EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a activity on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
Curated OER
Double, Double: Looking at the Effect of Change on Perimeter, Area and Volume
Learners explore perimeter, volume, and area. In this math lesson, students explore how changes in dimensions of geometric shapes affect the perimeter, area and volume of the various shapes. Learners investigate the results when the...
Curated OER
Effect on Surface Area and Volume
Students identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They discuss...
Curated OER
Surface Area and Volume of Similar Solids
Learners explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Curated OER
Area and Volume
In this area and volume worksheet, students calculate the area, volume, and length of sides of different cubes. Students complete this for 3 cubes and answer 3 questions.
Curated OER
Finding the Area & Volume of Buildings Using Architectural Drawings
Fifth graders find the area and volume of buildings. In this architecture lesson, 5th graders look at the drawings of three historic Tennessee buildings. They use these to help find the area and volume of the building.
Curated OER
Surface to Volume Ratios
High schoolers measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Volume of Rectangular Prism and Cylinder
Learners calculate volume of rectangular prisms and cylinders. They draw and label figures to use the formulas to calculate the volume of rectangular prisms. In addition, they use objects to calculate volume in a hands on activity.
Curated OER
Calculate Surface Area Worksheet
Learners calculate the surface area of three rectangular prisms, including a cube, based on given dimensions. There are only three diagrams with which to work. Nice homework, as it provides practice, but isn't too much busy work or...
Curated OER
Decomposing Rectangular Solids
In this surface area and volume worksheet, students solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the illustrated...
Discovery Education
Discovering Math: Exploring Geometry
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...
Curated OER
Areas and Volumes
Tenth graders calculate the area and the volumes of polygons. In this geometry lesson, 10th graders review the formulas used to solve for the area and volume and explain to the class how they arrived at their answer. They search online...
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. For this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Curated OER
Volume of Cones
Learners identify the volume of cones and pyramids. In this geometry lesson, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
Curated OER
Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
Curated OER
Fish Tanks: Volume and Surface Area
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...
Curated OER
Length, Perimeter, and Area
Young scholars explore the concepts of length, perimeter, and area. For this math lesson, students use Shape Explorer to practice finding length, perimeter, and area.
Curated OER
Volume Review
Students investigate the concepts of volume for rectangular prisms and spheres. They measure the volume of one balloon and then consider how many breaths it would take to fill the room with balloons. The rectangular prism being measured...
National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
Curated OER
Surface Area, Who Needs it?
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.
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Curated OER
Measuring the Volume of Water Discharge for a Stream or Canal
Students study how to measure and calculate the volume of water flowing down a stream or canal and use simple tools to make measurements. Next, students determine how many people cold live off the volume of water measured. Finally, they...