Curated OER
Castles
Students create a scale model to a castle using the dimensions they were given. They calculate the surface areas and volumes of each section of their castle.
Curated OER
Cylinders and Scale
Young scholars review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises...
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
TE Activity: The Boxes Go Mobile
Middle schoolers create a mobile of boxes and cubes that they made in a previous lesson that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on surface areas and...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
National Nanotechnology Infrastructure Network
The Pinch Test
Test your pupils' understanding of the scale from macro to atomic. While displaying images of different materials, learners identify what they would need to make that material visible. Their choices range from the human eye to an...
Teach Engineering
Scale Model Project
Try your hand at scale models. Scholars create a scale model of an object using a scale factor of their choice. As part of the project, they give presentations on their processes and calculations. This is the last installment of the...
Exploratorium
Viral Packaging
Create a protective protein shell as a package. Using the included template, pupils tape together 20 triangles to create a 20-sided shape to represent the protective shell of a virus. The model of the protein shell incases the nucleic...
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Curated OER
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...
Curated OER
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...
Curated OER
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...
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.
Curated OER
Calculating Volumes
In this geometry worksheet, students, calculate the volume given the sides of the shapes. There are 6 questions dealing with volumes.
Curated OER
Volume of Spheres
Students find the volume of spheres. In this geometry lesson plan, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
NOAA
What Little Herc Saw
See the underwater world through a different pair of eyes! Middle school marine biologists identify deep-sea organisms by examining images taken by an ROV from the Okeanos Explorer. After determining what creatures lie beneath the...
Curated OER
Does Size Matter?
Young scholars explore the surface area to volume ratio in cellular respiration. While participating in an interactive lab experiment, they examine proportional surface area and discuss nanotechnology. Students observe the...
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...
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...
Curated OER
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.
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...
Curated OER
Area Explorations
Students explore the concept of area. In this area activity, students find the area of irregular shapes with right angles. Students break down each irregular shape into multiple regular shapes in order to find the area. Students...