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...
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.
Lesson Plan
Curated OER

Secants, Tangents and Arcs

For Teachers 9th - 12th Standards
Students identify chords and angles. In this geometry instructional activity, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
Lesson Plan
Curated OER

Intersecting Lines and Segments of Measures

For Teachers 8th - 12th Standards
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor outside the...
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.
AP Test Prep18:38
1
1
Flipped Math

Calculus AB/BC - Average and Instantaneous Rate of Change

For Students 10th - 12th
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
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 lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....
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,...
Lesson Plan
EngageNY

Why Call It Tangent?

For Students 10th - 12th Standards
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Learners differentiate between parallel and perpendicular lines. In this algebra instructional activity, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Instructional Video16:21
2
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...
Lesson Plan
EngageNY

The Inscribed Angle Alternate – A Tangent Angle

For Teachers 9th - 12th Standards
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...
Lesson Plan
Curated OER

Symmetric Secant

For Teachers 9th - 12th Standards
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
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.
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...
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...
Worksheet
Curated OER

Tangent Lines

For Students 10th
In this tangent lines worksheet, 10th graders solve and complete 13 various types of problems. First, they solve the right triangles for the variables shown. Then, students name a radius, a diameter, a tangent, a secant, a point of...
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.
Lesson Plan
Curated OER

Chors, Secants, Tangents

For Teachers 9th - 12th
Learners identify the relationship between chords, secants and circles. In this geometry lesson, students calculate the length of the chords. They sketch the secant lines on a circle.
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...
Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Lesson Plan
Curated OER

Secant and Tangent Lines

For Teachers 12th
Twelfth graders recognize the use of the slope of the secant line and connect it with the graph of the secant line, as the secant line approaches the tangent line. They also recognize the two forms of the slope formula used and practice...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th Standards
Learn how to evaluate the derivatives of polynomials.  Mathematicians find the derivative of a quadratic function and determine the value at a given value.  Young scholars compare the slope of the secant line through two points...
Lesson Plan
Texas Instruments

Mean Value Theorem

For Teachers 9th - 12th Standards
Students calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.