101 Questions
Penny Circle
Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...
101 Questions
Coins in a Circle
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
101 Questions
Ferris Wheel
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
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...
MENSA Education & Research Foundation
Pi Day Fun!
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Curated OER
Model Air Plane Acrobatics
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
Curated OER
As the Wheel Turns
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
Khan Academy
Challenge: Your First Painting App
Ever wonder how those neat painting applications work? Completing this coding activity will give you some insight. First, starting with a simple function that draws a small circle as the mouse moves around the screen, adjust the function...
English With Jennifer
Conversation Pieces: A Verb Tense Activity
Teach your English language learners about conversations by inviting them to participate in a conversation about an interesting object. Through this conversation, learners will naturally use various verb tenses and practice asking...
Curated OER
3-D Cell Model
Life science laureates choose a plant or animal cell to construct a model of as an at-home project. This handout provides guidelines, suggested materials, and a grading rubric for their reference. A full-page letter to parents is also...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
Texas Instruments
Texas Instruments: Circular Functions
In this activity, students find intercepts of circular function graphs. They also investigate the characteristics of such graphs.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Circular Functions, Periodicity and Symmetry
Eighteen problems offer practice working with circular functions, periodicity and symmetry. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Texas Instruments
Texas Instruments: Exploring the Unit Circle
In this activity, students explore the properties of a unit circle and its mapping functions.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing and Functions
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Analyze Math
Analyze Math: Applications and Use of the Inverse Functions
Learners explore applications of inverse functions. Topics investigated are angle of elevation, range, and right circular cones. The activity includes examples on uses of inverse functions in real situations with detailed solutions.
Texas Instruments
Texas Instruments: Trig Values of the Unit Circle
This is a LearningCheck quiz to evaluate students on the special angles of the unit circle.
Analyze Math
Analyze Math: Special Angles on Unit Circle
Learners explore the special angles between 0 and 2 pi on a unit circle. The special angles can be used to solve trigonometry problems.
Clark University
Clark University: Dave's Short Trig Course: Trigonometric Functions
The Clark University site shows and explains the graphs of the six trigonometric functions. It explains how to find an arbitrary angle measurement using trig. Also, it explains that sine and cosine functions are complementary.
Texas Instruments
Texas Instruments: "The Sound of Music"
This activity will use tuning forks and the CBR to gather sound wave data for students to use to write Sine (or Cosine) functions. In this activity we study waves of known musical notes before studying waves of unknown musical notes. I...