Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, young scholars are asked to determine whether or not one half of each circle is shaded. To...
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Inscribing a Square in a Circle
Inscribing a square in a circle brings up a number of interesting geometry topics including triangle congruence and how to prove a quadrilateral is a square. This activity is followed up by finding the area of the square and determining...
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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...
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Comparing Areas
Before your scholars know how to multiply side lengths to find an area, give them some practice in simply counting units. They examine shapes that have already been segmented into units, counting them to get the area. There are three...
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Word Problems that involve Circles
In this online math activity, students solve word problems the involve circles. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching tool!
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Area of Shaded Regions that involve Circles
In this online math activity, students determine the area of shaded regions within a circle. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching tool!
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Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
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Area of Figures That Include Circles
In this area worksheet, students calculate the perimeter and area of given complex figures. They determine the area of shaded regions, and find the distance between straight lines. This one-page worksheet contains 4...
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Find the Area of Four Shaded Figures that Include Circles
In this area activity, learners calculate the area of four figures that each include circles. Students can check their answers and get hint by clicking on the "Check" or "Hint" button at the bottom of the page.
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Circles: Geometry Review Worksheet
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the...
Balanced Assessment
Triangle in Circle
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
Bowland
Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
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...
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. For this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
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The Geometry Of An Ox Skin
High schoolers investigate the concepts of area and perimeter. The activity uses a legend to create a context for the proposed word problem. They use the skill of estimation in order to create an ox skin that is found in the story.
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The Two Circles Problem
In this area of a circle learning exercise, students determine the ratio of common area when two circles overlap and each passes through the center of the other. A detailed sollution is included.
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Finding The Area
In this geometry instructional activity, students calculate the area of a given shape. They use the formulas for squares and circles to help them find the area. There are 2 questions with an answer key.
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Perpendicular Segments in a Circle
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...
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Geometry Worksheet: Area (4)
In this geometry worksheet, students calculate the shaded area of given shapes. They determine the area around a circle, a portion of a rectangle, and composite figures. THis one-page worksheet contains two multi-step...
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Circumscribing a Circle About a Triangle
Pupils circumscribe a circle about a triangle. They construct a triangle using Cabri Jr and then circumscribe it. They then use knowledge of perpendicular bisectors and circumcenters to locate the center of the circle and then...
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Construction Circles
Pupils investigate the number of points needed to determine a unique circle in a plane. Using Cabri Jr., they apply construction techniques to generate a circle that passes through a given number of points.
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Online Math Learning: Surface Area of Spheres
In this surface area of spheres worksheet, students solve 4 short answer problems. Students find the surface area of spheres, hemispheres, and cones given a radius or a radius and height.
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