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Algebra Functions and Data Analysis Curriculum Map 2012

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Algebra Functions and Data Analysis Curriculum Map 2012 Powered By Docstoc
					                                                         Curriculum Overview

           A                             B                          C
 1
 2     Chapter 1                  Tools of Algebra                  12
 3     Chapter 2                      Functions                     11
 4     Chapter 3                   Linear Systems                   9
 5                                  Benchmark 1                     2
 6     Chapter 5        Quadratic Equations and Functions           16
 7   Chapter 7 and 8   Radical, exponential and log Functions       10
 8                                  Benchmark 2                     2
 9      Chapter 9                Rational Functions                 7
10     Chapter 12            Probability and Statistics             12
11       Review                                                     2
12     SOL testing                                                  5
13   Expedited days                                                 2
14        Total                                                     90
                                                                       AFDA Chapter 1



                                                                                                                                                  Assessments
                          VA Alg II   Suggested Essential Questions                                                               Instructional
 Organizing                                                                      Essential Skills and Understanding                                (including
                            SOL         Pacing    and Vocabulary                                                                   Resources
  Strand       AFDA SOL                                                                                                                            Mastery)
                                                                       Comm, assoc, identity, inverse, distributive, reflexive,
                                                                      symmetric, transitive, substitution, addition and mult of
                                                                         equality and inequality. Natural, whole, integer,
Expressions                                                             rational, irrational, real, complex, pure imaginary;
   and                                             number types/        opposite and reciprocal of a number, number lines,
operations                old A2.1        1          properties                           compare numbers;                            1.1
Expressions
   and                                                evaluate               evaluate expressions, combine like terms
operations                old A2.1        1          expressions                                                                      1.2

 Equations
    and                                                                Solve linear equations including literal equations; set
Inequalities                A1.4          2       linear equations              up equation to solve a word problem                   1.3

 Equations
    and                                                               Solve linear inequalities; include compound inequalities
Inequalities                A1.4          2       linear inequalities            and their graphs on a number line                    1.4
Expressions
    and                                                                  Review exponent rules: product rule, power rule,
 operations                 A1.2          2        Exponent Rules                     negative exponents                              supp
Expressions
    and                                              Polynomial
 operations                 A1.2          2          Operations                 Add, Subtract, multiply polynomials                   supp
                                          2                                                Review/Test

                                         12
                                                                              AFDA Chapter 2

          A             B          C        D                E                                         F                                    G                   H
1
2
                                 VA Alg Suggested   Essential Questions                                                                Instructional        Assessments
     Organizing                                                                      Essential Skills and Understanding
                                 II SOL   Pacing      and Vocabulary                                                                    Resources       (including Mastery)
3     Strand        AFDA SOL
                                                                            relations, Functions, ordered pairs, Vertical line test,
4    Functions        1a-h       A2.7      0.5      Function vocabulary               Domain, Range, function notation                     2.1
                                                                           Linear graphs: dependent and independent variable,
                                                                           standard form of the equation, slope formula, slope-
                                                                              intercept form; horizontal and vertical lines; Use
      Equations
                                                                                functional vocabulary--domain, range, x and y
         and                                                                 intercepts, increasing, decreasing, end behaviors,
5    Inequalities   1a-h, 2, 4   A1.6      2.5         linear graphs                             continuous                                2.2

                                                                            Direct variation; include y = kx, find the constant of
                                                                           variation, identify direct variation from a table, graph,
6    Functions                   A2.10      1         direct variation               and equation, solve word problems                     2.3
                                                                                                                                                       Use AFDA book to get
                                                                           linear scatter plots; use calculator to find the equation                      data collecting
7     Statistics        3        A2.9       2       linear scatter plots          of the line and use it to make a prediction              2.4               activities

                                                                           Graph absolute value functions using transformations.
                                                                             Use functional vocabulary--domain, range, x and y
                                                                             intercepts, increasing, decreasing, end behaviors,
8    Functions         1, 2      A2.6       2        abs value graphs               continuous, relative max and min.                      2.5
                                                     linear inequality
 9   Functions        pre 5      A1.6       1             graphs                          Graph linear inequalities                        2.7
10                                          2                                                 Review and test
11
12                                         11
                                                                         AFDA Chapter 3

          A            B          C           D                 E                                F                             G                    H
1
                               VA Alg II   Suggested   Essential Questions                                                Instructional   Assessments (including
      Organizing                                                                 Essential Skills and Understanding
                                 SOL         Pacing      and Vocabulary                                                    Resources            Mastery)
2      Strand       AFDA SOL
      Equations
         and                                                                  Solve linear system by graphing; include                    Supplement this chapter
3    Inequalities    pre 5       A1.6         1          Graph Systems       independent, dependent and inconsistent          3.1           with AFDA Chapter 3
      Equations
         and                                                                 Solve a linear system using substitution
4    Inequalities                A1.4         2        Solve linear systems               and elimination                     3.2
      Equations                                                              Give a mixture of problems so students
         and                                           Solve linear systems can practice choosing the best method to        3.1,3.2,
5    Inequalities                             1                mixed                           solve.                     supplement
                                                                            Graph systems of linear inequalities to get
     Algebra and                                         System of linear     ready for linear programming. Include
6     Functions      pre 5                    1            inequalities           horizontal and vertical lines.              3.3

                                                       Linear Programming;
                                                        objective functions,
     Algebra and                                       constraints, feasible Find max and min values, solve problems
 7    Functions        5                      1           region, vertices          with linear programming                   3.4
 8                                            2                                         Review and Test
 9                                            1                                           Benchmark 1
10                                            10
                                                                                AFDA Chapter 5

           A            B          C           D                E                                   F                              G                     H
                                VA Alg II   Suggested   Essential Questions                                                   Instructional    Assessments (including
      Organizing                                                                   Essential Skills and Understanding
                                  SOL         Pacing      and Vocabulary                                                       Resources             Mastery)
1      Strand        AFDA SOL

                                                                                   Quadratic function, vertex and axis of                     ESS pg 78- 81, 102-104Use
                                                                              symmetry; modeling a quadratic curve of best                      AFDA book to get data
2      Functions      1,2, 3      A2.9         1         Quadratic graphs                 fit with the calculator                 5.1             collecting activities
                                                                              Graph a quadratic or write the equation from
                                                                              a graph using transformations. Use functional
                                                                                    vocabulary--domain, range, x and y
                                                                                  intercepts, increasing, decreasing, end
                                                                               behaviors, continuous, asymptotes, relative
3      Functions       1, 2       A2.6         1         Quadratic graphs                      max and min.                       5.3
                                                                               Factor out a GCF; Factor trinomials; perfect
      Expressions                                                                  squares, difference of squares; factor
4 and operations                  A2.1         6            Factoring                            completely                       5.4           supplement with a>1
5                                              1                                                                                                   Mid chapter test
                                                                                                                                               make sure you do some
     Equations and                                                             Solve quadratic equations by factoring, and                     estimating with decimal
6     Inequalities                A2.4         2        Solve by factoring        solve for x and square root both sides          5.5           answers from a graph
                                                                                   Simplify square roots (no variables
      Expressions
                                                         Simplify square         yet);Introduction to complex numbers,
          and                                            roots, introduce     simplify, add, subtract, and multiply complex
7     Inequalities                A2.3         1        complex numbers                          numbers                          5.6

                                                                               Solve using the quadratic formula to solve
     Equations and                                                             quadratics that have roots that have to be
 8    Inequalities                A2.4         2        Quadratic formula      simplified and/or have complex solutions           5.8
 9                                             2                                            Review and Test
10
11                                             16
                                                                         AFDA Chapter 7 and 8

           A         B         C       D              E                                        F                                    G                   H
                                                                                                                                                  Assessments
                            VA Alg Suggested Essential Questions                                                               Instructional
      Organizing    AFDA                                                      Essential Skills and Understanding                                   (including
                            II SOL   Pacing    and Vocabulary                                                                   Resources
1      Strand        SOL                                                                                                                           Mastery)

     Expressions
     and                                                                                                                                       *skip if running
2    operations             A2.1b      1     Square roots          Simplify square roots with numbers and variables                supp        short on days
     Expressions
     and                                                                                                                                       *skip if running
3    operations             A2.1b      1     Cube Roots            Simplify cube roots with numbers and variables                  supp        short on days
     Expressions
     and                                                           Add, subtract, and multiply binomial radical expressions;                   *skip if running
4    operations             A2.1b      1     ASM radicals          do not include other roots larger than cube root                7.3         short on days
                                                                   Graph square root and cube root functions using
                                                                   transformations. Write the equation from a graph. Use
                                                                   functional vocabulary--domain, range, x and y intercepts,
     Algebra and                                                   increasing, decreasing, end behaviors, continuous,                          *skip if running
5    functions     1, 2     A2.6       1     Radical graphs        asymptotes, relative max and min.                               7.8         short on days

                                                                 Exponential growth, decay and logarithms: Write the
                                                                 equation from a graph and graph from an equation. Use
                                                                 functional vocabulary--domain, range, x and y intercepts,                     Use AFDA book to
     Algebra and                             Exponential and log increasing, decreasing, end behaviors, continuous,                            get data collecting
6 functions        1, 2, 3 A2.6        2     graphs              asymptotes, relative max and min.                               8.1/8.2       activities


                                                                                                                                               Use AFDA book to
     Algebra and                                                 Exponential scatter plot; Logarithmic graphs with                             get data collecting
 7   functions     1,2, 3              2     Logarithm functions transformations and all of the functional vocabulary              8.3         activities
 8                                     2                         Review and Test
 9                                                               Benchmark 2
10                                    10
                                                                            AFDA Chapter 9

          A             B         C         D                  E                                        F                                 G                   H
1
2
                                                                                                                                                        Assessments
                                VA Alg   Suggested   Essential Questions and                                                         Instructional
      Organizing                                                                       Essential Skills and Understanding                                (including
                                II SOL     Pacing          Vocabulary                                                                 Resources
3      Strand        AFDA SOL                                                                                                                            Mastery)


                                                                                Identify an inverse variation from a table, graph
                                                                                 and equation; y = k/x, identify the constant of
4      Functions                A2.10       2           Inverse variation               variation, include word problems                 9.1



                                                                               Graph a rational function comparing to the inverse
                                                                                variation; only graph the parent graph of y = 1/x;
                                                                               Use functional vocabulary--domain, range, x and y
                                                      Rational graphs and      intercepts, increasing, decreasing, end behaviors,
5      Functions       1, 2     A2.6,7      1             asymptotes             continuous, asymptotes, relative max and min.         9.2, 9.3
                                                                                  Solve rational equations by cross multiplying;
     Equations and                                                                   solve rational equations with a numeric                         *skip if running
 6    Inequalities              A2.4        2          Rational equations                          denominator                           9.6         short on days
 7                                          2                                                    Review and Test
 8
 9                                          7
10
11
12
                                                                          AFDA Chapter 12



                                                                                                                           Assessments
                        VA Alg II   Suggested   Essential Questions and          Essential Skills and      Instructional
Organizing                                                                                                                  (including
                          SOL         Pacing          Vocabulary                   Understanding            Resources
 Strand      AFDA SOL                                                                                                       Mastery)

                                       1              Probability                                              1.6
                6

                                                   Permutation and
                                       1                                                                       6.7
                                                    combinations
                6
                                                                              Probability of dependent
                                                Probability of Multiple       and independent events;
                                       1                                                                       9.7
                                                       Events                addition and multiplication
                6                                                                       rules
 Data
Analysis        6          A1          1        Conditional Probability                                        12.2
 Data                                                                            Central Tendency,
Analysis        7        A2.11         1            Analyzing Data              percentiles, outliers          12.3



 Data                                                                        Standard deviation and z
Analysis        7        A2.11         2          Standard deviation             scores formula                12.4
 Data                                                                       Sample, population, margin       12.5 and
Analysis        8                      2               Samples                    of error, bias           supplement
 Data
Analysis        7        A2.11          1        Normal Distribution                                           12.7
                                        2                                                                                  Review, Test
                                       12

				
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