Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Under the Dome
Penny Cube
Use volume to count your change. Pupils watch as a cube is filled with stacks of pennies and make an estimate on how many pennies are in the cube. The teacher provides additional information to the class members about the size of the...
Radford University
Building Sandcastles
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...
Radford University
Ping Pong Packing
Bounce off some ideas to reduce the amount of wasted space. Teams work together to determine the best size and shape of container to package a large order of ping pong balls. Groups are to design the container to reduce the amount of...
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target H
Knowing the surface area certainly helps when deciding how much paint to buy before a project. Scholars solve for surface area, as well as volume and area, as part of the presentation from Grade 6 Claim 1 Item Slide Shows. Geometric...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 3
Communication is key. Eight sample items show how important communication and reasoning is for sixth grade mathematics. Part of the Claim 2-4 slide show series, the presentation uses concepts from fifth and sixth grade to illicit...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 2
They claim there are problems on the assessment. The presentation provides 13 questions that demonstrate the problem-solving claim for Smarter Balanced assessments. Teachers use the resource to provide examples of problem-solving...
Mathed Up!
Volume of Prism
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
101 Questions
Girl Scout Cookies
How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...
Concord Consortium
Build a Box
Strive for gold with an informative resource. A short task challenges learners to investigate the thickness of a box made from a given volume of gold. The box must have specific dimensions, so setting up and solving a literal equation is...
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...
Teach Engineering
Boxed In and Wrapped Up
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
101 Questions
Abundant Aluminium
That would make a lot of cans! Learners analyze a photo of a truckload of aluminum to determine its value. The provided information includes the weight of a smaller block and the dimensions of the larger block. It's up to your...
101 Questions
Dandy Candies
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
Annenberg Foundation
Geometry 3D Shapes: Test Your Skills
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Annenberg Foundation
Geometry 3D Shapes: Surface Area and Volume
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
CK-12 Foundation
Linear, Quadratic, and Cubic Models: The Box Model
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...
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,...
EngageNY
Real-World Volume Problems
How long does it take to fill a typical swimming pool? Prepare your pupils to answer similar questions using the 28th lesson in the 29-part module. The engaging lesson asks individuals to solve problems connected to the flow rate. All...
EngageNY
Volume of Composite Three-Dimensional Objects
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
EngageNY
Volume of Right Prisms
Apply volume and area formulas to find the volume of any right prism. The 26th instructional activity of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V =...