Reflection: Student Ownership Integer Product Game - Section 4: Class discussion


I came upon this lesson by accident years ago. I had intended to use it as a fun way for students to practice and provide peer feedback on their integer multiplication. As I was circulating that day and listening to my students I heard two things that caught my attention:

  • Some students were celebrating successfully 'blocking' their opponent.
  • Some were compaining that they couldn't move the paper clips to the factors they 'wanted'.

I realized that they were actually dividing and didn't know it yet and so decided to continue teaching my 'accidental' lesson with a more explicit connection to division. 

Teaching it this way emphasizes the connection between multiplication and division, which is so much more effective than teaching two sets of rules. It reinforces the reason why the rules for division are the same as multiplication. I have had past experiences in which students get all the multiplication problems right and all the division wrong. I have had students complete all the multiplication, but leave the division blank claiming they don't know how to do those.

Not only does being explicit about this relationship help students understand the reasoning behind the rules. It also gives them a huge sense of confidence, because they realize they knew more than they thought they did. One of my hopes for my students is that when they encounter an unfamiliar situation they try to apply what they know rather than give up and assume they can't do it because they haven't been taught yet.

  Why the relationship between operations is important
  Student Ownership: Why the relationship between operations is important
Loading resource...

Integer Product Game

Unit 4: Operations with Integers
Lesson 22 of 24

Objective: SWBAT understand the relationship between multiplying and dividing integers.

Big Idea: Students will learn that the rules for dividing integers are the same as for multiplying integers.

  Print Lesson
27 teachers like this lesson
Math, Number Sense and Operations, Operations and Expressions, dividing integers, dividing negative numbers, game, connecting operations, student ownership
  35 minutes
Similar Lessons
Integer Product Signs - Using Counters to Discover Signs of Products
7th Grade Math » Rational Number Operations
Big Idea: Students use integer counters to model products of positive and negative integers.
New Orleans, LA
Environment: Urban
Grant Harris
Multiplying and Dividing Integers
7th Grade Math » Operations with Rational Numbers
Big Idea: More rules?! Yes, multiplication and division have their own set of rules – and can you make a tic tack toe board to help remember them?
Elon, NC
Environment: Suburban
Heather Stephan
Multiplying and Dividing Signed Numbers
ALGEBRA /My Betterlesson Curriculum » Number Sense
Big Idea: Students revisit multiplying and dividing signed numbers analyzing patters and participating in a Relay Race
Windermere, FL
Environment: Urban
Mauricio Beltre
Something went wrong. See details for more info
Nothing to upload