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Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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Using Formulae
In this Formulae worksheet, 10th graders identify and solve 9 different problems that include using particular formulas as given in each set of instructions. First, they determine the perimeter of a rectangle using the formula given....
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Fill and Wrap It Up
Learners 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...
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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...
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Which container holds a larger amount of popcorn?
What does popcorn have to do with math? Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
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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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Estimation Task
Upper graders practice their estimation skills by observing different objects then making their best guess without using measuring instruments. Students are asked to estimate mass, length, volume, and area.
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Linear, Square, and Cubic Units
Linear, square, and cubic units are all investigated as different types of packages are measured. The teacher will need supplies such as a box of aluminum foil, a package of ribbon, and a bag of mulch. The class determines the...
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Linking Length, Perimeter, Area, and Volume
Learners explore measurements of rectangles. For this measurement comparison lesson, students discover the length, width, perimeter, and area of two different rectangles. Learners record their measurements on a chart to make comparisons.
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Length, Perimeter and Area
Learners analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationship
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Calculating Perimeter and Area of Polygons
Students discuss strategies for estimating information about various shapes. Once they draw and label four shapes with perimeters of 30 units, they calculate the areas of the figures. To complete the lesson, students offer written...
Shodor Education Foundation
Volume of Prisms
Explore the concept of volume of prisms using an applet to perform the calculations. The link to the interactive applet is embedded into the lesson plan as well as a link to associated data sheets. Get your math class to the computer lab...
Shodor Education Foundation
Surface Area of Rectangular Prism
With this interactive lesson, learners compute the surface area of rectangular prisms. They visit an online investigation applet and record data on the provided handout. Pair this lesson with the volume lesson by the same publisher as an...
Curated OER
Problem Solving: Perimeter, Area, or Volume?
In this perimeter, area, or volume worksheet, students read the word problems and determine whether to problem solve to find the perimeter, area, or volume to answer the six word problems.
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Perimeter and Area of Similar Figures
Young scholars explore the relationships between similar figures. In this relationships between similar figures lesson, students discuss relationships between perimeter, circumference, area, surface area, and volume of similar figures...
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Perimeter and Area of 2D Shapes
Students find the perimeter and area of circles, triangles, and rectangles. For this perimeter and area lesson, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no creative...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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Review Geometric Figures
Youngsters review different geometric figures and shapes. In this geometry lesson, pupils use formulas to calculate area, perimeter, circumference and volume of geometric shapes. They calculate the surface area also.
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Cafeteria Mayhem
High schoolers design a cafeteria floor plan. In this area and perimeter lesson, groups create an efficient lunchroom layout on poster board by using geometric shapes and formulas as the basis for their designs. In the accompanying...
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Pythagorean Theorem
Students are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
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Can You Measure This?
Fifth graders design their own house, while also using problem-solving skills involving perimeter and area. They exchange houses with a partner and find the perimeter and area of the window, doors, and front side of the house.
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Who Wants to Carry a Million?
Students, in groups, determine the volume of a box large enough to hold a million dollars. They calculate the dimensions of a bill and the volume of the money.
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Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
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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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