Algebra II

Algebra II Scope & Sequence

Unit  1  Exponents

1.1 Introduction to Exponents
1.2 The Product Property
1.3 The Quotient Property
1.4 Zero and Negative Exponents
1.5 Fractional Exponents
1.6 Power of a Power Property
1.7 Power of a Product Property
1.8 Power of a Fraction
1.9 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 Complex Numbers

3.1 Introduction to Imaginary & Complex Numbers
3.2 Adding & Subtracting Complex Numbers
3.3 Multiplying Complex Numbers
3.4 Complex Conjugates
3.5 Dividing Complex Numbers
3.6 Absolute Value & Complex Numbers

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 Polynomial Functions

5.1 Introduction to Polynomials
5.2 Adding and Subtracting Polynomials
5.3Multiplying Polynomials
5.4 Dividing Polynomials Using Long Division
5.5 Dividing Polynomials Using Synthetic Division
5.6 Remainder Theorem
5.7 Factor Theorem
5.8 Factor Using GCF and Grouping
5.9 Factoring Using Difference of Squares  
5.10 Factoring Perfect Square Trinomials ​
5.11 Factoring Trinomials with a Positive or Negative Constant
5.12 Factoring using the Sum or Difference of Cubes
5.13 Solving Equations Using Factoring & Zero Product Property

Unit 6 Quadratic Functions

6.1 Introduction to Quadratic Functions
6.2Graphing Quadratic Functions in Vertex Form
6.3Solving Quadratic Equations with Square Roots
6.4Solving Quadratics by Completing the Square
6.5 The Quadratic Formula ​
6.6 Converting Quadratic Functions to Vertex Form
6.7 Graphing Quadratic Inequalities
6.8 Applications of Quadratics

Unit 7 Polynomial Functions Solving & Graphing

7.1 Finding a Polynomial Given the Roots
7.2 Location Principle & Multiplicity of Zeros
7.3 Rational Root Theorem
7.4 The Complex Conjugate Root Theorem
7.5 Fundamental Theorem of Algebra & Descartes Rule of Signs
7.6 Graphing Polynomials

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 Midpoint and distance
11.2 Parabolas Part I
11.3 Parabolas Part II
11.4 Circles Part I
11.5 Circles Part II
11.6 Ellipses Part I
11.7 Ellipses Part II
11.8 Hyperbolas Part I
11.9 Hyperbolas Part II
11.10 Solving Non-Linear Systems

Unit 12 Trigonometry

12.1Angles in Standard Position
12.2 Radian Measure ​
12.3 Special Triangles & Exact Values
12.4 Reciprocal Ratios
12.5 Sine Law
12.6 Cosine Law
12.7 Trig Identities
12.8 Graphing Sine and Cosine Functions ​
12.9 Graphing Tangent and Cotangent Functions
12.10 Graphing Secant and Cosecant Functions
12.11 Applications of Trig Functions
12.12 Modelling Trig Functions

Unit 13 Series & Patterns

13.1 Introduction to Series and Patterns
13.2 Arithmetic Series
13.3 Finite Geometric Series
13.4 Infinite Geometric Series
13.5 Pascal’s Triangle
13.6 Binomial Theorem

Unit 14 Statistics & Probability

14.1 Introduction to Statistics
14.2 Independent & Dependent Events
14.3 Measures of Central Tendency
14.4 Mean Deviation
14.5 Standard Deviation and Variance
14.6 Margin of Error

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