EngageNY
Unknown Angle Problems with Inscribed Angles in Circles
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The activity then...
EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...
Adrian College
The Universe
Young scientists create a simulation of Hubble's law. Introducing the Big Bang Theory using balloons and a simple lab worksheet, scholars complete a data table and perform analysis.
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
International Technology Education Association
Sizing Up the Clouds
How much rain can that cloud make? Through a simulation, the class estimates the amount of candy rain contained in different cup clouds. After probing the clouds using different methods, class members adjust their estimates. Participants...
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
EngageNY
Copy and Bisect an Angle
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
Rainforest Alliance
Trees and Carbon
You'll find everything but the kitchen sink here ... or just a carbon sink. In the activity, pairs or groups of middle school learners go outside and measure a tree's circumference and height to estimate its carbon storage potential and...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
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.
PHET
AM Radio Ionosphere Station
Tune in! Young scientists use an AM radio at home to monitor solar output. The long-term project would be ideal in a flipped classroom or as an out-of-class project.
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
K5 Learning
Space Based Astronomy
How much astronomy can you study with the naked eye? Learn more about the ways scientists explore the galaxy with a short reading passage and set of short-answer questions.
International Technology Education Association
Dampen That Drift!
The spacecraft is drifting too far off course! Two games help explain how a spacecraft can use its thrusters to maintain its position. The games have pupils be the components of vectors in order to create and counteract the...
University of Colorado
Terra Bagga
Earth's magnetic poles switch positions about every 200,000—300,000 years. In the activity, groups create a planet with a magnetic field. Once made, they use a magnetometer to determine the orientation of the planet's magnetic field....
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 4
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
University of Colorado
Terra Bagga
One way to identify possible volcanic activity on other planets is by testing the planet for magnetism. A science lesson plan begins with pupils constructing their own planet from a dead battery, magnets, paper, and tape before...
Energy for Keeps
Going for a Spin: Making a Model Steam Turbine
Discover the effectiveness of wind, water, and steam as energy sources. The hands-on activity has young scientists create a turbine from common materials. After constructing the turbines, they use wind, water, and steam to turn them and...
National Institute of Food and Agriculture
Water Supply
Participate in three activities that look at the earth's limited water supply and the changes water goes through as it enters each phase of the water cycle. The resource is complete with three activities that demonstrate the changing...
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