(Reflection, Math) Second Chances
I never thought I’d be here—graduated from high school last June, enrolled at the community college for fall semester, and somehow becoming the most important person in Mitchell’s life. Mitchell’s twenty-three, but if you met him now, you wouldn’t know it. Special needs doesn’t really cover what’s happening to him. He’s regressing. Becoming a toddler again, complete with Pampers, formula bottles, and those little Gerber puffs he likes to snack on.
His parents asked me to help. They knew I’d been good with him back when I volunteered at the rec center, and honestly, I didn’t know what I was getting into. But Mitchell needed someone, and I guess I needed purpose beyond Intro to Psychology and English Comp.
So I created a preschool regimen for him. Sounds weird, I know. But it’s what he needed. Every weekday, 9 AM to noon, we do preschool activities. ABC songs, counting blocks, coloring inside the lines, story time with picture books. He sits in his booster seat at his little table, wearing his Paw Patrol shirt and a fresh diaper, and we work through the day. He’s been following it pretty well—some days better than others. He gets frustrated when the shapes don’t fit right in the puzzle, or when his hands can’t hold the crayon the way they used to.
But here’s the thing that’s been eating at me for weeks: I don’t think he’s ready to move forward. I think Mitchell should repeat grade school—like, start from kindergarten when he’s ready. It’s just my opinion, not official or anything, but watching him struggle through basic preschool tasks, I can’t see how he’d handle anything more advanced. And I have no idea how to tell him.
The thought keeps me up at night. How do you tell someone they need to go backward to go forward? How do you say that without crushing whatever dignity they have left?
The next day, I pick Mitchell up from his house like always. His mom answers the door, gives me that tired smile she always has now, and tells me he’s upstairs in his room. I head up, my stomach in knots.
Mitchell’s sitting on his bedroom floor in a onesie, playing with wooden blocks. There’s a half-empty bottle of formula on his nightstand. He looks up when I come in, and his face lights up.
“Hi,” he says, his voice soft and small.
“Hey, buddy.” I sit down on the floor across from him. My heart’s pounding. “Can we talk for a minute?”
He nods, still stacking blocks.
I take a breath. “So, Mitchell, you’ve been doing really good with preschool stuff. I’m proud of you, man. But I’ve been thinking about what comes next, and I wanted to share something with you. It’s just my opinion, okay? Not a rule or anything.”
He stops stacking and looks at me, those wide eyes waiting.
“I think… based on how preschool’s been going, I think when you’re ready, you might benefit from repeating grade school. Like, starting from the beginning. Kindergarten, first grade, all of it.” The words feel heavy coming out. “I know that might sound—”
“I want to focus on completing preschool first,” Mitchell interrupts, his voice clearer than I’ve heard it in weeks. “Then decide.”
I blink. I wasn’t expecting that.
“You… yeah?”
He nods, serious. “Preschool first. Then we talk about it.”
And just like that, the weight lifts. He’s not upset. He’s not crushed. He’s just… taking it one step at a time. Smarter than I gave him credit for, even now.
“Okay,” I say, smiling. “Preschool first. Deal.”
He goes back to his blocks, and I sit there on his bedroom floor, realizing that maybe I’m not just mentoring Mitchell. Maybe he’s teaching me something too.
One day at a time. One block at a time.
That’s all any of us can do.
Essay Assignment: What’s Best for Mitchell?
What You’re Writing
How long: At least 1,500 words
What it is: A proposal about Mitchell’s education and what should happen next
The situation: You’re Mitchell’s caretaker and mentor. You’ve been running a preschool program for him at home because Mitchell has special needs and has been regressing—he’s now functioning like a toddler. He needs Pampers, drinks formula, eats Gerber foods, and needs help with pretty much everything. You’ve been working with him on preschool stuff for a while now, and you need to decide: should Mitchell eventually go through grade school again (like kindergarten through elementary), or is that not the right move for him?
You’re writing this for his parents, doctors, and anyone else helping make decisions about his care.
What You Know About Mitchell
His daily life:
Functions at a toddler level (like a 2-3 year old)
Wears diapers, drinks from bottles, eats baby food
Needs someone watching him all the time
Does preschool activities with you every weekday morning (9-12)
Works on ABCs, counting, coloring, puzzles, story time, basic skills
His preschool performance (you can add details based on what you imagine):
How well does he pay attention?
Can he follow directions?
Does he get frustrated easily?
Is he getting better at holding crayons, stacking blocks, etc.?
Does he remember things you taught him yesterday? Last week?
How does he communicate?
Is he making progress, staying the same, or struggling more?
His trauma history (you’ll need to create this background):
What happened to him that caused this regression?
When did things start changing?
What have people tried to help him before?
Is he in therapy? Taking medication?
What do his doctors say?
How is his family handling this?
What Your Essay Needs to Include
1. Introduction (200-250 words)
Explain who you are and how you know Mitchell
Give a quick overview of what’s going on with him
Say clearly whether you think he SHOULD or SHOULD NOT repeat grade school
Give a preview of why you think that
2. Background (300-400 words)
Tell Mitchell’s story—what happened to him?
Explain how he went from where he was to where he is now
Describe the preschool program you created for him
Talk about how he’s been doing in preschool
Share any important medical or therapy information
3. Your Main Argument (600-700 words)
If you think he SHOULD repeat grade school:
Why would a school setting help Mitchell?
What have you seen in preschool that makes you think he could handle it?
What good things could come from being in a classroom?
How might school help him heal from his trauma?
Would being around other kids help him?
What are your long-term hopes for Mitchell, and how does school fit in?
What about the concerns people might have—how would you respond?
If you think he SHOULD NOT repeat grade school:
Why wouldn’t school be right for Mitchell?
What have you seen in preschool that makes you think he needs something different?
What could go wrong if he’s in a traditional school?
What else could he do instead that might work better?
Based on what happened to him, why might school be too much?
How might school hurt him emotionally?
What would you suggest instead?
4. What Mitchell Wants (200-250 words)
Remember, Mitchell told you: “I want to focus on completing preschool first, then decide”
What does that tell you about what he wants?
How much say should Mitchell have in this decision?
How do you balance taking care of him with respecting his choices?
What’s the right thing to do here?
5. Your Plan (200-250 words)
What are the actual steps you’re proposing?
When would things happen?
What would you need (teachers, supplies, money, etc.)?
How would you know if it’s working?
What if your plan doesn’t work—what’s Plan B?
6. Wrap It Up (150-200 words)
Restate your position and main reasons
Remind everyone that Mitchell’s wellbeing comes first
What do you want the decision-makers to do?
End with some hope about Mitchell’s future
How to Write This
Your voice:
Write like you’re talking to people who care about Mitchell
Be professional but also show you care
Use “I” since you’re his caretaker
Be real about the hard parts
Always treat Mitchell with respect and dignity
Back up what you say:
Give specific examples from working with Mitchell
Talk about what you’ve learned about trauma and development
Use your actual observations from spending time with him
Be honest about both the good days and the hard days
Stay organized:
Each paragraph should have one main idea
Make sure your ideas flow logically
Use transitions so it’s easy to follow
Keep your argument consistent throughout
Think deeply:
This is complicated—show that you get that
Address what people who disagree might say
Admit what you don’t know
Show you really understand trauma and how people develop
How You’ll Be Graded
Clear position (10%): Do we know exactly what you think should happen?
Deep thinking (25%): Did you really dig into this situation?
Good examples (20%): Do you back up what you say with real stuff?
Focus on Mitchell (20%): Is everything about what’s best for him?
Realistic plan (15%): Could your proposal actually work?
Good writing (10%): Is it organized, clear, and well-written?
Questions to Think About First
What does success look like for Mitchell?
How do you balance helping him heal with helping him learn?
How does trauma affect whether someone’s ready for school?
How do you measure progress when someone’s going backward?
Is it okay to make big decisions for another person? When?
Can schools be changed to fit someone’s unique needs?
What’s the connection between emotional healing and learning?
How to Turn It In
At least 1,500 words (not counting the title)
Double-spaced, size 12 font, Times New Roman
Give it a title that shows your position
If you use outside sources, cite them (but mostly use your observations)
Proofread it carefully
Important: This isn’t just a school assignment. You’re writing about a real person’s life. Everything you write should show that you care about Mitchell, that you’ve thought hard about this, and that you want what’s truly best for him. Whether you say yes or no to grade school, make sure your heart is in the right place.
Mitchell is depending on you to get this right.
Math Word Problems: Caring for Mitchell
Instructions
Solve each word problem showing all your work. These problems involve you as Mitchell’s caretaker managing his daily needs and activities as he progresses through his toddler development program.
Problems 1-10: Basic Care and Supplies
Problem 1:
You’re planning Mitchell’s formula needs for the week. Mitchell drinks 4 bottles per day, and each bottle requires 6 ounces of formula. A canister of formula contains 144 ounces and costs $28. If you need to buy enough formula for 3 weeks, how many canisters do you need to purchase, and what will be the total cost?
Problem 2:
Mitchell goes through diapers at different rates depending on his activity level. On active days, he needs 8 diapers. On quiet days, he needs 6 diapers. In a two-week period, he has 9 active days and 5 quiet days. Diapers come in boxes of 32 and cost $15.50 per box. How many boxes do you need, and what’s the total cost? If you have a coupon for $3 off each box, what’s your final cost?
Problem 3:
You’re organizing Mitchell’s preschool schedule. Each preschool session lasts 3 hours. You spend 25% of the time on letter recognition, 30% on counting and numbers, 20% on coloring and fine motor skills, 15% on story time, and the remaining time on snack and transitions. How many minutes does Mitchell spend on each activity during one session?
Problem 4:
Mitchell eats Gerber baby food throughout the day. He has 3 containers of fruit (each 4 ounces), 2 containers of vegetables (each 4 ounces), and 1 container of meat (6 ounces) daily. Baby food costs $1.25 per 4-ounce container and $2.00 per 6-ounce container. What is the cost to feed Mitchell for 10 days?
Problem 5:
You’re tracking Mitchell’s progress with shape puzzles. In week 1, he completed 3 puzzles with an average of 12 pieces each. In week 2, he completed 5 puzzles with an average of 15 pieces each. In week 3, he completed 4 puzzles with an average of 18 pieces each. What is the total number of puzzle pieces Mitchell has worked with, and what is the average number of pieces per puzzle across all three weeks?
Problem 6:
Mitchell’s preschool program runs 5 days per week. You’ve created activity bins that cost different amounts: sensory bins ($12 each), art supply bins ($8 each), and learning toy bins ($15 each). You want to have 4 sensory bins, 6 art supply bins, and 5 learning toy bins. If you have a budget of $200, how much money will you have left over after purchasing all the bins?
Problem 7:
You’re measuring Mitchell’s liquid intake to ensure proper hydration. He drinks 4 bottles of formula (6 ounces each) and 3 sippy cups of water (5 ounces each) per day. His doctor recommends he consume at least 40 ounces of liquid daily. How many ounces does Mitchell currently consume? If he’s below the recommendation, how many additional ounces does he need, and how many more sippy cups of water (5 ounces each) would that require?
Problem 8:
Mitchell’s therapy team recommends different types of activities throughout the week. Physical therapy exercises should total 150 minutes per week, occupational therapy activities should total 120 minutes per week, and speech therapy practice should total 90 minutes per week. You spread these evenly across 5 days. How many total minutes of therapy does Mitchell do each day? If each therapy session must be broken into 15-minute intervals with 5-minute breaks between them, how many total minutes (including breaks) does therapy take each day?
Problem 9:
You’re buying clothing for Mitchell as he goes through different sizes during his regression. You need 8 onesies at $7 each, 12 pairs of soft pants at $9 each, 6 sleep sacks at $14 each, and 10 pairs of socks at $5 per pair. You have a 15% off coupon for your entire purchase. What is the total cost before the discount, and what is the final cost after applying the coupon?
Problem 10:
Mitchell’s preschool program uses reward stickers. He earns 1 sticker for completing an activity without frustration, 2 stickers for trying something new, and 3 stickers for helping clean up. In one week (5 days), he completes 4 activities without frustration per day, tries 2 new things per day, and helps clean up once per day. Sticker sheets contain 48 stickers and cost $3 each. How many stickers does Mitchell earn in one week? How many sticker sheets do you need to buy for a 6-week period?
Problems 11-20: Developmental Progress and Scheduling
Problem 11:
You’re tracking Mitchell’s attention span improvement. In month 1, he could focus on an activity for an average of 8 minutes. In month 2, his focus increased by 25%. In month 3, his focus increased by another 20% from month 2. What is his average focus time in month 3? If a complete preschool activity requires 18 minutes, what percentage of the activity can he now complete in one focused session?
Problem 12:
Mitchell’s daily routine includes multiple diaper changes. You change him when he wakes up, after breakfast (1.5 hours later), before preschool (2 hours after breakfast), after lunch (3 hours after preschool starts), after afternoon nap (2.5 hours after lunch), before dinner (2 hours after nap), and before bed (3 hours after dinner). If he wakes up at 7:00 AM, at what time is each diaper change, and how many total hours pass from first to last change?
Problem 13:
You’re budgeting for Mitchell’s sensory play materials. Kinetic sand costs $8 per pound, play dough costs $4 per container, finger paint costs $6 per set, and water beads cost $10 per package. You want to create 5 different sensory stations, each using 2 pounds of kinetic sand, 3 containers of play dough, 1 set of finger paint, and 1 package of water beads. What is the total cost? If you can only spend $250, how many complete sensory stations can you create?
Problem 14:
Mitchell’s formula needs to be prepared at specific temperatures. The formula powder requires water heated to 180°F, then cooled to 98°F before feeding. Water heats at a rate of 15°F per minute in the bottle warmer and cools at a rate of 8°F per minute at room temperature. If water starts at 70°F, how many minutes does it take to heat to the correct temperature? How many additional minutes to cool to feeding temperature? What is the total preparation time?
Problem 15:
You’re organizing a toy rotation system for Mitchell. You have 72 toys total and want to divide them into 6 equal rotation bins. Each week, Mitchell has access to one bin. Within each bin, you categorize toys as: 40% educational, 30% sensory, 20% creative, and 10% comfort items. How many toys are in each bin? How many of each category are in one bin?
Problem 16:
Mitchell’s preschool curriculum includes reading picture books. You read to him twice daily: once during morning preschool (15 minutes) and once before bed (20 minutes). Each book takes an average of 7 minutes to read. How many books do you read to Mitchell in one day? In a 4-week period (28 days), how many total books will you have read? If you have a library of 84 books and don’t want to repeat any book during this period, will you have enough?
Problem 17:
You’re calculating the cost of Mitchell’s weekly activities outside the home. Parent-toddler swim class costs $18 per session (once weekly), music class costs $15 per session (twice weekly), and sensory gym time costs $12 per session (once weekly). You also spend an average of $8 on snacks and drinks during these outings each week. What is the total weekly cost? If you budget $300 per month for these activities, will you stay within budget? (Assume 4 weeks per month)
Problem 18:
Mitchell’s sleep schedule has been improving. He now naps once per day for 2.5 hours and sleeps at night for 11 hours. His doctor recommends toddlers get 13-14 hours of total sleep per day. How many hours does Mitchell currently sleep? Is he within the recommended range? If he needs to reach exactly 13.5 hours, how many additional minutes of sleep does he need, and should you add this to his nap or nighttime sleep?
Problem 19:
You’re preparing Mitchell’s meals for a week. Breakfast requires 1 container of fruit and 1 bottle of formula. Morning snack requires 1 container of yogurt. Lunch requires 1 container of vegetables, 1 container of protein, and 1 bottle of formula. Afternoon snack requires 1 container of fruit. Dinner requires 1 container of vegetables, 1 container of protein, and 1 bottle of formula. Bedtime includes 1 bottle of formula. If fruit containers cost $1.25, vegetable containers cost $1.50, protein containers cost $2.00, yogurt containers cost $1.00, and formula costs $0.75 per bottle, what is the daily food cost? What is the cost for a 7-day week?
Problem 20:
Mitchell earns “big boy” privileges based on his behavior. For every 5 stickers earned, he gets 10 minutes of extra playtime with his favorite toy. For every 15 stickers, he gets to choose the bedtime story. For every 25 stickers, he gets a special outing. In a month, Mitchell earns 118 stickers. How many extra playtime sessions does he earn? How many story choices? How many special outings? How many stickers does he have remaining?
Problems 21-30: Advanced Care Planning and Progress Tracking
Problem 21:
You’re analyzing Mitchell’s developmental regression timeline. Six months ago, he was functioning at a 12-year-old level. Each month, his functional age decreased by 18 months. What functional age is he at now? If the regression continues at this rate for 3 more months, what functional age will he reach? (Express your answer in years and months)
Problem 22:
Mitchell’s therapy schedule requires careful coordination. Physical therapy sessions are 45 minutes each, twice per week. Occupational therapy sessions are 50 minutes each, twice per week. Speech therapy sessions are 30 minutes each, three times per week. Each session requires 15 minutes of travel time each way. How many total hours per week (including travel) are dedicated to therapy? If you’re awake 16 hours per day, what percentage of your weekly waking hours are spent on Mitchell’s therapy?
Problem 23:
You’re creating a reward system using different colored tokens. Blue tokens are worth 1 point, green tokens are worth 3 points, and gold tokens are worth 5 points. Mitchell earns blue tokens for basic tasks, green tokens for challenging tasks, and gold tokens for major breakthroughs. In one week, he earns 12 blue tokens, 8 green tokens, and 3 gold tokens. He can exchange points for rewards: 20 points = extra story, 35 points = special snack, 50 points = park visit. How many total points does he have? Which rewards can he afford? If he chooses the park visit, how many points remain?
Problem 24:
Mitchell’s medication schedule requires precise timing. He takes medication A every 8 hours, medication B every 6 hours, and medication C every 12 hours. If you give him all three medications at 8:00 AM, at what times during the next 24 hours will he need to take each medication? At what times will he need to take multiple medications at once?
Problem 25:
You’re budgeting for Mitchell’s care over the next 6 months. Monthly costs include: diapers ($93), formula ($168), food ($210), clothing ($45), therapy copays ($120), activities ($72), and supplies ($55). You receive $600 per month in assistance. What is the total monthly cost of Mitchell’s care? What is the 6-month total? How much do you need to cover out-of-pocket each month after assistance? How much total out-of-pocket for 6 months?
Problem 26:
Mitchell’s preschool curriculum is divided into developmental domains. You spend 35% of time on cognitive skills, 25% on motor skills, 20% on language skills, 15% on social-emotional skills, and 5% on self-help skills. In a 12-week program with 3 hours of preschool per day, 5 days per week, how many total hours are spent on each developmental domain?
Problem 27:
You’re tracking Mitchell’s progress with counting. In week 1, he could count to 5 correctly 40% of the time. Each week, his accuracy improves by 12 percentage points. In which week will he reach 90% accuracy or higher? If you test him 8 times per day, how many successful counting attempts will he have in that week?
Problem 28:
Mitchell’s laundry needs have increased significantly. You wash his clothes every 3 days, his bedding every 5 days, and his towels every 4 days. Each load of clothes takes 45 minutes to wash and 60 minutes to dry. Each load of bedding takes 55 minutes to wash and 75 minutes to dry. Each load of towels takes 50 minutes to wash and 70 minutes to dry. Over a 30-day period, how many loads of each type will you wash? What is the total time spent on washing and drying all laundry?
Problem 29:
You’re planning Mitchell’s transition from formula to whole milk. Currently, he drinks 24 ounces of formula daily. The transition plan requires reducing formula by 3 ounces every 4 days while adding the same amount of whole milk. How many days will the complete transition take? On day 10 of the transition, how many ounces of formula and how many ounces of milk will he drink? If formula costs $0.75 per ounce and whole milk costs $0.15 per ounce, how much money will you save per day once the transition is complete?
Problem 30:
You’re evaluating Mitchell’s overall progress using a point system. He started the program with a baseline score of 45 points across all developmental areas. Each month, his scores have increased as follows: Month 1 (+8 points), Month 2 (+12 points), Month 3 (+15 points), Month 4 (+18 points), Month 5 (+14 points). His goal score is 150 points. What is his current score after 5 months? How many more points does he need to reach his goal? If his progress continues at the average monthly rate of increase from months 1-5, how many more months until he reaches his goal? (Round up to the nearest whole month)
Answer Key Instructions
Show all work for each problem including:
Setting up equations
Step-by-step calculations
Clear labeling of units
Final answers in complete sentences
Remember: These problems reflect real caregiving scenarios. Accuracy matters because Mitchell’s wellbeing depends on proper planning and resource management.