 Mathematics
 690 (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.
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.
Course Content

Chapter 1: Quadratic Functions and Factoring 0/19

Lecture1.1Graph Quadratic Functions in Standard Form

Quiz1.1Algebra 2 Quiz 1.1 6 questions10 min

Lecture1.2Graph Quadratic Functions in Vertex or Intercept Form

Quiz1.2Algebra 2 Quiz 1.2 6 questions10 min

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

Quiz1.3Algebra 2 Quiz 1.3 7 questions10 min

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

Quiz1.4Algebra 2 Quiz 1.4 5 questions10 min

Lecture1.5Solve Quadratic Equations by Finding Square Roots

Quiz1.5Algebra 2 Quiz 1.5 5 questions10 min

Lecture1.6Perform Operations with Complex Numbers

Quiz1.6Algebra 2 Quiz 1.6 5 questions10 min

Lecture1.7Completing the Squares

Quiz1.7Algebra 2 Quiz 1.7 5 questions10 min

Lecture1.8Use the Quadratic Formula and the Discriminant

Quiz1.8Algebra 2 Quiz 1.8 5 questions10 min

Lecture1.9Graph and Solve Quadratic Inequalities

Quiz1.9Algebra 2 Quiz 1.9 3 questions10 min

Lecture1.10Chapter TEST Quadratic Functions and Factoring


Chapter 2: Polynomials and Polynomial Functions 0/17

Lecture2.1Use Properties of Exponents

Quiz2.1Algebra 2 Quiz 2.1 5 questions10 min

Lecture2.2Evaluate and Graph Polynomial Functions

Quiz2.2Algebra 2 Quiz 2.2 5 questions10 min

Lecture2.3Add, Subtract, and Multiply Polynomials

Quiz2.3Algebra 2 Quiz 2.3 5 questions10 min

Lecture2.4Factor and Solve Polynomial Equations

Quiz2.4Algebra 2 Quiz 2.4 5 questions10 min

Lecture2.5Apply the Remainder and Factor Theorems

Quiz2.5Algebra 2 Quiz 2.5 4 questions10 min

Lecture2.6Find Rational Zeros

Quiz2.6Algebra 2 Quiz 2.6 4 questions10 min

Lecture2.7Apply the Fundamental Theorem of Algebra

Quiz2.7Algebra 2 Quiz 2.7 2 questions10 min

Lecture2.8Analyze Graphs of Polynomial Functions

Quiz2.8Algebra 2 Quiz 2.8 4 questions10 min

Lecture2.9Chapter TEST Polynomials and Polynomial Functions


Chapter 3: Rational Exponents and Radical Functions 0/13

Lecture3.1Evaluate nth Roots and Use Rational Exponents

Quiz3.1Algebra 2 Quiz 3.1 4 questions10 min

Lecture3.2Apply Properties of Rational Exponents

Quiz3.2Algebra 2 Quiz 3.2 4 questions10 min

Lecture3.3Perform Function Operations and Composition

Quiz3.3Algebra 2 Quiz 3.3 4 questions10 min

Lecture3.4Use Inverse Functions

Quiz3.4Algebra 2 Quiz 3.4 3 questions10 min

Lecture3.5Graph Square Root and Cube Root Functions

Quiz3.5Algebra 2 Quiz 3.5 2 questions10 min

Lecture3.6Solve Radical Equations

Quiz3.6Algebra 2 Quiz 3.6 4 questions10 min

Lecture3.7Chapter TEST Rational Exponents and Radical Functions


Chapter 4: Exponential and Logarithmic Functions 0/15

Lecture4.1Graph Exponential Growth Functions

Quiz4.1Algebra 2 Quiz 4.1 5 questions

Lecture4.2Graph Exponential Decay Functions

Quiz4.2Algebra 2 Quiz 4.2 3 questions

Lecture4.3Use Functions Involving e

Quiz4.3Algebra 2 Quiz 4.3 4 questions

Lecture4.4Evaluate Logarithms and Graph Logarithmic Functions

Quiz4.4Algebra 2 Quiz 4.4 4 questions

Lecture4.5Apply Properties of Logarithms

Quiz4.5Algebra 2 Quiz 4.5 3 questions

Lecture4.6Solve Exponential and Logarithmic Equations

Quiz4.6Algebra 2 Quiz 4.6 4 questions

Lecture4.7Write and Apply Exponential and Power Functions

Quiz4.7Algebra 2 Quiz 4.7 2 questions

Lecture4.8Chapter TEST Exponential and Logarithmic Functions


Chapter 5: Rational Functions 0/15

Lecture5.1Model Inverse and Joint Variation

Quiz5.1Algebra 2 Quiz 5.1 4 questions10 min

Lecture5.2Graph Simple Rational Functions

Quiz5.2Algebra 2 Quiz 5.2 4 questions10 min

Lecture5.3Graph General Rational Functions

Quiz5.3Algebra 2 Quiz 5.3 2 questions10 min

Lecture5.4Multiply and Divide Rational Expressions

Quiz5.4Algebra 2 Quiz 5.4 3 questions10 min

Lecture5.5Add and Subtract Rational Expressions

Quiz5.5Algebra 2 Quiz 5.5 2 questions10 min

Lecture5.6Solve Rational Equations

Quiz5.6Algebra 2 Quiz 5.6 3 questions10 min

Lecture5.7Describe and Compare Function Characteristics

Quiz5.7Algebra 2 Quiz 5.7 3 questions10 min

Lecture5.8Chapter TEST Rational Functions


Chapter 6: Data Analysis and Statistics 0/11

Lecture6.1Use Combinations and the Binomial Theorem

Quiz6.1Algebra 2 Quiz 6.1 4 questions10 min

Lecture6.2Construct and Interpret Binomial Distributions

Quiz6.2Algebra 2 Quiz 6.2 2 questions10 min

Lecture6.3Use Normal Distributions

Quiz6.3Algebra 2 Quiz 6.3 4 questions10 min

Lecture6.4Select and Draw Conclusions from Samples

Quiz6.4Algebra 2 Quiz 6.4 3 questions10 min

Lecture6.5Compare Surveys, Experiments, and Observational Studies

Quiz6.5Algebra 2 Quiz 6.5 2 questions10 min

Lecture6.6Chapter TEST Data Analysis and Statistics


Chapter 7: Sequences and Series 0/11

Lecture7.1Define and Use Sequences and Series

Quiz7.1Algebra 2 Quiz 7.1 2 questions10 min

Lecture7.2Analyze Arithmetic Sequences and Series

Quiz7.2Algebra 2 Quiz 7.2 4 questions10 min

Lecture7.3Analyze Geometric Sequences and Series

Quiz7.3Algebra 2 Quiz 7.3 4 questions10 min

Lecture7.4Find Sums of Infinite Geometric Series

Quiz7.4Algebra 2 Quiz 7.4 2 questions10 min

Lecture7.5Use Recursive Rules with Sequences and Functions

Quiz7.5Algebra 2 Quiz 7.5 3 questions10 min

Lecture7.6Chapter TEST Sequences and Series


Chapter 8: Quadratic Relations and Conic Sections 0/13

Lecture8.1Apply the Distance and Midpoint Formulas 10 min

Quiz8.1Algebra 2 Quiz 8.1 5 questions20 min

Lecture8.2Graph and Write Equations of Parabolas

Quiz8.2Algebra 2 Quiz 8.2 5 questions10 min

Lecture8.3Graph and Write Equations of Circles

Quiz8.3Algebra 2 Quiz 8.3 4 questions10 min

Lecture8.4Graph and Write Equations of Ellipses

Quiz8.4Algebra 2 Quiz 8.4 4 questions10 min

Lecture8.5Graph and Write Equations of Hyperbolas

Quiz8.5Algebra 2 Quiz 8.5 2 questions10 min

Lecture8.6Translate and Classify Conic Sections

Lecture8.7Solve Quadratic Systems

Lecture8.8Chapter TEST Quadratic Relations and Conic Sections


Chapter 9: Trigonometric Ratios and Functions 0/13

Lecture9.1Use Trigonometry with Right Triangles

Quiz9.1Algebra 2 Quiz 9.1 0 question10 min

Lecture9.2Define General Angles and Use Radian Measure

Quiz9.2Algebra 2 Quiz 9.2 0 question10 min

Lecture9.3Evaluate Trigonometric Functions of Any Angle

Quiz9.3Algebra 2 Quiz 9.3 0 question10 min

Lecture9.4Evaluate Inverse Trigonometric Functions

Quiz9.4Algebra 2 Quiz 9.4 0 question10 min

Lecture9.5Apply the Law of Sines

Quiz9.5Algebra 2 Quiz 9.5 0 question10 min

Lecture9.6Apply the Law of Cosines

Quiz9.6Algebra 2 Quiz 9.6 0 question10 min

Lecture9.7Chapter TEST Trigonometric Ratios and Functions


Chapter 10: Trigonometric Graphs, Identities, and Equations 0/14

Lecture10.1Graph Sine, Cosine, and Tangent Functions

Quiz10.1Algebra 2 Quiz 10.1 2 questions20 min

Lecture10.2Translate and Reflect Trigonometric Graphs

Quiz10.2Algebra 2 Quiz 10.2 2 questions20 min

Lecture10.3Verify Trigonometric Identities

Quiz10.3Algebra 2 Quiz 10.3 2 questions10 min

Lecture10.4Solve Trigonometric Equations

Quiz10.4Algebra 2 Quiz 10.4 0 question10 min

Lecture10.5Write Trigonometric Functions and Models

Quiz10.5Algebra 2 Quiz 10.5 0 question10 min

Lecture10.6Apply Sum and Difference Formulas

Quiz10.6Algebra 2 Quiz 10.6 0 question10 min

Lecture10.7Apply DoubleAngle and HalfAngle Formulas

Quiz10.7Algebra 2 Quiz 10.7 0 question10 min

Instructor
David is the professor of mathematics education at David School and a former Associate Professor of Physics at JNTU. He served as a teacher of mathematics and Physics in various international schools in Asia and Europe. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. David School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.
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