- Course type: Self-paced
- Available Lessons: 108
- Average Lesson Length: 8 min
Eligible for Certificate: Yes
Certificates show that you have completed the course. They do not provide credit.
Watch a preview:chapter 1 / lesson 1What are the Different Types of Numbers?
Course SummaryThis College Mathematics Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach college mathematics. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
How It Works
You can use this college mathematics course as a template for designing and implementing your course. Here are the key components of the course and how you can use them:
- Chapters - Each chapter covers a unit of college mathematics, from linear equations and polynomial functions to statistics and geometry. Use these chapters as mile markers as you map out your course. We recommend planning to spend a week on each chapter, but you can always allocate the chapters according to the length of your specific college mathematics course.
- Lessons - Within each chapter are video lessons that further break down topics into bite-sized chunks. These lessons cover single topics like inverse functions or absolute value inequalities. Each one is often appropriate for a single class.
- Key Terms - Within each lesson are key terms. These are emphasized on screen and in the transcript. As you develop your syllabus, these key terms help you focus on the most important learning objectives. For example, the lesson on standard deviation includes key terms like normal distribution and variance.
As you work on your college mathematics lesson plans, save time by incorporating video lessons from this resource. Here's how:
- Introduce Topics - Your students will be in the right mindset for understanding topics like complex and imaginary numbers if you begin class with a short video. It can be a jumping-off point for a lecture, group activity, or class discussion.
- Break Up Lectures - The video format, which often includes animation, helps students visualize topics like exponential growth and mathematical sets.
- Assign For Homework - Each lesson in the course, from number properties to angle types, can be assigned to your students as homework.
Each video lesson includes a complete transcript. You can utilize these transcripts in several ways:
- Lecture Notes - Do you need a guide as you plan a lecture, such as one on probability and statistics or quadratic equations? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
- Student Reading - Perhaps you'd like your students to learn about 2-way tables, but you don't have class time available. Assign the transcript as extra reading.
- Study Tools - When it's time for a unit exam on sets, you can point your students to the transcripts on cardinality, the Cartesian product, categorical propositions, and related topics to help them study.
Each video lesson has a corresponding quiz. Here's how to use the quizzes:
- Homework - Assign a quiz to your students as homework. You'll receive an email with the results, which enables you to verify they've completed the assignment and that they've understood the material. Questions cover everything from the use of logic in mathematics to problem-solving steps for polynomial and exponential equations.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on exponent properties? There are plenty!
- Discussions - Jump-start a discussion with questions like: What are the differences between independent and dependent events?
Below is a sketch of the college mathematics syllabus modeled on a 14-week course. This sample can be adapted based on your course schedule. Navigate the chapters and lessons for more detail.
|Week||Unit||Sample of Topics Covered|
|Week 1||Math Foundations||Number types, prime factorization, greatest common factors and least common multiples, parts of a graph, the distance and midpoint formulas|
|Week 2||Linear Equations||Slope-intercept form, undefined slope and zero slope, steps for writing linear equations, graphs of linear systems|
|Week 3||Solving and Graphing Inequalities||Graphs of 1- and 2-variable inequalities, compound inequalities, absolute value inequalities, systems of inequalities|
|Week 4||Graphing and Factoring Quadratic Equations||Parabolas, the FOIL and area methods, problems with a non-1 leading coefficient, the quadratic formula|
|Week 5||Complex and Imaginary Numbers||Arithmetic operations with complex numbers, graphs of complex numbers on the complex plane, quadratics with complex numbers as the solution|
|Week 6||Properties of Exponents||Exponent properties and their applications, steps for defining zero and negative exponents, steps for simplifying rational exponents|
|Week 7||Properties of Polynomial Functions||Graphs of cubic and quartic functions, methods for adding and subtracting polynomials, polynomial multiplication, synthetic and long division|
|Week 8||Simplifying and Solving Rational Expressions||Arithmetic operations with rational expressions, steps for solving rational equations|
|Week 9||Properties of Functions||Function notation, transformations of function graphs, arithmetic operations with functions, function composition, inverse functions|
|Week 10||Logarithms and Exponential Equations||Graphs of exponential growth and decay, logarithmic properties, problem-solving steps for logarithmic and exponential equations|
|Week 11||Logic||Logical fallacies, truth values and truth tables, conditional statements, logical equivalence, conjunctions and disjunctions|
|Week 12||Sets||Unions and intersections, set notation, types of subsets, the Cartesian product, Venn diagrams, categorical propositions, 2-way tables|
|Week 13||Probability and Statistics||Relative and cumulative frequency tables, measures of central tendency, standard deviations, simple conditional probabilities, permutations|
|Week 14||Geometry||Perimeter and area of basic shapes, applications of the Pythagorean theorem, triangle similarity, angle and line types|
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