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Squares and Cubes
Middle schoolers recognize, analyze, and use square color tiles and interlocking cubes to discover patterns in perimeter, area, and volume. They will then chart and graph their results.
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Perimeter and Area of Similar Figures
Students explore the relationships between similar figures. In this relationships between similar figures lesson plan, students discuss relationships between perimeter, circumference, area, surface area, and volume of similar figures...
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Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning activity, 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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The Value of Volume
Students measure the perimeter and area of their polygons. In this geometry instructional activity, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side...
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Volume of Spheres
Students find the volume of spheres. In this geometry lesson, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
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Artistic Angles
Fifth graders explore angles by using protractors. They recognize, describe and determine the surface area and volume of three-dimensional shapes. Students recognize the right angle, acute angle, obtuse angle and vertex. They identify...
Mathematics Assessment Project
Estimating Volume: The Money Munchers
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
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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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Estimation Task
Upper graders practice their estimation skills by observing different objects then making their best guess without using measuring instruments. Young scholars are asked to estimate mass, length, volume, and area.
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Measurement
Students identify and categorize different problem situations or contexts using one of four measurements to solve the problem. Through guided and independent practice, they discover ways to determine which measurement to use when...
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Area Explorations
Young scholars explore the concept of area. In this area lesson, students find the area of irregular shapes with right angles. Young scholars break down each irregular shape into multiple regular shapes in order to find the area. ...
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Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find the...
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Area and Perimeter Relationships
Sixth graders explore the relationship between area and perimeter. After discovering the definition of perimeter, 6th graders work together to create designs for a flower bed. They observe that the perimeter remains constant even...
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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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Polydron Fun
Students investigate nets as they relate to volume and area. In this geometry lesson, students use nets as a visual to deepen their understanding of surface area and volume of objects. They make conjectures about different objects and...
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The Amazing Inch and Measuring Up!
Fifth graders study the metric and customary systems of measuring length with rulers, meter / yardsticks, and tape measures. They determine area of polygons and surface area and volume of three-dimensional shapes. They list as many...
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...
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Surface Tension and 3D Soap Films
Students are introduced to the concept of surface tension, its dependence on material composition, and how it can produce uniquely shaped surfaces.
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Area Adventure
Students calculate the area of figures using the formula: length x width = area. They solve area problems using paper squares, geoboards, and real-world problems.
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Measurement
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
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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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Perimeter All Around
Students explore perimeter and area of regular and irregular polygons. They experiment with color squares and create different arrangements using the same number squares. Then they compare the area and perimeter measurements of each.
Teach Engineering
Penny Perfect Properties (Solid-Liquid Interations)
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
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Measurement: Volume
Sixth graders determine how to find the volume of a box. In this volume lesson, 6th graders participate in a lesson in which the teacher uses the associated study guide to explain how to find the volume of a cubic figure. They use boxes...
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