- Course type: Self-paced
- Available Lessons: 253
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What Is a Number Line?
Course SummaryThis Algebra I Curriculum 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 curriculum 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 basic arithmetic to some notable and useful equations, including the Pythagorean theorem and the quadratic formula. 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 finding square roots or evaluating algebraic expressions. 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 the definition of a matrix includes key terms like brackets, rows, columns, coefficients and linear algebra.
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 graphing inequalities 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 how to solve multi-step word problems and how a number line works.
- Assign For Homework - Each lesson in the course, from determining the absolute values of real numbers to multiplying exponential expressions, 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 radicands of radical expressions or words associated with common algebraic symbols? 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 price discounts and sales taxes, 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 complex and imaginary numbers, you can point your students to the transcripts on how to add, subtract, multiply and divide with complex numbers, how to graph with complex numbers and how to solve quadratics with complex numbers 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 practice problems with absolute values to key facts, like the definition of diameter.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on cubic equations? There are plenty!
- Discussions - Jump-start a discussion with questions like: How are the payments on a monthly loan calculated?
Below is a sketch of the algebra curriculum modeled on a 24-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||Basic Arithmetic||Number lines, how to add, subtract, multiply and divide, graphs, basic algebra terms|
|Week 2||Solving Math Word Problems||Methods of solving various types of word problems, including how to personalize a word problem|
|Week 3||Decimals and Fractions||The order of decimals, performing operations with decimals, reducing fractions|
|Week 4||Percent Notation||Converting decimal notations to percent notation, converting percent notation to decimal notation|
|Week 5||Real Numbers||Types of numbers, graphing rational numbers, absolute values|
|Week 6||Exponents and Exponential Expressions||Using exponential notation, scientific notation, performing operations with exponential expressions|
|Week 7||Radical Expressions||Finding the square root, how to simplify expressions containing a square root, radical equations|
|Week 8||Algebraic Expressions and Equations||Writing arithmetic expressions, math formulas, definition of an algebraic expression|
|Week 9||Properties of Functions||Using function notation, composing functions, inverse functions, practice with function operations|
|Week 10||Matrices and Absolute Value||Definition of a matrix, definition of absolute value, graphing an absolute value and absolute value equations|
|Week 11||Working with Inequalities||Definition of inequalities, graphing absolute value inequalities, translating number sentences to inequalities|
|Week 12||Properties of Exponents||Main exponent properties, simplifying expressions with exponents, simplifying expressions with rational exponents|
|Week 13||Complex and Imaginary Numbers||Definition of imaginary number, performing operations with complex numbers, graphing complex numbers|
|Week 14||Algebraic Distribution||Order of operations for distribution, distributing positive and negative signs, numbers and variables, fractional powers|
|Week 15||Linear Equations||Real life examples of linear equations, applying the distributive property, writing linear equations|
|Week 16||Factoring||The purpose of factoring, prime factorization, combining numbers and variables|
|Week 17||Quadratic Equations||Displaying information through tables and graphs, definition and examples of parabolas, using FOIL and the quadratic formula|
|Week 18||Polynomial Functions||Using long division and synthetic division to divide polynomials, performing operations with polynomials with several variables|
|Week 19||Rational Expressions||Performing operations with rational expressions, practice problems, complex rational expressions|
|Week 20||Cubic Equations||Definition and examples of cubic equations, solving cubic equations, changing radical equations to linear or quadratic equations|
|Week 21||Measurement and Geometry||Units of measurement, converting measurements, types of angles|
|Week 22||Calculations, Ratios, Percent and Proportions||Definitions of ratio and rate, solving applications of proportion, solving interest problems|
|Week 23||Data, Statistics and Probability||Independent and dependent events, calculating mean, median, range and mode, reading bar graphs and pie charts|
|Week 24||Well-Known Equations||Theory of relativity, the Pythagorean theorem, Euler's identity|
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