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Do you have students that use partial quotients like "100 +100+ 200+ 10+ 40 +10" instead of "400 + 60"? This self grading Google Form helps students become more efficient at partial quotient long division (2 digit divisors) by training them to estimate their partial quotients as close to the dividend as possible. Once students master this skill they will reduce the number steps needed to solve partial quotient long division, thereby becoming much faster and making fewer mistakes. This will also help them to be able to transition smoothly to standard long division in 6th grade.
The form is divided into 2 sections:
Section 1= (8 problems) Finding missing factors that make the equation true (missing factor is a single digit) ex. 25 x ____= 125 (answer= 5)
Section 2= (8 problems) Finding missing factors that make the equation true (missing factor is a multiple of 10, 100, or 1000) ex) 25 x _____= 12,500 (answer = 500)
Section 3= (10 problems) Use estimation skills to find the missing factor that will get you closest to the product without going over (missing factor is a single digit X power of ten like 80 or 2,000, but not 2,100). ex) 25 x ____≈ 1,629 (answer = 60)
How I use this form:
I use this form after students have mastered the process of partial quotient division, but need to become more efficient at it. I also use this with my 5th graders to get them ready for standard division.
I send the form to my students through email or Google Classroom. Once they complete the form once, I tell them to view their score. It is set to show them the problems they missed, but not the correct answer. I have them leave this tab open, but return to the link I sent them in a different tab. When they click on the link, the option of "edit my response" will appear. They click on that and can edit in that tab. Their answers will still be there. I give them permission to look back at the graded tab so they only have to correct the ones they missed. My students repeat this process until they have 100%. Once they have made 100% I give them a long division problem and instruct them that each of their partial quotients must be in different place values, like stair steps. ( 1000 + 300 + 40 +2)
If you like this product, I have a similar product created for 1 digit divisors!