Curated OER
Area of Regions
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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
Surface to Volume Ratios
Students measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The activity is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Volume of Rectangular Prisms: Algebra/Geometry Institute Summer 2009
Young scholars find the volume of rectangular prisms. For this volume lesson, students use a formula to find the volume of rectangular prisms. They discuss the definition of volume and draw rectangular prisms. Young scholars identify...
Curated OER
Perimeter, Area, and Volume
In this geometry worksheet, 10th graders determine the perimeter, area, or volume of the indicated figure. The five page worksheet contains a combination of twenty-two multiple choice and free response questions. Solutions and rubrics...
National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
Curated OER
Exploring Number and Operation in Secondary Mathematics
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
Curated OER
Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.
Curated OER
Volumes of Solids of Revolution
In this volumes of solids worksheet, students determine the volume of a solid of revolution by using the disk/washer method or the shell method. Explanations and examples are given prior to the exercise. This one-page worksheet contains...
Curated OER
Pump Up the Volume
Fourth graders calculate volume. In this volume lesson, 4th graders calculate, estimate, and compare units of volume in English and metric systems.
Curated OER
Worksheet 37 - Practice Exam III - Integrals
In this integral worksheet, students use double integration to find area and volume. They identify the limits of a sequence. This one-page worksheet contains 11 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
NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. In this calculus lesson plan, students use integration to find the volume of a solid generated by a region, the Orion crew module.
Curated OER
It Takes Ten
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...
Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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...
Teach Engineering
Earthquakes Living Lab: Geology and Earthquakes in Japan
Sometimes it seems as if earthquakes hit the same places over and over again. Class members study Japan in order to determine why earthquakes keep happening there. Pairs work together to research and try to determine whether there are...
Curated OER
Disc/Washer Method
Young scholars calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections...
Curated OER
Worksheet 14
In this algebra worksheet, 11th graders solve two problems where they must determine volume using the cylindrical shells method. This would be a great review sheet or warm up.
Curated OER
Discussion Sheet 8: Area
In this area worksheet, students 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...
Teach Engineering
Above-Ground Storage Tanks in the Houston Ship Channel
Introduce your class to storage tank failures caused by major storms with an activity that looks at how the concepts of Archimedes' Principle and Pascal's Law affect the storage tanks along the Houston Ship Channel. The background...
Curated OER
AP Calculus Test Chapter 7
In this calculus activity, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page activity contains a combination of ten multiple choice and free response questions and is to be used...
Curated OER
Measurement
In this measurement worksheet, 7th graders solve 14 various types of problems that include completing a table with the base, height, and/or area of triangles and solving a number of word problems with measurement. They also estimate the...