The main objective of the lesson is for students to understand what are “linear equations and inequalities in one variable, including equations with coefficients represented by letters” (Engage NY, 2014). In other words, they need to grasp how the linear inequalities appear in a general way, how they can be distinguished from other forms of equations. For instance, in a linear inequality with x variable, the equation forms can be a+b*x<0, a*x+b>0, a*x+b≤0, and a*x+b≥0, where “a” and “b” may be any real numbers. The variable can be designated not only by the letter x but by any other letter as well.
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The main resources for the lesson include instructional materials (handouts, slides, and other visuals) and practice problem worksheets of different complexity to achieve differentiation and inclusion of students with learning disabilities and ELLs. Different types of practice problems will be delivered to promote better understanding (through diversification, teacher supervision, and supportive materials) (Engage NY, 2014). Also, the students will be provided with educational videos such as “Equations with Variables on Both Sides”, “One-Step Equations with Multiplication” and another to support learning comprehension.
The lesson will begin with brainstorming to warm up the students. It will also allow understanding what students remember about previous topics on creating equations (approximately two minutes). Then the educational information will be delivered, and sample equations will be discussed together with the group; the complexity will be increased gradually (approximately six minutes). Then, the students will be given three minutes to complete an exercise, and it will be followed by a group discussion of the answers (two minutes). The lesson will finish with a reflection and a summary of the key points (two minutes).
Engage NY. (2014). Algebra I module 1, topic C, lesson 11. Web.