# Algebra Functions and Data Analysis Curriculum Map 2012 by lanyuehua

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```									                                                         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
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
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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