 K12 Curriculum
 1 (Registered)

Credit Value: Full Year Course (1 credit)
Anticipated Grade Level(s): 10 and 11
Prerequisites: Satisfactory completion of Geometry and Algebra I. In exceptional situations with teacher approval, this course can be taken simultaneously with Geometry after the completion of Algebra I.
Course Description:
This Algebra 2 course is organized around families of functions; linear, quadratic, exponential, logarithmic, radical, and rational functions. Students will learn about these functions, and the rules, techniques, and procedures necessary to manipulate and solve problems with these functions. In conjunction with this technical knowledge, students will develop skills in critical thinking and creative problem solving as they apply these mathematic concepts to realworld situations.
Course Content

Quadratic Functions and Factoring
10
Lecture1.1Graph Quadratic Functions in Standard Form

Lecture1.2Graph Quadratic Functions in Vertex or Intercept Form

Lecture1.3Solve x^2 + bx + c = 0 by Factoring

Lecture1.4Solve ax^2 + bx + c = 0 by Factoring

Lecture1.5Solve Quadratic Equations by Finding Square Roots

Lecture1.6Perform Operations with Complex Numbers

Lecture1.7Complete the Square

Lecture1.8Use the Quadratic Formula and the Discriminant

Lecture1.9Graph and Solve Quadratic Inequalities

Lecture1.10Chapter TEST Quadratic Functions and Factoring


Polynomials and Polynomial Functions
9
Lecture2.1Use Properties of Exponents

Lecture2.2Evaluate and Graph Polynomial Functions

Lecture2.3Add, Subtract, and Multiply Polynomials

Lecture2.4Factor and Solve Polynomial Equations

Lecture2.5Apply the Remainder and Factor Theorems

Lecture2.6Find Rational Zeros

Lecture2.7Apply the Fundamental Theorem of Algebra

Lecture2.8Analyze Graphs of Polynomial Functions

Lecture2.9Chapter TEST Polynomials and Polynomial Functions


Rational Exponents and Radical Functions
7
Lecture3.1Evaluate nth Roots and Use Rational Exponents

Lecture3.2Apply Properties of Rational Exponents

Lecture3.3Perform Function Operations and Composition

Lecture3.4Use Inverse Functions

Lecture3.5Graph Square Root and Cube Root Functions

Lecture3.6Solve Radical Equations

Lecture3.7Chapter TEST Rational Exponents and Radical Functions


Exponential and Logarithmic Functions
8
Lecture4.1

Lecture4.2

Lecture4.3

Lecture4.4

Lecture4.5

Lecture4.6

Lecture4.7

Lecture4.8Chapter TEST Exponential and Logarithmic Functions


Rational Functions
8
Lecture5.1

Lecture5.2

Lecture5.3

Lecture5.4

Lecture5.5

Lecture5.6

Lecture5.7

Lecture5.8Chapter TEST Rational Functions


Data Analysis and Statistics
7
Lecture6.1The Fundamental Counting Principle and Permutations

Lecture6.2

Lecture6.3Construct and Interpret Binomial Distributions

Lecture6.4Use Normal Distributions

Lecture6.5Select and Draw Conclusions from Samples

Lecture6.6Compare Surveys, Experiments, and Observational Studies

Lecture6.7Chapter TEST Data Analysis and Statistics


Sequences and Series
6
Lecture7.1Define and Use Sequences and Series

Lecture7.2Analyze Arithmetic Sequences and Series

Lecture7.3Analyze Geometric Sequences and Series

Lecture7.4Find Sums of Infinite Geometric Series

Lecture7.5Use Recursive Rules with Sequences and Functions

Lecture7.6Chapter TEST Sequences and Series


Quadratic Relations and Conic Sections
8
Lecture8.1Apply the Distance and Midpoint Formulas

Lecture8.2Graph and Write Equations of Parabolas

Lecture8.3Graph and Write Equations of Circles

Lecture8.4Graph and Write Equations of Ellipses

Lecture8.5Graph and Write Equations of Hyperbolas

Lecture8.6Translate and Classify Conic Sections

Lecture8.7Solve Quadratic Systems

Lecture8.8Chapter TEST Quadratic Relations and Conic Sections


Trigonometric Ratios and Functions
7
Lecture9.1Use Trigonometry with Right Triangles

Lecture9.2Define General Angles and Use Radian Measure

Lecture9.3Evaluate Trigonometric Functions of Any Angle

Lecture9.4Evaluate Inverse Trigonometric Functions

Lecture9.5Apply the Law of Sines

Lecture9.6Apply the Law of Cosines

Lecture9.7Chapter TEST Trigonometric Ratios and Functions


Trigonometric Graphs, Identities, and Equations
8
Lecture10.1Graph Sine, Cosine, and Tangent Functions

Lecture10.2Translate and Reflect Trigonometric Graphs

Lecture10.3Verify Trigonometric Identities

Lecture10.4Solve Trigonometric Equations

Lecture10.5Write Trigonometric Functions and Models

Lecture10.6Apply Sum and Difference Formulas

Lecture10.7Apply DoubleAngle and HalfAngle Formulas

Lecture10.8Chapter TEST Trigonometric Graphs, Identities, and Equations

About the Instructor
0 rating
Aims & Goals:
 Students will have a fundamental understanding of algebra and its practical applications.
 Students will be able to represent functional relationships graphically, numerically, analytically, and with words and will be able to navigate between these various representations.
 Students will understand the linear, quadratic, exponential, logarithmic, radical, and rational functions.
 Students will be able to model realworld situations using functions in order to solve problems arising from those situations.
 Students will be able to think critically about mathematics and the application of mathematics to realworld situations.
 Students will be prepared to study higherlevel mathematics.