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## Exploring Function Transformations Using the Common Core

Tying your teaching approach to the Common Core Standard for Geometry and Congruence will help students understand why functions behave as they do.

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## Instruction and Learning through Formative Assessments

Teachers can use rich mathematical tasks to measure students' conceptual understanding.

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## Investigating Functions with a Ferris Wheel

A computer activity helps students make sense of relationships between quantities.

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## Technology Tips: Investigating Extrema with GeoGebra

Technology can be used to manipulate mathematical objects dynamically while also facilitating and testing mathematical conjectures. We view these types of authentic mathematical explorations as closely aligned to the work of mathematicians and a valuable component of our students' educational experience. This viewpoint is supported by NCTM and the Common Core State Standards for Mathematics (CCSSM).

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## Students as Mathematics Consultants

Five problems—relating to gas mileage, the national debt, store sales, shipping costs, and fish population—require students to use functions to connect mathematics to the real world.

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## Factor and Remainder Theorems: An Appreciation

Core content provides opportunities to focus on the structure of mathematical theory, proof, and anticipation of subsequent topics.

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## Do It Right – Strategies for Implementing Technology

Mathematics teachers can use a broad range of technologies—calculators, computers, display systems, and others—as teaching and learning tools. Although actual access is influenced by budgets and demand, the important thing is to make the best use of the technology available. Whether you have one computer station for demonstration, a classroom set of graphing calculators, or a fully wired classroom, you can take steps to make your technology implementation most effective and successful.

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## Root Problems: Nonroutine Algebra Tasks

Explore three original problems, the thinking behind their formulation, how they can be solved, and related extensions.

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## Sorting Out Ideas about Function

A card-sorting task can help students extend their understanding of functions and functional relationships.