- Course type: Self-paced
- Available Lessons: 81
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What are the Different Types of Numbers?
Course SummaryThis College Algebra Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach algebra. 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 algebra 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 algebra, from linear equations and rational expressions to exponents and polynomials. 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 algebra course.
- Lessons - Within each chapter are video lessons that further break down topics into bite-sized chunks. These lessons cover single topics like imaginary numbers or the parts of a graph. 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 transformations of graphs includes key terms like rotations, reflections, dilations, and translations.
As you work on your algebra 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 rational expressions 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 the binomial theorem and graphs of cubic functions.
- Assign For Homework - Each lesson in the course, from the types of numbers to arithmetic and geometric series, 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 inequalities or probability mechanics? 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 the applications of linear systems, 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 exponents and polynomials, you can point your students to the transcripts on rational exponents, synthetic division, 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 graphs of linear equations to methods for performing arithmetic operations with polynomials.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on complex numbers? There are plenty!
- Discussions - Jump-start a discussion with questions like: How do you write the standard formula for an arithmetic sequence?
Below is a sketch of the algebra syllabus modeled on an 11-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||Foundations and Linear Equations||Parts of a graph, standard and slope-intercept forms of linear equations, undefined and zero slope, systems of equations|
|Week 2||Matrices and Absolute Value||Determinants, absolute value expressions and equations, dilations and reflections of an absolute value's graph|
|Week 3||Inequalities||1- and 2-variable inequalities, compound inequalities and systems of inequalities, set notation, absolute value inequalities|
|Week 4||Factoring with FOIL, Graphing Parabolas, and Solving Quadratics||Forms of parabolas, multiplication with the FOIL and area methods, the quadratic formula|
|Week 5||Complex Numbers||Imaginary numbers, arithmetic operations with complex numbers, the complex plane, methods for solving quadratics with complex numbers as the solution|
|Week 6||Exponents and Polynomials||The five main exponent properties, zero and negative exponents, rational exponents, graphs of higher degree polynomials, long division and synthetic division|
|Week 7||Rational Expressions||Addition and subtraction with rational expressions, rational equation problem-solving steps|
|Week 8||Functions||Function domain and range, transformations of function graphs, arithmetic operations with functions, function composition|
|Week 9||Exponentials and Logarithms||Exponential growth and decay, logarithmic properties, exponential and logarithmic equations|
|Week 10||Probability Mechanics||Factorials, applications of the binomial theorem|
|Week 11||Sequences and Series||Methods for classifying arithmetic and geometric sequences, steps for calculating arithmetic and geometric series|
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