Bouncing Into Math CCSS.MATH.5.G.A.2

Some math teachers might ask the question “how can I adapt this curriculum to relate to real world scenarios?” One way to start is by taking an interest in what your students are interested in. There’s a time for lecture and there’s a time for, well, bouncing balls and having fun. This activity features measurement of a tennis ball bouncing and when it slows down, compared to a rubber ball bouncing and when it slows down, using the Ipad app called Video Physics. You might be asking yourself now “how in the world does this relate to the real world?” Well, once this activity is performed by questioning young minds, the students will want to know more. They’ll want to use the technology and math and relate it to people and if they were to keep jumping, at what point would those bounces become smaller and slower. This is an activity to get the students up out of their seats and “perform” mathematics in the classroom.

In this activity the students will need to get into groups of at least three and have an Ipad, a worksheet, a tennis ball, and a rubber ball. Each student will have his/her own job: recorder, video-taper, and ball bouncer. Each student will get to perform each task within the groups of three. The students will collect and record data pertaining to the tennis ball and the rubber ball and how each ball’s acceleration and height of the bounces differ slightly. Prior to the students gathering data, they will draw their prediction of what each ball’s graph will look like. This will give the students more insight to how the math aligns with reality. After they complete the worksheet given during this lesson, the class can discuss their findings as well as how else they could use this technology in their day to day lives.

This assignment relates to the Common Core State Standard

CCSS.MATH.5.G.A.2 Graph points on the coordinate plane to solve real-world and mathematical problems.

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Where Do We Meet? REI

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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.

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Battleships and Mines HSG.GPE

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What better way to learn math than by playing Battleships and Mines!!!

This interactive activity will indulge your students into creating their own battleships and mines using geometry. Students will generate their battleships and mines using equations of circles that will be graph using GeoGebra. GeoGebra is a free and useful software where students can create circles with just two clicks! No more “I do not want to graph this!” With GeoGebra students will be able to fully engage in the activity while practicing the properties of the equation of a circle, without the hassle of graphing it. GeoGebra not only does it have functions that can be incorporated with algebra and calculus curriculum, but it comes at no cost to schools, teachers and students.

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