![Maths Challenge: Annulus](https://openspace.infohio.org/static/newdesign/images/materials/default-thumbnail-index.png)
An annulus of a circle is defined and then a proof like problem is posed involving area and radius of circles.
- Subject:
- Mathematics
- Material Type:
- Lesson
- Provider:
- MathsChallenge.net
- Date Added:
- 08/07/2023
An annulus of a circle is defined and then a proof like problem is posed involving area and radius of circles.
A "three star" geometry problem which requires prior math problem solving skills and proof writing skills to solve this "Bag of Balls" radius of balls problem.
The periodic table of elements is one of the greaest achievement in chemistry, and understanding its arrangment helps us to understand many aspects of chemistry. This pathway provides resources to understand several of the trends on the periodic table, such as electronegativity and the number of bonds an atom can form.
Gain an understanding of how to find the diameter of a circle by viewing an example and a video lesson. [1:01]
Students build scale models of objects of their choice. In class they measure the original object and pick a scale, deciding either to scale it up or scale it down. Then they create the models at home. Students give two presentations along the way, one after their calculations are done, and another after the models are completed. They learn how engineers use scale models in their designs of structures, products and systems. Two student worksheets as well as rubrics for project and presentation expectations and grading are provided.
Students review what they know about the 20 major bones in the human body (names, shapes, functions, locations, as learned in the associated lesson) and the concept of density (mass per unit of volume). Then student pairs calculate the densities for different bones from a disarticulated human skeleton model of fabricated bones, making measurements via triple-beam balance (for mass) and water displacement (for volume). All groups share their results with the class in order to collectively determine the densities for every major bone in the body. This activity prepares students for the next activity, "Can It Support You? No Bones about It," during which they act as biomedical engineers and design artificial bones, which requires them to find materials of suitable density to perform as human body implants.
This interactive exercise focuses on working with the radius of various circles to find the circumference and area as well as challenging you to find the distance a square wheel travels around the track.
Students extend their understanding of circles, volume, and surface area into modeling situations, formula analysis, and deeper conceptual understandings.
Find a quick, concise explanation of what a radius is. An example is given and clearly explained.
It's easy to find the circumference of a circle if you know the radius. Just plug the value for the radius into the formula and solve. This tutorial shows you how. [4:18]
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You can use the formula for the area of a circle to find the radius. This tutorial shows you how to use that formula and the given value for the area to find the radius. [3:28]
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The circumference of a circle is the distance around that circle. Take a look at this tutorial to discover the formulas for the circumference of a circle. [4:22]
In this tutorial, learn how to use a cylinder with the same dimensions to find the formula for the volume of a sphere. [4:56]