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Applications of Systems of Equations: An Electronic Circuit
Content Provider | TeachEngineering: STEM curriculum for K-12 |
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Author | Livezey, Marianne |
Copyright Year | 2017 |
Description | Students use Ohm’s law to solve for current values, given a system of linear equations that mathematically models a circuit. From the same schematic, groups create electric circuits using breadboards, resistors and jumper wires. They use voltmeters to measure the current flow across five resistors. They compare the mathematically derived current values to measured values and calculate percentage differences. They see that real-world applications of science depend on mathematics. Quiz and worksheet included. Does the real-world application of science depend on mathematics? In this activity, students answer this question as they experience a real-world application of systems of equations. Given a system of linear equations that mathematically models a specific circuit—students start by solving a system of three equations for the currents. After becoming familiar with the parts of a breadboard, groups use a breadboard, resistors and jumper wires to each build the same (physical) electric circuit from the provided circuit diagram. Then they use voltmeters to measure the current flow across each resistor and calculate the current using Ohm’s law. They compare the mathematically derived current values to the measured values, and calculate the percentage difference of their results. This leads students to conclude that real-world applications of science do indeed depend on mathematics! Students make posters to communicate their results and conclusions. A pre/post-activity quiz and student worksheet are provided. Adjustable for math- or science-focused classrooms. |
Language | English |
Access Restriction | Open |
Rights Holder | Regents of The University of Colorado Michigan State University |
Subject Keyword | Algebra Measurement Problem Solving Reasoning and Proof Science and Technology |
Content Type | Text |
Time Required | PT1H15M |
Education Level | Class IX Class X Class XI Class XII |
Pedagogy | Experimental Activity |
Resource Type | Hands-on |
Subject | Modern Physics Geometry Technical |