This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.

The emphasis in this task is on the progression of equations, from two that involve different values of the sales tax, to one that involves the sales tax as a parameter. It is designed to foster the habit of looking for regularity in solution procedures, so that students don't approach every equation as a new problem but learn to notice familiar types.

Open Middle provides math problems that have a closed beginning, a closed end, and an open middle. This means that there are multiple ways to approach and ultimately solve the problems. Open middle problems generally require a higher Depth of Knowledge than most problems that assess procedural and conceptual understanding.

Open Middle provides math problems that have a closed beginning, a closed end, and an open middle. This means that there are multiple ways to approach and ultimately solve the problems. Open middle problems generally require a higher Depth of Knowledge than most problems that assess procedural and conceptual understanding.

This lesson is for a math classroom, but can be adapted to fit any grade, subject, or content.  In this lesson, students will use an iPad and its features: Keynote, Pages, Garageband, Numbers, Presentation, and iMovie.  Students will use 3 of those features/programs to create a video lesson consisting of several examples from a topic of their choice.  This project is in place of a term final, so their chosen topic should be from their current term.Image citation: The image is one I created.  

Thumbnail photo:  "File:Nuvola Math and Inf.svg" by Vojtěch Pikal is marked with CC0 1.0  This is a lesson plan that can be used in any class and for any subject.  The idea is to have the students review the content learned over the term, pick one of the concepts, and create a mini video lesson on the chosen concept.  This is a project in place of a term final, but can be used at any time!I have tagged only a few math standards because this lesson applies to all content and all standards.

Multiple sets of visual patterns that follow a variety of patterns such as linear, exponential, quadratic, etc. Can be used to have students figure out what the next set of shapes will look like, write equations to describe the pattern, and predict how many shapes will be the 43rd set or beyond.