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Students analyze the relationship between wheel radius, linear velocity and angular velocity by using LEGO(TM) MINDSTORMS(TM) NXT robots. Given various robots with different wheel sizes and fixed motor speeds, they predict which has the fastest linear velocity. Then student teams collect and graph data to analyze the relationships between wheel size and linear velocity and find the angular velocity of the robot given its motor speed. Students explore other ways to increase linear velocity by changing motor speeds, and discuss and evaluate the optimal wheel size and desired linear velocities on vehicles.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Muldoon
Kelly Brandon
10/14/2015
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students expand their knowledge of circles to establish relationships between angle measures in and around circles, line segments and lines in and around circles, and portions of circles as related to area and circumference.

Subject:
Geometry
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics
11/19/2021
Educational Use
Rating
0.0 stars

Given this lesson and either the diameter or radius of a circle, you'll be able to calculate the other measure.

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
12/01/2023
Educational Use
Rating
0.0 stars

Excellent Eight Planets site that provides a vast amount of information about planet Earth. Very comprehensive and complete site.

Subject:
Science
Material Type:
Provider:
Nine Planets
12/01/2023
Educational Use
Rating
0.0 stars

Students learn about the engineering design process and how it is used to engineer products for everyday use. Students individually brainstorm solutions for sorting coins and draw at least two design ideas. They work in small groups to combine ideas and build a coin sorter using common construction materials such as cardboard, tape, straws and fabric. Students test their coin sorters, make revisions and suggest ways to improve their designs. By designing, building, testing and improving coin sorters, students come to understand how the engineering design process is used to engineer products that benefit society.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Megan Schroeder
Stephanie Rivale
09/18/2014
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

Working individually or in groups, students explore the concept of stress (compression) through physical experience and math. They discover why it hurts more to poke themselves with mechanical pencil lead than with an eraser. Then they prove why this is so by using the basic equation for stress and applying the concepts to real engineering problems.

Subject:
Engineering
Geometry
Life Science
Mathematics
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jeffrey Mitchell
09/18/2014
Educational Use
Rating
0.0 stars

In this video segment [3:10] from Cyberchase, the CyberSquad must find the exact center of a circle in order to save Motherboard.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
PBS LearningMedia
12/01/2022
Educational Use
Rating
0.0 stars

Students work as engineers and learn to conduct controlled experiments by changing one experimental variable at a time to study its effect on the experiment outcome. Specifically, they conduct experiments to determine the angular velocity for a gear train with varying gear ratios and lengths. Student groups assemble LEGO MINDSTORMS(TM) NXT robots with variously sized gears in a gear train and then design programs using the NXT software to cause the motor to rotate all the gears in the gear train. They use the LEGO data logging program and light sensors to set up experiments. They run the program with the motor and the light sensor at the same time and analyze the resulting plot in order to determine the angular velocity using the provided physics-based equations. Finally, students manipulate the gear train with different gears and different lengths in order to analyze all these factors and figure out which manipulation has a higher angular velocity. They use the equations for circumference of a circle and angular velocity; and convert units between radians and degrees.

Subject:
Engineering
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Cox
Jasmin Mejias
Jennifer S. Haghpanah
Leonarda Huertas
Mihai Pruna
09/18/2014
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students apply algebraic and proportional reasoning skills to investigate angle relationships, circle measurements, uniqueness of triangles, and solid figure application problems.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics
11/19/2021
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
0.0 stars
Rating
0.0 stars
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

Sports such as hockey, football, basketball and tennis use balls of different sizes. Can you arrange a selection of different balls in a line each touching the next to make the shortest line? This activity offers opportunities for creative thinking and problem solving and helps pupils to understand the properties of circles. It can be presented using your school's own sports equipment and is aimed at primary school pupils (Key Stage 2).

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
University of Cambridge (UK)
Provider Set:
Maths and Sports
08/07/2023
Educational Use
Rating
0.0 stars

Gain an understanding of how to find the diameter of a circle by viewing an example and a video lesson. [1:01]

Subject:
Mathematics
Material Type:
Lesson
Provider:
Mathplanet
Provider Set:
Pre-Algebra
10/01/2022
Educational Use
Rating
0.0 stars

University of Nottingham astronomers talk about telescope diameter, and how the size and quality of a telescope's mirror determine what we see when looking through it. Offers a look at the opportunities offered by the "Extremely Large Telescope", which will be built with a lens over forty meters in diameter. [8:31]

Subject:
Science
Material Type:
Audio/Video
Provider:
University of Nottingham
08/01/2022
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students extend their understanding of circles, volume, and surface area into modeling situations, formula analysis, and deeper conceptual understandings.

Subject:
Geometry
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics