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## Activities for Students: Soap and Slope: Mathematical Adventures in Fluid Dynamics

The mathematical concept of slope can be made real through a set of simple, inexpensive, and safe experiments that can be conducted in the classroom or at home. The experiments help connect the idea of slope with physical phenomena related to surface tension. In the experiments, changes in surface tension across the surface of the water, which correspond to greater slopes on the graph, lead to increased motion of the fluid. The mathematical content, targeted to middle school and high school students, can be used in a classroom or workshop setting and can be tailored to a single session of thirty to ninety minutes.

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## Algebraic Activities Aid Discovery Lessons

Three graphing activities lead students to discover the shapes and properties of the graphs for linear, quadratic, and absolute value functions and inequalities.

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## Calendars and Solutions: December 2013 and January 2014

A set of problems of many types.

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## CCSSM Challenge: Graphing Ratio and Proportion

A Cherry Syrup problem can build links between ratio and graphing.

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## Palette of Problems – December 2013 / January 2014

A monthly set of problems is aimed at a variety of ability levels.

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## Connecting Algebra to Economics

Economics can be an avenue for teaching such algebra concepts as graphing curves, writing linear equations, solving systems of equations, and shifting graphs.

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## Connecting Slope, Steepness, and Angles

Students must be able to relate many representations of slope to form an integrated understanding of the concept.

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## Cracking Codes and Launching Rockets

This historically significant real-life application of a cryptographic coding technique, which incorporates first-year algebra and geometry, makes mathematics come alive in the classroom.

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## From the Editorial Panel: Beginning Algebra: Teaching Key Concepts

Beginning Algebra: Teaching Key Concepts

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## Problems before Procedures: Systems of Equations

Students today come to first-year algebra with considerable prior experience and a wide range of skills. Teachers need to modify their instructional strategies accordingly.