Arranging students in groups of 3, assigning the same pair of questions to each group, and-for each pair of questions-asking one group to present the solutions to the class.Assigning each student a pair of questions, arranging students who work on different pairs in groups of 3, and asking them to explain their solutions to one another.Assigning all three pairs of questions to all students.The same constraints and contexts will be used in an upcoming lesson on systems of linear inequalities in two variables.ĭecide on the structure for the activity depending on the time available and the amount of practice each student needs. The questions in this activity are written in pairs. In doing so, they engage in aspects of mathematical modeling (MP4). Use inequalities to automatically shade above or below lines and curves.
For more intricate graphs, you can also use inequalities with restrictions to shade selected parts of the graph. The Desmos Graphing Calculator considers any equation or inequality written in terms of r r and to be in polar form and will plot it as a polar curve. Use strict inequalities (\(\lt and \gt \)) for dotted lines and non-strict inequalities (\(\le and \ge \)) for a solid line. If the calculator is able to detect that a curve is periodic, its default. With inequalities, you can add colored shading to your Desmos graph. By default, polar curves are plotted for values of in the interval 0,12. Students write inequalities in two variables to represent constraints in situations, use technology to graph the solutions, interpret points in the solution regions, and use the inequalities and the graphs to answer contextual questions. The Desmos Graphing Calculator considers any equation or inequality written in terms of r r and to be in polar form and will plot it as a polar curve or region. Check out the video below for a quick demo.
Use < and > for strict inequalities (dotted line), and < or > for non-strict inequalities (solid line).This activity enables students to integrate several ideas and skills from the past few lessons. Adding colored shading to your Desmos graphs is easy with inequalities.
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