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Algebraic Connections Curriculum Map

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					                                                                 Curriculum Map: School___BHS________________
                                                                                   ALGEBRAIC CONNECTIONS

Algebraic Connections is designed for students who have successfully completed Algebra I (or its equivalent) and Geometry (or its equivalent). Algebraic Connections will build on a foundation of
previously taught Algebra and Geometry concepts, enlarge upon the development of each concept, and introduce new concepts. Students will be expected to evaluate data, interpret data, analyze linear
functions, write and solve equations and inequalities and their systems, and use algebraic, graphical, and numerical methods for analysis. Arkansas teachers are responsible for integrating technology in
the course work for Algebraic Connections.

Bryant School District                                                                                        Teacher__N. Clark______________
August 2006-May 2007                                                                                          Grade___Subject: Algebraic Connections
Time    Framework/SLE #                          How framework/SLE# was Activities/Strategies Assessment used                   Teacher
        Objectives/Skills                        taught?                                      other than the general            Notes/Comments
                                                 Connection with Textbook                     Assessments: Teacher made
                                                                                              test, Textbook assessment, Quiz,
                                                                                              Observation, Student modeling,
                                                                                              Performance assessments
                                                                                              (projects, open response writing,
                                                                                              log/journal, portfolio, student
                                                                                              created math problems)
           Strand: Probability and
           Statistics

           CONTENT STANDARD 1.
           Students will evaluate and
           interpret data, make
           predictions based on data,
           and apply basic
           understanding of probability
           to solve real-world problems.


           Strand: Linear Functions

           CONTENT STANDARD 2.
           Students will analyze linear
           functions by investigating
           rates of change, intercepts,
           and zeros.




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        Solving Equations and
        Inequalities

        CONTENT STANDARD 3.
        Students will write and solve,
        with and without
        appropriate technology,
        equations, inequalities,
        systems of
        equations and systems of
        inequalities.


        Strand: Nonlinear
        Functions

        CONTENT STANDARD 4.
        Students will use algebraic,
        graphical and numerical
        methods to analyze,
        compare, transform, and
        solve
        nonlinear equations
        (absolute value, quadratic,
        and exponential).
1       PS.1.AC.1                        Advanced Mathematics   Pages 742-754
        Apply counting techniques        textbook
        to determine the number of       Section 14.1-14.2
        outcomes
             tree diagram
             fundamental
                 Counting Principle
             permutations (with
                 and without
                 repetition)
             combinations




Page2
2                                          Advanced Mathematics           Coin toss game   Pages 755-760
                                           textbook                       Spinner game
        PS.1.AC.2                          Section 14.3                   Dice roll
        Conduct and interpret simple
        probability experiments using      Discovering Algebra textbook                    Pages 122-131
             manipulatives                Section 2.6-2.7
                 (spinners, dice, cards,
                 coins)
             simulations (using
                 random number
                 tables, graphing
                 calculators, or
                 computer software)


3                                          Advanced Mathematics                            Pages 755-769
        PS.1.AC.3                          textbook
        Compute and display                Section 14.3-14.4
        theoretical and experimental
        probability including the use      Discovering Algebra textbook                    Pages 123,131
        of Venn diagrams.                  Section 2.6
             simple
             complementary
             compound (mutually
                 exclusive, inclusive,
                 independent and
                 dependent events)

4                                          Advanced Mathematics                            Pages 770-776
                                           textbook
                                           Sections 14.5
        PS.1.AC.4
        Apply probability to real-
                                           Discovering Algebra textbook                    Pages 122-131
        world situations such as
                                           Section 2.6-2.7
        weather prediction, game
        theory, fair division, insurance
        tables, and election theory.




Page3
5                                         Discovering Algebra textbook   Pages 38-69
        PS.1.AC.5                         Section 1.1-1.7
        Interpret and evaluate, with
        and without appropriate
        technology, graphical and
        tabular data displays for
              consistency with the
                  data
              appropriateness of
                  type of graph or data
                  display
              scale
              overall message

6                                         Discovering Algebra textbook   Pages 139-179, 225-232
                                          Section 3.1-3.5, 4.7
        LF.2.AC.4
        Interpret the rate of change
        (slope) and intercepts within
        the context of everyday life
        (Ex. telephone charges based
        on base rate (y-intercept) plus
        rate per minute (slope))


7                                         Discovering Algebra textbook   Pages 190-198
                                          Section 4.2

        SEI.3.AC.3
        Solve linear formulas and
        literal equations for a
        specified variable




Page4
8                                         Discovering Algebra textbook   Pages 216-224
        LF.2.AC.7                         Section 4.6
        Write an equation given           Section 5.2-5.5                Pages 261-287
             two points
             a point and y-
                 intercept
             an x-intercept and y-
                 intercept
             a point and slope
             a table of data
             the graph of a line

9       SEI.3.AC.1                        Discovering Algebra textbook   Pages 190-198, 233-241, 276-283
        Solve, with and without           Section 4.2, 4.8,5.4
        appropriate technology, multi-
        step equations and inequalities
        with rational coefficients
        numerically, algebraically and
        graphically




10                                        Discovering Algebra textbook   Pages 251-260
                                          Section 5.1

        LF.2.AC.5
        Calculate the slope given
             two points
             a graph of a line
             an equation of a line



11                                        Discovering Algebra textbook   Pages 308-330
                                          Section 6.1-6.3
        SEI.3.AC.2
        Solve, with and without
        appropriate technology,
        systems of two linear
        equations and systems of two
        inequalities numerically,
        algebraically and graphically


Page5
12a                                        Discovering Algebra textbook   Pages 424-459
                                           Section 8.1-8.5
        LF.2.AC.3
        Determine the independent
        and dependent variables,
        domain and range of a relation
        from an algebraic expression,
        graph, set of ordered pairs, or
        table of data


12b                                        Discovering Algebra textbook   Pages 424-459
                                           Section 8.1-8.5
        NF.4.AC.4
        Determine the independent
        and dependent variables,
        domain and range of a relation
        from algebraic equations,
        graphs, sets of ordered pairs,
        or tables of data


13      LF.2.AC.1                          Discovering Algebra textbook   Pages 441-459
        Create, given a graph without      Section 8.3-8.5
        an explicit formula, a written
        or oral interpretation of the
        relationship between the
        independent and dependent
        variables




15                                         Discovering Algebra textbook   Pages 452-459
        NF.4.AC.5                          Section 8.5
        Identify and apply nonlinear
        functions to real world
        situations such as acceleration,
        area, volume, population,
        bacteria, compound interest,
        percent depreciation and
        appreciation, amortization,
        geometric sequences, etc.



Page6
16                                      Discovering Algebra textbook   Pages 452-459
                                        Section 8.5
        LF.2.AC.2
        Create, given a situation, a
        graph that models the
        relationship between the
        independent and dependent
        variables



17                                      Discovering Algebra textbook   Pages 483-491
                                        Section 9.2

        NF.4.AC.6
        Recognize function families
        including vertical shifts,
        horizontal shifts and
        reflections over the x-axis



18      NF.4.AC.1                       Discovering Algebra textbook   Pages 276-283, 560-565, 575
        Factor polynomials              Section 5.4, 10.6, 10.8
             greatest common
                 factor
             binominals
                 (difference of
                 squares)
             trinomials
             combinations of the
                 above
19                                      Discovering Algebra textbook   Pages 532-571
                                        Section 10.1-10.7
        NF.4.AC.3
        Solve, with and without
        appropriate technology,
        quadratic equations with real
        number solutions using
        factoring and the quadratic
        formula




Page7
20                                        Discovering Algebra textbook   Pages 583-587
                                          Section 11.1

        LF.2.AC.6
        Determine, using slope,
        whether a pair of lines are
        parallel, perpendicular, or
        neither



21                                        Discovering Algebra textbook   Pages 588-592, 598-603 611-616
                                          Section 11.2, 11.4, 11.6
        SEI.3.AC.4
        Use, with and without
        appropriate technology,
        coordinate geometry to
        represent and solve problems
        including midpoint, length of a
        line segment and Pythagorean
        Theorem

22                                        Discovering Algebra textbook   Pages 604-610
                                          Section 11.5


        NF.4.AC.2
        Simplify, add, subtract and
        multiply radical expressions




23      LF.2.AC.8                         Algebra 2 textbook             Pages 103-108
        Graph, with and without           Section 2.6
        appropriate technology,
        functions defined as piece-
        wise and step




Page8
24      SEI.3.AC.6                        Algebra 2 textbook             Pages 103-108
        Apply linear, piece-wise and      Section 2.6
        step functions to real world
        situations that involve a
        combination of rates,
        proportions and percents such
        as sales tax, simple interest,
        social security, constant
        depreciation and appreciation,
        arithmetic sequences, constant
        rate of change, income taxes,
        postage, utility bills,
        commission, and traffic tickets

25                                        Discovering Algebra textbook   Pages 593-597
        SEI.3.AC.5                        Section 11.3
        Determine and describe, with
        and without appropriate
        technology, the resulting
        change in the perimeter, area,
        and volume when one or more
        dimensions change (apply this
        idea in solving real world
        problems)




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