Reflection: Connection to Prior Knowledge Unit Rates with Complex Fractions - Section 2: Explore

There was a lot of fear in my district that teaching proportional reasoning first wouldn't work - that kids would not remember fractions, but this lesson could not have gone smoother.  I approached the complex fraction as a "nasty tower of numbers that we need to knock down," and my kids were up for the challenge!  Once we wrote the complex fraction as division of fractions horizontally, there were lots of "ooohs," "aahs," and "I got this" comments flying around the room.  The challenge for the kids was not in the skill work of the problem, but rather the problems like "Arthur paints 30 square feet per half hour, what is his rate in square feet per hour."  Several kids wanted to change the half hour to 30 minutes, I continually stressed that writing down units is very important and can keep you from making silly mistakes - once they wrote down their units and compared their units to what the question was asking, they realized that 30 minutes was not the correct value to use.  I think the appearance of "half" instead of 1/2 is what threw them off the most.  My lower readers try to just pull the numbers out of problems without reading the words, so I think problems like this one are good to get kids in the habit of reading and understanding what is actually taking place in the problem.

Explore Reflection
Connection to Prior Knowledge: Explore Reflection

Unit Rates with Complex Fractions

Unit 2: Proportional Reasoning
Lesson 2 of 14

Big Idea: Have you ever seen the big mac of fractions? This lesson tackles complex fractions!

Print Lesson
39 teachers like this lesson
Standards:
Subject(s):
Math, Number Sense and Operations, complex fractions, Unit Rates, 7th grade
60 minutes

Heather Stephan

Similar Lessons

Proportional Relationships With Decimals
7th Grade Math » Proportional Relationships
Big Idea: Students expand and solve ratio problems involving decimals using unit rates and a double number line.
Favorites(13)
Resources(14)
New Orleans, LA
Environment: Urban

Multiplying Fractions
7th Grade Math » Number System
Big Idea: Using multiplication of rational numbers to solve problems involving accumulating resources measured in fractional quantities.
Favorites(32)
Resources(13)
Columbus, OH
Environment: Urban

Understanding Unit Rates with Holes
7th Grade Math » Proportional Reasoning
Big Idea: Students will appreciate how finding unit rates will enable them to make decisions that would benefit them in the real world.
Favorites(13)
Resources(16)
Columbus, OH
Environment: Urban