PBS
Surface Area and Volume
You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the instructional activity develops the definition of a general cylinder. Scholars continue on to develop a...
Santa Monica College
Introducing Measurements in the Laboratory
We use basic units of measurement to break down things and communicate clearly. The first activity in an 11-part series teaches the proper way to measure various items. It starts simply with measuring the dimensions and areas of...
Curated OER
Cubic Unit Models
Fourth graders find the volume of solids. In groups, 4th graders use spinners to determine the dimensions of solids. They construct the shapes, creating a model of the figure Students count the cubes in the model to determine the...
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
Volume and Surface Area
In this volume and surface area instructional activity, learners read about volume and area, then solve a set of problems arranged in increasing order of difficulty.
Curated OER
Scale Factor- Surface Area and Volume
Students calculate the surface area and volume of shapes. In this geometry lesson, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and shapes.
Curated OER
Dissecting the Cube
Students investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
Curated OER
Hydrogen Peroxide Analysis
A scenario is presented for chemistry techs to address. Using titration techniques, they must analyze hydrogen peroxide solution samples. They evaluate accuracy and precision in the process. They also gain experience consulting the MSDS...
Curated OER
Fill and Wrap It Up
Middle schoolers find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area,...
Curated OER
Geometry Journal: Classifying Solids
In this geometry worksheet, 10th graders respond to journal prompts related to prisms and classifying solid shapes. The two page worksheet contains nine questions. Answers are included.
Curated OER
Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
Curated OER
Who Wants to Carry a Million?
Students, in groups, determine the volume of a box large enough to hold a million dollars. They calculate the dimensions of a bill and the volume of the money.
CCSS Math Activities
Building Blocks
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...
101 Questions
You Pour, I Choose
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
Pennsylvania Department of Education
Determine Volume of Solids Using Water Displacement
Students explore math functions by completing math equation worksheets. In this inequality lesson, students define a list of math terms and discuss the difference between an equation and inequality. Students utilize a real life situation...
Curated OER
Poly-Mania
This hands-on instructional activity takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable...
Curated OER
Two for One Box Company
Here is a challenging and thought-provoking math worksheet. In it, learners work together to construct a variety of boxes of different sizes to see if doubling the size of a box really means it can hold twice as much stuff as the...
Noyce Foundation
Piece it Together
Score some problems all related to soccer balls. The first few problems focus on pattern blocks to see relationships between figures. More advanced problems focus on actual soccer balls, the patterns on the balls, and their volumes and...
Curated OER
Cubic Volume
Fifth graders record measurements and calculate the volume. They select and use appropriate units and procedures to measure volume # use tools such as technology to solve problems
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Students identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use Internet...
Curated OER
Two for One Box Company
Students draw a net (a two-dimensional pattern that can be formed to make a solid) for making an open top box on grid paper. They cut out the net and fold up each side to form the open box and tape the sides, then find the volume of the...
Curated OER
Investigation-On the Surface
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...