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...

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...

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...

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.

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...

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...

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...

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.

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...

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.

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...

Students study a variety of math concepts in the context of cooking up a meal. In this math instructional activity, students calculate surface area and volume. They draw and interpret different types of graphs.

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...

Students explore mass and volume. In this mass and volume instructional activity, 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,...

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...

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.

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.

Learners determine the number of pennies needed to fill a room.  In this pennies lesson plan, students work in groups to determine the number of pennies needed to fill a room.  They compute the probability of the head of a pin...

Young scholars 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...

Pupils 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 volumes.

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...

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...

Young scholars measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of...

Students design a cafeteria floor plan. In this area and perimeter lesson, groups create an efficient lunchroom layout on poster board by using geometric shapes and formulas as the basis for their designs. In the accompanying writing...