Curated OER
Tools for Integrating Math and Engineering: Weighin' In
Students collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
NASA
Oh, Chute!
Using a scare model of the a test vehicle developed by the Systems Architecture and Integration Office at NASA, groups determine the dimensions for a scale model of the parachute compartment. The groups also determine the volume of the...
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...
Curated OER
Twenty Volume Of Solids Problems
In this volume worksheet, students solve twenty volume of various solids problems. The solids examined include: cylinders, cubes, rectangular prism, including how the volumes of these figures change with increased in length. The...
Curated OER
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Curated OER
Measurement
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
Curated OER
Worksheet 7 - Double Integrals
In this double integrals worksheet, the students compute antiderivatives and evaluate double integrals. They compute the volume of a solid bounded by planes. This one-page worksheet contains three multi-step problems.
Curated OER
Discussion Sheet 9: Volume and Area
In this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
Curated OER
Worksheet 4: Evaluating Integrals
In this integral activity, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page activity contains approximately twenty-five...
Curated OER
Integrations Applications
For this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
Curated OER
Discussion Sheet 10: Improper Integrals
For this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
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 between pyramid and...
Curated OER
Changing Order of Integration of a Triple Integral
For this math worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
Curated OER
Average Value of Functions
In this integrals and average value worksheet, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
Curated OER
Discussion Sheet 8: Area
In this area worksheet, learners use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
Curated OER
Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. Answers are...
Curated OER
Fuel Level in a Spherical Tank
In this spherical tanks and fuel level worksheet, learners are given a diagram showing the effects of gravity or acceleration on the level of fuel in a spherical tank. Students solve 3 problems including finding the general formula for...
Curated OER
The Region Between Two Curves
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
Curated OER
Calculus Exam
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
Curated OER
Candy Land
In this activity young scholars pretend that they have been hired by a candy manufacturer to design a box for a new product they are beginning to market. The manufacturer has pre-determined the volume of the candy box. It is the...
Curated OER
Comparing Densities of Different Liquids
Students experiment with a variety of liquids to calculate density. In this integrated science and math lesson plan, students listen to a story in which the characters must prove and explain why 5 "mystery" liquids react in a certain...
Curated OER
Multivariable Calculus: Multiple Integration
In this multiple integration worksheet, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves. ...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson in a seven-part series challenges scholars to find the mass and volume of two unknown liquids. Each...
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 to finding...