
Cobb County School District 
Mathematics (Updated July 2004) 
Mathematics  Algebra II 
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Goals and Descriptions 

PS1: NUMBER SENSE
The learner will be able to
represent, interpret, and compare real numbers.


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.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #22 and #23 

PS2: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to
apply the operations and properties of real numbers to solve problems.


M.ALGII.2.1 Real Numbers: Nth Roots/Real
The learner will be able to
determine real or imaginary nth roots of real numbers.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #18 


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.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #19 and #20 


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.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #3 


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.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
3.0 
Cobb County Schools 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #19 


M.ALGII.2.6 Exponents: Laws of Exponents
The learner will be able to
simplify expressions containing integral exponents using the laws of exponents.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #14 

PS3: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to
use functions to represent and analyze patterns and quantitative relationships.


M.ALGII.3.1 Radical: Solve/Equations
The learner will be able to
solve radical equations with one or two radical terms.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.5 
GA: Quality Core Curriculum, December 2000, Algebra II, #21 and #36 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
4.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #26 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Introduce 
1.5 
GA: Quality Core Curriculum, December 2000, Algebra II, #31 


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).
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #9 and #10 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #35 and #36 


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).
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #8 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
3.0 
Cobb County Schools 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #33 and #34 


M.ALGII.3.9 Expressions: Rational
The learner will be able to
simplify, multiply, divide, adds, and subtract, rational expressions, including dividing polynomials.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #15 


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).
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #6 and #13 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #28 

PS4: ALGEBRAIC PROBLEM SOLVING
The learner will be able to
use a variety of functions to model and solve problems.


M.ALGII.4.1 Polynomial Equations: Solving
The learner will be able to
solve polynomial equations using the appropriate factoring techniques.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
Cobb County Schools 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #24 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #27 


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.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
1.5 
GA: Quality Core Curriculum, December 2000, Algebra II, #27 and #37 


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.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #17 


M.ALGII.4.6 Equations: Solve Rational
The learner will be able to
solve rational equations.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #16 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
8.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #1 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
5.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #2 


M.ALGII.4.9 Polynomials: Equations/Estimate
The learner will be able to
approximate real roots of polynomial equations by using calculators or computers.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #30 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
4.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #29 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
3.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #5 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #11 


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.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Algebra II, #12 

2003 Cobb County School
District. All Rights Reserved
514 Glover Street  Marietta, Ga. 30060  (770) 4263300
Send your comments to Sue Brown
visitors since July 18, 2004
