Chalkboard


Mission Statement
Introduction
Credits
Ordering Info

Sequencing & Pacing Guide

Pre-requisite Skills Test

Algebra III Terms

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 III
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Goals and Descriptions

Priority Level:

High =      Mid =       Low =


Width of topic indicates suggested time to be allotted

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


Algebraic Concepts

PS1: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to use functions to represent and analyze patterns and quantitative relationships.
  
M.ALGIII.1.1 Sequences: Arithmetic/Geometric
The learner will be able to identifies arithmetic and geometric sequences, finds specified terms of such sequences, and determines the sequence given the first term and either the common difference or the common ratio.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #5
  
M.ALGIII.1.2 Series: Sum/Converge
The learner will be able to determine the sum of an infinite series that converge.
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #6
  
M.ALGIII.1.3 Series: Find Mean
The learner will be able to determine the arithmetic and geometric mean.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #7
  
M.ALGIII.1.4 Quadratic Equations: Solve
The learner will be able to solve quadratic equations which have real and imaginary roots by using methods such as completing the square, factoring, and the quadratic formula; uses calculators or computers to approximate and check solutions.
Bloom's Scope Hours Source
Application Master 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #16
  
M.ALGIII.1.5 Functions: Define/Graph
The learner will be able to define and graph the following types of functions: identity, constant, absolute value, step, greatest integer, polynomial, (including linear and quadratic), square root, and piecewise.
Bloom's Scope Hours Source
Application Master 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #17
Math Tool, http://rtt.pbs.org/rtt/interactives.cfm Click on RTT Quadratic Grapher
Online Resource:  Grapher
Online Resource: Quadratic Functions (general form)
Online Resource: Quadratic Functions (standard form)
Online Resource: Horizontal Shifting
Online Resource: Vertical Shifting
Online Resource: Horizontal Stretching and compression
Online Resource: Vertical Stretching and Compression
Online Resource: Explore graphs of functions
Online Resource:  Polynomial Functions in Factored Form
Online Resource:  Polynomial Functions
Online Resource:  Rational Functions
Online Resource:  Graphs of Basic Functions
Online Resource:  Absolute Value Functions
  
M.ALGIII.1.6 Function/Relation: Apply Concept
The learner will be able to apply the concepts of relation, function, domain, and range both graphically and algebraically.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #19
  
M.ALGIII.1.7 Compositions: Determine/2 Functions
The learner will be able to evaluate and determine the composite of two functions.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #20
  
M.ALGIII.1.8 Inverses: Domain/Range
The learner will be able to find the inverse of a function, its domain and range, and state whether the inverse is a function.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #21
  
M.ALGIII.1.9 Graphing Functions: Intercepts
The learner will be able to use symmetry, intercepts, and asymptotes to graph and interpret graphs of quadratic functions, higher degree polynomial functions, and rational functions using appropriate techniques and tools.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #23
Online Resource: Quadratic Functions (general form)
Online Resource: Quadratic Functions (standard form)
Online Resource: Explore graphs of functions
Online Resource:  Polynomial Functions in Factored Form
Online Resource:  Polynomial Functions
Online Resource:  Rational Functions
 
M.ALGIII.1.10 Conic Sections: Identify/Sketch
The learner will be able to identify and sketch the graphs for the parabola, circle, ellipse, and/or hyperbola with and without center at the origin.
Bloom's Scope Hours Source
Application Master 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #24
Website, http://mathworld.wolfram.com/ConicSection.html
Online Resource: Construct a Parabola
Online Resource: Equation of Parabola
Online Resource: Find Equation of Parabola
Online Resource: Equation of a Circle
Online Resource: Find Equation of a Circle
Online Resource: Equation of an Ellipse
Online Resource: Equation of Hyperbola
Online Resource: Graphs of Hyperbolic Functions
  

 

M.ALGIII.1.11 Series: Partial Sum
The learner will be able to find the sums of the first n terms of an arithmetic or geometric series.
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #6
  

 

M.ALGIII.1.12 Binomial Theorem: Expanding
The learner will be able to use Binomial Theorem to expand and simplify binomial expressions.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #8
  

 

M.ALGIII.1.13 Simplify Expressions: Rational Exponents
The learner will be able to simplify algebraic expressions involving rational exponents using appropriate tools.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #27
  

 

M.ALGIII.1.14 Trig. Ratios: Determine
The learner will be able to finds a trigonometric ratios for angles defined by a point (x,y).
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #38

 

M.ALGIII.1.15 Trigonometric Functions
The learner will be able to evaluate and graph trigonometric functions using period, phase shift, vertical shift, and amplitude.
Bloom's Scope Hours Source
Application Introduce 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #40
Website, http://www.studyworksonline.com/cda/explorations/main/0,,NAV2-23,00.html
Online Resource:  Graphs of Basic Trigonometric Functions
Online Resource:  Sine Function
Online Resource:  Cosine Function
Online Resource:  Tangent Function
Online Resource:  Secant Function
  

M.ALGIII.1.16 Graphing: Create/Transformations
The learner will be able to constructs an equation or graph that results from transformations (translation, dilation, reflection) using a parent equation or graph.
Bloom's Scope Hours Source
Application Master 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #18
Online Resource: Horizontal Shifting
Online Resource: Vertical Shifting
Online Resource: Horizontal Stretching and compression
Online Resource: Vertical Stretching and Compression
Online Resource: Explore graphs of functions
  

M.ALGIII.1.17 Inverses: Relationships/Inverse
The learner will be able to use appropriate tools to determine special relationships between functions and their inverses.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #22
Online Resource: Inverse Function Definition
Online Resource: Inverse Functions
  

M.ALGIII.1.18 Conic Sections: Recognize
The learner will be able to identify each conic section, including degenerates, as the intersection of a conical surface and a plane.
Bloom's Scope Hours Source
Knowledge Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #25
  

M.ALGIII.1.19 Logarithmic/Exponential:
The learner will be able to define, graph, and show the inverse relationship between logarithmic and exponential functions.
Bloom's Scope Hours Source
Application Reinforce 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #28
  
PS2: ALGEBRAIC PROBLEM SOLVING
The learner will be able to use a variety of functions to model and solve problems.
  
M.ALGIII.2.1 Problem Solving: Relate
The learner will be able to solves problems that relate concepts to practical applications and to other concepts using appropriate tools.
Bloom's Scope Hours Source
Application Develop 8.0 GA: Quality Core Curriculum, December 2000, Algebra III, #4
  
M.ALGIII.2.2 System of Equations: Solve
The learner will be able to solves systems of equations with two and three unknowns using a variety of methods, including technology.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #12
M.ALGIII.2.3 Linear Programming: Solve
The learner will be able to apply linear programming strategies to solve systems of inequalities (using feasible regions and critical points).
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #14
  
M.ALGIII.2.4 Conic Sections: Solve/Systems
The learner will be able to solve systems of equations involving conics and other types of equations.
Bloom's Scope Hours Source
Application Develop 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #26
  
M.ALGIII.2.5 Matrices: Recognize/Applications
The learner will be able to identify uses and applications of matrices in practical situations, such as use of arrays to organize data in computer programming or transformations.
Bloom's Scope Hours Source
Knowledge Develop 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #13
  
M.ALGIII.2.6 Exponents/Logarithmic: Solve
The learner will be able to solve logarithmic and exponential equations and problems.
Bloom's Scope Hours Source
Application Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #30
  
M.ALGIII.2.7 Logarithmic/Exponential
The learner will be able to solve problems involving application of exponential and logarithmic functions, using appropriate techniques and tools.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #31
M.ALGIII.2.8 Predictions: Regression Techniques
The learner will be able to make predictions from collected data using applying regression techniques.
Bloom's Scope Hours Source
Analysis Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #31

 

M.ALGIII.2.9 Strategies: Choose/Tools
The learner will be able to select appropriate approaches and tools.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #1
  

 

M.ALGIII.2.10 Problem Solving: Estimate
The learner will be able to use estimating strategies to predict computational results.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #1
  

 

M.ALGIII.2.11 Calculator: Approximation
The learner will be able to uses approximate numbers appropriately in calculator computations and recognizes error introduced by the use of approximate numbers.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #2
  

 

M.ALGIII.2.12 Solution: Accuracy
The learner will be able to find solutions to problems accurate to a given number of decimal places, and recognize situations such as measurement where approximations are appropriate.
Bloom's Scope Hours Source
Application Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #3
  

M.ALGIII.2.13 Strategies: Choose/Suitable
The learner will be able to solve problems throughout this course.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #1
  

M.ALGIII.2.14 Solution: Reasonableness
The learner will be able to judge reasonableness of results.
Bloom's Scope Hours Source
Evaluation Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #1
  
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Number and Operations

PS3: NUMBER SENSE
The learner will be able to represent, interpret, and compare real numbers.
  

 

M.ALGIII.3.1 Exponential/Logarithmic: Common
The learner will be able to determine values of common and natural logarithms and antilogs using a calculator.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #29
  
PS4: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to apply the operations and properties of real numbers to solve problems.
  
M.ALGIII.4.1 Matrices: Evaluate/Operations
The learner will be able to evaluate the results of matrix operations (such as addition, multiplication, and scalar operations) when defined.
Bloom's Scope Hours Source
Evaluation Reinforce 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #9
Online Resource: The Process of Matrix Multiplication
  
M.ALGIII.4.2 Matrices: Determinant/2x2/3x3
The learner will be able to evaluate the determinant for 2 by 2 and 3 by 3 matrices using appropriate methods.
Bloom's Scope Hours Source
Application Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #10
  

 

M.ALGIII.4.3 Matrices: Inverse
The learner will be able to determine the inverses of matrices, if it exists, for 2x2 and/or 3x3 cases.
Bloom's Scope Hours Source
Application Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #11
  

M.ALGIII.4.4 Complex Numbers: Define/Apply
The learner will be able to define and/or use the basic operations and properties of complex numbers.
Bloom's Scope Hours Source
Knowledge Reinforce 4.0 GA: Quality Core Curriculum, December 2000, Algebra III, #15
  
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Geometry

PS5: ATTRIBUTES AND UNITS
The learner will be able to select appropriate standard units for measuring.
  

 

M.ALGIII.5.1 Angle Measures: Degree/Radians
The learner will be able to converts measures of angles between radians and degrees.
Bloom's Scope Hours Source
Synthesis Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #33
  
PS6: FIGURES IN SPACE
The learner will be able to analyze properties of geometric shapes, develop related mathematical arguments, and solve related problems.
  
M.ALGIII.6.1 Trigonometric Functions: Evaluate
The learner will be able to use the calculator to evaluate trigonometric ratios for given angles in either degrees or radians and to find an angle when a trigonometric ratio is known.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #36 and #39
  
M.ALGIII.6.2 Trig. Ratios: Right Triangle
The learner will be able to solves problems involving applications of right triangle ratios.
Bloom's Scope Hours Source
Application Introduce 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #37
  

 

M.ALGIII.6.3 Trigonometric Functions: Define
The learner will be able to define the six trigonometric functions as both circular functions and ratios of side of right triangles, and shows relationships between these functions.
Bloom's Scope Hours Source
Analysis Master 3.0 GA: Quality Core Curriculum, December 2000, Algebra III, #34
  

M.ALGIII.6.4 Angle: Standard Position
The learner will be able to sketches an angle in standard position and determines the reference and coterminal angles.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #35
Online Resource: Angle in Trigonometry
  
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Data Analysis and Probability

PS7: DATA ORGANIZATION
The learner will be able to conduct investigations using statistical tools and display resulting data.
  

 

M.ALGIII.7.1 Data Management: Practical
The learner will be able to organize, summarize, characterize, and interpret data from practical situations using relevant sets by constructing tables, graphs, and charts including frequency distributions, histograms, line plots, stem-and-leaf plots, box plots, and scatter plots for bivariate data.
Bloom's Scope Hours Source
Synthesis Master 5.0 GA: Quality Core Curriculum, December 2000, Algebra III, #41 and #42
  
PS8: DATA ANALYSIS
The learner will be able to evaluate statistical studies and determine inferences that can be justified.
  

 

M.ALGIII.8.1 Statistics: Apply/Methods
The learner will be able to use statistical reasoning techniques appropriately and recognizes common misuses of statistics.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #43
  
PS9: PROBABILITY
The learner will be able to apply the laws of probability and counting principles in real world contexts.
  
M.ALGIII.9.1 Probability: Determine/Exclusive
The learner will be able to find the probability of mutually-exclusive events occurring.
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #46
  
M.ALGIII.9.2 Counting Methods: Counting
The learner will be able to apply fundamental counting principles.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #47
  
M.ALGIII.9.3 Combinations: Determine
The learner will be able to find the number of permutations and number of combinations of n things taken r at a time.
Bloom's Scope Hours Source
Application Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #49
  
M.ALGIII.9.4 Probability: Odd/Chance
The learner will be able to distinguish between odds, probabilities, and chance and finds the odds associated with given events.
Bloom's Scope Hours Source
Analysis Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #50
  

 

M.ALGIII.9.5 Probability: Sample Space
The learner will be able to finds the probability of an event by determining the sample space of all possible outcomes and the number of successful outcomes.
Bloom's Scope Hours Source
Application Develop 2.0 GA: Quality Core Curriculum, December 2000, Algebra III, #45
  

 

M.ALGIII.9.6 Permutations: Recognize
The learner will be able to identify and discriminate between permutations and combinations.
Bloom's Scope Hours Source
Knowledge Master 1.0 GA: Quality Core Curriculum, December 2000, Algebra III, #48
  

M.ALGIII.9.7 Probability Distribution:
The learner will be able to identify common statistical distributions such as normal distribution.
Bloom's Scope Hours Source
Knowledge Master 1.5 GA: Quality Core Curriculum, December 2000, Algebra III, #44
  
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