Download Algebra II

1st 9 Weeks
Algebra 2
Days
Section/Topic
Chapter 1: Expressions, Equations, and Inequalities
1-1 Patterns and Expressions
1-2 Properties of Real Numbers
6
AII.1 and AII.4
1-4 Solving Equations
AII.4
1- 5 Solving Inequalities
1-6 Absolute Value Equations and Inequalities
AII. 4
AII.4.a
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Variable, Algebraic Expression, Rational Numbers,
Irrational Numbers, Integers, Whole Numbers,
Natural Numbers, Reciprocal, Opposite, Inverse,
Properties of Real Numbers, Constant, Variable
Quantity, Numerical Expression
Evaluate, Term, Coefficient, Constant term, Like
Terms, Order of Operations
Equation, Solution of an Equation, Inverse
Operations, Identity, Literal Equation, Formula,
Reflexive Property, Symmetric Property, Transitive
Property, Substitution Property
Compound Inequalities
Absolute Value, Extraneous Solution
2-3 Linear Functions and Slope Intercept Form
AII.7.c
2-4 More About Linear Equations
2-5 Using Linear Models
Concept Byte: Piecewise Functions (p. 90)
AII.7.c and A.II.9
2-6 Families of Functions
AII.6
2-7 Absolute Value Functions and Graphs
AII. 6
Relation, Domain, Range, Function, Vertical-Line
Test, Function Rule, Function Notation, Independent
Variable, Dependent Variable, Direct Variation,
Constant of Variation
Slope, Linear Function, Linear Equation, y-intercept,
x-intercept, slope-intercept form
Point-Slope Form, Standard Form of a Linear
Equation, Scatter plot, Correlation, Line of best fit,
Correlation Coefficient
Piecewise Function, Step Function, Limited Domain
and Range
Parent Function, Transformation, Translation,
Reflection, Vertical Stretch, Vertical Compression,
Dilation
Absolute Value Function, Axis of Symmetry, Vertex
Prepares for AII. 5
Linear Inequality, Boundary, Half-Plane, Test Point
Prepares for AII. 5
System of Equations, Linear System, Solution of a
System, Inconsistent System, Consistent System,
Independent System, Dependent System
3 -2 Solving Systems Algebraically
Prepares for AII.5
Equivalent Systems, Substitution Method
3 -2 Solving Systems Algebraically
Review
Assessment
9 Week Benchmark
Prepares for AII.5
Elimination Method
2-8 Two – Variable Inequalities
Review
Assessment
Chapter 3: Linear Systems
3-1 Solving Systems Using Tables and Graphs
5
Prepares for AII.1,
AII.3, and AII.4
1-3 Algebraic Expressions
Review/ Assessment
Chapter 2: Functions, Equations and Graphs
2-1 Relations and Functions
2-2 Direct Variation
9
Standards
20 total
Prepares for AII. 5,
AII.6, AII.7, AII.10
AII.7
2nd 9 Weeks
Algebra 2
Days
Section/Topic
Standards
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Chapter 4: Quadratic Functions and Equations
13
Parabola, Quadratic Function, Vertex Form, Axis of
Symmetry, Vertex of the Parabola, Minimum Value,
Maximum Value
Standard Form
4-1 Quadratic Functions and Transformations
Prepares for AII. 6
4-2 Standard Form of a Quadratic Function
AII.7.c
4-3 Modeling With Quadratic Functions
AII.9
4-4 Factoring Quadratic Expressions
AII.1.d
4-4 Factoring Quadratic Expressions
AII.1.d
Factoring, Greatest Common Factor (GCF) of an
expression
Perfect Square Trinomial, Difference of Two Squares
4-5 Quadratic Equations
AII.4.b
Zero of a Function, Zero-Product Property
Algebra Review: Square Roots & Radicals (p. 225)
4 -6 Completing the Square
4- 7 The Quadratic Formula
AII.4.b
Radical Symbol, Square Root, Completing the Square
AII.4.b
Quadratic Formula, Discriminant
4-9 Quadratic Systems
AII. 5
4-8 Complex Numbers
VA-1 Complex Numbers and the Field Properties
(p. VA2)
4-8 Complex Numbers
AII. 3
Imaginary Unit, Imaginary Number, Complex
Number, Pure Imaginary Number, Complex
Conjugates
AII. 3
Imaginary Unit, Imaginary Number, Complex
Number, Pure Imaginary Number, Complex
Conjugates
5-1 Polynomial Functions
AII.7.d and AII. 7.f
5-2 Polynomials, Linear Factors, and Zeroes
AII.8
5-3 Solving Polynomial Equations
AII.8
Monomial, Degree of a Monomial, Polynomial,
Degree of a Polynomial, Polynomial Function,
Standard form of a Polynomial Function, Turning
Point, End Behavior, Increasing, Decreasing,
Constant
Factor Theorem, Multiple Zero, Multiplicity, Relative
Maximum, Relative Minimum
Sum of Cubes, Difference of Cubes
5-3 Solving Polynomial Equations
AII. 8
Sum of Cubes, Difference of Cubes
5-4 Dividing Polynomials
5-6 The Fundamental Theorem of Algebra
5- 8 Polynomial Models in the Real World
AII.8 and AII.7.b
Synthetic Division, Remainder Theorem,
Fundamental Theorem of Algebra
AII.9
Power Function, Constant of Proportionality
5-9 Transforming Polynomial Functions
Review
AII.6
Review
Assessment
Chapter 5: Polynomials and Polynomial Functions
9
Assessment
Review
18 Week Benchmark
24 total
2
3rd 9 Weeks
Algebra 2
Days
Section/Topic
Chapter 6: Radical Functions and Rational Exponents
6-1 Roots and Radical Expressions
6-2 Multiplying and Dividing Radical Expressions
6-2 Multiplying and Dividing Radical Expressions
11
Standards
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
AII.1.b
nth root, principal root, radicand, index, simplest
form of a radical
AII.1.b
Rationalize the Denominator
6-3 Binomial Radical Expressions
AII.1.b
Like Radicals
Skills Handbook: Operations with Exponents
(p. 970)
6-4 Rational Exponents
6-4 Rational Exponents
AII.1.c
Rational Exponent
AII.1.c
Rational Exponent
6-5 Solving Square Root and Other Radical
Equations
6-6 Function Operations
AII.4.d
Radical Equation, Square Root Equation
AII.7.h
Composite Function
6-7 Inverse Relations and Functions
AII.7.g
6-8 Graphing Radical Functions
AII.6
Inverse Relation, Inverse Function, One-to-One
Functions
Radical Function, Square Root Function
Review
Assessment
Chapter 7: Exponential and Logarithmic Functions
7-1 Exploring Exponential Models
7-2 Properties of Exponential Functions
4
7-3 Logarithmic Functions as Inverses
7-3 Logarithmic Functions as Inverses
Concept Byte: Fitting Curves to Data (p.459)
Review/ Assessment
Chapter 8: Rational Functions
8-1 Inverse Variation
8
AII.6, AII.7.d, AII.7.e,
and AII.9
AII.6
AII.6 and AII.9
AII.10
8-2 The Reciprocal Function Family
8-3 Rational Functions and Their Graphs
AII.6, AII.7.a, and
AII.7.e
8-4 Rational Expressions
8-5 Adding and Subtracting Rational Expressions
8-5 Adding and Subtracting Rational Expressions
8-6 Solving Rational Equations
Review
AII.1.a
AII.1.a
AII.1.a
AII.4.c
Assessment
24 total
Exponential Function, Exponential Growth,
Exponential Decay, Asymptote, Growth Factor,
Decay Factor, Natural Base Exponential Function
Logarithm, Logarithmic Function, Common
Logarithm
Logarithm, Logarithmic Function, Common
Logarithm
Inverse Variation, Combined Variation, Joint
Variation
Reciprocal Function, Branch, Rational Function,
Continuous Graph, Discontinuous Graph, Point of
Discontinuity, Removable Discontinuity, Nonremovable Discontinuity
Rational Expression, Simplest Form
Complex Fraction
Rational Equation
Algebra 2
Days
Section/Topic
Chapter 9: Sequences and Series
9-1 Mathematical Patterns
9-2 Arithmetic Sequences
9-3 Geometric Sequences
9-4 Arithmetic Series
4
9-5 Geometric Series
Review
Benchmark
Chapter 11: Probability and Statistics
11-1 Permutations and Combinations
4th 9 Weeks
Standards
AII.2
AII.2
AII.2
AII.2
DOE Enhanced Scope and Sequence
(2011-2012)
Vocabulary
Sequence, Term of a Sequence, Explicit Formula,
Recursive Formula, Arithmetic Sequence, Common
Difference
Geometric Sequences, Common Ratio
Series, Finite Series, Infinite Series, Arithmetic
Series, Limits
Geometric Series, Converge, Diverge
2
6
3+
11-5 Analyzing Data
11-6 Standard Deviation
VA-3 Probabilities and Normal Distribution
(p. VA 8)
11-9 Normal Distributions
11-9 Normal Distributions
Concept Byte: Approximating a Binomial
Distribution (p. 740)
Review Chapters 9 and 11
Assessment
SOL Review/Benchmark/Remediation
SOL
AII.12
AII.11
AII.11
AII.11
Fundamental Counting Principle, Permutation, n
factorial, Combination
Measure of Central Tendency, Mean, Median,
Mode, Range, Bimodal, Outlier, Measure of
Variation, Variance, Standard Deviation
Z-score, Probability Distribution, Normal
Distribution
Z-score, Probability Distribution, Normal
Distribution
15 total
***This assumes that the SOL test will be the week before Memorial Day. If this is not the case, then adjustments can be made to condense/extend these timeframes.