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Knowledge and Skills Statement

Recurring themes and concepts. The student understands that recurring themes and concepts provide a framework for making connections across disciplines.

Both scientists and engineers use proportionality and ratios to understand quantity and scale and the relationship between physical characteristics. To appreciate the relative magnitude of some properties or processes, it may be necessary to grasp the relationships among different types of quantities. For example, speed is the ratio of distance traveled to time taken and density is the ratio of mass to volume.

In thinking scientifically about systems and processes, it is essential to consider scale. Scientists study natural phenomena that span full scales of size, time, and energy, from very small to very large. Scientists can make macroscopic observations through direct observation with the naked eye. They use experimental techniques and tools to observe other scales that may be too small or large or too slow or fast to observe directly. 

A proper understanding of scale relationships is critical to engineering. A sense of scale is necessary to know what properties and aspects of shape or material are relevant at a particular magnitude or when investigating specific phenomena. Structures cannot be conceived or constructed without an engineer’s precise sense of scale. 

an equation showing two ratios that are equivalent

a count of a set of objects or a measurement of a substance

a set of ideas that provide a connective structure that facilitates students’ comprehension of the phenomena under study in a particular discipline and supports student sensemaking across larger themes in science

a ratio between two sets of measurements

a regularly interacting or interdependent group of items forming a unified whole

Research

National Research Council. A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas. 2021. Washington: The National Academies Press  https://doi.org/10.17226/13165

Summary: A sense of scale helps students better understand natural phenomena they observe daily. This chapter explains that early childhood students should start by using familiar language to discuss scales such as “biggest,” “hottest,” and “fastest” rather than immediately using units of measure.  Using models is important for young students to begin learning about scale. Younger students should start to use counting, comparisons, and measurements to describe the scale and, eventually, be able to use graphs to represent their findings.