Curated OER
Area Of A Circle
Learners investigate the concept of area and how it can be applied to a circle. They use the right formula in order to solve different problems. The teacher leads the class through different examples and serves as a resource during...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
Eratosthenes And Radius of the Earth
Students calculate the radius of the earth. They use the method and data suggested by Eratosthenes. They investigate the interrelationships among mass, distance, force, and time through experimental processes.
Curated OER
Area of Triangle using the Semi-Perimeter and Radius
Students investigate the properties of circles. In this geometry lesson, students calculate the area and perimeter of a triangle. They identify the perimeter and radius length of a circle.
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.
Curated OER
Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator. This worksheet should be completed in fifty-five minutes.
Curated OER
Surface Area of Cylinder Worksheet
In this surface area learning exercise, students are given either the diameter or radius and the height of 8 cylinders. They calculate the surface area.
Balanced Assessment
Bumpy-Ness
Develop a new measure of the properties of an object. Scholars develop a definition and formula to measure the bumpy-ness of an object. They utilize their formulas to find the property for several spherical objects.
Curated OER
Black Holes IV
In this black holes worksheet, students read about black holes and solve 3 problems where they calculate the Schwarschild radius of one, the number of grams/second a quasar luminosity implies for another and the number of suns per year a...
Curated OER
A Mathematical Model of the Sun
In this mathematical model of the sun instructional activity, learners read about the way scientists use the sun's radius and mass to determine a mathematical model of the sun using the volume of a sphere, and the relationship between...
Curated OER
Seeing Solar Storms in STEREO-I
In this geometric calculations of solar storms activity, students use a diagram indicating the location of 2 STEREO satellites, the earth and the sun to calculate the distance between a Coronal Mass Ejection and the Earth. They use...
Curated OER
Deep Impact Comet Encounter
Physics apprentices analyze the impact of NASA's Impactor as it collided with the comet Tempel 1 in July of 2005. They calculate the mass and speed of the comet, along with the distance it might drift off of its orbit over time. This...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Las Cumbres Observatory
Measure the Age of Ancient Cosmic Explosions
Supernova explosions mark the end of a star's life. Guide the class through an investigation that uses data to calculate the age of a supernova remnant. Using provided data and online software, they analyze data to determine the radius...
101 Questions
Rotonda West, FL
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Curated OER
Circle Area, Perimeter and Circumference
Use this geometry skills practice activity to have learners solve seven problems that require them calculate the circle area, perimeter, and circumference of circles.
Curated OER
Chapter 8 Worksheet 3 Circumference & Area
In this circumference and area worksheet, students determine the circumference and area of given circles. They find the area of shaded regions of circles and areas around circles. This two-page worksheet contains 18 multi-step problems.
Curated OER
Verbal and Algebraic Expressions
In this expressions worksheet, students solve and complete 30 various types of problems that include defining both verbal and algebraic expressions. First, they translate each verbal expression into an algebraic expression and vice...
Curated OER
Area of Sectors
In this area of sectors worksheet, students find the area of a given sector, area of inscribed figures, and area of shaded regions. This two-page worksheet contains 20 problems. An answer sheet is provided on the third page.
Curated OER
Radius, Diameter and Circumference of Circles
In this circles worksheet, students calculate either the radius, diameter and circumference of a set of 4 circles, one measurement is given for each circle, students calculate the remaining 2.
Curated OER
Shot Put Arc
Students complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of...
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Illustrative Mathematics
Eight Circles
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...