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Inequalities Teacher Resources
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Review the differences among equations, expressions, and inequalities. Demonstrate with a scale how an equation balances out on both sides, and how an inequality has a set of solutions. Present a few real-world problems for your mathematicians to solve in pairs. Close by creating a game of word problems and then playing it as a class. This lesson was intended to teach your class the process of solving equations and inequalities by the substitution method.
Complete an algebra lesson with this video on evaluating and solving multi-step inequalities. Sal Khan completes several practice problems, explaining his process while exemplifying strong teaching skills. Each problem is different and shows variations or issues that may arise while solving inequalities.
Number lines, inequalities, graphing: sounds like fun in the making! Seventh grade math sleuths solve inequalities and represent the solutions on a number line. This is a complete and well-organized lesson that includes real-world application problems and associated activity sheets.
Looking for a resource that goes beyond just graphing inequalities? Here is one that addresses the need to have learners reason and develop a deeper understanding of the solution set of systems of inequalities. This include writing inequalities, analyzing them algebraically, analyzing them graphically, and also through the use of charts.
Taxi! Taxi! A bike taxi business seems the perfect solution for making money and getting exercise. Learners use their knowledge of representing real-word quantities with variables and constructing simple equations and inequalities to make a profit in this new business venture. The lesson also has an extension that introduces graphing and using the graphing calculator.
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples. Solve inequalities by graphing on a coordinate plane and use the information to draw conclusions about feasability.
Here is a fine lesson plan on inequalities of fractions for your third graders. After a modeling session by the teacher, pupils are put into groups and are led through a discovery session using fraction bars and inequalities. The lesson plan concludes by having learners complete a worksheet that is embedded in the plan.
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using skills to solve, they are required to creatively anlyze the problem. Three alternative solutions are given, each explained in clear detail.
The outline to a lesson on setting up and solving inequalities is provided for you in this document. Step-by-step instructions that include real-world examples will lead your class to mastering this discrete skill. Consider creating a presentation and a handout with the suggested word problems in order to make them visible for learners and provide a space for them to take notes. The practice section on the third page could be used as homework or as an assessment of understanding.
There are several steps needed to graph an inequality, Sal defines each step and expounds on the thinking behind each step in the process. He breaks down what each term represents and how they are satisfied as a point on a graph. This video exemplifies good teaching and could be an asset to both teacher and student.
Solve algebraic equations and inequalities. Work in small groups to understand and solve a number of simple algebraic equations and inequalities. Then create a PowerPoint presentation that includes the problems solved and the method used to solve each one. Each group will present their findings and methodology to the class.
Young scholars graph the system of a linear inequality defined by a polygon. In this inequalities lesson, students create a polygon that models the solution of the given problem. Young scholars write two inequalities of x and y that produce non-negative numbers. Students also sketch their prediction of the graph of the grid provided.
Challenge your young scholars' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require correction by the young scholars. This activity could function well as a long-term homework assignment or midterm.