Interactive
Curated OER

Cubes Online

For Students 4th - 6th
Upper graders must find the surface area and volume of a shape, given the length. There are 10 problems for students to solve and submit.
Worksheet
Curated OER

Cross Sections and Collision Times

For Students 9th - 12th
High schoolers solve five problems including finding the cross sectional area of two bodies, determining the swept out volume of a moving body, finding the average particle volume of a body and determining the collision time for a body.
Lesson Plan
Curated OER

It Takes Ten

For Teachers 2nd - 5th
Review and use standard units of measure with your math class. They move from station to station estimating and measuring length, volume, weight, and area. At each station they estimate and measure, and then compute the difference...
Activity
Teach Engineering

Build the Biggest Box

For Students 8th - 10th Standards
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
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...
Activity
2
2
Teach Engineering

Measuring Viscosity

For Teachers 10th - 12th Standards
Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...
Lesson Plan
Curated OER

SA/V Ratio and Rate of Diffusion

For Teachers 9th - 12th
Students calculate the SA/V ratio and volume of phenophthalien agar that are cut into different shapes. They then let ammonia diffuse into the various pieces of agar and determine the effect that SA/V had on the rate of diffusion.
Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
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...
Lesson Plan
Curated OER

Who Wants to Carry a Million?

For Teachers 7th - 9th
Students, in groups, determine the volume of a box large enough to hold a million dollars. They calculate the dimensions of a bill and the volume of the money.
Lesson Plan
Curated OER

NetsS.A. of Prisms

For Teachers 10th - 12th
Young scholars build nets of three-dimensional prisms based on the dimensions they are given for hexagonal prism, triangular prism, rectangular prism. Working in groups, they use their prisms and calculate the Surface Area and Lateral Area.
Lesson Plan
Curated OER

Advanced Algebra with the TI-89

For Teachers 9th - 12th Standards
Pupils investigate the formulas for volumes of various solids using the Ti-89 calculator. The instructional activity focuses on the keying sequences necessary to embed the required volume formula in a program which is then used in the...
Worksheet
Curated OER

3D Shapes

For Students 10th
In this 3D shapes worksheet, 10th graders solve and complete 5 various types of problems. First, they find the area of the logo item shown. Then, students find the height of a cuboid given its length and width. In addition, they circle...
Worksheet
Curated OER

Calculus Test: Integral

For Students 10th - 12th
In this integral activity, learners determine the area of a region bounded by given lines.  They compute the volume of a solid in a specified region.  This two-page activity contains 10 multi-step problems.
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.
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...
Assessment
Inside Mathematics

Swimming Pool

For Teachers 9th - 11th Standards
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Activity
1
1
Teach Engineering

Determining Densities

For Teachers 7th - 9th Standards
Don't be dense—use a robust resource. The second installment of a five-part Floaters and Sinkers unit has learners determine the densities of several objects. As part of the activity, they learn the displacement method for finding...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Mathematics (Module 7)

For Students 8th Standards
It's time to discover what your classes have learned! The final lesson in the 25-part module is an assessment that covers the Pythagorean Theorem. Application of the theorem includes distance between points, the volume of...
Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Activity
1
1
Teach Engineering

Density Column Lab - Part 2

For Teachers 7th - 9th Standards
Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the...
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Lesson Plan
1
1
Teach Engineering

Floaters and Sinkers

For Teachers 7th - 9th Standards
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Activity
Teach Engineering

Scale Model Project

For Students 8th - 10th Standards
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...