Learners characterize a physical change as something that changes to a different size, but retains its basic substance. They measure volumes using milliliters, and perform an experiment that proves that gases expand when hot and contract...

Students investigate the linear dimension change of heated plastic film and relate the results to processing and service use of the materials. They calculate percent change in dimension as related to anisotropy and molecular reorientation.

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...

Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns. 

Young scholars examine the constant changing of the Earth's atmosphere. After labeling the layers of the Earth, they identify various processes inside the Earth that can cause gases to be emitted. Using the internet, they research how...

Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...

Eighth graders experiment to decide if a box that is twice as big holds twice a much. They work the concept of volume and how changing dimensions affect it.

Students measure various dimensions of a male and a female dolls body and scale them proportionally to average human measurements. They calculate the appropriate scale factor (magnitude) to enlarge their doll and apply that scale factor...

Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...

Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...

There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...

Motivate young scientists to stand up and take action with this environmental science lesson. To begin, the class works in small groups brainstorming actions that support the conservation of the earth before creating and implementing an...

Don't be fooled: the taller glass doesn't always hold the most. Given the dimensions of different cylindrical containers for beverages and popcorn, pupils calculate the volumes. They see how changing the dimensions affects the volume and...

Tip the scale in your favor when learning about scale factors. After viewing a video clip of a learner trying to determine the scale factor of the areas of two rectangles, scholars consider how changing the dimensions of a rectangle...

Any vintage video game users in the room? Young scholars use a video presentation to analyze patterns in pixel arrangements. By writing an arithmetic sequence, they make predictions about the size of the image.

High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...

Students solve matrices using multiplication. In this algebra lesson, students identify the properties needed to multiply matrices. They define the terms matrix and dimensions.

The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...

Learners identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson plan, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They...

Tenth graders investigate the volume of a cylinder.  In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions.  The lesson progresses to the use of the formula to find...

Students manipulate a model of a wave in order to solve the wave equation in 1 dimension. By using a model of a wave on a string the student is able to change the tension, length, and mass of the string as well as fix either end of the...

Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.

Third graders experiment with beakers of water and balloons to measure the volume of the gas in the balloon. They determine ways to change the volume of air in the balloon which changes its size but not its physical state. By heating the...

Students expand upon previous lessons with sled kites by varying the dimensions or materials while building a news sled kite while working in a team. They fly their original kites and the new ones under similar conditions to determine...