![]() ![]() Constraints on aspects of the business limit the total number of cats and dogs the business can board in a. If only one variable appears in the equation, then the line will be either vertical or horizontal. 4.5 Systems of Linear Inequalities Introduction Activity Builder by Desmos 30-45 minutes Provides an introduction to systems of linear inequalities using a 'real' concept of managing a pet boarding business. They practice adjusting the graphing window until the solution regions become visible and give useful information. Check out these activities from NGPF’s Desmos Collection. Graph It Required Materials Graphing technology Warm-up In this warm-up, students use graphing technology to graph simple linear inequalities in two variables. One Variable Inequalities / Linear Inequalities / Systems of Inequalities Number Properties (gr 8) Cool Extensions / Advanced Skills Other (gr 8) Searchable sites for Desmos Activities. This will always be the case when both variables appear in the equation. Desmos is an interactive math platform that allows students to explore concepts deeply, collaborate with their peers, and practice creative problem-solving. In all the graphs we have observed so far, the lines have been slanted. Reduce a given linear equation in two variables to the standard form y mx c calculate gradients and intercepts of the graphs and then plot them to check. 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. When given a linear inequality in slope intercept form, we first plot the y-intercept and using the slope, we can determine the rise and the run of the required line and then be able to plot. The questions in this activity are written in pairs. Copy the URL of your graph from the Desmos Graphing Calculator Paste it in any expression of your new graph in Desmos. In doing so, they engage in aspects of mathematical modeling (MP4). 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. This activity enables students to integrate several ideas and skills from the past few lessons. ![]()
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