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© 2003 by
Cobb County School District
and
Scantron Corporation.
All Rights Reserved.
Made with
Curriculum Designer by
Scantron Corporation
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Cobb County School District |
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Mathematics (Updated July 2003) |
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Mathematics - Algebra II |
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Goals and Descriptions |
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PS1: NUMBER SENSE
The learner will be able to
represent, interpret, and compare real numbers.
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M.ALGII.1.1 Complex Numbers: Define
The learner will be able to
define a complex number and its additive inverse, conjugate and absolute value. Add, subtract, multiply, and divide complex numbers.
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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.ALGII.2.1 Real Numbers: Nth Roots/Real
The learner will be able to
determine real or imaginary nth roots of real numbers.
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M.ALGII.2.2 Expressions: Evaluate
The learner will be able to
evaluate expressions with fractional exponents, and uses fractional exponents to simplify radical expressions.
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M.ALGII.2.3 Real Number Properties
The learner will be able to
identify and list the properties of the real number system in algebraic proofs.
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M.ALGII.2.4 Matrices: Organize/Manipulate
The learner will be able to
evaluate the results of matrix operations. Evaluate the determinants of a 2x2 and 3x3 matrices using appropriate operations. Find the inverse of a square matrix if it exists. Identify uses and apply matrices in practical situation.
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M.ALGII.2.5 Radicals: Simplify
The learner will be able to
simplify radical expressions and their products, quotients, sums and differences, including rationalizing denominators by using properties of radicals.
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M.ALGII.2.6 Exponents: Laws of Exponents
The learner will be able to
simplify expressions containing integral exponents using the laws of exponents.
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PS3: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to
use functions to represent and analyze patterns and quantitative relationships.
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M.ALGII.3.1 Radical: Solve/Equations
The learner will be able to
solve radical equations with one or two radical terms.
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M.ALGII.3.2 Quadratic Functions: Graph
The learner will be able to
graphs quadratic functions, and determines their minimum/maximum values, the number of zeros, and whether the roots are real or imaginary.
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M.ALGII.3.3 Conic Sections: Sketch/Relationships
The learner will be able to
recognize and sketch the graphs of the relationships among conic sections. Recognizes the graph of an inverse variation as a hyperbola and solves problems involving both direct and inverse variation.
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M.ALGII.3.4 Functions/Relations: Inverse
The learner will be able to
determine the composition of two functions, using multiple representations such as f (g(x)) or (fog) (x). Identify inverse of relations and determines if the inverse relation in a function (Algebraically and graphically).
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M.ALGII.3.5 Logarithmic: Solve/Equations
The learner will be able to
determine value of common and the natural logarithms and antilogarithms using a calculator. Applies the change of base rule.
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M.ALGII.3.6 Relations: Identify/Functions
The learner will be able to
identify, define and graph relations, and state their domain and range, identify relations that are functions. Name functions by using multiple representatives. Define functions, draw their graphs and evaluate for given values of x, (including absolute value function).
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M.ALGII.3.7 Factoring: Polynomials
The learner will be able to
factor quadratic expressions such as perfect square trinomials, difference of squares, and polynomials with common factors. Factor the sum or difference of cubes.
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M.ALGII.3.8 Logarithms: Definition/Properties
The learner will be able to
apply the definition and properties of logarithms to evaluate logarithms. Recognize and apply the inverse relationship of logarithms and exponential functions and graphs each function.
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M.ALGII.3.9 Expressions: Rational
The learner will be able to
simplify, multiply, divide, adds, and subtract, rational expressions, including dividing polynomials.
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M.ALGII.3.10 Linear Inequalities: Graph
The learner will be able to
identify and graph linear equations in two variables, including vertical and horizontal lines. Write equation for lines using various combinations of required information (such as slope, intercepts, point on the line).
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M.ALGII.3.11 Polynomials: Find/Quotient
The learner will be able to
determine the quotient of polynomials using appropriate techniques (monomial, divisor, long or synthetic division) or graphing tools.
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PS4: ALGEBRAIC PROBLEM SOLVING
The learner will be able to
use a variety of functions to model and solve problems.
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M.ALGII.4.1 Polynomial Equations: Solving
The learner will be able to
solve polynomial equations using the appropriate factoring techniques.
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M.ALGII.4.2 Quadratic Equations: Solve
The learner will be able to
solve quadratic equations using various methods including factoring, completing the square, the quadratic formula, and graphing tools. Analyze the nature of the roots of quadratic equations by using the discriminant and the relationship between roots and coefficients.
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M.ALGII.4.3 Quadratic Equations: Problems
The learner will be able to
solves problems using quadratics, such as problems involving motion and maximum/minimum values. Makes predictions from collected data using regression techniques.
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M.ALGII.4.4 Predictions: Regression Techniques
The learner will be able to
solve exponential and logarithmic equations, such as those involving growth, decay, and compound interest. Make predictions from collected data by applying regression techniques.
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M.ALGII.4.5 Nonlinear Equations: Solve
The learner will be able to
solve a problem using rational equations, including proportions, rate, and variation (direct, inverse or joint) problems.
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M.ALGII.4.6 Equations: Solve Rational
The learner will be able to
solve rational equations.
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M.ALGII.4.7 Strategies: Choose/Suitable
The learner will be able to
solve problems throughout this course that involves: selecting appropriate strategies, using estimation to predict computational results and judging reasonableness of outcomes.
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M.ALGII.4.8 Problem Solving: Relate
The learner will be able to
solve problems that relate concepts to other concepts and to practical applications using tools such as scientific or graphing calculators and computers.
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M.ALGII.4.9 Polynomials: Equations/Estimate
The learner will be able to
approximate real roots of polynomial equations by using calculators or computers.
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M.ALGII.4.10 Polynomials: Solve
The learner will be able to
apply the following theorems to polynomials equations: Remainder, Factor, Rational Root, and the Fundamental Theorem of Algebra.
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M.ALGII.4.11 Equation/Inequalities: Absolute Value
The learner will be able to
solve and graph linear inequalities in one variable, including compound inequalities and absolute value equation and inequalities.
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M.ALGII.4.12 Linear System of Equations
The learner will be able to
determine the number of solutions for a system of linear equations; recognize the system as consistent (dependent or independent) or inconsistent.
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M.ALGII.4.13 Linear System of Equations
The learner will be able to
solve a system of linear equations in two and three variables using a variety of methods. Graph systems of inequalities in two variables and determine the solution regions.
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й 2003 Cobb County School
District. All Rights Reserved
514 Glover Street | Marietta, Ga. 30060 | (770) 426-3300
Send your comments to Sue Brown
visitors since July 18, 2003
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