Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Curated OER
Lesson Plan Outline for Rainbow Science
Young scientists study light reflection and refraction as they determine the critical angle, the rainbow angle, and color separation in rainbows. Teams record the data they collect in a shared spreadsheet and discuss results with the class.
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.
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...
National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
PBS
Map a Model Solar System
Creating a solar system map is a snap thanks to a hands-on activity! Science scholars explore the solar system by building it wherever they choose during an interactive from PBS's Space series. Users pick both the location and scale for...
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
Curated OER
Looking at Circumference
Students understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
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 their...
Concord Consortium
Center of Population
Let the resource take center stage in a lesson on population density. Scholars use provided historical data on the center of the US population to see how it shifted over time. They plot the data on a spreadsheet to look the speed of its...
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...
Charleston School District
Review Unit 8: Geometry Applicaitons
Pupils complete a review worksheet that highlights the key problems from the first eight lessons in the series. Topics include the Pythagorean Theorem and its converse, as well as finding volume of three-dimensional figures.
ConnectED
Crime Scene Investigation
How exactly does a crime scene investigation work? The resource, a unit on criminology, covers everything from the deductive reasoning skills needed for detectives to DNA fingerprinting, all the way to how to gather evidence and bring...
National Institute of Open Schooling
d-Block and f-Block Elements
Potassium permanganate, containing manganese one of the transition elements, has many uses such as mouthwash and propelling rockets, making it is a very diverse compound. The lesson delves into such transition elements and lanthanides,...
University of Texas
Matter and the Periodic Table Chemical Families and Periodic Trends
Is assembling the periodic table as simple as Tetris? Scholars arrange colored cards into a logical order and then make connections to the arrangement of the periodic table. Hands-on activities include adding trend arrows and analyzing...
National Nanotechnology Infrastructure Network
What’s In Your Neighborhood?
Chart your way to an understanding of nanoscale. Using a Google map, learners estimate a radius around their location of 1,000 and 1,000,000 meters. Predicting what 1,000,000,000 meters would look like takes them off the charts!...
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.
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Flipped Math
Circles and Arc Lengths
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Curated OER
Space Circles
Fifth graders calculate the diameters and radius of planets as a book is read to them. In this diameter and radius lesson plan, 5th graders read the book Space Circles and calculate the measurements based on the information in this book.
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Beacon Learning Center
The Fun Polygon
Junior geometers use hands-on manipulatives to explore and describe the properties and attributes of a fundamental polygon, the triangle. They learn different kinds of angles and their measurements. This well-written lesson plan provides...
Curated OER
Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
EngageNY
Rectangles Inscribed in Circles
Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a...