Illustrative Mathematics
How Thick Is a Soda Can II?
Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
Curated OER
A Practical Application For Area
First graders investigate the concept of surface area and find the coverage for the surfaces in a building that includes carpet or walls. The application of finding the area is practical using the everyday objects to help them to make...
Curated OER
Our Sun
In this space science worksheet, students use the clues at the bottom of the sheet to solve the crossword puzzle on our sun. They identify the cooler and visible surface areas of the sun, as well as what sunspots are on the sun.
Curated OER
Walking Magic
Students conduct experiment with water striders by placing the insect in two different solutions and discuss their observations. They discover that weight and surface area are important factors in their experiment.
Curated OER
Cylinders and Scale
Students review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises them...
Curated OER
Worksheet 25 - Chain Rule
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume. They apply formulas to a model of the classroom so they can determine the volume and surface area of the classroom.
Curated OER
Counting Craters on the Hubble Space Telescope!
For this Hubble Space Telescope worksheet, learners are given a photograph of the radiator recovered after being in space on the Hubble Space Telescope since 1993. Students solve 6 problems about the impacts that left craters on the...
Curated OER
The Six Faces of Garbage
Middle schoolers use the mathematics of surface area to approach the problem of garbage pollution from the classroom. After watching a video, students construct replicas of cereal boxes and compute their surface area.
Curated OER
Surface to Volume Ratios
Young scholars 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
Stellar Temperature, Size and Power
In this stellar temperature of stars worksheet, students use a given formula that relates the stellar light output with the surface area and temperature of a star to solve 3 problems. Students find luminosities of different stars and...
Curated OER
New Boxes From Old
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...
Curated OER
Traditional American Indian Lodges
Students explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size pyramid...
Curated OER
Antacid Tablet Race
Students compare the reaction rates of effervescent antacid tablets under different conditions. They investigate methods of increasing the power of rocket fuels by manipulating surface area and temperature.
Alabama Learning Exchange
Effects of Friction on a Moving Block
Students investigate how friction affects the movement of a block across surface areas. They test five different kinds of surfaces—smooth surface, wax paper, a paper towel, course, and fine sandpaper. They predict and record the results...
Curated OER
Black Hole Power...X
In this power of black holes instructional activity, students solve 6 problems including finding the surface area of a black hole, determining the amount of matter in the black hole shell, finding the rest mass energy and determining the...
Curated OER
How Bright are the Stars?
Students observe the brightness of stars and are introduced to the concept of apparent brightness as a measure of how much light hits a detector of a surface area during a given time. In this star lesson, students make connections...
Curated OER
Where Will The Couch Fit?
Students name the area formula and describe how it works. They use area formula to calculate the surface area of various objects. They use the area formula to design a floor plan of an apartment.
Curated OER
Rectangular Prisms (F)
In this finding the volume and surface area of rectangular prisms worksheet, learners observe the figures with their dimensions in centimeters and apply the formulas to solve. Students solve 3 problems.
Curated OER
How do living and non-living structures affect coral reef habitats?
Students create model coral reefs showing surface area and including examples of communities. In this coral reef lesson, students research and explore the functions or benefits from a coral reef. Students design a benthic habitat....
Curated OER
Baseball Geometry
Students apply various methods for finding the volume and surface area of sphere. They compare and contrast results among these mathematical methods. They work in cooperative groups to discuss their results with one another.
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