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Adult Education Algebra 2
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This course allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons.
Algebra 2 is an advanced course using hands-on activities, applications, group interactions, and the latest technology.
Note: content varies depending on course version. For currently enrolled students, please refer to the syllabus located in the course information area for curriculum specifics.
Competencies
Factoring and Quadratics
Students will demonstrate an understanding of quadratic functions by factoring, graphing, and solving quadratic equations.
Polynomials
Students will demonstrate an understanding of polynomial functions by performing operations on polynomials, graphing polynomials, and proving polynomial identities.
Radical Expressions
Students will demonstrate an understanding of radical equations by simplifying radical expressions and solving radical equations.
Rational Expressions
Students demonstrate an understanding of rational expressions by simplifying rational expressions and solving rational equations.
Exponential and Logarithmic Functions
Students will demonstrate an understanding of exponential and logarithmic functions by simplifying exponential and logarithmic expressions and graphing and solving exponential and logarithmic equations.
Sequences and Series
Students will demonstrate an understanding of sequences and series by evaluating arithmetic and geometric sequences and series, using sigma notation to evaluate a series, and graphing sequences and series.
Statistics
Students will demonstrate an understanding of statistics by explaining events and outcomes, calculating probability, and analyzing surveys and experiments.
Systems of Equations
Students will demonstrate an understanding of systems of equations by solving linear and nonlinear systems of equations algebraically and graphically.
Trigonometry
Students will demonstrate an understanding of trigonometry by solving problems using the Unit Circle, graphing trigonometric functions, solving problems involving trigonometric functions, and analyzing Pythagorean Identities.
Major Topics and Concepts
Segment I
Module 1: Radical and Polynomial Operations
- 01.00 Introduction to Radical and Polynomial Operations
- 01.01 Rational Exponents
- 01.02 Properties of Rational Exponents
- 01.03 Solving Radical Equations
- 01.04 Radical and Polynomial Operations Mid-Module Check
- 01.05 Radical and Polynomial Operations Discussion-Based Assessment
- 01.06 Complex Numbers
- 01.07 Operations on Complex Numbers
- 01.08 Polynomial Operations
- 01.09 Radical and Polynomial Operations Review and Practice Test
- 01.10 Radical and Polynomial Operations Test
Module 2: Factoring and Quadratics
- 02.00 Introduction to Factoring and Quadratics
- 02.01 Greatest Common Factors and Special Products
- 02.02 Factoring by Grouping
- 02.03 Sum and Difference of Cubes
- 02.04 Graphing Quadratics
- 02.05 Completing the Square
- 02.06 Solving Quadratic Equations
- 02.07 Solving Quadratic Equations with Complex Solutions
- 02.08 Investigating Quadratics
- 02.09 Factoring and Quadratics Review and Practice Test
- 02.10 Factoring and Quadratics Discussion-Based Assessment
- 02.11 Factoring and Quadratics Test
Module 3: Solving Polynomials
- 03.00 Introduction to Solving Polynomials
- 03.01 Polynomial Long Division
- 03.02 Theorems of Algebra
- 03.03 Polynomial Transformations
- 03.04 Solving and Graphing Polynomials
- 03.05 Polynomial Identities and Proofs
- 03.06 Solving Polynomials Review and Practice Test
- 03.07 Solving Polynomials Discussion-Based Assessment
- 03.08 Solving Polynomials Test
Module 4: Rational Equations
- 04.00 Introduction to Rational Equations
- 04.01 Simplifying Rational Expressions
- 04.02 Discontinuities of Rational Expressions
- 04.03 Asymptotes of Rational Functions
- 04.04 Solving Rational Equations
- 04.05 Rational Equations Quiz
- 04.08 Segment One Exam Review
- 04.09 Rational Equations Discussion-Based Assessment
- 04.10 Segment One Exam
Segment II
Module 5: Exponential and Logarithmic Functions
- 05.00 Introduction to Exponential and Logarithmic Functions
- 05.01 Exponential Functions
- 05.02 Logarithmic Functions
- 05.03 Exponential and Logarithmic Functions Mid-Module Check
- 05.04 Exponential and Logarithmic Functions Discussion-Based Assessment
- 05.05 Graphing Exponential Functions
- 05.06 Graphing Logarithmic Functions
- 05.07 Exponential and Logarithmic Functions Review and Practice Test
- 05.08 Exponential and Logarithmic Functions Test
Module 6: Systems of Equations
- 06.00 Introduction to Systems of Equations
- 06.01 Solving Systems of Equations Algebraically
- 06.02 Solving Systems of Equations Graphically
- 06.03 Solving Systems of Nonlinear Equations
- 06.04 Graphing Systems of Nonlinear Equations
- 06.05 Systems of Equations Review and Practice Test
- 06.06 Systems of Equations Discussion-Based Assessment
- 06.07 Systems of Equations Test
Module 7: Sequences and Series
- 07.00 Introduction to Sequences and Series
- 07.01 Arithmetic Sequences and Series
- 07.02 Geometric Sequences
- 07.03 Geometric Series
- 07.04 Sigma Notation
- 07.05 Graphing Sequences and Series
- 07.06 Sequences and Series Review and Practice Test
- 07.07 Sequences and Series Discussion-Based Assessment
- 07.08 Sequences and Series Test
Module 8: Statistics
- 08.00 Introduction to Statistics
- 08.01 Events and Outcomes in a Sample Space
- 08.02 Independent Probability
- 08.03 Conditional Probability
- 08.04 Normal Distribution
- 08.05 Models of Populations
- 08.06 Using Surveys
- 08.07 Using Experiments
- 08.08 Statistics Review and Practice Test
- 08.09 Statistics Discussion-Based Assessment
- 08.10 Statistics Test
Module 9: Trigonometry
- 09.00 Introduction to Trigonometry
- 09.01 Introduction to the Unit Circle
- 09.02 Unit Circle and the Coordinate Plane
- 09.03 Trigonometric Functions with Periodic Phenomena
- 09.04 Pythagoras, Trigonometry, and Quadrants
- 09.05 Functions of All Types
- 09.06 Trigonometry Quiz
- 09.07 Segment Two Collaboration Component
- 09.08 Segment Two Exam Review
- 09.09 Trigonometry Discussion-Based Assessment
- 09.10 Segment Two Exam
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