Mathematics Vision Project
Module 5: Circles A Geometric Perspective
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...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
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 activity...
Curated OER
Cap-It to the Max
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
Curated OER
Fill and Wrap It Up
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Curated OER
Formulas Homework
In this circle formulas instructional activity, students solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.
Curated OER
Area of a Circle When Radius is Given
Five problems provide practice for learners to find the area of a circle given the distance of the radius. Answers on the key use pi as a variable and do not include fully computed numeric answers. To reinforce basic multiplication facts...
Curated OER
Area of Circle Worksheet
Given the diameter of a circle, learners are charged with finding its area. They halve the diameter, square it, and multiply by pi. Five problems provide basic practice.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson plan instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Curated OER
Circumference and Area
In this circumference and area learning exercise, 6th graders find the circumference and area of circles when the diameter is given. Students complete 9 problems.
Curated OER
Discovering Pi
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.
Mrs. Burke's Math Page
The Amazing Pi Race
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
Curated OER
Circle Problems - Radius, Diameter, Circumference and Area
In this online math worksheet, students determine the radius, circumference, diameter and area of circles. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...
Curated OER
Circles: Finding Circumference
For this circles worksheet, high schoolers find the circumference of 20 circles. Students find the circumference given the radius, diameter, and area of various circles.
Raytheon
Geometry: Circles
In this geometric circumference worksheet, 8th graders calculate the circumference of each of the 18 circles. The remaining pages of the worksheet include formulas and lesson ideas on finding the circumference of circles.
Curated OER
Square Circles
Students find the perimeter and diameter of given shapes. In this square circles lesson, students measure circles and squares. They explore the relationship between the circumference of a circle and its diameter. Students examine the...
Curated OER
Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 10 different problems that include using spheres to examine changes in volume and surface area. First, they complete the chart shown using the formulas given....
Curated OER
Puck's Girdle
Fifth graders calculate the perimeters, areas, and volumes of everyday objects. They discuss the word problem involving Puck from the Shakespeare play "Mid-Summer Night's Dream," and invent and plan a method for solving the problem in...
Curated OER
Area and Perimeter
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
Curated OER
Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Curated OER
Perimeter and Area of Similar Figures
Young scholars determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.
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