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Lesson Plan
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\n\"Radius,\n\n
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\nCurated OER\n
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\nRadius, Diameter and Area\n

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\n\nFor Teachers\n\n8th - 9th\n
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\nStudents identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.\n
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Worksheet
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\n\"Circle\n\n
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\nCurated OER\n
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\nCircle Formulas\n

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\n\nFor Students\n\n10th\n
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\nTenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page instructional activity contains twenty-five problems. Answers are not provided. \n
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Instructional Video4:36
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\n\"How\n\n
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\nHow Do You Find the Volume of a Sphere?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nThe formula for the volume of a sphere is volume equals four-thirds pi times the radius cubed. That's a mouth-full. But if you are given the radius value of the sphere, all you have to do is plug it in and do the arithmetic. Just...\n
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Instructional Video4:01
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\nHow Do You Find the Area of a Circle if You Know the Diameter?\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nDo you know the formula to find the area of a circle? Do you know the value of pi? Do you know what the relationship is between diameter and radius? Yes? Then you can solve this problem. If your scholars don't know this formula then this...\n
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Instructional Video0:05
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\n\"How\n\n
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\nHow Do You Find the Volume of a Cone?\n

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\n\nFor Teachers\n\n6th - 10th\n
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\nThe formula to find the volume of a cone is volume equals one-third times the base times the height. The base can be found by using the formula to find the area of a circle: base equals pi times radius squared. So it seems that the area...\n
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Instructional Video4:36
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\n\"How\n\n
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\nHow Do You Find the Volume of a Cylinder?\n

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\n\nFor Teachers\n\n6th - 10th\n
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\nWhat is the formula to find the volume of a cylinder? Here's the formula - volume equals base times height, and the base of a cylinder is base equals pi times radius squared. If the is a given value for radius, and a given value for...\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring Circles\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nHigh schoolers explore circles using a graphing calculator. In this circles instructional activity, students write the equation of a circle with a given center and radius length. High schoolers find the most appropriate model for each...\n
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Instructional Video6:13
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\nWhat is the Formula for the Area of a Circle?\n

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\n\nFor Teachers\n\n6th - 10th\n
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\nCut up a circle and make a parallelogram! What? No way! Yes way! Watch the instructor illustrate just how to cut up the circle and get that parallelogram to then get the formula for the area of a circle. It really works! Base,...\n
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Instructional Video4:21
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\nWhat is Circumference?\n

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\n\nFor Teachers\n\n4th - 8th\n
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\nThere are actually two formulas to find the circumference of a circle. One formula is based on knowing the diameter of the circle, and the other is based on knowing the radius of the circle. The instructor illustrates both formulas. She...\n
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Instructional Video5:16
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\n\"How\n\n
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\nHow Do You Find the Slant Height of a Cone?\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nUse the Pythagorean theorem formula to find the slant height of a cone. If the height of the cone and the radius of the base are given, using the Pythagorean theorem formula will be a piece of cake. Just plug in the values given and solve.\n
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Instructional Video3:15
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\nHow Do You Find the Surface Area of a Sphere?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nWhat do a basketball, a bowling ball, and a ping pong ball all have in common? They are spheres. So how do you measure the surface area of a sphere? Yes, there is a formula and all you have to do is know one measurement of the sphere to...\n
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Interactive
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\n\"Length\n\n
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\nCK-12 Foundation\n
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\nLength of an Arc: Pi Hour\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWhat time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.\n
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Activity
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\n\"Pokémon\n\n
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\n101 Questions\n
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\nPokémon Go Cheat\n

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\n\nFor Students\n\n6th - 8th\n\nStandards\n
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\nGotta catch them all—no learner left behind! Young scholars must predict the length of time it takes a phone attached to a fan to travel five kilometers given the radius and rotations versus time data. Why would you attach a phone to a...\n
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Lesson Plan
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\n\"Radius,\n\n
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\nRadius, Diameter and Circumference\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nFor this circle worksheet, young scholars use a drawing of a circle. The diameter is given. Students find the radius, circumference and area of the circle. On the second problem, young scholars are shown a circle with a hole inside it....\n
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Worksheet
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\n\"Volume\n\n
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\nCurated OER\n
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\nVolume of Cylinders and Cones\n

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\n\nFor Students\n\n7th - 8th\n
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\nLine drawings of a circle, a cylinder, and a cone at the top of the page contain the formulae for area and volume of each shape. Learners complete the missing information in a chart that lists diameter, radius, height, and area and...\n
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Lesson Plan
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\n\"Properties\n\n
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\nCurated OER\n
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\nProperties of Circles\n

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\n\nFor Teachers\n\n3rd - 5th\n
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\nStudents study the properties of circles. In this circles lesson, students read a word problem about circles. Students watch a video about the activity and then practice drawing the circle solution to the problem. Students watch another...\n
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Worksheet
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\n\"Find\n\n
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\nCurated OER\n
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\nFind Radius/Diameter\n

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\n\nFor Students\n\n2nd - 10th\n
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\nIn this geometry learning exercise, learners calculate the radius and the diameter of the five given circles. There is an answer key included.\n
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Instructional Video
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\n\"SAT\n\n
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\nKhan Academy\n
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\nSAT Prep: Test 3 Section 2 Part 3\n

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\n\nFor Students\n\n9th - 12th\n
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\nMath speeds along in this video, which takes students through problems 11-15 on the practice SAT. Sal takes care to show students more than one possible way to solve several problems, allowing them to make the choice based on their own...\n
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Worksheet
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\n\"Formulas\n\n
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\nCurated OER\n
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\nFormulas Homework\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this circle formulas worksheet, high schoolers solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.\n
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Worksheet
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\n\"Equations\n\n
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\nCurated OER\n
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\nEquations of Circles\n

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\n\nFor Students\n\n10th\n
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\nIn this equations of circles worksheet, 10th graders solve 10 different problems that include graphing different circles. First, they convert the equations into center-radius form given the coordinates of the center of the circle and its...\n
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Worksheet
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\n\"Volume\n\n
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\nVolume and Surface Area\n

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\n\nFor Students\n\n10th\n
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\nIn 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....\n
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Lesson Plan
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\n\"Length\n\n
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\nLength of an Arc and Area of a Sector\n

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\n\nFor Teachers\n\n10th\n
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\nIn 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 find...\n
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Worksheet
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\n\"Spheres\n\n
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\nSpheres Homework\n

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\n\nFor Students\n\n8th - 10th\n
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\nIn this spheres worksheet, students determine the volume and area of spheres when given the diameter or radius.  This one-page worksheet contains 10 multi-step problems.\n
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Worksheet
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\n\"Volume\n\n
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\nVolume and Surface Area\n

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\n\nFor Students\n\n10th\n
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\nIn this volume and surface area instructional activity, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a...\n
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