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					ALGEBRA II
CURRICULUM GUIDE




ROANOKE COUNTY SCHOOLS
      5937 Cove Road
   Roanoke, Virginia 24019


       Summer 2000
    Revised Summer 2001
                        Acknowledgements

We would like to thank the following Roanoke County educators.

           For their work in developing the curriculum guide:

                  Lynn Edmondson, Northside High School
                  Emily Pack, Cave Spring High School


           For their work in revision:

                  Linda Ankrom, Glenvar High School
                  Nancy Hoffman, Cave Spring High School




           Roanoke County School Division


           Dr. Linda Weber, Superintendent
           Dr. Lorraine Lange, Assistant Superintendent of Instruction
           Mr. Gary Basham, Associate Director of Instruction
           Mr. Martin Misicko, Coordinator of Mathematics
                           Table of Contents


                                                                   Page



Textbook Overview ………………………………………………………………………1


Comments.……………………………………………..……………………….…….…..3


Sequence/Pacing Suggestions …………………………………………………………...5


Correlation of Sections to SOLs.……………………………………………………..….7


Virginia Standards of Learning.…….………………………….……………………….21


SOL Check List.…………………………………………………..…………………....23


2000 SOL Released Items.…………………………………………..…………………25


Mathematics Standards of Learning Teacher Resource Guide………………...Appendix I


Resources.…………………..…………….………………………...…………Appendix II
   County Videos
   Outside Resources
   Supplementary Worksheets
                                  Textbook Overview
Course Title:        Algebra II

Course Text:         Glencoe Algebra 2, Integration, Application, Connections

Publisher:           McGraw Hill, 1998

Supplemental Materials:

Teacher’s Classroom Resources
    Teacher’s Wraparound Edition
    Investigations and Project Masters
    Tech Prep Applications Masters
    Science and Math Lab Manual
    Practice Masters
    Study Guide Masters
    Enrichment Masters
    Graphing Calculator Masters
    Graphing Calculators in the Mathematics Classroom
    Modeling Mathematics Masters
    Assessment and Evaluation Masters
    SAT/ACT Study Guide
    Block Scheduling Booklet
    Lesson Planning Guide
    Lesson Planning Guide Virginia Edition

                    Test/Review Software: One Copy Per School
                      Electronic Teacher Classroom Resources
Mindjogger Videoquiz
5-Minute Check Transparencies
Teaching Transparencies
Real World Transparencies
Answer Key Transparencies
Answer Key Masters
Solutions Manual
Multicultural Activity Masters
Interactive Math Tools
Virginia SOL Practice Worksheets for Algebra Two
Multimedia Applications CD ROM

Additional Resources
 Algebra Instructional Modules
 Teachers Resource Guide
 NCTM Curriculum Standards
                                              Comments

1. Please follow the suggested sequence and pacing for this course. Write in this guide any suggested
   improvements for subsequent years.

2. The timetable, at the end of second semester, has 19 days for cumulative review, SOL testing, exam
   review and exams. These days are also available to complete course work as needed.

3. The Virginia Mathematics Standards of Learning for Algebra II have been correlated with the
   sections in each chapter of this guide. The SOLs are also listed by section in the Virginia Lesson
   Planning Guide. The NCTM Standards listed throughout the materials are not up to date. A copy of
   the new NCTM Standards are in each school.

4. An updated copy of Mathematics Standards of Learning Teacher Resource Guide is located at the end
   of this guide. Note that the SOLs in the Resource Guide are grouped by topic. Under each topic the
   SOL is stated, followed by lists of Essential Understandings and Essential Knowledge and Skills.

5. Use of mixed reviews and spiraling on assessments is strongly recommended

6. A wide range of evaluation and assessment tools are provided. The student text furnishes mixed
   reviews, self tests, chapter highlights, study guides and assessments. At the end of the student text, a
   student handbook section provides additional assessments. The teacher wraparound edition has
   “Check for understanding” comments and replicas of 5-minute checks and other supplementary
   materials. The teacher’s resource package contains Assessment and Evaluation Masters and 5-minute
   check Transparencies. Additionally, each school is provided with Test/Review Software.

7. Since there is a such a wealth of supplementary materials for this text, each teacher is advised to be
   selective in their planning and use.

8.   Test/Review Software
    Time is needed to familiarize yourself with the capabilities of this software
    The disk is not needed to run the program
    Difficulties occur if you use more than one computer to edit, add, or change a single file (test,
     worksheet). To avoid this problem, use one computer to complete and print a single document.

9. A list of Internet Connections is on page T15 of the Teacher’s Wraparound Edition.

10. Students use calculators throughout this course. The textbook examples/explanations use the TI82.
    Please note that adjustments may be needed with the TI83.
11. At the beginning of each chapter in the Teacher’s Wraparound Edition, there are four pages of
    organizational aids.
     Page a: Lists lesson objectives with corresponding pages
     Page b: Lesson planning chart organized by section
         materials and manipulatives
         extra practice pages (student edition)
         list of black line masters
         applications
         interactive software
         teaching transparencies
     Page c: Provides other chapter resources, outside and assessment resources
     Page d: Samples of materials for enhancing the chapter


12. In the Teacher’s Resources package, Glencoe provides an additional supplement of multiple choice
    questions. The worksheets are Glencoe’s interpretation of Virginia SOLs. Use discretion when
    selecting problems from the worksheets.


13. Space is provided for your comments in the guide under each chapter outline.


14. The Mind Jogger Video quizzes are provided for each chapter. Each quiz has three rounds of 4 to 5
    questions. The “game” plan is easy to follow. However, we recommend that teams be established
    before beginning. This activity is good but should not be overused.

15. The Electronic Teacher Classroom Resources is provided for each teacher. The CD ROM is needed
    to run the program. This resource requires a password to use teacher mode. Directions on “How do
    I get started” and password information are found on the inside cover of the disk container. This CD
    has all the teacher’s classroom resources. We found this CD ROM most helpful.

16. The Algebra Instructional Modules, developed by the Virginia Department of Education, were sent to
    each Algebra teacher last year. Incorporate the Algebra II modules where appropriate. It is advised
    that you preview activities before using.
                    Sequence of Instruction and Pacing Suggestions
                                                                       Optional
Ch.   Page                         Topic                               Sections                  SOLs       Days

                                                    First Semester
 1     4a    Analyzing Equations and Inequalities                        1.5A         A2: 1,4,10,19          19
 2    62a    Graphing Linear Relations and Functions                     2.2B         A2: 8,9,13,19          22
 3    122a   Solving Systems of Linear Equations and                     3.7B         A2: 12,13              15
             Inequalities
 4    182a   Using Matrices                                            4.1A,4.7,      A2: 1,11,12            12
                                                                         4.7B,
 5    252a   Exploring Polynomials and Radical Expressions                            A2: 1,2,3,5,7,17       16

                                           Exam Reviews and Exams                                            6
                                           First Semester Total                                              90
                                                  Second Semester
 5    279    Exploring Polynomials and Radical Expressions                            A2: 1,2,3,5,7,17       24
 9    546a   Exploring Rational Expressions                            9.1A, 9.1      A.2: 2,7,20            11
 6    330a   Exploring Quadratic Functions and Inequalities           6.5, 6.8-6.9    A2: 5,6,7,8,9,10,18    10
 7    406a   Analyzing Conic Sections                                7.1,7.4A,7.6A    A2: 14,18              18
                                                                       ,7.6B,7.7A
 8    476a   Exploring Polynomial Functions                           8.2,8.5, 8.6,   A.2: 5,7,8,9,10,15     6
                                                                       8.7B, 8.8B
10    592a   Exploring Exponential and Logarithmic Functions            10.3-10.7     A.2: 8,9               4
11    644a   Investigating Sequences and Series                        11.5-11.8      A.2: 16                5
12    710a   Investigating Discrete Mathematics and Probability           All                                --
13    770a   Exploring Trigonometric Functions                            All                                --
             Cumulative Reviews, SOL Testing, Exam Reviews and Exams                                         12


 Second Semester Total                                                                                       90
CHAPTER 1 ANALYZING EQUATIONS AND INEQUALITIES

SECTION         TOPICS                                                SOL              DAYS      Supplement
                                                                                                 s Included
1-1A            GRAPHING TECHNOLOGY: EXPRESSIONS                      A2.1             1         WS 1.1A

1-1             EXPRESSIONS AND FORMULAS                              A2.1             1

1-2             PROPERTIES OF REAL NUMBERS                            A2.1             3         Ws 1.2
                                                                                                  A-F
                QUIZ                                                                   1

1-3             INTERGRATION: STATISTICS                              A2.19            1

1-4             SOLVING EQUATIONS                                     A2.10            2         WS 1.4
                                                                                                 See note
                TEST                                                                   1

1-6             SOLVING INEQUALITIES                                  A2.4             2         WS 1.6

1-5 R           REVIEW OF SETS                                                         2         WS 1.5R &
                                                                                                 See note
1-5             SOLVING ABSOLUTE VALUE EQUATIONS                      A2.4             1

                QUIZ                                                                   1

1-7             SOLVING ABSOLUTE VALUE INEQUALITIES                   A2.1, A2.4       2         WS 1.7

                TEST                                                                   1


                                                                                   TIME: 19 DAYS
COMMENTS:
        The TI-83 should be used extensively throughout the course.
        Put some MULTIPLE CHOICE SOL type questions on every test.
        1.2 You may find it useful to introduce complex numbers at this point. A work sheet is provided for either
        choice.

        1.3 Stem / Leaf and Line Plots are NOT in the Algebra II SOLs

        1.4   Algebra with Pizzazz by Steve & Janis Marcy, Creative Publications, 1996 page 72

        1.5R Teach some set terminology, including the connection between and/or and union/intersection.
             Pre-Algebra with Pizzazz by Steve & Janis Marcy, Creative Publications
                  1978 Edition pages DD50 – DD53             1996 Edition pages 226 - 229
CHAPTER 2 GRAPHING LINEAR RELATIONS AND FUNCTIONS
SECTION       TOPICS                                                SOL             DAYS        Supplements
                                                                                                Included

2-1           RELATIONS AND FUNCTIONS                               A2.8, A2.9      2           WS 2.1
8-7           COMPOSITION OF FUNCTION                               A2.9            1
              QUIZ                                                                  1
2-2           LINEAR EQUATIONS                                      A2.8            2
2-2A          GRAPHING TECHNOLOGY: LINEAR
              EQUATIONS
2-3           SLOPE                                                 A2.8            3           WS 2.3 A
                                                                                                WS 2.3 B
2-4           WRITING LINEAR EQUATIONS                              A2.8            2           Summary 2.4
                                                                                                WS 2.4
              REVIEW                                                                1

              TEST                                                                  1
2-5           INTEGRATION                                           A2.19           2
2-5B          GRAPHING TECHNOLOGY: LINES OF
              REGRESSION: STATISTICS
2-6           SPECIAL FUNCTIONS                                     A2.8            2

8-8           INVERSE FUNCTIONS AND RELATIONS                       A2.9            1

2-7           LINEAR INEQUALITIES                                   A2.13           2
2.7A          GRAPHING TECHNOLOGY: LINEAR
              INEQUALITIES
              REVIEW                                                                1
              TEST                                                                  1

                                                                              TIME: 22 DAYS

COMMENTS:
2-2 Content to include:   Definition of Linear Equation
                          Standard Form of a Linear Equation
                          Solve an equation for y (when possible)
                          Using TI-83 to set up a table of values
                          Graph on paper and on calculator

2-3 Content to include:    Determine Slope: Given a graph, 2 points, any form of the equation
                           Classify Slope as Positive / Negative / Zero / Undefined
                           Review Slope-intercept Form (Definition on page 88)
                           Do Parallel / Perpendicular at end of Section 2-4
2-4 Include Parallel / Perpendicular at end of this section
Use of TI-83 highly recommended, graphing by hand not required in SOLs
    See 2000 SOL Released Items #46, 47,48, 49, 50
2-6 Include Identity function
CHAPTER 3 SOLVING SYSTEMS OF LINEAR EQUATIONS AND
          INEQUALITIES
SECTION        TOPICS                                                   SOL               DAYS      Supplements
                                                                                                    Included

3-1            GRAPHING SYSTEMS OF EQUATIONS                            A2.13             1         Summary 3.1


3-1A           GRAPHING TECHNOLOGY: SYSTEMS OF                          A2.13             1
               EQUATIONS

3-2            SOLVING SYSTEMS OF EQUATIONS                             A2.12             2         WS 3.2 A
               ALGEBRAICALLY                                                                        WS 3.2 B

               QUIZ                                                                       1


3-3            CRAMER'S RULE                                            A2.12             2


3-4            GRAPHING SYSTEMS OF INEQUALITIES                         A2.12, A2.13      2
3-4 A          GRAPHING TECHNOLOGY: SYSTEMS OF
               LINEAR INEQUALITIES
3-5            LINEAR PROGRAMMING                                       A2.13             3         WS 3.6 A-E
3-6            APPLICATIONS OF LINEAR PROGRAMMING

3-7            SOLVING SYSTEMS OF EQUATIONS IN                          A2.12             2
               THREE VARIABLES

               TEST                                                                       1



                                                                                 TIME: 15 DAYS


COMMENTS:

3-1 Additional practice found in Algebra with Pizzazz by Steve & Janis Marcy, Creative Publications

3-2 Additional word problems provided in Supplementary Materials

3-7 It is suggested that Cramer’s Rule not be used at this point to solve systems with more than 2 variables.
          3 x 3 determinants are discussed in Chapter 5
CHAPTER 4 USING MATRICES
SECTION     TOPICS                                                 SOL              DAYS   Supplements
                                                                                           Included
4-1         AN INTRODUCTION TO MATRICES                            A2.11            1


4-2         ADDING AND SUBTRACTING MATRICES                        A2.11            2


4-3         MULTIPLYING MATRICES                                   A2.11            2


            QUIZ                                                                    1


4-4         MATRICES AND DETERMINANTS                              A2.11            2


4-5         IDENTITY AND INVERSE MATRICES                          A2.1, A2.12      1


3-3         CRAMER'S RULE                                          A2.12            1
            (with 3 variables)

4-6         USING MATRICES TO SOLVE SYSTEMS OF                     A2.12            1
            EQUATIONS

            TEST                                                                    1



                                                                             TIME: 12 DAYS

COMMENTS:

4-1   Newsstands have Logic Puzzle Magazines
4-2   First day by hand, second day using calculator
      Application: Translation matrix, (students lack percent probability background)
4-4   By determinants, diagonals, minors, and calculator
4-5   Be able to do the inverse of a 2 x 2 by hand
3-3   Use the calculator to do 3 x 3 determinants
CHAPTER 5 EXPLORING POLYNOMIALS AND RADICAL
          EXPRESSIONS


SECTION      TOPICS                                              SOL             DAYS      Supplements
                                                                                           Included
5-1          MONOMIALS                                           A2.1            3

5-2          POLYNOMIALS                                         A2.1            3         5.2

5-3          DIVIDING POLYNOMIALS                                A2.2            3

             TEST                                                                1

5-4          FACTORING                                           A2.5            5
                                                                                                  See
                                                                                                 notes
             QUIZ                                                                1

                                 FIRST SEMESTER EXAMS

            START OF SECOND SEMESTER
5-4         FACTORING                                             A2.5               5
                                                                                                    See
                  START OF SECOND SEMESTER
                                                                                                   notes
            REVIEW                                                                   1

            TEST                                                                     1

5-5         ROOTS OF REAL NUMBERS                                 A2.1               1       Summary 5.5

5-6         RADICAL EXPRESSIONS                                   A2.2, A2.3         5       WS 5.6 A - C

5-7         RATIONAL EXPONENTS                                    A2.2, A2.3         2

5-8         SOLVING RADICAL EQUATIONS AND                         A2.2, A2.3,        3       WS 5.8 A - B
            INEQUALITIES                                          A2.7
            TEST                                                                     1

5-9         COMPLEX NUMBERS                                       A2.1, A2.2,        4       Summary 5.9,
5-10        SIMPLIFYING EXPRESSIONS CONTAINING                    A2.3, A2.17                Summary 5.9A
            COMPLEX NUMBERS                                                                  WS 5.9 A-E
            TEST                                                                     1


                                                                            TIME: 40 DAYS
COMMENTS:

5.4    Get as far as possible into factoring before Exams Use Worksheets as needed to supplement
WS 5.4 A-D flow  GCF, Grouping, Master Product, Special binomial. Perfect square
  trinomials are mixed into 5.4 D
       WS 5.4 E – H flow  GCF, Patterns, Trinomials, Special techniques
      Each has a Summary and an explanation of the Master Product Method is included


                               GO TO CHAPTER 9
CHAPTER 9 EXPLORING RATIONAL EXPRESSIONS

SECTION     TOPICS                                             SOL             DAYS    Supplements
                                                                                       Included

9-2         DIRECT, INVERSE AND JOINT VARIATION                A2.20           1


9-3         MULTIPLYING AND DIVIDING RATIONAL                  A2.2            3       WS 9.3
            EXPRESSIONS                                                                 A-C
9-4         ADDING AND SUBTRACTING RATIONAL                    A2.2            3       WS 9.4
            EXPRESSIONS                                                                 A-C
9-5         SOLVING RATIONAL EQUATIONS AND                     A2.7            3       WS 9.5
            INEQUALITIES                                                                A-C
            TEST                                                               1



                                                                         TIME: 11 DAYS

COMMENTS:

      9.3 – 9.5       Summary provided
CHAPTER 6 EXPLORING QUADRATIC FUNCTIONS AND
          INEQUALITIES

SECTION      TOPICS                             SOL             DAYS   Supplements
                                                                       Included

6-1          SOLVING QUADRATIC EQUATIONS BY     A2.6, A2.7,     2
             GRAPHING                           A2.8, A2.9,
6-1 A        GRAPHING TECHNOLOGY: QUADRATIC     A2.10
             FUNCTIONS
6-2          SOLVING QUADRATIC EQUATIONS BY     A2.5            1
             FACTORING
6-3          COMPLETING THE SQUARE              A2.5            2

             QUIZ                                               1

6-4          QUADRATIC FORMULA AND              A2.6,A2.7       1      WS 6.4
             DISCRIMINANT

6-6A         GRAPHING TECHNOLOGY: FAMILIES OF   A2.18           1
             PARABOLAS

6-7A         GRAPHING TECHNOLOGY: QUADRATIC     A2.18           1
             INEQUALITIES

6-7          GRAPHING AND SOLVING QUADRATIC     A2.18
             INEQUALITIES
             TEST                                               1



                                                            TIME: 10 DAYS

COMMENTS:

6-6     Will be done in 7-2.

6.7     Can be included if time allows.
CHAPTER 7 ANALYZING CONIC SECTIONS

SECTION    TOPICS                                           SOL         DAYS   Supplements
                                                                               Included

7-2        PARABOLAS                                        A2.18       4      Text: 6-6
                                                                               WS 7.2 A-B

7-3        CIRCLES                                          A2.18       2

           QUIZ                                                         1

7-4        ELLIPSES                                         A2.18       3

7-5        HYPERBOLAS                                       A2.18       3


7-6        CONIC SECTIONS                                   A2.18       2      WS 7.6
                                                                                A-B

7-7        SOLVING QUADRATIC SYSTEMS                        A2.14       2


           TEST                                                         1


                                                                    TIME: 18 DAYS


COMMENTS:

7-2   Additional problems can be found in 6-6, Page 373

7-3   There is a built-in program in the TI-83
               2nd DRAW 9: Data is entered as ( h, k, r )
               ZOOM 5: SQUARE to scale axes correctly
CHAPTER 8 EXPLORING POLYNOMIAL FUNCTIONS

SECTION       TOPICS                                              SOL             DAYS    Supplements
                                                                                          Included

8-1           POLYNOMIAL FUNCTIONS                                A2.8, A2.9,             Mini Unit
                                                                  A2.15

8-3A          GRAPHING TECHNOLOGY: POLYNOMIAL                     A2.7, A2.8,             Mini Unit
              FUNCTIONS                                           A2.9, A2.10
8-3           GRAPHING POLYNOMIAL FUNCTIONS AND                   A2.7, A2.8,             Mini Unit
              APPROXIMATING ZEROES                                A2.9, A2.10
8-3B          GRAPHING TECHNOLOGY: MODELING                       A2.7, A2.8,             Mini Unit
              REAL-WORLD DATA                                     A2.9, A2.10
8-4           ROOTS AND ZEROS                                     A2.9, A2.10             Mini Unit

8-7           COMPOSITION OF FUNCTIONS                            A2.9            See
                                                                                  Ch. 2

8-8           INVERSE FUNCTIONS AND RELATIONS                     A2.9            See
                                                                                  Ch. 2



                                                                              TIME: 6 DAYS

COMMENTS:

There is a Mini-Unit on Polynomials provided in the Supplementary Materials
CHAPTER 10 EXPLORING EXPONENTIAL AND LOGARITHMIC
           FUNCTIONS

SECTION     TOPICS                           SOL        DAYS   Supplements
                                                               Included

10-1        REAL EXPONENTS AND EXPONENTIAL   A2.8       2
            FUNCTIONS

10-2        LOGARITHMS AND LOGARITHMIC       A2.9       1
            FUNCTIONS
            QUIZ                                        1



                                                    TIME: 4 DAYS

COMMENTS:
CHAPTER 11 INVESTIGATING SEQUENCES AND SERIES

SECTION      TOPICS                            SOL         DAYS   Supplements
                                                                  Included

             GRAPHING TECHNOLOGY: ARITHMETIC   A2.16
             SEQUENCES

11-1         ARITHMETIC SEQUENCES              A2.16

11-1A
11-2         ARITHMETIC SERIES                 A2.16

11-3         GEOMETRIC SEQUENCES               A2.16

11-4         GEOMETRIC SERIES                  A2.16



                                                       TIME: 5 DAYS

COMMENTS:


        Check the SOLs
                                    Mathematics Standards of Learning


                                                Algebra II
The standards below outline the content for a one-year course in Algebra II. Students enrolled in Algebra
II are assumed to have mastered those concepts outlined in the Algebra I standards. A thorough
treatment of advanced algebraic concepts is provided through the study of functions, polynomials, rational
expressions, complex numbers, matrices, and sequences and series. Emphasis should be placed on
practical applications and modeling throughout the course of study. Oral and written communication
concerning the language of algebra, logic of procedures, and interpretation of results also should
permeate the course.
These standards include a transformational approach to graphing functions. Transformational graphing
uses translation, reflection, dilation, and rotation to generate a "family of graphs" from a given graph and
builds a strong connection between algebraic and graphic representations of functions. Students will vary
the coefficients and constants of an equation, observe the changes in the graph of the equation, and
make generalizations that can be applied to many graphs.

Graphing utilities (graphing calculators or computer graphing simulators) and spreadsheets will be used
by students and teachers. Graphing utilities enhance the understanding of realistic applications through
mathematical modeling and aid in the investigation and study of functions and their inverses. They also
provide an effective tool for solving/verifying equations and inequalities. Any other available technology
that will enhance student learning should be used.



AII.1 The student will identify field properties, axioms of equality and inequality, and properties of order
      that are valid for the set of real numbers and its subsets, complex numbers, and matrices.
AII.2 The student will add, subtract, multiply, divide, and simplify rational expressions, including complex
      fractions.
AII.3 The student will
        add, subtract, multiply, divide, and simplify radical expressions containing positive rational
        numbers and variables and expressions containing rational exponents; and
        write radical expressions as expressions containing rational exponents, and vice versa.
AII.4 The student will solve absolute value equations and inequalities graphically and algebraically.
      Graphing calculators will be used both as a primary method of solution and to verify algebraic
      solutions.
AII.5 The student will identify and factor completely polynomials representing the difference of squares,
      perfect square trinomials, the sum and difference of cubes, and general trinomials.
AII.6 The student will select, justify, and apply a technique to solve a quadratic equation over the set of
      complex numbers. Graphing calculators will be used for solving and confirming algebraic solutions.
AII.7 The student will solve equations containing rational expressions and equations containing radical
      expressions algebraically and graphically. Graphing calculators will be used for solving and
      confirming algebraic solutions.
AII.8 The student will recognize multiple representations of functions (linear, quadratic, absolute value,
      step, and exponential functions) and convert between a graph, a table, and symbolic form. A
      transformational approach to graphing will be employed through the use of graphing calculators.
AII.9 The student will find the domain, range, zeros and inverse of a function, the value of a function for
      a given element in its domain, and the composition of multiple functions. Functions will include
      those that have domains and ranges that are limited and/or discontinuous. The graphing calculator
      will be used as a tool to assist in investigation of functions, including exponential and logarithmic.
AII.10 The student will investigate and describe the relationships between the solution of an equation,
       zero of a function, x-intercept of a graph, and factors of a polynomial expression through the use of
       graphs.
AII.11 The student will use matrix multiplication to solve practical problems. Graphing calculators or
       computer programs with matrix capabilities will be used to find the product.
AII.12 The student will represent problem situations with a system of linear equations and solve the
       system using the inverse matrix method. Graphing calculators or computer programs with matrix
       capability will be used to perform computations.
AII.13 The student will solve systems of linear inequalities and linear programming problems and
       describe the results both orally and in writing. A graphing calculator will be used to facilitate
       solutions to linear programming problems.
AII.14 The student will solve nonlinear systems of equations, including linear-quadratic and quadratic-
       quadratic, algebraically and graphically. The graphing calculator will be used as a tool to visualize
       graphs and predict the number of solutions.
AII.15 The student will recognize the general shape of polynomial functions, locate the zeros, sketch the
       graphs, and verify graphical solutions algebraically. The graphing calculator will be used as a tool
       to investigate the shape and behavior of polynomial functions.
AII.16 The student will investigate and apply the properties of arithmetic and geometric sequences and
       series to solve problems, including writing the first n terms, finding the nth term, and evaluating
       summation formulas. Notation will include sigma and 'a sub n'.
AII.17 The student will perform operations on complex numbers and express the results in simplest form.
       Simplifying results will involve using patterns of the powers of i.
AII.18 The student will identify conic sections (circle, ellipse, parabola, and hyperbola) from his/her
       equations. Given the equations in (h, k) form, students will sketch graphs of conic sections, using
       transformations.
AII.19 The student will collect and analyze data to make predictions, write equations, and solve practical
       problems. Graphing calculators will be used to investigate scatterplots to determine the equation
       for a curve of best fit.
AII.20 The student will identify, create, and solve practical problems involving a combination of direct and
       inverse variations.
                                           Outside Resources




http://www.glencoe.com/sec/math

For help with TI-83
http://education.ti.com

To download TI-83 key fonts
http://education.ti.com/product/tech/83/down/download.html

UVa Curry School of Education
http://teach.virginia.edu/k12algebra

Algebra with Pizzazz by Steve & Janis Marcy, Creative Publications, 1996
http://www.mimosausa.com

Cooperative Learning & Mathematics, Dina Kushnir, Kagan Publishing, 2001
www.KaganOnline.com

				
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