Assessment
Northwestern University

Parametric Equation Arc Length [Pdf]

For Students 9th - 10th
This site does a good job of clearly describing how we find the arc length of a parametric curve. The site works an example and gives the general formula for finding the arc length of a smooth parametric curve.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Arc Length

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Arc Length

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Unknown Type
Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th Standards
Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Length of an Arc

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and measurement of an arc on a circle,
Activity
Math Words

Math Words: Arc Measurements

For Students 9th - 10th Standards
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
Unit Plan
Texas Education Agency

Texas Gateway: Determining Arc Length

For Students 9th - 10th
Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.
Unknown Type
Khan Academy

Khan Academy: Radians and Arc Length

For Students 9th - 10th Standards
Solve problems related to radians and arc length like finding an arc length given the central angle and radius. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th
A practice for students to find the length of an arc. Practice includes video instructions to give helpful hints.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals

For Students 9th - 10th
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
Handout
Geometry Help

Geometry Help: Arcs, Angles, and Sectors

For Students 9th - 10th Standards
Explains the basic concept of arcs, angles, and sectors with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Activity
Analyze Math

Analyze Math: Sectors and Circles Problems

For Students 9th - 10th Standards
Try these three problems regarding area of sectors, length of arcs, and central angles. The problems will challenge and intrigue sharp geometry students. Detailed written solutions are included.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Arc Length

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains arc length and its relationship to radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site...
Activity
Texas Instruments

Texas Instruments: Arc Length and Area of Sectors

For Teachers 9th - 10th Standards
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Handout
University of St. Andrews (UK)

University of St. Andrews: Elliptic Functions

For Students 9th - 10th
Good site with many of the elliptic functions given.
Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Unit Plan
Sophia Learning

Sophia: Components of Circular Motion

For Students 9th - 10th
A video lesson that introduces the components of circular motion. Understand that any objects that rotates around a point is in circular motion. Video also explores how to measure how far an object has rotated. Video gives equation for...
Interactive
Mangahigh

Mangahigh: Shape: Circumference of a Circle

For Students 9th - 10th Standards
Determine the circumference of a circle or simple arc lengths.
Activity
Texas Instruments

Texas Instruments: Applications of Integrals

For Teachers 9th - 10th
Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...
Activity
University of Georgia

University of Georgia: Segment and Arc Length

For Students 9th - 10th
This site gives a short explanation about the segment and arc length
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Arc Length [Pdf]

For Students 9th - 10th
The problem investigates arc length. The practice exercise has learners label and interpret graphs. The handout is available in PDF format.
Handout
Other

University of Winnipeg: The Simple Pendulum

For Students 9th - 10th
The periodic motion of a pendulum is described with words and equations; little conceptual emphasis. Sample problems with solutions are provided.

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