Illustrative Mathematics
Computing Volume Progression 1
Finding the volume of a right rectangular prism is the focus of the resource. Worksheet includes a drawing of a cube to help learners visualize the concept. Young geometers will learn that as the side length increases, so does the...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Illustrative Mathematics
Computing Volume Progression 3
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
101 Questions
Building Boxes
Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Illustrative Mathematics
3-D Shape Sort
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
TeachEngineering
Teach Engineering: 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...
TeachEngineering
Teach Engineering: The Boxes Go Mobile
To display the results from the previous activity, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the...
National Council of Teachers of Mathematics
Nctm: Figure This: Keeping Cool
Is it better to by block ice or crushed ice? Use your logical reasoning and measurement skills to solve this challenge that compares surface area of block ice and the same block cut into three cubes. A one page activity from the NCTM...
History is Fun
Jan Brett: Geometric Solids Flashcards Pdf
Print out these colorfully illustrated PDF file pages to practice learning your basic three dimensional geometric solids. Fold them in half and one side shows the shape while the other side shows the shape with the correct name. Put them...
University of Cambridge
University of Cambridge: Nrich: Building With Solid Shapes
Predict which solid shape constructions would be unstable as shown at this one page website. Solutions are available right at the website.