Download Curriculum Map - Grade 09-12

Monticello High School
ALGEBRA 1B(Master)
Teacher: Pam Householder
Content
A Operations of Numbers
A1 Opposites and Absolute Value
A2 Addition
A3 Subtraction
A4 Multiplication
A5 Division
A6 Order of Operation
A7 Powers
Skills
6.11.01 Recognize, represent,
order, compare real numbers, and
locate real numbers on a number
line (e.g., p, 
Assessment
written response quiz
assign related problems
informal evaluation
6.11.06 Apply number theory concepts to
the solution of problems (e.g., prime and
composite numbers, prime factorization,
greatest common factor, least common
multiple, divisibility rules).
6.11.05 Simplify or test expressions by
applying field properties (commutative,
associative, distributive), order properties
(transitive, reflexive, symmetric), and
properties of equality for the set of real
numbers.
6.11.04 Apply the rules of order of
operations to real-number expressions.
6.11.02 Represent numbers in
equivalent forms (e.g.,
fraction/decimal/percent,
exponential/logarithmic,
radical/rational exponents, absolute
value, scientific notation).
B Real Numbers
B1 Real Numbers
B2 Addition Properties
B3 Multiplication Properties
B4 Special Properties
B5 Multiplying and Factoring
B6 Combining Like terms
6.11.01 Recognize, represent,
order, compare real numbers, and
locate real numbers on a number
line (e.g., p, 
written response quiz
assign related problems
informal evaluation
8.11.03 Identify essential quantitative
relationships in a situation, and determine
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ALGEBRA 1B(Master)
Householder
Content
C Equations and Problem Solving
C1 Addition and Subtraction
C2 Multiplication and Division
C3 Two or More Operations
C4 Problem Solving and Applications: Using Formulas
C5 Like Terms in Equations
C6 Problem Solving and Applications: From words to
symbols
C7 Problem Solving and Applications: Using Real
Numbers
D Problem Solving: one Variables
D1 Problem Solving and Applications: Using
Conditions
D2 Problem Solving and Application: Using Geometry
Formulas
D3 Variable on Both Sides
D4 Problem Solving and Applications: Using Per Cent
D5 Problem Solving and Applications: Using Distance
Formulas
E Inequalities
E1 Graphs of Inequalities
E2 Properties of Order
E3 Addition and Subtraction
E4 Solving Inequalities
E5 Multiplication and Division
E6 Inequalities: More than One step
E7 Problem Solving and Applications: Using
Inequalities
Skills
Monticello High School
Assessment
the class or classes of functions (e.g.,
linear, quadratic, exponential) that model
the relationships.
8.11.02 Represent mathematical
relationships using symbolic algebra.
6.11.16 Simplify numerical problems
involving absolute value.
6.11.15 Judge the reasonableness of
solutions, and find mistakes in calculation,
logic, and formula application.
6.11.14 Determine the most cost effective
option using single- and multi-step
calculations and then comparing results.
6.11.13 Set up, evaluate, or solve singleand multi-step number sentences and word
problems with rational numbers using the
four basic operations.
6.11.10 Perform numerical computations
with real numbers.
6.11.09 Solve problems involving
estimates or data (e.g., use averages to
estimate the cost of a job that includes
labor and materials).
6.11.08 Determine the appropriate
solution, including rounding, from a
context (e.g., rounding up, down, to the
nearest integer).
6.11.07 Determine the effects of
operations on the magnitudes of quantities
(e.g., multiplication, division, powers,
roots).
6.11.06 Apply number theory concepts to
the solution of problems (e.g., prime and
composite numbers, prime factorization,
greatest common factor, least common
multiple, divisibility rules).
6.11.05 Simplify or test expressions by
applying field properties (commutative,
associative, distributive), order properties
(transitive, reflexive, symmetric), and
properties of equality for the set of real
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ALGEBRA 1B(Master)
Householder
Content
Skills
Monticello High School
Assessment
numbers.
6.11.04 Apply the rules of order of
operations to real-number expressions.
6.11.02 Represent numbers in
equivalent forms (e.g.,
fraction/decimal/percent,
exponential/logarithmic,
radical/rational exponents, absolute
value, scientific notation).
F Powers
F1 Products of Powers
F2 Quotients of Powers and Zero Exponents
F3 Negative Exponents
F4 Powers of Products
F5 Powers of Products
F6 Scientific Notation
G Roots
G1 Numbers in Radical Form
G2 Products
G3 Simplifying Radicals
G4 Simplifying Radical Expressions
G5 Sums and Differences
6.11.01 Recognize, represent, order,
compare real numbers, and locate real
numbers on a number line (e.g., p,

written response quiz
assign related problems
informal evaluation
8.11.03 Identify essential quantitative
relationships in a situation, and determine
the class or classes of functions (e.g.,
linear, quadratic, exponential) that model
the relationships.
8.11.02 Represent mathematical
relationships using symbolic algebra.
8.11.01 Simplify or identify equivalent
algebraic expressions (e.g., exponential,
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ALGEBRA 1B(Master)
Householder
Content
G6 Quotients
G7 Approximations
G8 Problem Solving and Applications: The Rule of
Pythagorus
H Polynomials
H1 Monomials
H2 Operations with Monomials
H3 Polynomials
H4 Addition and Subtraction
H5 Multiplication
H6 Division
H7 Division with Remainders
Skills
Monticello High School
Assessment
rational, logarithmic, factored,
polynomial).
6.11.15 Judge the reasonableness of
solutions, and find mistakes in calculation,
logic, and formula application.
6.11.14 Determine the most cost effective
option using single- and multi-step
calculations and then comparing results.
6.11.13 Set up, evaluate, or solve singleand multi-step number sentences and word
problems with rational numbers using the
four basic operations.
6.11.12 Solve problems using simple
matrix operations (addition, subtraction,
multiplication, scalar multiplication).
6.11.10 Perform numerical computations
with real numbers.
6.11.09 Solve problems involving
estimates or data (e.g., use averages to
estimate the cost of a job that includes
labor and materials).
6.11.08 Determine the appropriate
solution, including rounding, from a
context (e.g., rounding up, down, to the
nearest integer).
6.11.07 Determine the effects of
operations on the magnitudes of quantities
(e.g., multiplication, division, powers,
roots).
6.11.06 Apply number theory concepts to
the solution of problems (e.g., prime and
composite numbers, prime factorization,
greatest common factor, least common
multiple, divisibility rules).
6.11.05 Simplify or test expressions by
applying field properties (commutative,
associative, distributive), order properties
(transitive, reflexive, symmetric), and
properties of equality for the set of real
numbers.
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ALGEBRA 1B(Master)
Householder
Content
Skills
Monticello High School
Assessment
6.11.04 Apply the rules of order of
operations to real-number expressions.
6.11.02 Represent numbers in
equivalent forms (e.g.,
fraction/decimal/percent,
exponential/logarithmic,
radical/rational exponents, absolute
value, scientific notation).
8.11.06 Evaluate variable
expressions and functions
8.11.14 Model problems using
mathematical functions and relations (e.g.,
linear, non-linear).
Solve linear equations and
inequalities, including selecting and
evaluating formulas.
9.11.01 Apply the Pythagorean
theorem.
8.11.16
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ALGEBRA 1B(Master)
Householder
Monticello High School
Content
Skills
8.11.19 Solve problems that
include nonlinear functions,
including selecting and evaluating
formulas (i.e., absolute value,
trigonometric, logarithmic,
exponential).
I Factoring Polynomials
I1 Common Monomial Factors
I2 Factoring Trinomials
I3 Factoring x^2 + bx + c
I4 Factoring ax^2 + bx + c
I5 Difference of Two Squares
I6 Trinomial Squares
I7 Combined Types of Factoring
8.11.14 Model problems using
mathematical functions and
relations (e.g., linear, non-linear).
8.11.10 Interpret the role of the
coefficients and constants on the
graphs of linear and quadratic
functions, given a set of equations.
written response quiz
assign related problems
informal evaluation
J Products and Quotients of Rational Expressions
8.11.10 Interpret the role of the
coefficients and constants on the
graphs of linear and quadratic
functions, given a set of equations.
8.11.06 Evaluate variable
expressions and functions.
written response quiz
assign related problems
informal evaluation
J1 Rational Expressions
J2 Simplifying Rational Expressions
J3 Multiplying Rational Expressions
J4 Binomial Numerators and Denominators
J5 Trinomial Numerators and Denominators
J6 Dividing Rational Expressions
J7 Quotients and Complex Fractions
Assessment
8.11.01 Simplify or identify equivalent
algebraic expressions (e.g., exponential,
rational, logarithmic, factored,
polynomial).
8.11.04 Determine a specific term, a finite
sum, or a rule that generates terms of a
pattern.
8.11.03 Identify essential quantitative
relationships in a situation, and determine
the class or classes of functions (e.g.,
linear, quadratic, exponential) that model
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ALGEBRA 1B(Master)
Householder
Content
Skills
Monticello High School
Assessment
the relationships.
8.11.02 Represent mathematical
relationships using symbolic algebra.
J6 Dividing Rational Expressions
J7 Quotients and Complex Fractions
K Sums and Differences of Rational Expressions
K1 Sums/Differences: Like Denominators
K2 More Sums and Differences
K3 Least Common Denominators
K4 Unlike Monomial Denominators
8.11.08 Recognize and describe the
general shape and properties of
functions from graphs, tables, or
equations (e.g., linear, absolute
value, quadratic, exponential,
logarithmic).
8.11.01 Simplify or identify
equivalent algebraic expressions
(e.g., exponential, rational,
logarithmic, factored, polynomial).
written response quiz
assign related problems
informal evaluation
8.11.22 Identify equivalent forms of
equations, inequalities, and systems of
equations.
8.11.21 Recognize and apply mathematical
and algebraic axioms, theorems of algebra,
and deductive reasoning.
8.11.16 Solve linear equations and
inequalities, including selecting and
evaluating formulas.
8.11.14 Model problems using
mathematical functions and relations (e.g.,
linear, non-linear).
8.11.03 Identify essential quantitative
relationships in a situation, and determine
the class or classes of functions (e.g.,
linear, quadratic, exponential) that model
the relationships.
8.11.02 Represent mathematical
relationships using symbolic algebra.
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ALGEBRA 1B(Master)
Householder
Content
K5 Sums/Differences: Unlike Denominators
K6 More Sums and Differences
K7 Equations with Rational Expressions
L Relations and Functions
L1 Graphs of Ordered Pairs
L2 Points and Ordered Pairs
Skills
Represent numbers in equivalent forms
(e.g., fraction/decimal/percent,
exponential/logarithmic, radical/rational
exponents, absolute value, scientific
notation).
Monticello High School
Assessment
written response quiz
assign related problems
informal evaluation
Set up, evaluate, or solve number sentences
or word problems involving ratios and
proportions with rational numbers
Create and connect representations that are
tabular, graphic, numeric, and symbolic
from a set of data.
L3 Relations
L4 Functions
L5 Graphs of Functions
L6 Problem Solving and Applications: Uning Graphs :
Predictions
M Linear Functions
M1 Graphs of Linear Functions
M2 Y Intercept
Identify an equation of a line or an
equation of a line of best fit from given
information
written response quiz
assign related problems
informal evaluation
Recognize and describe the general shape
and properties of functions from graphs,
tables, or equations (e.g., linear, absolute
value, quadratic, exponential, logarithmic).
Identify slope from an equation, table of
values, or graph.
Interpret the role of the coefficients and
constants on the graphs of linear and
quadratic functions, given a set of
equations.
Analyze functions by investigating domain,
range, rates of change, intercepts, and
zeros.
M3 Slope of a Line
M4 Slope Formula
M5 Parallel Lines
Analyze functions by investigating domain,
written response quiz
assign related problems
informal evaluation
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ALGEBRA 1B(Master)
Householder
Content
M6 X intercept
M7 Problem Solving and Applications: Using Graphs:
Estimation
N Systems of Sentences
N1 Graphs
N2 Solving Systems of Graphing
N3 Addition Method
N4 Multiplication/Addition Method
N5 Problem Solving and Applications: Using Systems
of Equations
O More on Systems of Sentences
O1 Substitution Methods
O2 Problem Solving and Applications: Digit Problems
O3 Problem Solving and Applications: Mixture
Problems
O4 Problem Solving and Applications: Money
Skills
Monticello High School
Assessment
range, rates of change, intercepts, and
zeros.
8.11.07 Identify an equation of a line or an
equation of a line of best fit from given
information (e.g., from a set of ordered
pairs, graphs, tables).
8.11.08 Recognize and describe the general
shape and properties of functions from
graphs, tables, or equations (e.g., linear,
absolute value, quadratic, exponential,
logarithmic).
8.11.09 Identify slope from an equation,
table of values, or graph.
8.11.10 Interpret the role of the coefficients
and constants on the graphs of linear and
quadratic functions, given a set of
equations.
8.11.11 Analyze functions by investigating
domain, range, rates of change, intercepts,
and zeros.
8.11.12 Create and connect representations
that are tabular, graphic, numeric, and
symbolic from a set of data.
8.11.13 Represent quantitative
relationships graphically, and interpret the
meaning of the graph or a specific part of
the graph as it relates to the situation
represented by the graph.
Simplify or identify equivalent algebraic
expressions
written response quiz
assign related problems
informal evaluation
Represent quantitative relationships
graphically, and interpret the meaning of
the graph or a specific part of the graph as
it relates to the situation represented by the
graph.
Identify an equation of a line or an
equation of a line of best fit from given
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ALGEBRA 1B(Master)
Householder
Content
Problems
O5 Problem Solving and Applications:
Distance/Rate/Time
P Systems of Inequalities
P1 Inequalities in Two Variables
P2 Graphs of Inequalities with < and >
P3 Graphs of Inequalities with <= and >=
P4 Graphs of Systems with < and >
P5 Graphs of Systems with <= and >=
Q Quadratic Functions
Q1 Graphs of Quadractic Functions
Q2 Solving by Factoring
Q3 The Quadratic Formula
Q4 Graphing Quadratic Equations
Skills
Monticello High School
Assessment
information (e.g., from a set of ordered
pairs, graphs, tables).
8.11.08 Recognize and describe the general
shape and properties of functions from
graphs, tables, or equations (e.g., linear,
absolute value, quadratic, exponential,
logarithmic).
8.11.09 Identify slope from an equation,
table of values, or graph.
8.11.10 Interpret the role of the coefficients
and constants on the graphs of linear and
quadratic functions, given a set of
equations.
8.11.11 Analyze functions by investigating
domain, range, rates of change, intercepts,
and zeros.
8.11.12 Create and connect representations
that are tabular, graphic, numeric, and
symbolic from a set of data.
8.11.13 Represent quantitative
relationships graphically, and interpret the
meaning of the graph or a specific part of
the graph as it relates to
Identify essential quantitative relationships
in a situation, and determine the class or
classes of functions (e.g., linear, quadratic,
exponential) that model the relationships.
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