Reflection: Diverse Entry Points Quotients of Monomials - Section 1: Warm up and Homework Review


This warm up highlights an extremely important strategy for increasing both number sense and conceptual understanding in students.  When students are trained to test real numbers into an algebraic identity, it helps them “prove” the identity's accuracy.  It also helps them associate the algebra back to the computational mathematics that they are comfortable with.  This is an excellent scaffolding method for dealing with student misunderstanding in any sort of algebraic situation. 

I would say 20% of my students missed this problem, like in Warm Up 1.  They got stuck on the subtraction and forgot their order of operations.  Most students submitted something like Warm Up 2.  The conversation that we had after the students solved this problem was really good.  I’d say almost all of the students caught on quickly when they heard their peer’s explanations (Math Practice 3).  

  Diverse Entry Points: Number Sense in Algebra 2
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Quotients of Monomials

Unit 7: Rational Functions
Lesson 1 of 15

Objective: Students will be able simplify quotients of monomials.

Big Idea: Investigate the concepts behind, as well as the numerical limitations of, the simplest form of a rational expression.

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Math, laws of exponents (algebraic expressions), Algebra, Algebra 1, Algebra 2, master teacher project, Quotients of monomials
  47 minutes
image quotients of monomials
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