## 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

# Problem Solving with Rational Numbers

Unit 4: Operations with Rational Numbers
Lesson 21 of 23

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

Print Lesson
9 teachers like this lesson
Standards:
Subject(s):
55 minutes

### Heather Stephan

##### Similar Lessons

###### Integers Assessment
7th Grade Math » Rational Number Operations
Big Idea: Students take a test that assesses computation of integers, integer concepts, and problem solving. A rubric and answer guide is included.
Favorites(24)
Resources(9)
New Orleans, LA
Environment: Urban

###### Multiplying and Dividing Signed Numbers
8th Grade Math » Number Sense
Big Idea: Students revisit multiplying and dividing signed numbers analyzing patters and participating in a Relay Race
Favorites(25)
Resources(19)
Orlando, FL
Environment: Urban

###### Percents Intro
7th Grade Math » Number System
Big Idea: The Big Idea of this lesson is for students to interchange fractions, decimals, and percents with fluency.
Favorites(1)
Resources(12)
Columbus, OH
Environment: Urban