“The Mathematicians” -- Students will consider the scaling and ratio of the prosthetic design in relation to the child’s age and arm circumference. Students will develop and conduct their own research method to critically analyze existing scaling charts to determine accuracy in currently utilized practices among e-NABLE candidates and volunteers. Students will enter and display their data using Google Forms and Sheets to generate a line graph in which they can compare and contrast their findings against the research displayed in existing scaling charts. In addition, students will 3D print their own models according to the data and convert the scaling percentage ratio into a decimal format to conclude the difference in inches.
7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships
NY-7.RP2 Recognize and represent proportional relationships between quantities.
NY-7.RP3 Use proportional relationships to solve multi-step ratio and percent problems.
6L6: Acquire and accurately use general academic and content-specific words and phrases; apply vocabulary knowledge when considering a word or phrase important to comprehension or expression.
7W5: Draw evidence from literary or informational texts to support analysis, reflection, and research.
7W6: Conduct research to answer questions, including self-generated questions, drawing on multiple sources and refocusing the inquiry when appropriate. Generate additional related questions for further research and investigation.
7SL2: Analyze the central ideas and supporting details presented in diverse formats (e.g., including visual, quantitative, and oral) and explain how the ideas clarify and/or contribute to a topic, text, or issue under study.
7SL4: Present claims and findings, emphasizing salient points in a focused, coherent manner with relevant descriptions, facts, details, and examples; use appropriate eye contact, adequate volume, and clear enunciation.
7SL5: Include digital media and/or visual displays in presentations to clarify claims and findings and emphasize salient points.
Modeling in 6–8 builds on K–5 and progresses to developing, using and revising models to describe, test, and predict more abstract phenomena and design systems.
Develop a model to predict and/or describe phenomena.
Definitions of Energy
The term “heat” as used in everyday language refers both to thermal energy (the motion of atoms or molecules within a substance) and the transfer of that thermal energy from one object to another. In science, heat is used only for this second meaning; it refers to the energy transferred due to the temperature difference between two objects.
The temperature of a system is proportional to the average internal kinetic energy and potential energy per atom or molecule (whichever is the appropriate building block for the system’s material). The details of that relationship depend on the type of atom or molecule and the interactions among the atoms in the material. Temperature is not a direct measure of a system's total thermal energy. The total thermal energy (sometimes called the total internal energy) of a system depends jointly on the temperature, the total number of atoms in the system, and the state of the material.
Cause and Effect
Cause and effect relationships may be used to predict phenomena in natural or designed systems.
Planning and Carrying Out Investigations
Planning and carrying out investigations to answer questions or test solutions to problems in 6–8 builds on K–5 experiences and progresses to include investigations that use multiple variables and provide evidence to support explanations or design solutions.
Plan an investigation individually and collaboratively, and in the design: identify independent and dependent variables and controls, what tools are needed to do the gathering, how measurements will be recorded, and how many data are needed to support a claim.
Connections to Nature of Science
Scientific Knowledge is Based on Empirical Evidence
Science knowledge is based upon logical and conceptual connections between evidence and explanations.
Forces and Motion
The motion of an object is determined by the sum of the forces acting on it; if the total force on the object is not zero, its motion will change. The greater the mass of the object, the greater the force needed to achieve the same change in motion. For any given object, a larger force causes a larger change in motion.
All positions of objects and the directions of forces and motions must be described in an arbitrarily chosen reference frame and arbitrarily chosen units of size. In order to share information with other people, these choices must also be shared.
Stability and Change
Explanations of stability and change in natural or designed systems can be constructed by examining the changes over time and forces at different scales.
Constructing Explanations and Designing Solutions
Constructing explanations and designing solutions in 6–8 builds on K–5 experiences and progresses to include constructing explanations and designing solutions supported by multiple sources of evidence consistent with scientific ideas, principles, and theories.
Apply scientific ideas or principles to design, construct, and test a design of an object, tool, process or system.
Definitions of Energy
Temperature is a measure of the average kinetic energy of particles of matter. The relationship between the temperature and the total energy of a system depends on the types, states, and amounts of matter present.
Conservation of Energy and Energy Transfer
Energy is spontaneously transferred out of hotter regions or objects and into colder ones.
Defining and Delimiting an Engineering Problem
The more precisely a design task’s criteria and constraints can be defined, the more likely it is that the designed solution will be successful. Specification of constraints includes consideration of scientific principles and other relevant knowledge that is likely to limit possible solutions.
Developing Possible Solutions
A solution needs to be tested, and then modified on the basis of the test results in order to improve it. There are systematic processes for evaluating solutions with respect to how well they meet criteria and constraints of a problem.
Energy and Matter
The transfer of energy can be tracked as energy flows through a designed or natural system.
MS-ETS1-2. Evaluate competing design solutions using a systematic process to determine how well they meet the criteria and constraints of the problem.
Engaging in Argument from Evidence
Engaging in argument from evidence in 6–8 builds on K–5 experiences and progresses to constructing a convincing argument that supports or refutes claims for either explanations or solutions about the natural and designed world.
Evaluate competing design solutions based on jointly developed and agreed-upon design criteria.
Developing Possible Solutions
There are systematic processes for evaluating solutions with respect to how well they meet the criteria and constraints of a problem.
MS-ETS1-4. Develop a model to generate data for iterative testing and modification of a proposed object, tool, or process such that an optimal design can be achieved.
Developing and Using Models
Modeling in 6–8 builds on K–5 experiences and progresses to developing, using, and revising models to describe, test, and predict more abstract phenomena and design systems.
Develop a model to generate data to test ideas about designed systems, including those representing inputs and outputs.
Developing Possible Solutions
A solution needs to be tested, and then modified on the basis of the test results, in order to improve it.
Models of all kinds are important for testing solutions.
Optimizing the Design Solution
The iterative process of testing the most promising solutions and modifying what is proposed on the basis of the test results leads to greater refinement and ultimately to an optimal solution.
Web Publication Development Date: February, 2020