Reflection: Developing a Conceptual Understanding Problem Solving with Rational Numbers - Section 2: Explore


The way I approached problem solving, by using whole number substitution, worked very well for my students.  They were able to more easily see the operation that they would use.  I really pushed that the kids explain to me what was going on in a problem - for example, one student could not figure out that you would divide, but was able to tell me that you would split the punch up evenly among the cups.  When I asked him what operation allows you to split up a number - he could tell me division.  Additionally, students had trouble with the problem of making 2/3 of a recipe.  I asked the students to figure that problem out however they could - with a picture, multiple steps, whatever.  Then, I had two students share their work - one that drew a picture and one that said I divided by 4 and then multiplied by three.  Then, I explained to them that that is the beauty of fractions!  By multiplying by a fraction you are essentially dividing something into groups (the fraction bar and denominator) and choosing a certain number of groups (the numerator).

  Developing a Conceptual Understanding: Explore Reflection
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Problem Solving with Rational Numbers

Unit 4: Operations with Rational Numbers
Lesson 21 of 23

Objective: Students will be able to solve real world problems involving rational numbers.

Big Idea: Fractions can be your friend! Problem solve with ease in this lesson!

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