Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Curated OER
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.
Curated OER
Measurement: The Size is Right
Specific learning goals are grouped for different grade levels spanning pre-kindergarten to eighth grade. After preparing the questions and materials, you call a learner to come in front of the class and play the game. Young learners...
Curated OER
Worksheet 25 - Chain Rule
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
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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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Elements, Compounds, and Mixtures
In this elements, compounds, and mixtures worksheet, learners answer questions about the properties of elements, mixtures, and compounds. Students identify the physical changes that is made to a substance to determine if it is an element.
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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...
Curated OER
Twenty Volume Of Solids Problems
In this volume worksheet, students solve twenty volume of various solids problems. The solids examined include: cylinders, cubes, rectangular prism, including how the volumes of these figures change with increased in length. The...
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Nanofibers: Why Go Small?
Students explore the surface ratio of an object. In this surface area to volume instructional activity students construct a data table, make calculations and create a graph.
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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.
Curated OER
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.
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...
Curated OER
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.
Curated OER
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...
Curated OER
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.
Radford University
Alpaca Lunch
Feed the need for knowledge. Future mathematicians first consider how the lateral area of a rectangular prism relates to its volume. They then design a container for alpaca food that has the maximum volume possible from a given sheet of...
Radford University
Building Your Own Home
Building a home means mastering math. Scholars apply various math topics to situations associated with the construction of a home. They consider the volume of concrete needed for a foundation, the perimeter and area of
blueprints, the...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson plan instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.