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...
Lesson Plan
Curated OER

NetsS.A. of Prisms

For Teachers 10th - 12th
Students 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.
Worksheet
Curated OER

The Speed of Chemistry

For Students 9th - 12th
In this rates of chemical reactions learning exercise, students read about the various factors that influence the rate of chemical reactions such as surface area, concentration, temperature and catalysts. Students answer eight questions...
Lesson Plan
Curated OER

Soak It Up

For Teachers K - 5th
Students role play where they assume the role of business executives who must decide which of three prototypes of paper towels would be the best buy for consumers. Students compare three products to determine the best value by using...
Lesson Plan
Curated OER

Aqua-Thrusters!

For Teachers 3rd - 5th
Students construct their own rocket-powered boat called an "aqua-thruster." These aqua-thrusters will be made from a film canister and will use carbon dioxide gas - produced from a chemical reaction between an antacid tablet and water -...
Worksheet
Math Mammoth

Volume Problems

For Students 7th - 9th
In this volume problem instructional activity, students determine the volume of various objects. They compare similar objects and determine the percent of increase and decrease of the surface area and volume. This one-page instructional...
Lesson Plan
Curated OER

Geometry and Measurement

For Teachers K - 5th Standards
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Worksheet
Curated OER

Seven Sets of Area Problems

For Students 10th - 11th
For this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area.  The worksheets is divided into seven different sets of problems.
Worksheet
Curated OER

Surface Areas

For Students 6th - 8th
In this math instructional activity, students examine the measurements for the face of the triangle and trapezoid. Then they figure out the total surface area for each.
Lesson Plan
Curated OER

Area, Surface, and Volume

For Teachers 9th
Ninth graders demonstrate application of area, surface, and volume. They apply formulas to a model of the classroom so they can determine the volume and surface area of the classroom.
Worksheet
Curated OER

Using Math To Build A Swimming Pool

For Students 6th - 8th
In this math worksheet, students create the plans for building a swimming pool through calculating its surface area. Then they answer the 13 related questions.
Lesson Plan
Curated OER

Chemical Reaction Rates

For Teachers 9th - 12th
Students observe demonstrations to show factors that affect rates of chemical reactions. In this rates of chemical reactions lesson, students investigate how catalysts, reactant concentrations, temperature and surface area affect the...
Lesson Plan
Cornell University

Atomic Bonding

For Teachers 6th - 12th
Explore the connection of surface area to bonding within atoms. Learners complete lab investigations to model changing surface area with different sizes and concentrations of atoms. A flour fireball demonstration follows the labs to...
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
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...
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
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California Education Partners

Yum Yum Cereal

For Students 7th Standards
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...
Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
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...
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...
Lesson Plan
National Nanotechnology Infrastructure Network

Lab 2: Nanocatalysts Clean Your Car Emissions

For Teachers 9th - 12th
Surface area certainly surfaces as a variable for chemical reaction rates. Scholars perform an experiment to discover how the size of catalysts affect the rate of a chemical reaction. They record their results in tables and graphs to...
Assessment
Concord Consortium

Maximum Volumes

For Students 9th - 12th Standards
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Lesson Plan
Curated OER

The Surface Area of a Cylinder

For Teachers 8th - 10th
Students find the circumference and diameter of several circles and calculate the surface area of cylinders. For this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate the...
Worksheet
Curated OER

Surface Area

For Students 10th
In this geometry instructional activity, 10th graders define surface area, net and lateral face. They calculate the surface areas of cones, prisms and cubes. There are 9 surface area questions.

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