CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
Curated OER
Tangents to a Circle
Young scholars construct tangent lines. In this geometry lesson, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
Curated OER
Circle Packing
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.
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
Slope and Tangent
Students differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
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
Secants, Tangents and Arcs
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.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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....
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
Curated OER
Investigating the properties of a circle
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
Curated OER
Tangents and Circles
In this tangents and circles worksheet, 10th graders solve 10 different problems that include various tangents and circles. First, they determine in each diagram whether the segments shown are tangents or not. Then, students determine...
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 8 different problems. First, they find the two segments perpendicular to a given circle. Then, students find the line tangent to the circle illustrated and the sides marked. They...
Curated OER
Circles and Ellipses
In this circles and ellipses activity, learners solve and complete 5 different types of problems. First, they write each equation in standard form. Then, students graph and label Write the equation of the ellipse whose center is the...
EngageNY
Secant and the Co-Functions
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.
EngageNY
Geometry Module 5: End-of-Module Assessment
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.
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
Relationship between tangent, secant side length
In this calculus worksheet, students calculate the relationship between a line of tangency and a secant side length. They are given the formulas to solve their problems. There are 9 problems.
Curated OER
Tangent Properties
In this geometry worksheet, 10th graders solve problems based on the properties of lines tangent to one or more circles. Constructions are included. The one page worksheet contains eight questions. Answers are not included.
Curated OER
Worksheet 7 - Asymptote
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
Curated OER
Circular Motion
Pupils investigate circular motion in two different activities. In the first, students observe the path of a rolling marble on a paper plate. In the second, pupils play a game of catch using a tennis ball inside a plastic bag. ...
Curated OER
The Unit Circle
Students solve problems using the unit circle. For this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Curated OER
Triangle and Circle Trigonometry
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
Curated OER
Triangles
In this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...