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AP Test Prep14:02
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Flipped Math

Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)

For Students 10th - 12th
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
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Worksheet
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Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions. 
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Instructional Video13:36
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2
Flipped Math

Unit 11 Review: Circles

For Students 9th - 12th Standards
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
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Instructional Video16:21
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2
Flipped Math

Secants and Tangents

For Students 9th - 12th Standards
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
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Interactive
CK-12 Foundation

Slope of a Tangent Line: Slope of the Tangent and Secant Lines

For Students 11th - Higher Ed
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
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Interactive
CK-12 Foundation

Average and Instantaneous Rates of Change

For Students 11th - Higher Ed
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
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Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
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Interactive
CK-12 Foundation

Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding

For Students 10th - 12th Standards
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
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Lesson Plan
Virginia Department of Education

Angles, Arcs, and Segments in Circles

For Teachers 9th - 11th Standards
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
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Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
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Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
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Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
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Lesson Plan
EngageNY

Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams

For Teachers 9th - 12th Standards
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
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Lesson Plan
EngageNY

Secant Angle Theorem, Exterior Case

For Teachers 9th - 12th Standards
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous activity to investigate angles created by secant lines that intersect at a point exterior to the circle....
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Lesson Plan
EngageNY

Secant Lines; Secant Lines That Meet Inside a Circle

For Teachers 9th - 12th Standards
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
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Lesson Plan
EngageNY

Properties of Tangents

For Teachers 9th - 12th Standards
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency, and...
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Lesson Plan
Curated OER

Worksheet 10 - Limits

For Teachers Higher Ed
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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Lesson Plan
Curated OER

Exploring Circles

For Teachers 9th - 12th
Students explore circles using a graphing calculator. In this circles activity, students write the equation of a circle with a given center and radius length. Students find the most appropriate model for each combination of data they...
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Lesson Plan
Curated OER

Worksheet Five - Limits

For Teachers Higher Ed
In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
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Lesson Plan
Curated OER

Worksheet 8 - Limit of Slopes

For Teachers Higher Ed
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Segment Formulas Homework

For Students 9th - 12th
In this geometry worksheet, learners examine three different diagrams and apply the appropriate formulas to each of the following situations: two chords, a tangent and a secant, and two secants. There are 17 questions to solve for the...