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Cobb
County School District 
Mathematics (Updated July 2003) 
Mathematics  Algebra I 
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PS1:
NUMBER SENSE The learner will be able to
represent, interpret, and compare real numbers.

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M.ALGI.1.1 Simplify
Expressions/Order The learner will be able to
simplify numeric expressions using order of operations, Evaluates
algebraic expressions. 
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M.ALGI.1.2 Exponents: Laws of
Exponents The learner will be able to apply
the laws of exponents to simplify expressions containing integer
exponents. 
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M.ALGI.1.3 Number Lines: Real
Numbers The learner will be able to use a real
number line to graph a real number. 
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M.ALGI.1.4 Square Root:
Rationals/Irrationals The learner will be able
to use decimals to approximate the value of irrational numbers.

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M.ALGI.1.5
Prime/Factor/Multiple The learner will be able
to factor composite whole numbers, determine the factors of a whole
number, and finds the prime factorization.

PS2:
OPERATIONS AND THEIR RELATIONSHIPS The learner
will be able to apply the operations and properties of real numbers
to solve problems. 
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M.ALGI.2.1 Words to
Expressions The learner will be able to
translate words into algebraic expressions and equations. Represent
problem situations by algebraic expressions and equations.

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M.ALGI.2.2 Properties: Real Numbers
The learner will be able to identify and apply properties
(commutative, associative, distributive, identity, inverse) of real
numbers. 
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M.ALGI.2.3 Problem Solving: Percents
The learner will be able to solve problems involving ratios,
proportions and percents. 
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M.ALGI.2.4 Radicals: Equations/Basic/Solve
The learner will be able to solve problems involving simple
radical equations. 
ллл 
M.ALGI.2.5 Radicals: Square
Roots/Simply The learner will be able to
simplify, multiply, divide, add and subtract square roots (radicals
/ irrational numbers). 
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M.ALGI.2.6 Formulas:
Evaluate/Basic The learner will be able to
evaluate basic formulas. 
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M.ALGI.2.7 Operations: Rational
Numbers The learner will be able to adds,
subtracts, multiplies, and divides integers and other rational
numbers, and finds their absolute values.

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M.ALGI.2.8 Rational Numbers:
Represent The learner will be able to express
rational numbers in decimal or fraction form, and express
terminating or repeating decimals as fractions.

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M.ALGI.2.9 Radicals/Fractional
Exponents The learner will be able to evaluate
expressions with fractional exponents and use fractional exponents
to simplify radical expressions. 
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M.ALGI.2.10 Radicals:
Equations/Simple/Solve The learner will be
able to solve simple radical equations.

PS3:
COMPUTATION AND ESTIMATION The learner will be
able to develop fluency in all operations with real numbers in real
world problem solving situations.

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M.ALGI.3.1 Problem Solving:
Throughout The learner will be able to solve
problems throughout this course that involve selecting appropriate
strategies, using estimation to predict computational results, and
judging reasonableness of outcome. 
лл 
M.ALGI.3.2 Expressions:
Recognize/Solutions The learner will be able
to recognize an expression that illustrates the solution to a math
problem. 
PS4:
PATTERNS, RELATIONS, AND FUNCTIONS The learner
will be able to use functions to represent and analyze patterns and
quantitative relationships. 
ллл 
M.ALGI.4.1 Inequalities:
Graph/Compound The learner will be able to
obtain and graph the solution of a compound inequality with one
variable on a number line. 
ллл 
M.ALGI.4.2 Solving Equations and
Inequalities The learner will be able to
solves equations and inequalities of one variable and graphs their
solutions on a number line. 
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M.ALGI.4.3 Slope:
Compute The learner will be able to determine
the slope and intercepts of the graph, given a linear equation.

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M.ALGI.4.4 Graphing Linear
Equations The learner will be able to sketch
the graph of and write a linear equation in two variables given two
points or one point and the slope. 
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M.ALGI.4.5 Cartesian Plane: Graphing Linear
Equations The learner will be able to graph
linear equations in two variables by generating ordered pairs;
identify graphs of special equations that generate vertical,
horizontal, parallel and perpendicular lines.

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M.ALGI.4.6 Linear System of
Equations The learner will be able to solve a
system of two linear equations in two variables by a variety of
methods including graphing. 
ллл 
M.ALGI.4.7 Graphing Linear
Inequalities The learner will be able to graph
linear inequalities in two variables. 
ллл 
M.ALGI.4.8 Factoring: Simple
Quadratic The learner will be able to factor
simple quadratic expressions such as trinomials, difference of two
squares, and polynomials with common factors.

ллл 
M.ALGI.4.9 Quadratic Equation:
Solve The learner will be able to solve
quadratic equations using a variety of methods including the
quadratic formula, factoring, completing the square, scientific or
graphing calculator, or computer. 
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M.ALGI.4.10 Rational equations
The learner will be able to solve simple rational equations,
including equations with fractional coefficients.

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M.ALGI.4.11 Algebraic Fractions:
Basic The learner will be able to multiply,
divide, add, and subtract algebraic fractions.

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M.ALGI.4.12 Algebraic Concepts:
Simplify The learner will be able to recognize
and simplify basic algebraic fractions.

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M.ALGI.4.13 Polynomials:
Add/Subtract The learner will be able to add
and subtract polynomials. 
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M.ALGI.4.14 Polynomials:
Multiply The learner will be able to multiply
polynomials (two monomials, a monomial and a polynomial, two
binomials, two polynomials. 
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M.ALGI.4.15 Polynomials: Divide by
Mono The learner will be able to divide a
polynomial by a monomial. 
лл 
M.ALGI.4.16 Polynomials:
Exponents The learner will be able to use laws
of exponents necessary to perform polynomial operations including
scientific notation. 
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M.ALGI.4.17 Monomials:
Powers/Quotients The learner will be able to
find products and quotients of monomials.

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M.ALGI.4.18 Functions/Relations:
Differentiate The learner will be able to
differentiate between functions and relations.

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M.ALGI.4.19 Graphing:
Domain/Range The learner will be able to
identify the domain and range of a given function or relation.

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M.ALGI.4.20 Polynomials: Recognizing
Expressions The learner will be able to
identify polynomial expressions (expressions, binomial, trinomial,
degree). 
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M.ALGI.4.21 Generating Paired
Data The learner will be able to graph
nonlinear functions using input/output tables including quadratic,
radical and exponential equations. 
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M.ALGI.4.22 Polynomials:
Determine/Coefficient The learner will be able
to determine the leading coefficient, constant term, and total
number of terms in a polynomial. 
PS5:
ALGEBRAIC PROBLEM SOLVING The learner will be
able to use a variety of functions to model and solve problems.

ллл 
M.ALGI.5.1 Functions/Relations:
Problems The learner will be able to apply
patterns, relations and functions to obtain solutions to
problems. 
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M.ALGI.5.2 Solving Equations /
Problems The learner will be able to solve
equations of one variable using a variety of methods. Solves
problems involving equations of one variable.

ллл 
M.ALGI.5.3 Linear System of
Equations The learner will be able to solve
problems using systems of equations. 
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M.ALGI.5.4 Direct/Inverse Variations:
Problems The learner will be able to solve
problems using rational equations including proportions, rate, and
variation (direct, inverse, or joint) problems.

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M.ALGI.5.5 Represent Problems:
Algebraic The learner will be able to
represent problem scenarios with algebraic expression and
equations. 
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M.ALGI.5.6 Problem Solving:
Tools The learner will be able to uses a
variety of technology to investigate and solve problems.

Data Analysis and
Probability 
PS6: DATA
ORGANIZATION The learner will be able to
conduct investigations using statistical tools and display resulting
data. 
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M.ALGI.6.1 Predictions:
Probability/Explain The learner will be able
to make predictions of or explain the probability of a particular
event expressed as a rational number from zero to one.

ллл 
M.ALGI.6.2 Outcomes: Identify
The learner will be able to recognize potential outcomes for
an elementary experiment. 
лл 
M.ALGI.6.3 Mean/Median/Mode/Range:
Summarize The learner will be able to
summarize data in various ways including mean, mode, median, and
range using charts and graphs. 
л 
M.ALGI.6.4 Probability:
Recognize/Compound The learner will be able to
recognize the probability of a specific event in a compound
probability experiment. 
PS7:
FIGURES IN SPACE The learner will be able to
analyze properties of geometric shapes, develop related mathematical
arguments, and solve problems. 
ллл 
M.ALGI.7.1 Coordinate Plane:
Distance, The learner will be able to apply
the distance and midpoint formulas. 
лл 
M.ALGI.7.2 Coordinate Plane: Plot
Point The learner will be able to graph points
(ordered pairs of numbers) on a coordinate plane and identify the
coordinates of given points in the plane. Identify the quadrants of
the plane. 
PS8:
SPATIAL RELATIONSHIPS The learner will be able
to make, test, and validate conjectures associated with spatial
relationships in problem solving.

ллл 
M.ALGI.8.1 Pythagorean Theorem:
Use The learner will be able to apply the
Pythagorean Theorem and its converse in problem solving
scenarios. 
й 2003 Cobb County School
District. All Rights Reserved 514 Glover Street  Marietta, Ga. 30060 
(770) 4263300
Send your comments to Sue Brown
