- Course type: Self-paced
- Available Lessons: 224
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What are the Different Types of Numbers?
Course SummaryThis Trigonometry Curriculum Resource & Lesson Plans course is a fully developed resource to help you organize your lesson plans and teach trigonometry. 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 trigonometry 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 trigonometry, from number types and properties to function operations and polar coordinates. 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 trigonometry course.
- Lessons - Within each chapter are video lessons that further break down topics into bite-sized chunks. These lessons cover single topics like quadratic inequalities or piecewise functions. 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 inscribed and circumscribed figures includes key terms like vertex and tangent.
As you work on your trigonometry 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 polynomial functions 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 graph symmetry and trigonometric ratios.
- Assign For Homework - Each lesson in the course, from number types to regular polygons, 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 trigonometric identities or analytic geometry? The transcripts cover each topic in depth, with key terms highlighted for quick reference.
- Student Reading - Perhaps you'd like your students to review the parts of a graph, 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 trigonometric functions, you can point your students to the transcripts on the unit circle, special right triangles, the law of sines, 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 problem-solving steps for quadratic equations to methods for graphing trigonometric functions.
- Tests - You can meld the material in the quizzes into your own student assessments, saving you valuable time. Need a few questions on polar coordinates and parameterizations? There are plenty!
- Discussions - Jump-start a discussion with questions like: How do you write the equation for a parabola in vertex form?
Below is a sketch of the trigonometry curriculum modeled on a 29-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||Real Numbers: Types and Properties||Rational numbers, the commutative and associative properties, the multiplication property of zero|
|Week 2||Working with Linear Equations||Slope-intercept form, zero and undefined slope, equations of parallel and perpendicular lines, point-slope formula|
|Week 3||Working With Inequalities||Set notation and systems of inequalities, absolute value inequalities, 1- and 2-variable inequalities|
|Week 4||Absolute Value Equations||Absolute value expressions, problem-solving steps for absolute value equations, transformations of an absolute value's graph|
|Week 5||Working with Complex Numbers||Imaginary numbers, arithmetic operations with complex numbers, graphs on the complex plane|
|Week 6||Systems of Linear Equations||Graphs of linear systems, methods for solving linear systems with two or three variables|
|Week 7||Mathematical Modeling||Algebraic expressions for 2-dimensional geometric figures, breakeven point, market equilibrium, minimum and maximum values|
|Week 8||Introduction to Quadratics||The quadratic formula, quadratic inequalities, quadratic equation problem-solving steps|
|Week 9||Working with Quadratic Functions||Parabolas, quadratics with a non-1 leading coefficient, uses of the FOIL and area methods, systems of quadratic inequalities|
|Week 10||Coordinate Geometry Review||Parts of a graph, the midpoint and distance formulas, methods for calculating a line's slope|
|Week 11||Functions for Trigonometry||Function notation, domain and range, power functions, radical functions, piecewise functions, transformations of function graphs|
|Week 12||Understanding Function Operations||Arithmetic operations with functions, function composition, composite and inverse functions, 1-to-1 functions|
|Week 13||Graph Symmetry||Symmetry about the x-axis and y-axis, symmetry about the origin, the line of symmetry, even and odd functions|
|Week 14||Graphing with Functions||Methods for simplifying polynomial functions, slopes and tangents, horizontal and vertical asymptotes, implicit functions|
|Week 15||Polynomial Functions Basics||Polynomial graphs, intervals of polynomial functions, short and long run behavior, Pascal's triangle|
|Week 16||Higher-Degree Polynomial Functions||Steps for factoring polynomials, arithmetic operations with polynomials, the remainder theorem, the fundamental theorem of algebra|
|Week 17||Rational Functions & Difference Quotients||Expressions of rational functions, the geometric interpretation of the difference quotient, problem-solving steps for equations with rational functions|
|Week 18||Rational Expressions and Function Graphs||Arithmetic operations with rational expressions, graphs of rational functions|
|Week 19||Exponential Functions & Logarithmic Functions||Exponential growth and decay, the natural log, logarithmic properties, the change of base formula|
|Week 20||Using Trigonometric Functions||The unit circle, special right triangles, the law of sines and the law of cosines, the double angle formula|
|Week 21||Triangle Trigonometry||Trigonometric ratios, sines and cosines of complementary angles, the Pythagorean theorem|
|Week 22||Trigonometric Graphs||Sine and cosine transformations, graphs of tangent and cotangent functions, graphs of cosecant and secant functions|
|Week 23||Solving Trigonometric Equations||Inverse trigonometric functions, trigonometric equations with restricted domains or infinite solutions, the sinusoidal function|
|Week 24||Trigonometric Identities||Pythagorean identities, reciprocal identities, double-angle and half-angle identities, product-to-sum and sum-to-product identities|
|Week 25||Trigonometric Applications||Real-world applications for the law of sines and the law of cosines, the addition and subtraction formulas for sine, cosine, and tangent|
|Week 26||Analytic Geometry and Conic Sections||Graphs of ellipses, circle circumference, the standard form of an equation for hyperbolas and parabolas|
|Week 27||Vectors, Matrices, and Determinants||The dot product of vectors, matrix row operations, inverse matrices, Gaussian and Gauss-Jordan elimination, determinants|
|Week 28||Polar Coordinates and Parameterizations||Complex numbers in polar form, graphs of parametric equations, polar and parametric forms of conic sections|
|Week 29||Circular Arcs, Circles, & Angles||Inscribed angles, radii and chords, inscribed and circumscribed figures, arc length, tangents, chords and secants, regular polygons|
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