Assessment
Mathed Up!

Area of Sector and Length of Arcs

For Students 9th - 12th Standards
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Lesson Plan
Virginia Department of Education

Arc Length and Area of a Sector

For Teachers 9th - 11th Standards
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Interactive
CK-12 Foundation

Length of a Plane Curve

For Students 11th - Higher Ed
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
Lesson Plan
Curated OER

Shot Put Arc

For Teachers 6th - 8th
Students complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of...
Lesson Plan
EngageNY

Arc Length and Areas of Sectors

For Teachers 9th - 10th Standards
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...
Instructional Video21:05
2
2
Flipped Math

Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Activity
101 Questions

Suitcase Circle

For Teachers 9th - 12th Standards
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
Lesson Plan
Curated OER

Properties of Arcs, Lengths and Chords

For Teachers 9th - 11th
Young scholars differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Lesson Plan
Curated OER

Length of an Arc and Area of a Sector

For Teachers 10th
For this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Lesson Plan
EngageNY

Unknown Length and Area Problems

For Teachers 9th - 10th Standards
What is an annulus? Pupils first learn about how to create an annulus, then consider how to find the area of such shapes. They then complete a problem set on arc length and areas of sectors.
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Lesson Plan
Mathematics Assessment Project

Calculating Arcs and Areas of Sectors of Circles

For Teachers 9th - 12th Standards
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an...
Lesson Plan
EngageNY

Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams

For Teachers 9th - 12th Standards
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
Worksheet
Curated OER

Arc Length and Sector Area

For Students 10th - 12th
In this arc length activity, students find the designated arc length of various circles. They determine the area of each sector. This four-page activity contains 24 problems. Answers are provided on the last two pages.
Worksheet
Mt. San Antonio Collage

Circles

For Students 9th - 12th Standards
Don't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated activity provides guided practice through many topics such as central angles, inscribed polygons...
Worksheet
Curated OER

Estimating Pi as a Length

For Students Higher Ed
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Lesson Plan
Curated OER

Around the Clock

For Teachers 6th - 8th
Students discover the relationship between the circumference of a circle and its diameter. They find the length of an arc of a circle.Students use estimation strategies in real-world applications to predict results (i.e., interpolation...
Instructional Video16:02
2
2
Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Lesson Plan
Curated OER

Length of an Arc

For Teachers 11th - 12th
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...

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