Week 4 · Days 13–16

Championship + Exhibition

Students become the experts — they teach the math to the room
Math focus: Mathematical modeling, prediction vs. reality across the full arc, scouting report synthesis, verbal explanation of reasoning to an external audience
Competition: Season 2 matches Days 13–15 · Community Exhibition Day 16
Key events: Stat Auction (Day 14) · Prediction Market resolution (Day 15) · Best Teacher Vote (Day 16)
Week 4 at a Glance

Good Enough

"If students explain one calculation clearly, compare prediction to actual, and teach one visitor using a specific number, Week 4 worked."

Week 4 Fatigue

By Week 4, students may be proud and tired. Slow down. Reduce unnecessary correction. Protect pauses.

Energy Register

Proud · Expert · Generous

Students teach others. They present to judges. The arc ends with them as the authority. Your job is to set the stage and get out of the way — the room belongs to the students this week.

Your Exhibition Role

During the Community Exhibition, redirect visitors to the students — not to yourself. If a visitor asks you a question, say: "Ask them — they know this system better than I do." If a student freezes, give them a beat before stepping in. A brief redirect is fine; taking over the explanation is not.

Do not take over. But do manage flow, redistribute visitors, notice frozen students, reset crowded stations, and help students restart. The Best Teacher vote goes to the student who taught most clearly, not the student whose bot won.

Prediction Market Resolution — Day 15

The prediction cards posted on Day 13 are resolved at the close of Day 15's final matches. Read each team's public prediction aloud against their actual Season 2 record. Missing the prediction does not mean the team failed. It means the model missed something. Find what it missed. Acknowledge the gap, then go straight to data.

Awards Ceremony — Day 16

Structure: Championship winner, Best Teacher winner, one specific math moment per team, one student reflection sentence, close. No long speeches. Best Teacher is determined by visitor vote — the facilitator does not choose it. The specificity is the award.

Day-by-Day Guide
13
Your Win Equation + Season 2 Begins
Monday, Week 4
  • Hook
    The Prediction Market
    Each team writes their Season 2 win total prediction on an index card: "We will win [X] of [Y] matches." Post it publicly — everyone sees every team's prediction. Cards stay on the wall through Day 15, when the actual results are read against them.
    20 min
  • Challenge
    Building and Solving Linear Equations
    Three parts. Keep them separate — do not read this block as a wall of text during class.

    Part 1 — Build the equation: Using Season 1 and early Season 2 data, teams choose two past match data points, calculate slope (rate of change) and y-intercept, and write in slope-intercept form. Student-generated, not formula-imposed. Physical reset: Equation Relay Race (6 min) — each team member solves one step on the board, tags the next person.

    Part 2 — Test residuals: Plug two past matches into the equation. Calculate predicted minus actual for each. No two teams will have the same equation — that is the point, not a problem to fix.

    Part 3 — Report unit rate: Calculate wins per Speed point. Report two residuals and the unit rate to the class.
    50 min
  • Snack/Lunch
    Snack (Crosstown) / Lunch (NYC)
    20 min snack at Crosstown (8:00–12:00). 60 min lunch at NYC sites (10:00–3:00).
    20 / 60 min
  • Build
    Season 2 Match Day 1
    First matches under Commissioner-approved rules and three ball modes. Match 1: Standard Mode (tennis ball). Match 2: Chaos Mode (ping pong ball — light, fast, unpredictable bounce, rewards high Turning). Match 3: Heavy Touch Mode (foam ball — slower roll, rewards higher Power). Before each match, teams log their equation-based prediction and circle the ball mode. After each match, record actual and residual. Loss-recovery for every losing team. After both teams update the dashboard: either run a second data debrief comparing today's residuals to Season 1, or send the bot to Skills Arena to attempt a Skills Card using today's ball mode. Completed Skills Cards with a prediction–actual sentence earn a Skill Badge on the wall.
    90 min
  • Open Lab
    Residual Analysis or Bot Calibration
    Track A (Data Dive): Look at the two residuals and wins-per-Speed-point unit rate from the morning. Look at Season 2 prediction vs. actual so far. Write one sentence: is the model's error getting smaller or larger? What does that say about what the model is missing? Track B (Bot Lab — Skills Arena): Pick one ball mode not seen in today's matches. Choose a posted Skills Card. Record which ball mode, predicted outcome using a stat or equation number, and what actually happened. Any behavior the equation didn't predict is residual data.
    35 min
  • ENDS
    Goal Setting
    Write one personal goal and one team goal for Season 2 Week. The personal goal must name one mathematical concept the student will be able to explain clearly to a visitor on Day 16. Post on the wall. Three minutes.
    10 min
Each team's equation is different — that's structural, not a problem to fix

When teams share their equations and they don't match, students often look for who got it "right." Redirect that immediately: "Your equation is built from your match data. Their equation is built from theirs. Two different models of the same system. That's how modeling works — not one right answer, many defensible models." This is the most important framing of Week 4.

Learning Objectives

LO 4.1: slope-intercept equation from two match data points · LO 4.2: pre-match prediction logged before match begins, actual recorded after · LO 6.2: three-form representation — stat number, equation, MakeCode block

14
Season 2: Percent Change and the Model vs. the Match
Tuesday, Week 4
  • Hook
    Stat Auction + Prediction Check
    25-minute competitive stat bidding, then a 5-minute prediction check — the longest Hook in the program, and it earns the time. Each team starts with 3 math tokens. Earn additional tokens by answering formula questions on the whiteboard (one question per team in rotation, one token per correct answer, all four formula types). After two rounds of earning (~8 min), the auction opens. Stat improvements are available in one-point increments. To bid, a team states their token offer and must immediately calculate the formula output for the new stat value out loud: "We bid 2 tokens for Speed plus 1. New motor power = 8 × 100 ÷ 20 = 40%." Incorrect formula output means tokens are forfeited — the point goes to the next bidder. Valid bids win the stat point permanently for Season 2. The 25-minute window is not optional: short auctions produce one or two transactions and feel perfunctory. A full 25 minutes produces at least four to six bidding rounds per team. After the auction closes, any team adjusting their win prediction must cite one data point from the dashboard. Write the justification on the card — it stays public through Friday.
    30 min
  • Challenge
    Percent Change + Ball Choice
    Using Season 1 and Season 2 allocations, teams calculate percent change for each stat: (new − old) ÷ old × 100. Compare results as a room. Then the harder question: is percent change proportional? If Speed went up 50%, will wins go up 50%? The answer depends on which stat changed and how the bot formula works — the afternoon matches are the test. Finally, teams choose which ball mode their Season 2 build should favor. Using percent-change results, write one sentence: "Because our stat changed by [X], we expect to perform best in Standard/Speed/Heavy Touch/Endurance games." This prediction will be tested in Skills Arena and matches this afternoon.
    50 min
  • Snack/Lunch
    Snack (Crosstown) / Lunch (NYC)
    20 min snack at Crosstown (8:00–12:00). 60 min lunch at NYC sites (10:00–3:00).
    20 / 60 min
  • Build
    Season 2 Match Day 2
    Three matches. Before each: log the equation-based prediction. After each: record the actual. For any match where prediction and actual differ by more than 20%, write one sentence identifying the missing variable. Loss-recovery for every losing team. Dashboard fully updated before end of session.
    90 min
  • Open Lab
    Equation Revision or Loadout Experiments
    Track A (Data Dive): Look at residuals from the last two match days. If the model's error has increased since Season 1, identify one variable to add. Write the revised equation as a hypothesis entry in the dashboard. Track B (Bot Lab — Skills Arena): Bring the new Stat Auction loadout into Skills Arena. Select a ball mode that should favor the build based on this morning's percent-change analysis. Choose and run one Skills Card. Log one calculation-based prediction and the actual result. Any mismatch is evidence for Track A's equation revision. Teams can split — one person on each track.
    30 min
  • ENDS
    Math Connection
    Name one mathematical claim from today's pre-match pitch rehearsals — from any team, not just yours. Write the calculation. Explain to a teammate why citing that specific number makes the argument stronger than a general claim. Four minutes.
    10 min
Stat Auction: don't shorten it

The 25-minute window is required for the math pressure to land. Four to six bidding rounds per team is the target — that takes time. Real-time formula calculation under social pressure, with permanent stat consequences at stake, is the most authentically mathematical pressure in the program. Cutting to 15 minutes means most teams make one or two bids and the moment never builds.

Learning Objectives

LO 1.3: percent change vs. percentage point difference, three consecutive correct dashboard entries · LO 4.2: pre-match prediction logged and compared each match · LO 7.2: revision entry with data-cited justification when >20% off

15
Teach the Math + Final Match
Wednesday, Week 4
  • Hook
    Bot Lore Gallery Walk
    Teams walk the room and re-read every bot origin story from Day 2. Each team writes one new sentence to add to their bot's lore — something that only makes sense because they played Seasons 1 and 2. Posts go back on the wall.
    25 min
  • Challenge
    Teach the Math: Rehearsal with Checklist
    Teams rehearse their 2-minute pitch using the rehearsal checklist. Each team must complete all four before they are ready:
    • One equation explanation — what the numbers mean, not just the letters
    • One visitor mini-challenge they can walk a stranger through
    • One dashboard number they can point to and explain
    • One freeze-recovery line (e.g., "Let me start with this number...")
    Peer feedback after each run: did they hit all four? Yes or no. Then the Teach the Math round: each team selects one calculation from their scouting report and explains it as if a visitor just walked in. No bot jargon — say what the number means in plain terms. The room asks one follow-up per team: "How did you get that specific number?" If the answer requires a calculation, do it on the board in real time.
    45 min
  • Snack/Lunch
    Snack (Crosstown) / Lunch (NYC)
    20 min snack at Crosstown (8:00–12:00). 60 min lunch at NYC sites (10:00–3:00).
    20 / 60 min
  • Build
    Season 2 Final Matches + Prediction Market Resolution
    Three rounds of round-robin play with equation prediction before every match and loss-recovery for every losing team. Ball modes alternate: Standard (tennis), Chaos (ping pong), Endurance (weighted ball). Commissioners may set the order. Teams record the ball mode used with each prediction and result on the Prediction Tracker. At the close: Prediction Market cards resolved — read each team's final Season 2 record against their public prediction card posted Day 13. Season 2 comparison: look at Season 2 residuals against Season 1 — which stat changes produced proportional results? This bridges directly to tomorrow's Exhibition.
    90 min
  • Challenge
    Post-Task Diagnostic: Prior Knowledge Reassessment
    15 minutes, individual. Parallel questions to the Day 1 pre-task diagnostic: same age-appropriate non-bot contexts, aligned to the Summer Sparks concept set — proportional reasoning, unit rate, ratio, proportional scaling, coordinate geometry (including distance), slope as rate of change, and linear decay. Facilitator compares results to Day 1 per concept. This is the only formal assessment in the program. Students will be tired after matches and prediction resolution — keep the room calm, lower your voice, give them space to work quietly.
    15 min
  • Open Lab
    Reflection + Final Prep
    Individual work first. Each student reviews their rehearsal checklist and marks which of the four items they feel ready on and which needs one more rep. If any claim is still vague, add the number now. Five minutes of quiet before any team discussion. Then write one sentence: "The thing I most want a visitor to understand tomorrow is ___." This is not new math. It is the moment before the moment.
    30 min
  • ENDS
    Team Pulse
    Each person rates the team's Season 2 performance: 1 = rough, 2 = okay, 3 = solid. Hold up numbers at the same time. Then each person completes aloud: "The moment I'm most proud of today was ____." If anyone holds up a 1, talk for 2 minutes — not about the score, about the execution. Five minutes.
    10 min
Prediction Market resolution: public miss is data, not failure

When prediction cards don't match actual records, say it plainly: "Your prediction was 4 wins. Your actual was 2. The gap is 2 matches." Then: "Missing the prediction does not mean the team failed. It means the model missed something. Find what it missed." Go straight to data. Don't soften the miss — students posted their predictions publicly and they know what happened. The analysis is the recovery.

Teach the Math: "How did you get that number?" is the only question that matters

The peer follow-up question — "How did you get that specific number?" — is the core assessment of the whole program. A student who can answer it on the board in real time, in front of the room, has the math. A student who can't will need one more round. Give those students a clear target for tomorrow's Exhibition: one calculation they can explain to a visitor without prompting.

Learning Objectives

LO 7.3: scouting report sections 1 and 2 — opponent stats as percentages and Endurance decay equation · LO 2.4: Endurance decay x-intercept predicted from equation · LO 6.3: error trace from bot behavior back to calculation · LO 9.1: a specific number or calculation named as the thing that changed their thinking

16
Community Exhibition: You Are the Experts Now
Thursday, Week 4
  • Hook
    Expert Setup + Explanation Modes
    Teams set up their station: scouting report, bot, coordinate grid, and data dashboard on display. Each station must offer four explanation modes — visitors engage however they're most comfortable. Verbal confidence is not the only path to success.
    • Spoken explanation — walk the visitor through it verbally
    • Written walkthrough — point to the scouting report or a dashboard annotation
    • Physical bot demo — show the stat allocation in action
    • Point to a dashboard number and explain exactly what it means
    Before doors open, teams practice all four modes on a teammate. Visitor flow: no more than 2–3 visitors per station at once. Rotate every 6–8 minutes. Facilitator redirects overflow. Quieter teams get manageable visitor volume first — build their confidence before the crowd arrives.
    40 min
  • Build
    Community Exhibition: Teaching Begins + Best Teacher Voting
    Visitors arrive. Teams teach each visitor to complete three mini-challenges: (1) calculate a unit rate from their scouting data — Season 1 wins divided by Speed stat, stated as wins per 1 Speed point; (2) plot two match coordinates on the arena grid and calculate the distance between them; (3) explain in their own words why their Speed stat and motor power scale proportionally. The goal: each visitor completes all three independently, without prompting after the initial explanation. That is the assessment. Visitors vote for Best Teacher during this block. The vote is based on: clear explanation, specific number used, and whether the visitor could complete the challenge independently. Not charisma. Not confidence. Not funniest student.
    75 min
  • Snack/Lunch
    Snack (Crosstown) / Lunch (NYC)
    20 min snack at Crosstown (8:00–12:00). 60 min lunch at NYC sites (10:00–3:00).
    20 / 60 min
  • Hook
    Walk the Wall: Final Gallery
    Final gallery walk of every artifact: bot origin stories, rivalry cards, leaderboard history, Commissioner rule changes, scouting reports, and the Day 1 goals posted in Week 1. Teams walk quietly. This is the full arc of four weeks made visible.
    20 min
  • Build
    Awards Ceremony
    Structure: Championship winner. Best Teacher award — announced by reading the visitor votes, not chosen by the facilitator. One specific mathematical moment per team (a particular calculation, a dashboard decision, a Commissioner argument — not generic praise). One student reflection sentence per team. Close. Not every student needs to perform publicly if energy is low.
    60 min
  • ENDS
    Journal Entry Week 4
    Optional water or breath break before writing. Written first: "What did you learn about yourself as a problem solver? Name one specific moment from this program where you solved something you thought you could not. What did you do differently than you would have done before camp?" Then optional share-out — one sentence per team if time and energy allow. If energy is low, the written journal is enough. Not every student needs to share publicly.
    10 min

Exhibition Facilitation: Your Role Has Changed

Do this

Redirect visitors to students: "Ask them — they know this system better than I do." Manage flow — redistribute visitors, reset crowded stations, and send quieter teams manageable volume first. Notice frozen students and give them a beat. If still stuck, redirect quietly: "Tell them how you calculated that number." Help students restart without taking over. Collect Best Teacher votes. Call time on blocks.

Not this

Don't explain the system to visitors yourself. Don't fill the silence when a student pauses to think. Don't step in between a student and a visitor unless the student is genuinely stuck — and even then, redirect to the student rather than answering the visitor's question yourself. Your credibility is now in service of theirs.

Exhibition Recovery Protocols
Student freezes: "Point to one number and explain that."
Visitor confused: "Show them the formula first, then the bot."
Student embarrassed: "Reset. Start with the number you know."
Best Teacher criteria — and what it's not

Visitors vote based on: clear explanation, specific number used, and whether the visitor could complete the challenge independently. Not charisma. Not confidence. Not funniest student. For the mathematical moment recognition: be specific. "On Day 9, you noticed the rival card cited your Endurance as 2 when it was actually 4, and you corrected it with the dashboard before responding. That's what Commissioners do." One real moment per team beats five rounds of generic praise.

Learning Objectives

LO 7.1: post-task diagnostic reflects Season 1 and 2 prediction practice · LO 8.2: Best Teacher award outcome reflects visitor-assessed teaching quality · LO 9.2: verbal reflection at awards ceremony (Hello Insight post-survey)