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Factor Theorem

 

UnLock Algebra II Scope & Sequence

Take a look at our scope and the sequence in which the lessons are placed. Our lessons break math into bite size chunks and build one concept upon another in a logical fashion that enhances learning and reduces math anxiety.

Unit 1a  Review of Equations

1.1a       Introduction to Equations
1.2a       Multistep & Distributive Part I
1.3a       Multistep & Distributive Part II

1.4a       Equations with Multiple Variables

1.5a       Slope & Rate of Change

1.6a       Calculating Slope Using a Graph 

1.7a       Calculate Slope Using dydx & Intercepts

1.8a       Slope-Intercept Form

1.9a       Equation of a Line

Unit 1b  Review of Exponents

1.1b       Introduction to Exponents
1.2b       The Product Property
1.3b       The Quotient Property

1.4b       Zero and Negative Exponents

1.5b       Fractional Exponents

1.6b       Power of a Power Property 

1.7b       Power of a Product Property

1.8b       Power of a Fraction

1.9b       Simplifying Algebraic Expressions with Exponents

Unit 2  Systems of Linear Equations & Inequalities

2.1       Intro to Systems of Linear Equations & Inequalities
2.2       Solving a System of Equations by Substitution
2.3       Solving a System of Equations by Elimination
2.4       Graphing Systems of Linear Equations
2.5       Graphing Systems of Inequalities

2.6       Linear Programming

Unit 3  Polynomial Functions

3.1       Introduction to Polynomials
3.2       Adding & Subtracting Polynomials
3.3       Multiplying Polynomials
3.4       Dividing Polynomials Using Long Division
3.5       Dividing Polynomials Using Synthetic Division
3.6       Remainder Theorem
3.7       Factor Theorem
3.8       Factoring Polynomials Using the GCF
3.9       Factoring Using Difference of Squares 

3.10     Factoring Perfect Square Trinomials 

3.11     Factoring Trinomials

3.12     Factoring Using Sums or Difference of Cubes

3.13     Solving Equations Using Factoring 

Unit 4  Functions

4.1       Introduction to Functions
4.2       Function Notation & Evaluation
4.3       Domain of a Function & Interval Notation

4.4       Range of a Function & Interval Notation

4.5       Adding & Subtracting Functions

4.6       Multiplying & Dividing Functions 

4.7       Composition of Functions

4.8       Inverse Functions

4.9       Composition and Inverse

4.10     Piecewise Functions

4.11     Step Functions

Unit 5   Complex Numbers
5.1       Introduction to Imaginary & Complex Numbers
5.2       Adding & Subtracting Complex Numbers
5.3       Multiplying Complex Numbers
5.4       Complex Conjugates
5.5       Dividing Complex Numbers
5.6       Absolute Value & Complex Numbers

 

Unit 6  Polynomial Functions Solving & Graphing

6.1       Finding a Polynomial Given the Roots
6.2       Location Principle & Multiplicity of Zeros
6.3       Rational Root Theorem

6.4       The Quadratic Formula
6.5       The Complex Conjugate Root Theorem
6.6       Fundamental Theorem of Algebra & Descartes Rule of Signs
6.7       Graphing Polynomials  

Unit 7   Quadratic Functions

7.1        Introduction to Quadratic Functions
7.2        Graphing Quadratic Functions in Vertex Form
7.3        Solving Quadratics by Completing the Square
7.4        The Quadratic Formula
7.5        Conv Quadratic Funct to Vertex Form using Compl the Square
7.6        Solving Quadratic Equations
7.7        Graphing Quadratic Inequalities
7.8        Applications of Quadratics

 

Unit 8   Exponential & Logarithmic Functions

8.1        Intro to Exponential & Logarithmic Properties
8.2        Exponential Growth
8.3        Exponential Decay
8.4        Logarithmic Functions
8.5        Evaluating Logarithmic Functions 
8.6        Product Property of Logarithms
8.7        Quotient Property of Logarithms
8.8        Power Property of Logarithms

8.9        Exponential-Logarithmic Inverse Properties

8.10      Application of Logarithms

8.11      The Natural Exponential Function

8.12      The Natural Logarithm

8.13      Solving Logarithmic Equations

 

Unit 9   Rational Functions

9.1        Introduction to Rational Functions     
9.2        Direct Variation 
9.3        Inverse Variation
9.4        Joint & Combined Variation
9.5        Simplifying Rational Expressions 
9.6        Adding & Subtracting Rational Expressions 

9.7        Multiplying Rational Expressions

9.8        Dividing Rational Expressions 

9.9        Complex Fractions 

9.10      Solving Rational Equations

9.11      Graph of a Rational Function 

9.12      Graph of a Rational Function Continued

 

Unit 10  Radical Functions

10.1       Introduction to Radical Functions
10.2       Simplifying Radicals - Numerical 

10.3       Simplifying Radicals - Algebraic  
10.4       Multiplying Radicals
10.5       Dividing Radicals 
10.6       Adding & Subtracting Radicals 
10.7       Solving Radical Equations 
10.8       Graphing Radical Functions

Unit 11   Conic Sections

11.1        Introduction to Conic Sections
11.2        Distance & Midpoint Formulas  
11.3        Parabolas Part I 
11.4        Parabolas Part II 
11.5        Circles Part I 
11.6        Circles Part II
11.7        Ellipses Part I 

11.8        Ellipses Part II

11.9        Hyperbolas Part I 

11.10      Hyperbolas Part II

11.11      Solving Non Linear Systems

Unit 12  Statistics & Probability

12.1       Introduction to Statistics  
12.2       Independent & Dependent Events  
12.3       Measures of Central Tendency 
12.4       Hisotgrams & Circle Graphs 
12.5       Stem & Leaf Plots

12.6       Box & Whisker Plots

12.7       Scatter Plots  

12.8       Permutations  

12.9       Combinations  

12.10     Measures of Dispersion

Unit 13  Series & Patterns

13.1       Introduction to Series & Patterns 
13.2       Sequences & Series
13.3       Arithmetic Sequences
13.4       Arithmetic Series 

13.5       Geometric Sequences

13.6       Finite Geometric Series 

13.7       Infinite Geometric Series

13.8       Pascal's Triangle

13.9       Binomial Theorem

Unit 14  Trigonometry

14.1       Introduction to Trigonometric Functions

14.2       Finding an Unknown Angle
14.3       Reciprocal Ratios
14.4       Sine Law

14.5       Cosine Law

14.6       Angles in Standard Position

14.7       Special Triangles & Exact Values

Unit 15  Matrices

15.1       Introduction to Matrices
15.2       Basic Matrix Operations
15.3       Matrix Multiplication

15.4       Determinant of a Matrix 
15.5       Inverse of a Matrix