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Mission Statement
Introduction
Credits
Ordering Info

Sequencing & Pacing Guide

Pre-requisite Skills Test

Vertical Alignment

Skills Packets

Vocabulary

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© 2003 by Cobb County School District and Scantron Corporation.
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Cobb County School District
Mathematics (Updated July 2004)
Mathematics - Algebra II
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Goals and Descriptions

Priority Level:

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Advanced Content Standards

Algebraic Concepts | Number and Operations
 


Number and Operations

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
  Online Resource: The Process of Matrix Multiplication
 

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
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Algebraic Concepts

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
Online Resource: Inverse Function Definition
Online Resource: Inverse Functions
  
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
Online Resource: Grapher
Online Resource: Quadratic Functions (general form)
Online Resource: Quadratic Functions (standard form)
Online Resource: Polynomial Functions in Factored Form
Online Resource: Polynomial Functions
Online Resource: Rational Functions
Online Resource: Definition of the Absolute Value
Online Resource: Slope of a Line
Online Resource: General Equation of a Line: ax + by = c
Online Resource: Slope Intercept Form of the Equation of a Line
Online Resource: Find Equation of a Line
Online Resource: Graphs of Basic Functions
Online Resource: Absolute Value Functions
Online Resource: Explore graphs of functions
Online Resource: Put the Heart into Mathematics: Cardiac Output, Rates of Change and Accumulation
Online Resource: Building Connections among Classes of Polynomial Functions
  

 

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
 
Exemplary Unit, Solutions of Quadratics
  

 

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
 
 
Exemplary Unit, Solutions of Quadratics
  

 

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
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