Lesson Plan
Pennsylvania Department of Education

Volume and Surface Area

For Teachers 4th - 6th Standards
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
Lesson Plan
Curated OER

Area, Surface Area and Volume of 3-D Shapes

For Teachers 7th - 10th
Math whizzes examine the relationship between area and volume and the relationship between a 3-D shape and its surface area. Following discussion and practice, pupils participate in a project in which they design packaging for a new...
Lesson Plan
Curated OER

Surface Area, Who Needs it?

For Teachers 6th - 10th
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume.  They use their knowledge to relate it to the real world by making a model of a livestock tank.
Lesson Plan
Discovery Education

Discovering Math: Exploring Geometry

For Teachers 6th - 8th Standards
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Lesson Plan
Curated OER

Fish Tanks: Volume and Surface Area

For Teachers 5th - 7th
Given a very realistic challenge, your young geometers design residential fish tanks in rectangular and triangular prism shapes. They compute the volume of water each will hold. They also determine the size of plastic covers for each...
Lesson Plan
Curated OER

The Luxor Hotel Contract

For Teachers 9th - 12th
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
Lesson Plan
Curated OER

Sphere Dressing

For Students 7th - 10th Standards
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Performance
Radford University

Build-a-Toy

For Teachers 8th Standards
Don't toy with using a fun lesson. Scholars design new toys and then create scale drawings. They determine the volume and surface area of the toys, and then research prices of raw materials to estimate the manufacturing costs.
Lesson Plan
Curated OER

Surface Area with Polydrons

For Teachers 3rd - 4th
Students explore measurements by analyzing geometric shapes. In this surface area lesson, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
Lesson Plan
Curated OER

Cover Up: Tools for Integrating Math and Engineering

For Teachers 7th - 12th
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
Unit Plan
Radford University

Next Top Model

For Students 9th - 12th Standards
Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...
Lesson Plan
Curated OER

Investigation-On the Surface

For Teachers 5th - 7th
Students compute the surface area of 3 geometric solids to determine the shape of package that would require the least amount of paper to wrap. In this geometry lesson, students work on a two-question assessment embedded in the plan. The...
Lesson Plan
Curated OER

Attack of the Raging River

For Teachers 5th - 6th
Students explore mass and volume. In this mass and volume lesson, students pretend to be on a hike and have lost their way. Students must cross a river get back on track. Students must use mass, volume, surface area, density, property...
Lesson Plan
Curated OER

Cook Me Up Some Equations

For Teachers 7th - 12th
Students study a variety of math concepts in the context of cooking up a meal. In this math lesson, students calculate surface area and volume. They draw and interpret different types of graphs.
Assessment
Achieve

Dairy Barn

For Students 7th - 10th Standards
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Unit Plan
Beyond Benign

Water Bottle Unit

For Teachers 9th - 12th Standards
How much plastic do manufacturers use to create water bottles each year? The class explores the number of water bottles used throughout the years to determine how many consumers will use in the future. Class members compare different...
Lesson Plan
Curated OER

Castles

For Teachers 10th - 11th
Students create a scale model to a castle using the dimensions they were given. They calculate the surface areas and volumes of each section of their castle.
Lesson Plan
Curated OER

New Boxes From Old

For Teachers 6th - 8th
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
Lesson Plan
Curated OER

TE Activity: The Boxes Go Mobile

For Teachers 6th - 8th
Middle schoolers create a mobile of boxes and cubes that they made in a previous lesson that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on surface areas and...
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...
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

The Value of Volume

For Teachers 9th - 11th
Students measure the perimeter and area of their polygons. In this geometry lesson plan, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of...
Lesson Plan
Curated OER

Polydron Fun

For Teachers 9th - 11th
Learners investigate nets as they relate to volume and area. In this geometry lesson, students use nets as a visual to deepen their understanding of surface area and volume of objects. They make conjectures about different objects and...
Unit Plan
Radford University

Building Your Own Home

For Teachers 9th - 12th Standards
Building a home means mastering math. Scholars apply various math topics to situations associated with the construction of a home. They consider the volume of concrete needed for a foundation, the perimeter and area of blueprints, the...

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