Trigonometry Curriculum Resource & Lesson Plans
 Course type: Selfpaced
 Available Lessons: 224
 Average Lesson Length: 8 min

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chapter 1 / lesson 1What are the Different Types of Numbers?
Course Summary
This 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.to start this course today
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29 chapters in Trigonometry Curriculum Resource & Lesson Plans
Course Practice Test
Check your knowledge of this course with a 50question 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 bitesized 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.
Video Lessons
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 jumpingoff 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.
Transcripts
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.
Quizzes
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 problemsolving 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  Jumpstart a discussion with questions like: How do you write the equation for a parabola in vertex form?
Sample Curriculum
Below is a sketch of the trigonometry curriculum modeled on a 29week 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  Slopeintercept form, zero and undefined slope, equations of parallel and perpendicular lines, pointslope formula 
Week 3  Working With Inequalities  Set notation and systems of inequalities, absolute value inequalities, 1 and 2variable inequalities 
Week 4  Absolute Value Equations  Absolute value expressions, problemsolving 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 2dimensional geometric figures, breakeven point, market equilibrium, minimum and maximum values 
Week 8  Introduction to Quadratics  The quadratic formula, quadratic inequalities, quadratic equation problemsolving steps 
Week 9  Working with Quadratic Functions  Parabolas, quadratics with a non1 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, 1to1 functions 
Week 13  Graph Symmetry  Symmetry about the xaxis and yaxis, 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  HigherDegree 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, problemsolving 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, doubleangle and halfangle identities, producttosum and sumtoproduct identities 
Week 25  Trigonometric Applications  Realworld 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 GaussJordan 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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