed under the operations of addition, subtraction,
and multiplication
EMG Section 5.4
Interpret the structure of expressions
A.SSE.2 Use the structure of an expression to identify ways to rewrite it
EMG Section 5.5
Write expressions in equivalent forms to
solve problems
A.SSE.3a Choose and produce an equivalent form of an expression to reveal and
explain properties of the quantity represented by the expression.
I can identify term, constant, polynomial, monomial, binomial, trinomial, and
the degree of a term of a polynomial
I can define polynomial functions
I can add/subtract polynomials
I can recognize the graph of a polynomial function from the degree of a
polynomial
I can multiply two polynomials
I can multiply binomials
I can square binomials
I can multiple the sum and difference of two terms
I can multiple three or more polynomials
I can evaluate polynomial functions
I can identify a GCF
I can factor out the GCF of a polynomial’s terms
I can factor polynomials by grouping
I can factor trinomials with a=1
I can factor trinomials when a doesn’t equal 1
I can factor trinomials by substitution
I can factor a perfect square trinomial
I can factor the difference of two squares
83-86
11 12 13 14 15
87-91
X
19 20 21 22
Learning Targets
I can use the point-slope form to write the equation of a line
I can find equations of parallel and perpendicular lines
I can graph piecewise-defined functions
I can determine vertical and horizontal shifts
I can reflect graphs
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) +k, and f(kx), and
f(x+k) for specific values of k
F.IF.7b Graph functions expressed symbolically and show key features of the
graph, by hand in simple cases and using technology for more
complicated cases. Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions
F.LE.5 Interpret the parameters in a linear or exponential function in terms of
context
59-63
X
Resources/Assessments
Build new functions from existing functions
Interpreting functions
Interpret expressions for functions in terms of
the situation they model
Solve System of Equations
16 17 18 19 20
Common Core State Standards
EMG Section 4.3
92-95
25 26 27 28 29
96-100
EMG Section 5.6 and 5.7
I can solve problems that can be modeled by a system of two linear
equations
I can solve problems with cost and revenue functions
Pikeville Independent Schools [HONORS ALGEBRA 1 CURRICULUM MAP 2015-2016]
School Calendar
Days
Clusters
Common Core State Standards
Resources/Assessments
Learning Targets
I can factor the sum or difference of two cubes
1
2
February
3 4 5
Use properties of rational and irrational
numbers
N.RN.3 Explain why the sum or product of two rational numbers is
rational; that the sum of a rational number and irrational number is
irrational
EMG Section 6.1 and 6.2
101-105
8
9
Extend the properties of exponents to rational
exponents
10 11 12
N.RN.1 Explain how the definition of the meaning of rational exponents
follows from extending the properties of integer exponents to those
values, allowing for a notation for radicals in terms of rational exponents
EMG Section 7. 1and 7.2
106-110
N.RN.2 Rewrite expressions involving radicals and rational exponents
using the properties of exponents
X
16 17 18 19
111-114
Reasoning with equations and
Inequalities
Write expressions in equivalent forms to
solve problems
Solve equations and inequalities in one
variable
Analyze functions using different
representations
22 23 24 25 26
115-119
29
1
March
2 3 4
Analyze functions using different
120-124 representations
7 8 9 10 11 125-129 All of the above
Interpret functions that arise in
14 15 16 17 18
applications in terms of the context
130-134
21 22 23 24 25 135-139
X X X X X
April
4 5 6 7 8
Analyze functions using different
representations
Reasoning with Equations and
140-144 Inequalities
11 12 13 14 15
Building New Functions from
145-149 Existing Functions
Interpreting functions
A.REI.4a Solve quadratic equations in one variable
A.REI.4b Solve quadratic equations by inspection, taking square roots,
completing the square, the quadratic formula and factoring
A.SSE.3b Choose and produce an equivalent form of an expression to
reveal and explain properties of the quantity represent by the expression
Complete the square in a quadratic expression to reveal the maximum or
minimum value of the function it defines
F.IF.8a Write a function defined by an expression in different but
equivalent forms to reveal and explain different properties of the
function.
Use the process of factoring and completing the square in a quadratic
function to show zeros, extreme values, and symmetry of the graph and
interpret these in terms of context
F.IF.9 Compare properties of two functions each represented in a different way
(algebraically, graphically, numerically in tables, or by verbal descriptions).
All of the above
F.IF.4 For a function that models a relationship between two quantities,
interpret key features of graphs and tables in terms of the quantities and
sketch graphs showing key features given a verbal description of the
relationship. Key features include intercepts, intervals where decreasing
and increasing, maximums, minimums, symmetries, end behavior,
periodicity
F.IF.5 Relate the domain of a function to its graph and, where applicable,
to the quantitative relationship it describes.
A.REI.11 Explain why the x-coordinates of the points where the
graphs of the equations y=f(x) and y=g(x) intersect are the
solutions of the equations f(x)=g(x); find the solutions
approximately
F.LE.3 Observe using graphs and tables that a quantity increasing
exponentially eventually exceeds a quantity increasing
linearly, quadratically, or more generally as a polynomial
function.
F.BF.4a Find the inverse functions Solve an equation of the form
f(x)=c for a simple function f that has an inverse and write an
expression for the inverse.
F.IF.8b Write a function defined by an expression in different but
EMG Section 8.1
EMG Section 8.2
EMG 8.3
9 weeks comp review/exam
EMG 8.5 and 8.6
I can find the domain of a rational expression
I can simplify rational expressions
I can multiply and divide rational expressions
I can use rational functions in applications
I can add and subtract rational expressions with common denominators
I can identify the least common denominator of two or more rational
expressions
I can find square roots
I can approximate roots
I can find cube and nth roots
I can graph square and cube root functions
I can interpret fraction and negative fraction exponents
I can use rules for exponents to simplify expressions containing rational
exponents
I can use the square root property to solve quadratic equations
I can solve quadratic equations by completing the square
I can use the quadratic equations to solve problems
I can solve quadratic equations by using the quadratic formula
I can determine the number and type of solutions of a quadratic equation by using
the discriminant
I can solve geometric problems modeled by quadratic equations
I can solve various equations that are quadratic in form
I can solve problems that lead to quadratic equations
All of the above
I can graph quadratic functions in all different forms
I can write quadratic functions in vertex form
I can derive a formula for finding the vertex of a parabola
I can find the minimum or maximum value of a quadratic function
I can find the domain/range of a quadratic function
EMG 9.1
I can add, subtract, multiply, divide functions
I can construct composite functions
EMG 9.2, 9.3 & 9.7
I can determine if a function is one-to-one
I can find the inverse of a function
I can find the equation of the inverse of a function
I can determine whether two functions are inverses of each other
Pikeville Independent Schools [HONORS ALGEBRA 1 CURRICULUM MAP 2015-2016]
School Calendar
Days
Clusters
Construct and compare linear
and exponential models and
solve problems
Write expressions in equivalent
forms to solve problems
18 19 20 X X 150-152
Understand the concepts of a function
25 26 27 28 29
153-157
2
3
May
4 5 6
and use function notation
Construct and compare linear,
quadratic, and exponential models to
solve problems
Build functions that model a relationship
between two quantities
Summarize, represent, and interpret
data
Interpret linear models
158-162
9 10 11 12 13 163-167
16 X 18 19
168-170
Common Core State Standards
Resources/Assessments
equivalent forms to reveal and explain different properties
of the function. Use properties of exponents to interpret
expressions
F.LE.1a Distinguish between situations that can be modeled with
linear functions and with exponential functions. Prove linear
grows equal distance while exponential grow by equal
factors
F.LE.1b Recognize situations in which one quantity changes at a
constant rate per unit interval relative to another
F.LE.1c Recognize situations in which a quantity grows or decays
by a constant percent
A.SSE.3c Use the properties of exponents to transform
expressions for exponential functions
F.IF.7e Graph exponential and logarithmic functions showing
intercepts and end behavior, and trigonometric functions,
showing period, midline, and amplitude
F.IF.3 Recognize that sequences are functions, sometimes defined
recursively, whose domain is a subset of the integers
F.BF.2 Write arithmetic and geometric sequences both recursively and
with an explicit form, use them to model situations, and translate
between the two forms
F.LE.2 Construct linear and exponential functions, including arithmetic
and geometric sequences, given a graph, a description of
relationship, or two input-output pairs.
S.ID.1Represent data with plots on the real number line
S.ID.2 Use statistics to the shape of the data distribution
S.ID.3 Interpret differences in shape, center and spread in the context of
data sets, accounting for possible effects of extreme data points
S.ID.5 Summarize categorical data for two categories in two-way
frequency tables. Interpret relative frequencies
S.ID.6 Represent data on two quantitative variables on a scatter plot, and
describe how the variables are related.
S. ID.8 Compute and interpret correlation coefficient of a linear fit
S.ID.9 Distinguish between correlation and causation
Learning Targets
I can graph exponential functions
I can solve equations bx=by
I can solve problems modeled by exponential equations
I can compare multiple kinds of graphs
I can solve exponential equations
EMG 11.1 and 11.2
I can write the terms of a sequences given its general term
I can find the general term of a sequence
I can solve applications that involve sequences
I can identify arithmetic sequences and common difference
I can identify geometric sequences and their common ratios
Understanding Basic Statistics
supplemental book Pg. 141-168
I can find the correlation coefficient with use of technology
I can plot data on a real number line
I can interpret data distribution
I can determine the relation between variables
End of year Review
End of year Exam