Word problem:
Having been made aware – repeatedly – that photocopying is consistently the largest line item in the school’s budget, a teacher has nevertheless decided to make photocopies for a grade 9 English class. The activity will require only one day, so students who are absent today will not need a copy. 24 students are enrolled in the class. How many photocopies should the teacher make in order to have enough for all the students without “wasting” money?
Break down using the GRASS method.
GIVEN: Read the question carefully. Figure out what values are given.
24 students are enrolled in the class.
REQUIRED: Figure out what is required.
Enough – but not too many – photocopies for the students who attend class today.
ANALYSIS: Analyze the question and use appropriate math operations.
It’s one week before March Break and one (1) student has already left on vacation. Their parent notified you. Experience tells you that up to two (2) more students may have already left without letting anyone know.
24-1-1 = 22 OR
24-1-2 = 21
It’s the first week of Ramadan and class is at the end of the day. There are at least seven (7) Muslim students in the class. Some of them will be fasting, and some of them may be fasting for the first time in their lives. This is difficult, so some of them may go home before the end of the school day. Still, it’s only Monday, so probably most of them will try to stick it out. Estimate: one (1)
22–0= 22 OR
22–1= 21 OR
21–1= 20
The flu has been going around. Loads of students and teachers were out last week, some for up to five (5) days. Today’s list of absent teachers is long, and during period one, about a third (⅓) of the class was absent. This class was pretty healthy last week. Are they more likely to be sick this week as a result? Check the online attendance to see if anyone has already been called in sick by their parents. One student is marked absent. Estimate: at least one (1) and up to three (3) sick students.
22–1= 21 OR
22–2= 20 OR
22–3= 19 OR
21–1= 20 OR
21–2= 19 OR
21–3 = 18 OR
20–1= 19 OR
20–2= 18 OR
20–3= 17
Last week you sent emails home to several families addressing student behaviours. Of the four (4) families you contacted, two (2) replied. How many of these students will attend class today? Educated guess based on experience: three (3) will attend and one (1) will skip in frustration.
21–1= 20 OR
20–1= 19 OR
19–1= 18 OR
18–1= 17 OR
17–1= 16
Finally, students may not be able to attend due to “Acts of God”: “I missed my bus after lunch” or “I got suspended for fighting in the bathroom” or “My best friend’s boyfriend just posted on IG and another girl was in the picture so I had to stay with her because she was so upset” or “Sorry, Miss, I forgot it was a Day 1 and I went to my Day 2 class and I only realized it wasn’t my class after 25 minutes.” Estimate for today: an optimistic zero (0)
WAIT: don’t forget to add in the extra copy for the student who loses their sheet between the time you hand it out and the time they need to use it. (approximate elapsed time: 8.3 seconds)
20+1= 21 OR
19+1= 20 OR
18+1=19 OR
17+1= 18 OR
16+1= 17
SOLUTION: Solve the question.
Maximum photocopies required: 23
Minimum photocopies required: 17
Repeat these calculations for each of today’s classes.
STATEMENT: State your answer in simple words.
For today’s classes, in order not to waste money, the teacher requires somewhere between 17 and 70 kajillion photocopies.
Realize after all of this that at least three students will be gone for some or all of the class because of a volleyball game. Their coaches posted about this on the email conference three (3) minutes after you finished photocopying.
Good luck!

