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Worksheet
Mt. San Antonio Collage

Circles

For Students 9th - 12th Standards
Don't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated instructional activity provides guided practice through many topics such as central angles,...
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Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
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Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
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Unit Plan
Mathematics Vision Project

Module 1: Transformations and Symmetry

For Teachers 9th - 12th Standards
No need to change anything about the resource. The first of eight modules in the MVP Geometry unit focuses on transformations in the coordinate plane. It connects translations, rotations, and reflections to congruence, symmetry, and...
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Assessment
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Balanced Assessment

Oops! Glass Top

For Students 9th - 12th Standards
 A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the...
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Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
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Lesson Plan
Mathematics Assessment Project

Solving Problems with Circles and Triangles

For Teachers 9th - 12th Standards
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
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Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
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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...
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Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
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Lesson Plan
Curated OER

Secants, Tangents and Arcs

For Teachers 9th - 12th Standards
Students 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.
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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...
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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...
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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, young scholars explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor...
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Lesson Plan
Curated OER

Linear Approximation

For Teachers 9th - 12th Standards
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Trig Tour

For Students 9th - 10th Standards
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
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Lesson Plan
Better Lesson

Better Lesson: Algebra Ii: The Trigonometric Functions

For Teachers 10th - 12th Standards
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Circles, Segments, and Area

For Students 9th - 10th Standards
A wealth of resources to supplement instruction on parts of the circle. Find lessons describing chords, tangents, secants, and segments, as well as related practice quizzes and classroom activities.
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Unit Plan
Cuemath

Cuemath: Tangent

For Students 9th - 10th Standards
Learn about the tangent definition in geometry, tangent geometry, tangent to a circle, tangent line equation. Check-out the solved examples for better understanding and try your hand at the tangent line calculator or solving a few...
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Unit Plan
Cuemath

Cuemath: Tangent Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about tangent functions with definitions, tangent formula, tangent meaning, range and domain of the tangent function, tan function graph, trigonometric ratios, trig identities, solved examples, and...
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Handout
Cuemath

Cuemath: Cosecant, Secant and Cotangent Functions

For Students 9th - 10th Standards
Features graphs of the trigonometric functions cosecant, secant, and cotangent. Includes solved examples and practice questions.
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Interactive
Curated OER

Trig Function Point Definitions

For Students 9th - 10th Standards
A java applet that relates the unit circle to the graphs of the six trigonometric functions, complete with the values of the functions.
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Activity
Wolfram Research

Wolfram Math World: Inverse Tangent

For Students 9th - 10th Standards
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
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Lesson Plan
Texas Instruments

Texas Instruments: Relationship Between Radius and Tangent to a Circle

For Teachers 9th - 10th Standards
Generalize that a tangent and a radius form a 90-degree angle.