Lesson Plan
Virginia Department of Education

Angles, Arcs, and Segments in Circles

For Teachers 9th - 11th Standards
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
Lesson Plan
Curated OER

Discovering Pi

For Teachers 9th - 11th
Define terminology related to a circle. Practice accuracy in measuring and then create a spreadsheet based on data collected from solving for parts of a circle. Groups can have fun analyzing their data as it relates to Pi.
Lesson Plan1:00
Mathematics Assessment Project

Modeling Motion: Rolling Cups

For Students 9th - 12th Standards
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
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...
Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test A1

For Students 9th - 12th
A six-page test covers content from several different high school math courses. It incorporates a few short answer, graphing, and word problems. It also allows room for mathematical reasoning and analysis.
Lesson Plan
Curated OER

Circles

For Teachers 11th - 12th
Young scholars review the definition of a circle and the general formula for a circle to specific problems. They also write the equation for a circle given the center and radius of the circle. Students then define a circle using either...
Lesson Plan
Curated OER

Inscribing a Circle in a Triangle

For Teachers 9th - 12th Standards
Pupils investigate inscribing a circle in a triangle. They use Cabri Jr. to draw a triangle, locate the incenter, and use the distance from the incenter to a side of the triangle to inscribe a circle. The dynamic nature of the geometry...
Interactive
Curated OER

Circles

For Students 10th
In this geometry worksheet, 10th graders determine the circumference and area of a circle given either the diameter or the radius. The one page interactive worksheet contains ten questions. Answers and hints are included. 
Worksheet
Curated OER

Standard Form of a Circle

For Students 8th - 10th
In this algebra worksheet, students write equations for a circle on a graph or using a radius. They find intersections and points on a graph.
Lesson Plan
Curated OER

Power of a Point

For Teachers 9th - 11th
Pupils solve problems by finding the radius or diameter. In this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
Lesson Plan
Virginia Department of Education

Going the Distance

For Teachers 6th Standards
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Lesson Plan
National Research Center for Career and Technical Education

Transportation, Distribution, and Logistics: Tire and Wheel Assemblies

For Teachers 6th - 12th Standards
Is bigger really better? By the end of this lesson, learners will be able to apply formulas for computing the diameter of tires and wheel assemblies. Begin by showing a slide presentation that will review definitions for radius and...
Activity
Illustrative Mathematics

Ice Cream Cone

For Teachers 9th - 12th Standards
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
Worksheet
Curated OER

Effects of Changing Dimensions Proportionally

For Students 9th - 10th
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals.  The one page worksheet contains ten problems.  Answers are...
Activity
101 Questions

Red Carpet

For Teachers 9th - 12th Standards
Roll out the red carpet for an exemplary lesson. Using the dimensions of a rolled piece of carpet, learners calculate the dimensions of the flat sample. Pictures provide individuals with the information they need to make a valid conclusion.
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...
Lesson Plan
Curated OER

A Slice of Pi

For Teachers 7th - 9th
Math pupils, by viewing a video, discover the history of pi and some of the applications of its uses in the world today. They conduct an experiment by measuring the diameter and circumference of various circular objects to calculate...
Worksheet
Curated OER

Area of Sectors

For Students 10th - Higher Ed
In this area of sectors worksheet, learners find the area of a given sector, area of inscribed figures, and area of shaded regions. This two-page worksheet contains 20 problems. An answer sheet is provided on the third page.
Worksheet
Curated OER

Circles Terminology Multiple Choice

For Students 9th - 12th
In this circles learning exercise, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
Lesson Plan
Curated OER

Looking at Circumference

For Teachers 6th - 8th
Students understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Worksheet
CPM

Cones and Spheres

For Students 9th - 10th Standards
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
Assessment
Mathematics Assessment Project

Circle Pattern

For Students 7th - 9th Standards
Cool circle patterns! To investigate patterns of shading in circles, learners use the values for specific examples of the pattern to generate a verbal rule for the arrangement.
Performance
Radford University

Discover Radians!

For Teachers 9th - 12th Standards
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...