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Video tutorial uses examples to reinforce understanding of how to find the area of a circle. [2:48]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Art of Problem Solving
07/01/2022
Educational Use
Rating
0.0 stars

Video tutorial provides examples to reinforce understanding of how to find the area of a circle. (Part 2) [7:05]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Art of Problem Solving
07/01/2022
Educational Use
Rating
0.0 stars

What is pi, anyway? Students explore the relationship between circumference and diameter by measuring a variety of circles and use it to derive the formula for circumference.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
12/01/2022
Educational Use
Rating
0.0 stars

At its core, the LEGO MINDSTORMS(TM) NXT product provides a programmable microprocessor. Students use the NXT processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying geometry of the experimental model, as well as the geometric definition of the constant π (pi), students form an empirical ratio of areas to estimate a numerical value of π. Although typically used for numerical integration of irregular shapes, in this activity, students use a Monte Carlo simulation to estimate a common but rather complex analytical form the numerical value of the most famous irrational number, π.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Carleigh Samson
Janet Yowell
Michael Trumpis
09/18/2014
Educational Use
Rating
0.0 stars

Through this lesson and its two associated activities, students are introduced to the use of geometry in engineering design, and conclude by making scale models of objects of their choice. The practice of developing scale models is often used in engineering design to analyze the effectiveness of proposed design solutions. In this lesson, students complete fencing (square) and fire pit (circle) word problems on two worksheets—which involves side and radius dimensions, perimeters, circumferences and areas—guiding them to discover the relationships between the side length of a square and its area, and the radius of a circle and its area. They also think of real-world engineering applications of the geometry concepts.

Subject:
Geometry
Mathematics
Measurement and Data
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Aaron Lamplugh
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
02/17/2021
Educational Use
Rating
0.0 stars

This activity provides an opportunity for students to explore the ratio of the circumference of its circle to the length of its diameter in order to generalize the ratio of pi. [3:14]

Subject:
Mathematics
Material Type:
Module
Provider:
Texas Education Agency
10/03/2023
Educational Use
Rating
0.0 stars

Students practice their multiplication skills using robots with wheels built from LEGO® MINDSTORMS® NXT kits. They brainstorm distance travelled by the robots without physically measuring distance and then apply their math skills to correctly calculate the distance and compare their guesses with physical measurements. Through this activity, students estimate parameters other than by physically measuring them, practice multiplication, develop measuring skills, and use their creativity to come up with successful solutions.

Subject:
Engineering
Mathematics
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Elina Mamasheva
Keeshan Williams
09/18/2014
Educational Use
Rating
0.0 stars

This page, which is provided by the University of St Andrews, offers a short biography on Johann Heinrich Lambert, a French-German mathematician (1728-1777.) It discusses his life and his contributions to mathematics.

Subject:
Mathematics
Material Type:
Provider:
University of St. Andrews (UK)
10/05/2022
Educational Use
Rating
0.0 stars

Working as a team, students discover that the value of pi (3.1415926...) is a constant and applies to all different sized circles. The team builds a basic robot and programs it to travel in a circular motion. A marker attached to the robot chassis draws a circle on the ground as the robot travels the programmed circular path. Students measure the circle's circumference and diameter and calculate pi by dividing the circumference by the diameter. They discover the pi and circumference relationship; the circumference of a circle divided by the diameter is the value of pi.

Subject:
Engineering
Mathematics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Carole Chen
Michael Hernandez
09/18/2014
Conditional Remix & Share Permitted
CC BY-NC
Rating
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Rating
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Subject:
Mathematics
Material Type:
Full Course
Provider:
Pearson
02/28/2022
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Zooming In On Figures

Unit Overview

Type of Unit: Concept; Project

Length of Unit: 18 days and 5 days for project

Prior Knowledge

Students should be able to:

Find the area of triangles and special quadrilaterals.
Use nets composed of triangles and rectangles in order to find the surface area of solids.
Find the volume of right rectangular prisms.
Solve proportions.

Lesson Flow

After an initial exploratory lesson that gets students thinking in general about geometry and its application in real-world contexts, the unit is divided into two concept development sections: the first focuses on two-dimensional (2-D) figures and measures, and the second looks at three-dimensional (3-D) figures and measures.
The first set of conceptual lessons looks at 2-D figures and area and length calculations. Students explore finding the area of polygons by deconstructing them into known figures. This exploration will lead to looking at regular polygons and deriving a general formula. The general formula for polygons leads to the formula for the area of a circle. Students will also investigate the ratio of circumference to diameter ( pi ). All of this will be applied toward looking at scale and the way that length and area are affected. All the lessons noted above will feature examples of real-world contexts.
The second set of conceptual development lessons focuses on 3-D figures and surface area and volume calculations. Students will revisit nets to arrive at a general formula for finding the surface area of any right prism. Students will extend their knowledge of area of polygons to surface area calculations as well as a general formula for the volume of any right prism. Students will explore the 3-D surface that results from a plane slicing through a rectangular prism or pyramid. Students will also explore 3-D figures composed of cubes, finding the surface area and volume by looking at 3-D views.
The unit ends with a unit examination and project presentations.

Subject:
Geometry
Mathematics
Provider:
Pearson
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students will measure the circumference and diameter of round things in the classroom and discover the ratio pi. They will see that the ratio of a circle's circumference to its diameter can be used to solve for the circumference when the diameter is known.Key ConceptsStudents have seen circles before, but have not analyzed the relationships between parts of a circle. The ratio of the circumference to the diameter is pi, about 3.14 or about 227. Students see that all of the objects they measure have this ratio (or close, depending on accuracy) and that the ratio is true for all circles. Students also see that the ratio can be used to solve for the circumference of a circle if the diameter (or radius) is known.GoalsMeasure round things looking for similarities.Find the ratio of the circumference to the diameter of those round things.Find a formula to find the circumference of a circle.SWD: Make sure students understand these domain-specific terms:It may be helpful to preteach these terms to students with special needs. If possible, reinforce the definitions of these terms with visual supports (diagrams).ELL: As new vocabulary is introduced, be sure to repeat it several times and to allow students to repeat after you as needed. Write the new words as they are introduced and allow enough time for ELLs to check their dictionaries or briefly consult with another student who shares the same primary language if they wish.ratiocircumferencecirclediameterscatter plot

Subject:
Geometry
Material Type:
Lesson Plan
Author:
03/01/2022
Educational Use
Rating
0.0 stars

This multimedia site offers a beginner's guide to understanding the relationship between the diameter and circumference of a circle. This Learn Alberta site offers a video [1:44], interactive exercises and printable extended exercises.

Subject:
Mathematics
Material Type:
Interactive
Provider:
08/01/2022
Educational Use
Rating
0.0 stars

A complete reference guide to circles including parts, angles, and arcs. It provides definitions and interactive activities that enhance further explanation.

Subject:
Mathematics
Material Type:
Interactive
Provider:
Math Open Reference
08/07/2023
Educational Use
Rating
0.0 stars

It's easy to find the circumference of a circle if you know the diameter. Just plug in its value into the formula for the circumference of a circle to get the answer. This tutorial shows you how. [3:28]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
Educational Use
Rating
0.0 stars

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]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
Educational Use
Rating
0.0 stars

Take a look at this tutorial to learn about circles and see the different parts of a circle. [3:54]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
Educational Use
Rating
0.0 stars

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]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
Educational Use
Rating
0.0 stars

Watch this tutorial to learn about the formula for the volume of a cylinder which is the same as the formula for the area of a circle. [5:33]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
Educational Use
Rating
0.0 stars

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]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd