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

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 


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 


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 


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 


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 


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 


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 

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 


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 

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 

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