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...
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
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...
Activity
101 Questions

File Cabinet

For Teachers 6th - 8th Standards
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Assessment
1
1
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...
Activity
Illustrative Mathematics

Ice Cream Cone

For Teachers 9th - 12th Standards
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
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...
Activity
Exploratorium

Tired Weight

For Teachers 6th - 12th Standards
You don't need a scale to determine weight. This activity provides a way to use the concepts of air pressure and surface area to determine the weight of a vehicle by calculating the amount of weight each tire supports.
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...
Unit Plan
Big Learning

The Antarctica Project: A Middle School Mathematics Unit

For Teachers 6th - 8th
Antarctica is a big place, large enough to provide ample opportunities to learn about math. A two-week unit teaches middle school mathematics concepts using project-based learning. The resource covers functions, geometry (area,...
Handout
2
2
Alaska Department of Education

Mathematics Reference Sheet

For Teachers 5th - 10th Standards
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
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. In 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.
Worksheet
Curated OER

Surface Area of a Leaf (Grades 7-9)

For Students 7th - 9th
In this math and science learning exercise, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric...

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