Student Exploration Longitudinal Waves Answer Key

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Underlying some of the key terms are the concepts of frequency and wavelength. Students learn the relationship between frequency and wave period and the relationship between wavelength and the reciprocal of frequency. All of these concepts can be illustrated using a simple pendulum model.

This task is appropriate for Class 4 students. It is based on the idea that the percentage of H2O in the oceans is decreasing because of human activities. The goal of the students is to use the piece of information they have (about the percentage of H2O in the oceans) to find the volume of the oceans. Since the answer is not simple, the students can and should make multiple attempts. This task addresses MAFS.K12.MP.1.7, MAFS.K12.MP.1.10, and MAFS.K12.MP.2.1.

With the inclusion of a density based task (involving the concepts of density, mass, and force, and how they are measured) comes the need for students to understand the relationship between density and volume. This is a very common issue in science, with students always trying to find the volume given an object's mass and density. Students need to understand that volume (and therefore mass and density) is not the same for all objects.

The task requires the students to consider things such as basic physics principles, basic chemical principles, and the fundamental aspects of numbers. The students need to use the concept of multiplication and division in order to find the number of gallons of water.

It is a good task for upper level students, because it involves the concept of volume and the chemical properties of water. This task addresses the concept of uniform circular motion (involving force, velocity, acceleration, and the concepts of mass, impulse, and work). Students also are developing the ability to reason quantitatively by comparing parts (a) and (b). This is a good task for upper level students, because it involves the concepts of the relationship between frequency and wavelength, and the relationship between velocity and distance.

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