Lesson Plan
Nuffield Foundation

Effect of Size on Uptake by Diffusion

For Teachers 9th - 12th Standards
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Activity2:31
Jim Noble, Richard Wade & Oliver Bowles

Pyramid Model

For Teachers 8th - 12th Standards
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship...
Activity
Illustrative Mathematics

Box of Clay

For Teachers 5th - 7th Standards
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Lesson Plan
Cornell University

Scaling Down: Effects of Size on Behavior

For Students 6th - 12th Standards
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...
Activity
101 Questions

Dandy Candies

For Students 6th - 8th Standards
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
Lesson Plan
Illustrative Mathematics

Christo’s Building

For Teachers 6th - 7th Standards
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...
Lesson Plan
Curated OER

Painted Cube Lesson

For Teachers 6th - 8th
Young scholars differentiate between cubes and unit cubes. In this geometry lesson, students create linking cubes and use it as a manipulative to answer questions. They define the faces, edges and sides of the cubes as it relates to unit...
Lesson Plan
Curated OER

Seven Volume of a Prism Problems

For Teachers 9th - 10th
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms.  The solutions are provided.
Lesson Plan
Curated OER

Volume And Surface Area Of Prisms

For Teachers 8th
Eighth graders investigate concepts related to the finding of the area of prisms. They use boxes as models of calculating the area while getting ready for the next level. The instructors are given sovereignty over the assessments and the...
Lesson Plan
Curated OER

New Boxes From Old

For Teachers 6th - 8th
Middle schoolers 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,...
Lesson Plan
Curated OER

Move that Tower

For Teachers 9th - 11th
Students investigate ways to find the density of irregular shaped objects. For this physics lesson, students calculate density using its mass and volume. They explain why some objects float or sink in water.
Worksheet
Curated OER

WS 5.4 Ideal Gas Law

For Students 10th - 12th
In this gas worksheet, students use the ideal gas law to find volumes of gases, pressure of gases, moles of gases, mass of gases and molecules of gases. They find unknowns at standard temperature and pressure and they calculate the...
Lesson Plan
Curated OER

Box It Up

For Teachers 5th
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.
Lesson Plan
Curated OER

Comparing Densities of Different Liquids

For Teachers 4th - 6th
Students experiment with a variety of liquids to calculate density. For this integrated science and math lesson, students listen to a story in which the characters must prove and explain why 5 "mystery" liquids react in a certain manner....
Worksheet
Curated OER

Density

For Students 9th - 12th
In this density worksheet, students review this property of matter and the mathematical equations for density, mass, and volume. The worksheet has 10 fill in the blank statements and 3 word problems.
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
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...
Handout
Charleston School District

Solving for a Missing Dimension

For Students 8th - 10th Standards
If a can has a volume of twelve ounces, how tall it should be? If you can work with volume formulas, it's is an easy measurement to find. After finding the volume of figures in the previous lesson of the series, learners now...
Assessment
Noyce Foundation

Building Blocks

For Teachers 6th Standards
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
Activity
101 Questions

Building Boxes

For Students 6th - 8th Standards
Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...
Lesson Plan
Virginia Department of Education

Attributes of a Rectangular Prism

For Teachers 7th
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...
Assessment
CCSS Math Activities

Building Blocks

For Students 5th - 6th Standards
Math is a lot like building blocks—it requires a solid foundation. A short performance task has pupils consider the volume of a cubic block. It then asks mathematicians to find the surface area and volume of a prism made from stacking...
Activity
Indian Institute of Technology

Could King Kong Exist?

For Teachers 9th - 12th Standards
The title says it all: Could King Kong exist? Investigate how increasing the dimensions of an object affects its surface area and volume to mathematically conclude whether a creature with the weight and height of King Kong could actually...
Assessment
1
1
Balanced Assessment

Egyptian Statue

For Students 9th - 12th Standards
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
Workbook
1
1
University of Utah

Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids

For Students 7th Standards
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by...

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