Alg 2 1st 9 Weeks - DOC

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					Recurring Themes Throughout the Course
CLE 3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
CLE 3103.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness
of the solution.
CLE 3103.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of
reasoning, logic, and intuition.
CLE 3103.1.4 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model
mathematical ideas, and to communicate solution strategies.
CLE 3103.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting
the solutions, mathematical ideas, and communication.
CLE 3103.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between
mathematics and the real world.
CLE 3103.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.
CLE 3103.2.4 Understand the capabilities and limitations of technology when performing operations, graphing, and solving equations involving complex numbers.
     Checks for                       State Performance
    Understanding                         Indicators                           Assessments                          Instructional                        Connections
3103.1.5 Determine the accuracy      SPI 3103.1.4 Use mathematical                                            A classroom set of TI-              School-to-career Masters
and reliability of a mathematical    language, symbols, definitions,                                                                    
model.                               proofs and counterexamples                                               84s or TI-spires.                   or resource kit
                                     correctly and precisely to
3103.1.9 Translate the syntax of     effectively communicate                                         has several        Science and Mathematics Lab
technology to appropriate            reasoning in the process of                                              worksheets for various topics       Manual (Glencoe Resource Kit)
mathematical notation for non-       solving problems via
linear and transcendental            mathematical modeling with                                           
functions.                           both linear and non-linear                                                     c/math/algebra/algebra2/al
                                     functions.                                                                     gebra2_05/extra_examples
3103.1.10 Interpret the results of                                                                                  /index.php4/tn
mathematical modeling in             SPI 3103.1.1 Move flexibly
various contexts to answer           between multiple representations                                               http://www.regentsprep.or
questions.                           (contextual, physical, written,                                                g/Regents/math/ALGEBR
                                     verbal, conic/pictorial, graphical,                                            A/math-
3103.1.1 Create and analyze          tabular, and symbolic) of non-                                                 ALGEBRA.htm#Equations
scatter-plots of non-linear and      linear and transcendental                                                      _and_Inequalities__
transcendental functions.            functions to solve problems, to
                                     model mathematical ideas, and to                                     
3103.1.2 Compare and contrast        communicate solution strategies.                                               cationportal/activityexchan
sampling techniques and identify                                                                                    ge/
the best technique for a given       SPI 3103.1.2 Recognize and
situation.                           describe errors in data collection                                             http://glencoe.mcgraw-
                                     and analysis as well as                                              

3103.1.4 Identify the weaknesses    identifying representations of            student_view0/chapter7/les
of calculators and other            data as being accurate or                 son7/personal_tutor.html
technologies in representing        misleading.
nonlinear data, such as graphs                                                http://glencoe.mcgraw-
approaching vertical asymptotes,    SPI 3103.1.3 Use technology     
and use alternative techniques to   tools to identify and describe            student_view0/chapter7/les
identify these issues and           patterns in data using non-linear         son1/personal_tutor.html
correctly solve problems.           and transcendental functions that
                                    approximate data as well as     
3103.1.3 Use calculators to         using those functions to solve            m/modules/
identify regression equations for   contextual problems.
nonlinear data.                                                               http://www.onlinemathlear
3103.1.5 Determine the accuracy
and reliability of a mathematical                                             http://teachers.henrico.k12.
3103.1.9 Translate the syntax of
technology to appropriate                                           
mathematical notation for non-
linear and transcendental                                           
functions.                                                                    /math/PMa12/index.html

                                                                        Online Assessment with instant

                                                                        Scavenger Hunt:
                                                                        Tool to find resources, located in
                                                                        each chapter of Glencoe Algebra

                                                                        Reading to Learn Mathematics:
                                                                        Vocabulary for each chapter of
                                                                        Glencoe Algebra 2 (activity

                                                                        Reading & Writing in the
                                                                        Mathematics Classroom
                                                                        (Glencoe Resource Kit)


                                  Online Algebra 2 Lessons:
                                  Teaching Mathematics with
                                  Foldables, Dinah Zike

                                  Resource CDs in kit: Alge2Pass
                                  Tutorials, Electronic Text Book,
                                  Worksheets and Enrichment

                                  Vocabulary Help:

CLE 3103.2.4            
3103.2.11 Understand the          errors.html
capabilities and limitations of
technology. Make estimations
without a calculator to detect
potential errors.

Course: Algebra 2                                                         1st Nine Weeks                                                 Curriculum Guide

Unit 1: Characteristics of Functions                                            Estimated Time: 4 Weeks
CLE 3103.3.2 Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations.
CLE 3103.3.3 Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.
CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent,
interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.
Essential Questions:
How do you use the characteristics of each family of functions to distinguish between absolute value, step, piece-wise, linear, or quadratic functions?
How would you determine the domain and range of a relation and how do they relate to the relation's inverse?
What methods would you use to solve contextual problems involving 2 and 3-variable systems of linear equations and inequalities?
Unit Academic Vocabulary:
Inverse of a relation, inverse function, piece-wise function, step function
Prerequisite Skills: Graph linear equations, solve linear equations
  Checks for              State
 Understanding       Performance Assessments                                                   Instructional Resources                                    Connections
CLE 3103.3.2                   SPI 3103.3.5 Describe the                             Domain Representations Activity
3103.3.3 Determine and         domain and range of            Daily formative
graph the inverse of a         functions and articulate                              21                                                          Cell Phone Plans (Step Functions)
function with and without      restrictions imposed either
                                                                                                                                                 Finance: Graphing Inequalities related to
technology.                    by the operations or by the    Unit test              Graphing Piecewise Functions(Calc):                         dividend earnings, minimum projections,
3103.3.4 Analyze the           contextual situations                                 share values or other related economics
effect of changing various     which the functions            School-based                                                                       topics
parameters on functions        represent.                     common                 Function Transformation Activities (Calc):
and their graphs.                                             assessments                1.       ACT Standards:
3103.3.5 Graph piece-wise       SPI 3103.3.10 Identify                                        tyexchange/                     Read tables and graphs
and step functions.            and/or graph a variety of      District Benchmark                                                                         Manipulate data from graphs
3103.3.11 Describe and         functions and their                                                                                                       Solve real-world problems
                                                              Assessment?                 2.            using first-degree equations
articulate the                 translations                                                     tyexchange/                  Write equations and
characteristics and
                                                                                                                                                          inequalities that require
parameters of a parent         SPI 3103.3.7 Identify                                                                                                      planning, manipulating, and/or
function.                      whether a function has an                             Quadratic Function Transformations (Calc):
                               inverse, whether two                                                                                                      Solve simple absolute value
                               functions are inverses of                             e/
                               each other, and/or explain                                                                                                Analyze and draw conclusions
                               why their graphs are                                  How to Find an Inverse (TI)                                          based on information from
                               reflections over the line y                               graphs in the coordinate plane
                               = x.                                                  e/                                       Determine when an expression
                                                                                                                                                          is undefined

CLE 3103.3.3                  SPI 3103.3.8 Solve             Escape from the Tomb (Answers the question “When          Biology/Chemistry applications with
3103.3.8 Solve a three by     systems of three linear        am I ever going to use systems of equations?”             Linear Programming
three system of linear        equations in three   
equations algebraically and   variables.                     98
by using inverse matrices
and determinants with and     SPI 3103.3.9 Graph the         Talk or Text (Application of Systems)
without technology.           solution set of two or three
3103.3.18 Solve compound      linear or quadratic            80
inequalities involving        inequalities.
disjunction and                                              Matrix Operations, Solving (Not Cramer's, Calc):
conjunction and linear                             
inequalities containing                                      ices.htm
absolute values.
3103.3.19 Solve linear                                       Cramer's Rule:
programming problems.                              

                                                             Linear Programming:

                                                             Systems of Linear Equations:

                                                             Linear Programming—Dirt Bike Dilemma

CLE 3103.3.5                  SPI 3103.3.12 Interpret        Contextual Quadratic Project:                             Social Studies
                              graphs that depict real-
                              world phenomena.               ebra2_05/webquest/unit2/webquest.php4/ny

                              SPI 3103.3.13 Solve
                              contextual problems using
                              quadratic, rational, radical
                              and exponential equations,
                              finite geometric series or
                              systems of equations.

Course: Algebra 2                                                   1st Nine Weeks                                                Curriculum Guide

Unit 2: Algebraic Operations                                               Estimated Time: 4 Weeks
CLE 3103.3.1 Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.
CLE 3103.3.5 Use mathematical models involving equations and systems of equations to represent,
interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.
Essential Questions:
How would you determine that a polynomial has been completely factored?
How do you properly simplify fractions that include radicals?
Unit Vocabulary:
complete the square, rational function
Prerequisite Skills: operations on rational numbers, properties of exponents, factor polynomials
   Checks for             State
 Understanding Performance Assessments                                    Instructional Resources                                                    Connections
CLE 3103.3.1                    SPI 3103.3.1 Add,       Daily formative           Polynomial operations:                             Cost Analyst Career Connection: Production Costs
3103.3.1 Perform operations     subtract and multiply   assessments           and Factors
on algebraic expressions and    polynomials; divide a                             gebra2/5-1.htm
                                                                                                                                     Medicine: Estimating populations during epidemics
justify the procedures.         polynomial by a lower   Unit test
                                                                                                                                     with equations
3103.3.21 Factor                degree polynomial.                                Polynomial Modeling with Algebra Tiles
polynomials using a variety                             School-based common                                                          Business
of methods including the        SPI 3103.3.3 Add,       assessments               Use graphing calculator to compare factored
factor theorem, synthetic       subtract, multiply,                               and un-factored forms to check for accuracy        Entertainment
division, long division, sums   divide and simplify     District Benchmark
and differences of cubes,       rational expressions    Assessment?               Factoring/Multiplying Polynomials                  ACT Standards:
and grouping.                   including those with                              Activity/Game                                              Find and use the least common multiple
                                rational and negative                                     Work with numerical factors
                                exponents.                                        LGEBRA/AV3/GridPoly.htm                                    Work with scientific notation
                                                                                                                                             Work with squares and square roots of
                                                                                                                                             Work with problems involving positive
                                                                                                                                              integer exponents
                                                                                                                                             Work with cubes and cube roots of
                                                                                                                                             Determine when an expression is
                                                                                                                                             Add, subtract, and multiply polynomials
                                                                                                                                             Draw conclusions based on number
                                                                                                                                              concepts, algebraic properties, and/or
                                                                                                                                              relationships between expressions and

                                                                                                      Write expressions that require planning
                                                                                                       and/or manipulating to accurately model a

                        SPI 3103.3.12           Interpreting Graphs (with or without Tech):   Economics
CLE 3103.3.5            Interpret graphs that
3103.3.6 Simplify       depict real-world       gebra2/algebra2_05/usa_today/index.php4/n     Social Studies
expressions and solve   phenomena.              y
equations containing


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