Curated OER
Chors, Secants, Tangents
High schoolers identify the relationship between chords, secants and circles. In this geometry activity, students calculate the length of the chords. They sketch the secant lines on a circle.
Curated OER
Finding the Sum of the Perimeters of 3 Small Circles
In this geometry worksheet, students find the sum of the perimeters of three small circles. These small circles are tangent to each other and to a larger circle. The centers of the small circles have their centers on the diameter of...
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Virginia Department of Education
Angles, Arcs, and Segments in Circles
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...
Illustrative Mathematics
Two Wheels and a Belt
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...
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Curated OER
Tangent Properties
In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
Curated OER
The Tangent Ratio
In this geometry worksheet, students have to calculate the tangent ratio, given the values of the sides of a triangle. Students should be familiar with basic trig functions. There is an answer key.
Curated OER
Segment Formulas Homework
In this geometry learning exercise, students 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...
Curated OER
Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
Curated OER
Geometry Worksheet: Area (6)
In this geometry worksheet, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle. The one page worksheet contains a drawing of and an explanation of...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Curated OER
Sine
In this sine learning exercise, 10th graders solve 10 different problems that include finding the sine in each figure shown. They determine the value of x in each situation. Then, students use the tangent line of the given angle to solve...
Mr. Williams Maths
Eight Circle Theorems Page
Your learners will find these circle theorems nicely organized with diagrams included that present the geometric relationships between the circle circumference, chords, central and circumference angles and tangents.
Curated OER
Segment Formulas Multiple Choice
In this geometry worksheet, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length. The one page interactive worksheet contains ten problems. Answers are included.
Curated OER
Geometry Regents Bimodal
For this geometry worksheet, students solve problems that are bimodal. They define properties of circles and triangles. There are 117 questions.
Curated OER
Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, pupils solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Curated OER
Parametric Equations
In this calculus and analytic geometry learning exercise, students explore parametric equations, tangent lines and the loop of curves in six equations.
Curated OER
Circles
In this geometry worksheet, 10th graders apply the circle segment theorems to determine the indicated segment length. The one page worksheet contains twenty problems. Answers are not provided.
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry instructional activity, 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...
Curated OER
Arc and Angles Formed by Secants and Tangents
In this calculus instructional activity, students solve problems by finding the line of tangency and measure of the arcs and angles form by a secant line. There are 9 questions.
Concord Consortium
Shooting Arrows through a Hoop
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...
Curated OER
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....