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 to finding...
101 Questions
Red Carpet
Roll out the red carpet for an exemplary lesson. Using the dimensions of a rolled piece of carpet, learners calculate the dimensions of the flat sample. Pictures provide individuals with the information they need to make a valid conclusion.
Curated OER
Properties of Circles
Students study the properties of circles. In this circles activity, students read a word problem about circles. Students watch a video about the activity and then practice drawing the circle solution to the problem. Students watch...
EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Curated OER
Circles
Students graph circles. In this graphing instructional activity students write equations for circles. Students solve equations for circles and graph the results.
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
Noyce Foundation
Circular Reasoning
Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...
Curated OER
Trends in the Periodic Table
For this trends in the periodic table worksheet, high schoolers plot the ionization energy vs. atomic number and they plot atomic radius vs. atomic number of the first 20 elements. Students analyze their graphs and answer questions about...
Virginia Department of Education
Atomic Structure: Periodic Table
The fifth lesson of seven in the series outlines an in-depth analysis of the periodic table. After direct instruction, pupils take turns practicing in the group before beginning independent study. The assessments include a quiz and an...
Curated OER
Diameter, Radius and Area
Students calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
Curated OER
Don't Be a Square
Students analyze the relationship between radius and diameter. Students read Sir Cumference and the First Round Table then take measurements of circular items from around the room. Students compute the radius, diameter and...
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 Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Surface Area and Volume
In this surface area and volume activity, 8th graders solve 11 various geometry problems that include determining the surface area and volume for the measurements given and finding the surface area for each solid shown. Then they...
Teach Engineering
Microfluidic Devices and Flow Rate
When you have to flow, you have to flow. The lesson introduces class members to microfluidic devices and their uses in medicine. They watch a short video on how the diameter affects the rate of flow. The worksheet has individuals...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th instructional activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must...
Curated OER
Formulas Homework
In this circle formulas worksheet, students solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.
Curated OER
Circle Circus
Third graders find the radius and diameter of a bubble. In this radius and diameter lesson, 3rd graders create bubbles on their desk and find the radius and diameter of the bubble. Students work in partners to define circle terms and...
Curated OER
Spheres Homework
In this spheres worksheet, students determine the volume and area of spheres when given the diameter or radius. This one-page worksheet contains 10 multi-step problems.
Raytheon
Geometry: Circles
In this geometric circumference worksheet, 8th graders calculate the circumference of each of the 18 circles. The remaining pages of the worksheet include formulas and lesson ideas on finding the circumference of circles.
Curated OER
Chapter 8: Circles
In this circles activity, students define and sketch 20 terms about circles. Students sketch radii, chords, diameters, secants, concentric circles, etc.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Yummy Math
Penny Wars
As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...