Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math lesson plan, learners manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity...
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
EngageNY

Equations for Tangent Lines to Circles

For Teachers 9th - 12th Standards
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
Curated OER

Secants, Tangents and Arcs

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

Segments Formed by Intersectiong Chords, Secants, and Tangents

For Teachers 9th - 12th Standards
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding segment relationships.
Lesson Plan
Curated OER

Circles and Angles

For Teachers 9th - 11th
Students identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Students perform operation with secant and tangent lines. In this calculus instructional activity, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a...
Lesson Plan
Curated OER

Circle Conjectures

For Teachers 9th - 11th Standards
Students are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...
Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
Lesson Plan
Curated OER

Tangents to a Circle

For Teachers 9th - 10th
Learners construct tangent lines. In this geometry instructional activity, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
Lesson Plan
Curated OER

Chors, Secants, Tangents

For Teachers 9th - 12th
Students 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
Curated OER

Circles

For Teachers 10th
Tenth graders explore and define the radius and diameter of a circle. In this geometry activity, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords and lines...
Lesson Plan
Curated OER

Circle Packing

For Teachers 9th - 10th
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Lesson Plan
Curated OER

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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

Solving Intercepted Arcs

For Teachers 9th - 11th
Students investigate circles and its arcs. In this geometry lesson plan, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
Lesson Plan
Curated OER

Power of a Point

For Teachers 9th - 11th
Learners solve problems by finding the radius or diameter. For this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
Lesson Plan
Curated OER

Positive and Negative Angles and Arcs

For Teachers 9th - 12th Standards
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Lesson Plan
Curated OER

Trigonometry Ratios

For Teachers 9th - 12th Standards
Young scholars identify the different angles and sides of a triangle. For this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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...