The purpose of this task is to give students experience modeling a …
The purpose of this task is to give students experience modeling a real-world example of exponential growth, in a context that provides a vivid illustration of the power of exponential growth, for example the cost of inaction for a year.
In this project students will research and then build a basic solar …
In this project students will research and then build a basic solar cooker shell made out of cardboard. Then they will run a variety of materials through experiments. Data from the experiments will be used to determine which materials should be added to the solar cooker shell to improve its ability to heat up food.
This project was created as a collaboration between a science and an engineering/woodshop class. The engineering class researched and build the basic solar cooker cardboard shells. The science class tested additional materials to add to the shells to improve the solar cookers. Then the engineering class, following the directions from reports created by the science class, added the materials to the solar cooker shells to create the final products.
Total solar eclipses are quite rare, so much so that they make …
Total solar eclipses are quite rare, so much so that they make the news when they do occur. This task explores some of the reasons why. Solving the problem is a good application of similar triangles
The typical system of equations or inequalities problem gives the system and …
The typical system of equations or inequalities problem gives the system and asks for the graph of the solution. This task turns the problem around. It gives a solution set and asks for the system that corresponds to it. The purpose of this task is to give students a chance to go beyond the typical problem and make the connections between points in the coordinate plane and solutions to inequalities and equations. Students have to focus on what the graph is showing.
There is a non-mathematical fact that students must know about mixtures in …
There is a non-mathematical fact that students must know about mixtures in order to answer this question. When salt is dissolved in water, the salt disperses evenly through the mixture, so any sample from the mixture that has the same volume will have the same amount of salt.
In this project, students will use knowledge of electricity and electromagnetism to …
In this project, students will use knowledge of electricity and electromagnetism to collaboratively design and test a model of a magnetic recycling sorter. They will evaluate the performance of their models and propose further modifications based on the output of their magnetic device measured in mT using a Vernier probe. They will also physically test their magnets on a model of a conveyor belt containing recyclable items. Students will track their data from both tests, with the ultimate goal of creating the strongest and most effective magnet with given materials. Finally, students will present their findings and proposed final design to peers and community partners involved in the recycling industry. The entire process takes about 6 weeks. The unit is a great fit for standards within energy and engineering & design.
This activity builds on Sort and Count I. It also helps students …
This activity builds on Sort and Count I. It also helps students become familiar with the math vocabulary more/less/same and most/least as they sort, count, and compare small groups of objects.
This simulation lets you see sound waves. Adjust the frequency or volume …
This simulation lets you see sound waves. Adjust the frequency or volume and you can see and hear how the wave changes. Move the listener around and hear what she hears.
The purpose of this task is to have students compute and interpret …
The purpose of this task is to have students compute and interpret an expected value, and then use the information provided by the expected value to make a decision. The task is designed to encourage students to communicate their findings in a non-technical form in context.
The purpose of this task is to allow students to demonstrate an …
The purpose of this task is to allow students to demonstrate an ability to construct boxplots and to use boxplots as the basis for comparing distributions. The solution should directly compare the center, spread, and shape of the two distributions and comment on the high outlier in the northbound data set.
The purpose of this task is to present students with a context …
The purpose of this task is to present students with a context that can naturally be represented with an inequality and to explore the relationship between the context and the mathematical representation of that context; thus, this is an intended as an instructional task.
This is a rectangle subdivision task; ideally instead of counting each square. …
This is a rectangle subdivision task; ideally instead of counting each square. students should break the letters into rectangles, multiply to find the areas, and add up the areas. However, students should not be discouraged from using individual counting to start if they are stuck. Often students will get tired of counting and devise the shortcut method themselves.
This task uses language, "half of the stamps," that students in Grade …
This task uses language, "half of the stamps," that students in Grade 5 will come to associate with multiplication by the fraction 12. In Grade 3, many students will understand half of 120 to mean the number obtained by dividing 120 by 2. For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.
Watch different types of molecules form a solid, liquid, or gas. Add …
Watch different types of molecules form a solid, liquid, or gas. Add or remove heat and watch the phase change. Change the temperature or volume of a container and see a pressure-temperature diagram respond in real time. Relate the interaction potential to the forces between molecules.
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