HS Functions

Where Do We Meet? REI

sanchezesa Common Core State Standards Mathematics, HS Algebra, HS Functions, Improve Mathematical Thinking, ML Modeling, Technology Teaching Issues , , , , , ,

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WHERE DO WE MEET?

Where do we meet is an interactive activity that uses technology and mathematical concepts to create and solve real life scenarios. One of the Vernier products to compliment this lesson is the Motion Detector. This device allows for data to be collected through a calculator (or a computer software) where students can then analyze their findings. For this activity students will be able to see a real life scenario of the usage of the mathematical concept of Solving Systems of Liner Equations using a motion detector, calculator and themselves. In this activity, students will be able to part of the creation of data that will be used to create equations. Students will then take part in solving the system of equations using technology and on writing (mathematically). Students will be able to use this activity that ties to the following Common Core State Standards:

INQB.2 Collect, analyze and display data using calculators, computers, or other technical devices when available

APPD.2 Use computers, probes, and software when available to collect, display, and analyze data.

M3.2.H Formulate a question that can be answered by analyzing data, identify relevant data sources, create an appropriate data display, select appropriate statistical techniques to answer the question, report results, and draw and defend conclusions.

H.A.REI.1– Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

H.A.REI.2– Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

H.A.REI.5– Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

H.A.REI.6– Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

vernieractivity-wheredowemeet

Velocity Test: Interpreting Velocity Graphs HSF.IF.C.7

massed Common Core State Standards Mathematics, HS Functions, HS Modeling, Technology Teaching Issues , , ,

Figure from experiment 12 from Real-World Math with Vernier

Students are notoriously difficult for teachers to engage in a lesson. With Vernier, teachers are able to use lessons on quick notice that involve technology and student attention. With technology, students become excited about something different in the classroom and are therefore more attentive. With Vernier, there are numerous different technologies with hundreds of ideas for lessons (not exclusive to math if you are a science teacher-or if you are a math teacher wanting to introduce some science into your lesson!). The product used in this lesson is the Motion Detector, which can be acquired through https://www.vernier.com/products/sensors/motion-detectors/md-btd/. This sensor is designed to collect data from the distance between the sensor and what it is pointing at. There are Image result for speednumerous more lessons involving it, and is especially useful for any movement-based projects/lessons that a teacher plans to do.

 

This specific lesson deals with velocity. Students are assigned to record their distance and time with the Motion Detector. After they have that, they are to formulate a graph based on that data of their motion and compare/contrast that graph to the graph that the motion detector collected from their motion.

CCSS.MATH.CONTENT.HSF.IF.B.6
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

CCSS.MATH.CONTENT.HSF.IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Lesson: velocity-test-interpreting-velocity-graphs

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