Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
HeyMath!
Volume of Pyramid
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Mathed Up!
Volume of Prism
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
Mathematics Assessment Project
Calculating Volumes of Compound Objects
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Curated OER
Formulas for Volume and Surface Area
Students calculate the volume and surface area of each shape. For this geometry lesson, students use nets and other three dimensional polygons to create visuals of the volume of a shape. They define important vocabulary words relevant to...
Curated OER
Flower Vases
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
Curated OER
The Value of Volume
Students measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of triangles.
101 Questions
Coffee Traveler
Investigate the volume of irregular figures in an inquiry-based exercise. Presented with an irregularly shaped box filled with water, learners must predict the level of water when it is tipped on its side. The class can divide the figure...
Radford University
Exploring Coal Pillar Mining
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...
Radford University
Coal Silo Design Task
The coal is mined. Now what? Scholars design a coal silo that stores mined earth using at least two different three-dimensional shapes. They calculate the volume, determine the amount of mined earth produced in a day, and find the amount...
Curated OER
Scale Factors for Areas and Volumes
Students examine mathematical questions. They examine how to tackle mathematical questions and discover the effect of a change in length on area and volume. They examine the consequences of the physical properties sea animals on heat...
Curated OER
Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area lesson, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
Curated OER
Puck's Girdle
Fifth graders calculate the perimeters, areas, and volumes of everyday objects. They discuss the word problem involving Puck from the Shakespeare play "Mid-Summer Night's Dream," and invent and plan a method for solving the problem in...
Curated OER
Measurement
Seventh graders measure surface area. In this geometry lesson plan, 7th graders find the surface area of various geometrical shapes. Using a computer program, students compute the area of 2-D and 3-D shapes. Students use graph paper to...
Curated OER
A4 Containers
Fifth graders determine which container made from a single sheet of paper has the greatest volume. They look the solutions made by three different students before working on their own examples.
Curated OER
Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry instructional activity, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret their...
Curated OER
Dream Bedroom Floor Plan
Students construct using Cabri software. For this geometry lesson, students convert between units and apply the correct measurements to build objects. They create the room virtually and manipulate the shapes to the desired measurements.
Curated OER
Human Impact on the Environment and Pollution
Students illustrate the impact humans have on the environment through analogies and models. They observe demonstrations of human impact and pollution and create a composite picture of how people can have an impact on their environment.
Alabama Learning Exchange
Pennies, Pennies and More Pennies
Learners determine the number of pennies needed to fill a room. In this pennies lesson plan, students work in groups to determine the number of pennies needed to fill a room. They compute the probability of the head of a pin landing on...
Curated OER
Penny's Box
Students need to be able to calculate the volume and surface area of a cuboid as well as present a systematic list of results in order to justify the minimum case. The use of three factors of 100 is also important.
Curated OER
Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
Curated OER
Dan's Badge
Students solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...