Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
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Problem Solving and the Coordinate Plane
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter...
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Minimize Perimeter
Students use the graph and equation of a perimeter function to find characteristics that minimizes the perimeter of a rectangle. They comprehend that in business situations, such as packaging and city planning, minimizing perimeter is an...
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Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
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Double, Double: Looking at the Effect of Change on Perimeter, Area and Volume
Learners explore perimeter, volume, and area. In this math lesson plan, students explore how changes in dimensions of geometric shapes affect the perimeter, area and volume of the various shapes. Learners investigate the results when the...
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Geometry: Area Project
Sixth graders identify and use area formulas for finding the area of geometric shapes.
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Shapes and Their Insides
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
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Can You Build It?
Students investigate the concept of perimeter. They design there own figure and measure the perimeter of it. The lesson is given the context of the shape being a path that is traveled by a ladybug. This provides the shape of the plane...
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Pacing a Gunther Chain
Students pace a Gunther Chain, a measurement used by foresters to determine distance and area. They discuss that pacing is individualized depending on age, gender, etc. They practice to find an average pace. Teams estimate, pace and...
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Linking Length, Perimeter, Area, and Volume
Students explore measurements of rectangles. In this measurement comparison lesson, students discover the length, width, perimeter, and area of two different rectangles. Students record their measurements on a chart to make comparisons.
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Finding Area
Seventh graders explore the concept of area. In this area lesson, 7th graders determine what measurements are necessary to find the area of a rectangle and circle. Students use area formulas to calculate area or rectangles and circles.
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Discovering the Area and Perimeter of Triangles
Eighth graders identify how to find the area and perimeter of rectangles and triangles. They discuss their understanding of area and perimeter and how the two concepts are applied in the real world. Finally, 8th graders determine the...
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Building Storm Shelters
Sixth graders explore area and perimeter. In this online interactive area and perimeter instructional activity, 6th graders investigate why the perimeter of rectangles can vary considerably even when the area is held constant. Students...
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Tiling Tessellations
Learners explore tessellations. In this shapes and geometry lesson, students describe the attributes of many of the shapes displayed on an Elmo. Learners create examples of tessellations using pattern blocks.
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Scale Drawing: Insulating an Attic
Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...
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Perimeter and Area of 2D Shapes
Students find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area lesson plan, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no...
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Exploring Areas of Irregular Polygons
Students solve for the area of different polygons. For this geometry lesson, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
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Measurement: Finding Areas of Rectangles
Students construct the formula for the area of a rectangle.
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Perimeter and Area
In this math worksheet, students find the area of 6 rectangles. Although the title indicates otherwise, students are not asked to calculate perimeters. There is no instruction on the page.
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Picket Fence Around the Garden
Students design different shaped plots and determine the perimeter, area and shape of each. They compare the shapes that have the same area but may have different perimeters.
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Who Let the Dogs Out?
Students examine the concepts of area and perimeter and how they relate to a rectangle. They find the largest possible area that can be enclosed by a fixed perimeter and complete a worksheet as well as create a table of all the possible...
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Exploring Area and Perimeter
Two students are blindfolded and each receives a cardboard square, one with pompoms glued around the edge and one with pompoms glued all over the surface. They identify what they feel. The class discusses perimeter and area of polygons....
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Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
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Cylinder: Student Worksheet
In this cylinder worksheet, young scholars compare three different cylinders to experiment which one has the greatest volume. Students interact with rectangles as they experiment with the cylinders.