Curated OER
The Calculus Whiz Who Owned a Box Company
Young scholars use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Curated OER
A Cylinder Workshop
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
Curated OER
Color Your World
Students calculate the cost of painting a room. In this surface area lesson, students create a scale model from provided dimensions of a bedroom. Groups use area formulas to find square footage, from which materials and labor costs are...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 6
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
Curated OER
Spheres
In this geometry worksheet, students complete a chart that compares the surface area and volume of a sphere. There are 21 blanks to complete on the chart.
Utah Education Network (UEN)
Candies R Us
A box is fun to make, especially when it's a candy box! These activities help to cement understanding of the difference between surface area and volume. Have individuals measure the surface area of their box in two-dimensions before...
Curated OER
Using Nets to Find Surface Area
Eighth graders explore three-dimensional objects (prisms, pyramids, cylinders and cones) to draw nets. They use the understanding of drawing nets to find the surface area of pyramids and cylinders.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
Volume, Surface Area for Cylinders
Seventh graders explore the concept of volume and surface area of cylinders. In this volume and surface area of cylinders lesson, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students discover that...
Curated OER
Surface Area and Volume of a Cube
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...
Curated OER
Linear, Square, and Cubic Units
Linear, square, and cubic units are all investigated as different types of packages are measured. The teacher will need supplies such as a box of aluminum foil, a package of ribbon, and a bag of mulch. The class determines the...
Curated OER
Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
Curated OER
Surface Area of Cubes and Rectangular Prisms
Eighth graders calculate surface area of 3-D shapes. In this geometry lesson, 8th graders analyze cubes and prisms by finding their area and surface area. They compare the data of these two shapes.
Curated OER
Cut It Out!
Students calculate the surface area of polygons. In this geometry activity, students use spacial reasoning to find the answer to their problem. They analyze solids and create formulas to estimate the measurements of the area.
Discovery Education
Weathering Cubes
Weathering is not necessarily a result of the weather. Scholars conduct an experiment to explore the effect of surface area and volume on the weathering process. They create their own sugar cube rocks using the same number of cubes—but...
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Curated OER
Calculating in Construction - Area
In this area instructional activity, students solve 6 short answer problems. Students find the area of a figure composed of regular polygons such as triangles, rectangles, squares, etc given a sketch of the figure.
Curated OER
Area: It's What's on the INSIDE That Counts!
Second graders participate in a series of hands-on, online and multimedia activities that examine the concept of area. They view clips from the animated series Math Monsters and discuss the purpose of area and how it is used in the real...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
University of Wisconsin
Sizing a Rain Garden
Most appropriate if you are applying the entire unit to build a rain garden at your school, this installment involves calculating the area that will drain into it. Your garden planners will need data from previous lessons, so this one...
Teach Engineering
Surface Tension Lab
What constitutes a good soap bubble? In the second installment of a nine-part series, scholars apply their understanding of surface tension to soap bubbles. They experiment to determine the best solutions to use for the...
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it all!