Curated OER
Surface Area and Volume of a Cube
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...
PBS
Surface Area and Volume
You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...
Curated OER
Cubic Unit Models
Fourth graders find the volume of solids. In groups, 4th graders use spinners to determine the dimensions of solids. They construct the shapes, creating a model of the figure Students count the cubes in the model to determine the...
Curated OER
Box It Up
Fifth graders make boxes. In this prisms lesson, 5th graders read the book Counting on Frank and discuss the different things that the boy measures. Students make boxes of various sizes using graph paper and find their volume.
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Curated OER
Painted Cube Lesson
Middle schoolers differentiate between cubes and unit cubes. In this geometry instructional activity, students create linking cubes and use it as a manipulative to answer questions. They define the faces, edges and sides of the cubes as...
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms. The solutions are provided.
Curated OER
New Boxes From Old
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
Curated OER
Move that Tower
Students investigate ways to find the density of irregular shaped objects. In this physics lesson, students calculate density using its mass and volume. They explain why some objects float or sink in water.
Curated OER
Perimeter, Area and Volume
Young scholars compute area. In this perimeter, area and volume lesson, students examine given objects and determine the perimeter, area, and volume of each.
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
Curated OER
Cube Models
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson plan, they record the dimensions of each...
Curated OER
Construct Figures to Find Specific Volume
Sixth graders use number cubes to explore volume of two-dimensional shapes. They roll a die and construct a shape using the numbers rolled as measurements of the sides. They estimate the volume of a given object, and then use the...
Curated OER
Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson plan, 7th graders complete several activities to learn the volume and surface area of cylinders.
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
Curated OER
Two for One Box Company
Eighth graders experiment to decide if a box that is twice as big holds twice a much. They work the concept of volume and how changing dimensions affect it.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Curated OER
Two for One Box Company
Students draw a net (a two-dimensional pattern that can be formed to make a solid) for making an open top box on grid paper. They cut out the net and fold up each side to form the open box and tape the sides, then find the volume of the...
Neufeld Learning Systems
Concept: Exponents in Formulas
In this volume and surface area worksheet, students use their calculators to find the volume or surface area of a pictured 3-dimensional figure.
Curated OER
Boxing On
Students participate in five center activities in which they construct three dimensional objects using cubic centimeter manipulatives such as sugar cubes and toothpaste boxes. They determine the volume of the objects. They build a model...
Curated OER
Density-Qualitative and Quantitative
Students investigate density using film canisters filled with different density materials and larger objects of varying density. In this density lesson plan, students discuss the concept of density and rank film containers from dense to...
PBS
Arguing over Area
With the help of the Area Officers and Perimeter Patrol, you learners will develop a better understanding of area and its relationship to perimeter. First, they view a video clip from Cyberchase, and then they visit a website to test...
Curated OER
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...