Curated OER
Volume of Solids
In this volume of solids activity, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
PBS
Arguing over Area
With the help of the Area Officers and Perimeter Patrol, you learners will develop a better understanding of area and its relationship to perimeter. First, they view a video clip from Cyberchase, and then they visit a website to test...
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
Pennsylvania Department of Education
Volume and Surface Area
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...
Digital Lesson
Cereal Box Surface Area
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous...
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same constant.
Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
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.
Virginia Department of Education
Volume of a Rectangular Prism
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity to the...
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
Surface Area of Prisms
Students compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine the volume,...
Curated OER
The Value of Volume
Students 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 triangles.
Curated OER
Calculate Volume and Surface Area: Cubes
Learners calculate the surface area of two cubes given the length of the sides. For the other two diagrams, given the volume of the cube, they determine the measure of the sides. I like the way they move forward and backward with the...
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
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
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...
Core Knowledge Foundation
Volume 2 - A History of the United States: Modern Times—Late 1800s to the 2000s
The second volume of the Core Knowledge History of the United States ebook begins by asking young scholars to consider the impact immigration, industrialization, and urbanization had on the United States in the late 1800s. The text ends...
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