Rational Expressions A.APR.D and A.REI.A

This learning progression is for an Algebra II class. The vast majority of the students are juniors but there are students of all grade levels. The lessons most generally use worksheets from Kuta Software to help facilitate the learning of the students; however, the class does have the Holt McDougal, Common Core Edition from 2012 that they use every now and again as the math department usually collaborates and creates their lesson plans with math tasks and activities to help engage the students. For this learning progression the students will be learning how to simplify rational expressions, multiply and divide rational expression, add and subtract rational expressions, solve rational equations, and solve radical equations. The standards that are applied to this unit plan are:

  • MATH.CONTENT.HSA.APR.D.6

Rewrite simple rational expressions in different forms

  • MATH.CONTENT.HSA.REI.A.2

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise

The Mathematical Practice Standards that are applied to this unit are as follows:

  • MATH.PRACTICE.MP1: Make sense of problems and persevere in solving them
  • MATH.PRACTICE.MP3: Construct viable arguments and critique the reasoning of others.
  • MATH.PRACTICE.MP6: Attend to precision.
  • MATH.PRACTICE.MP7: Look for and make use of structure.

A teaching strategy that will be used during this learning progression is group work and collaboration. Students will be able to work in groups in order to work in groups of three or four. In a classroom set up such as this, the teacher will be able to facilitate to more students throughout the class period and guide the lesson rather than use direct instruction. The teacher will continuously monitor the students and listen in on the group conversations to hear where the students tend to be struggling and to answer questions that the students might have. The only thing that the students will be doing separately will be the five-minute exit slip at the end of class; these will not be used every class period as students might be doing an engaging activity or they may be having a lot of group conversation which I will be able to listen in on an gauge the students’ understanding.

To view the full edTPA Learning Progression please view it here.

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