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## Student Engagement with the “Into Math Graph" Tool

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

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## Discourse Actions to Promote Student Access

We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.

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## Selecting Systems of Linear Equations

Students make strategic choices–and justify them–to solve a system of two linear equations.

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## Calendar and Solutions – August 2014

A set of problems of many types.

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## Working the System

Two teachers discuss the planning and observed results of an introductory problem to help students nail a conceptual approach to solving systems of equations.

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## Successfully Transitioning to Linear Equations

A multiphase lesson on selling T-shirts guides students from single-variable equations to linear relationships.

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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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## CCSSM Challenge: Graphing Ratio and Proportion

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

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## Adding a New Dimension to Algebra

The idea of a function of several variables–important in other disciplines–can be introduced in secondary school mathematics courses.