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...
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...
Flipped Math
Secants and Tangents
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...
Curated OER
Tangents, Secants, and Chords
In this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a...
Curated OER
Tangents
In this tangents worksheet, students determine the length of a missing side of a right triangles. They use tangent lines to solve problems. This two-page worksheet contains 11 multi-step problems.
Curated OER
Tangents Multiple Choice
In this circles activity, students solve 10 multiple choice problems. Students use a diagram of a circle with tangent lines and segment bisectors to answer each question. Students find unknown segment lengths using the given information.
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...
Mathematics Assessment Project
Inscribing and Circumscribing Right Triangles
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...
Project Maths
Trigonometric Functions
From a circle to a cycle! The final lesson plan of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions....
Balanced Assessment
Oops! Glass Top
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...
Curated OER
Chapter 8: Circles
In this circles worksheet, students define and sketch 20 terms about circles. Students sketch radii, chords, diameters, secants, concentric circles, etc.
Curated OER
Circles
For this circles worksheet, 10th graders solve and complete 13 various types of problems. First, they solve each set of triangles for the given variable. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency,...
Curated OER
Tangent Lines
In this tangent lines learning exercise, 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...
Curated OER
Circles Terminology Multiple Choice
In this circles activity, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Curated OER
Circles
In this circles instructional activity, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the...
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...
Curated OER
Worksheet 8 - Limit of Slopes
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.
PHET
Trig Tour
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
Curated OER
Geometry of Circles: Week 7
In this circle worksheet, students determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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.
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...
Curated OER
Slope and Tangent
Students differentiate between the slope and the tangent of the horizontal. In this precalculus instructional activity, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit...
Curated OER
Circle Conjectures
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...