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• Author or Editor: Wayne Nirode
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## Sound Off! Don't Sacrifice Geometry on the Common Core Altar

Although high school geometry could be a meaningful course in exploring, reasoning, proving, and communicating, it often lacks authentic proof and has become just another course in algebra. This article examines why geometry is important to learn and provides an outline of what that learning experience should be.

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## Triangles from Three Points

Using technology to solve triangle construction problems, students apply their knowledge of points of concurrency, coordinate geometry, and transformational geometry.

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## Thinking Deeply about Area and Perimeter

Using a 6-inch-square sheet of paper and a simple rule for creating a polygon, students can explore interesting area and perimeter problems.

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Students create rules to form new quadrilaterals from existing ones, use dynamic geometry software to construct and make conjectures about these, and attempt to prove their conjectures.

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## Exploring New Geometric Worlds

Familiar sets of points defined by distances appear as unexpected shapes in larger-distance geometry.

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## Proofs without Words in Geometry

Pictures and diagrams help high school geometry students develop reasoning and proof-writing skills.

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## Collecting Simulation Data with Google Forms

During their work with statistics, students should be able to compare two treatments from a randomized experiment and use a simulation to determine statistical significance informally (CCSSI 2010a; CCSSI 2010b; Franklin et al. 2007). To achieve these goals, I developed a method to collect student data in my classroom from hands-on simulations. The advantage of hands-on simulations over using formulas is that students can develop a conceptual understanding of statistical significance when they see the variation that occurs from sample to sample as the results of the experiment are rerandomized each time the simulation runs. I first explain a specific classroom experiment and the hands-on simulation. I then describe how to use Google Forms and Google Sheets to convert the simulation data that students submit using their cell phones into a single column of data that can then be displayed as a dot plot.

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