Text<\/h3>\r\nBeginning and\u00a0Intermediate Algebra<\/a>\u00a0,<\/em>\u00a0by Tyler Wallace\u00a0is licensed under a Creative Commons Attribution 3.0 Unported License<\/a>. The course was originally created for the Open Course Library project, funded by the Bill and Melinda Gates Foundation and managed by the Washington State Board of Community and Technical Colleges. The text is designed for two terms, and is most appropriate for face to face settings. \u00a0This text is fully integrated with our online learning system, Lumen OHM. The source files for this text are written with\u00a0TexMacs<\/a>, should you wish to edit them, otherwise the fully integrated course contains pdfs for each chapter.\r\nTopic Overview<\/h2>\r\nThe text for this course is laid out in 11 modules:\r\nModule 0:<\/h3>\r\n\r\n \t- Integers, Fractions,\u00a0Order of Operations, Properties of Algebra<\/li>\r\n<\/ul>\r\n
Module 1:<\/h3>\r\n\r\n \t- Solving linear equations including absolute value and fractions<\/li>\r\n \t
- Applications of linear equations including using formulas, variation, geometry, distance<\/li>\r\n<\/ul>\r\n
Module 2:<\/h3>\r\n\r\n \t- Equations of lines and graphs of lines including slope, slope-intercept form, point-slope form and parallel and perpendicular lines<\/li>\r\n<\/ul>\r\n
Module 3:<\/h3>\r\n\r\n \t- Solving and graphing inequalities, including compound inequalities and absolute value inequalities<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n![\"\"](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1763\/2017\/04\/09182346\/Video-Lesson-BI-Alg-300x275.png\")
\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n![\"problem](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1763\/2017\/04\/21171711\/Screen-Shot-2016-09-21-at-3.53.03-PM-269x300.png\")
<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 0:<\/h3>\r\n\r\n \t- Integers, Fractions,\u00a0Order of Operations, Properties of Algebra<\/li>\r\n<\/ul>\r\n
Module 1:<\/h3>\r\n\r\n \t- Solving linear equations including absolute value and fractions<\/li>\r\n \t
- Applications of linear equations including using formulas, variation, geometry, distance<\/li>\r\n<\/ul>\r\n
Module 2:<\/h3>\r\n\r\n \t- Equations of lines and graphs of lines including slope, slope-intercept form, point-slope form and parallel and perpendicular lines<\/li>\r\n<\/ul>\r\n
Module 3:<\/h3>\r\n\r\n \t- Solving and graphing inequalities, including compound inequalities and absolute value inequalities<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 1:<\/h3>\r\n\r\n \t- Solving linear equations including absolute value and fractions<\/li>\r\n \t
- Applications of linear equations including using formulas, variation, geometry, distance<\/li>\r\n<\/ul>\r\n
Module 2:<\/h3>\r\n\r\n \t- Equations of lines and graphs of lines including slope, slope-intercept form, point-slope form and parallel and perpendicular lines<\/li>\r\n<\/ul>\r\n
Module 3:<\/h3>\r\n\r\n \t- Solving and graphing inequalities, including compound inequalities and absolute value inequalities<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 2:<\/h3>\r\n\r\n \t- Equations of lines and graphs of lines including slope, slope-intercept form, point-slope form and parallel and perpendicular lines<\/li>\r\n<\/ul>\r\n
Module 3:<\/h3>\r\n\r\n \t- Solving and graphing inequalities, including compound inequalities and absolute value inequalities<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 3:<\/h3>\r\n\r\n \t- Solving and graphing inequalities, including compound inequalities and absolute value inequalities<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 4:<\/h3>\r\n\r\n \t- Graphing and solving systems of linear equations in two and three variables using addition\/ elimination, including value and mixture application problems<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 5:<\/h3>\r\n\r\n \t- Properties of exponents and scientific notation<\/li>\r\n \t
- Algebraic operations on polynomials<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 6:<\/h3>\r\n\r\n \t- Factoring methods for polynomials including trinomials and special products<\/li>\r\n \t
- Solving polynomial equations by factoring<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 7:<\/h3>\r\n\r\n \t- Algebraic operations on rational expressions and solving rational equations, including dimensional analysis<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 8:<\/h3>\r\n\r\n \t- Algebraic operations on radicals and radical expressions, including rationalizing denominators and complex numbers<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 9:<\/h3>\r\n\r\n \t- Solving radical and quadratic equations including completing the square and using the quadratic formula<\/li>\r\n \t
- Applications of quadratic equations including rectangles, revenue, and distance<\/li>\r\n \t
- Graphing quadratics<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Module 10:<\/h3>\r\n\r\n \t- Introduction to functions and function notation including inverse functions<\/li>\r\n \t
- Exponential and logarithmic functions including compound interest<\/li>\r\n \t
- Trigonometric functions and inverse trigonometric functions<\/li>\r\n<\/ul>\r\nLength: Two semesters<\/strong>\r\n\r\nDelivery:\u00a0<\/strong>This course has been taught face to face and as an online course.\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
Online Content<\/h2>\r\nEach module of the fully integrated Lumen OHM course contains\u00a0two kinds of assessments:\r\n\r\n \t- Video Lessons:<\/span> \u00a0These assessments contain video lessons. \u00a0After each video there are two questions that correspond with the examples in the video. \u00a0These assessments are intended as learning materials. \u00a0Optionally, there are workbooks<\/a> available to guide students in taking notes on the videos.<\/li>\r\n \t
- Practice: \u00a0<\/span>These assessments contain additional problems beyond the types covered in the video lessons. \u00a0These assessments are intended to serve the role of homework. \u00a0Video help is turned off on these assignments so students have to practice without video help.<\/li>\r\n<\/ul>\r\n\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
\r\nVideo Lesson<\/h3>\r\n
Video Lesson<\/h3>\r\n\r\n\r\n<\/div>\r\nOnline Practice Problems\r\n<\/h3>\r\nOnline Assessment Features<\/h2>\r\nMany questions in the Lumen OHM libraries are randomized, algorithmic questions. Students get immediate feedback after they submit an answer. Question types include:\r\n\r\n \t- Entering an integer, fraction, decimal<\/li>\r\n \t
- Graphing<\/li>\r\n \t
- Reading information from a graph<\/li>\r\n \t
- Multiple choice<\/li>\r\n \t
- Free-writing (instructor graded)<\/li>\r\n<\/ul>\r\n
<\/h3>\r\n![\"Screen](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1763\/2017\/04\/21171705\/Screen-Shot-2016-09-30-at-2.53.41-PM-300x254.png\")
<\/td>\r\n![\"Screen](\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1763\/2017\/04\/21171707\/Screen-Shot-2016-09-30-at-2.55.55-PM-300x245.png\")
<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nBecause of the open license on the libraries of questions in Lumen OHM, you are also free to edit and create your own questions with the question writing tools.\r\n