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й 2003 by Cobb County School District and Scantron Corporation.
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Cobb County School District
Mathematics (Updated July 2003)
Mathematics - Algebra I

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Priority Level:

High = ллл     Mid = лл      Low = л


Algebraic Concepts | Data Analysis and Probability | Geometry | Number and Operations 
 


Number and Operations

PS1: NUMBER SENSE
The learner will be able to represent, interpret, and compare real numbers.
  
ллл M.ALGI.1.1 Simplify Expressions/Order
The learner will be able to simplify numeric expressions using order of operations, Evaluates algebraic expressions.
  
ллл 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.
  
лл M.ALGI.1.3 Number Lines: Real Numbers
The learner will be able to use a real number line to graph a real number.
  
лл 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.
  
ллл 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.
  
ллл 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.
  
ллл M.ALGI.2.3 Problem Solving: Percents
The learner will be able to solve problems involving ratios, proportions and percents.
  
ллл 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).
  
лл M.ALGI.2.6 Formulas: Evaluate/Basic
The learner will be able to evaluate basic formulas.
  
лл 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.
  
лл 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.
  
ллл 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.
  
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Algebraic Concepts

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.
  
ллл M.ALGI.4.3 Slope: Compute
The learner will be able to determine the slope and intercepts of the graph, given a linear equation.
  
ллл 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.
  
ллл 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.
  
ллл 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.
  
ллл M.ALGI.4.10 Rational equations
The learner will be able to solve simple rational equations, including equations with fractional coefficients.
  
ллл M.ALGI.4.11 Algebraic Fractions: Basic
The learner will be able to multiply, divide, add, and subtract algebraic fractions.
  
лл M.ALGI.4.12 Algebraic Concepts: Simplify
The learner will be able to recognize and simplify basic algebraic fractions.
  
лл M.ALGI.4.13 Polynomials: Add/Subtract
The learner will be able to add and subtract polynomials.
  
лл 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.
  
лл 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.
  
лл M.ALGI.4.17 Monomials: Powers/Quotients
The learner will be able to find products and quotients of monomials.
  
лл 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 non-linear 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.
  
ллл 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.
  

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M.ALGI.5.3 Linear System of Equations
The learner will be able to solve problems using systems of equations.
  
лл 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.
  
лл 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.
  
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Data Analysis and Probability

PS6: DATA ORGANIZATION
The learner will be able to conduct investigations using statistical tools and display resulting data.
  
ллл 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.
  

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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.
  

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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.
  
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Geometry

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 mid-point formulas.
  

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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.
  
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й 2003 Cobb County School District. All Rights Reserved
514 Glover Street | Marietta, Ga. 30060 | (770) 426-3300

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