Liam already knows what box scores mean. You don't, yet. Say it plainly: "Liam, teach me what 5.2 means." He leads this part. You listen, you ask questions, you get things wrong on purpose. This is not a trick — you genuinely don't know and he genuinely does.
Today's big idea: a pitcher's whole inning is 3 outs — just his half. That's different from session 1's 6-out inning. If Liam notices that difference himself, stop everything and celebrate it.
Ask: "What does 5.2 mean?" Let him explain in full. Then: "Could there ever be a 1.3?" When he says the pitcher's whole is 3 outs, not 6, ask: "So the whole changed from last time?" That question is yours to sit with.
Why this works: he cements the concept by explaining it, not by watching you explain it.
Write four lines: Starter 5.2 · Reliever 1.2 · Reliever 1.1 · Closer 0.1. Ask: "What's the total?"
Why this works: putting it on paper gives him something to point at while he thinks.
Add them the wrong way, out loud: 5.2 + 1.2 + 1.1 + 0.1 = 7.6. Write it down. Then: "Does 7.6 innings make sense? How many outs would .6 be?" Let that sit before moving on.
Why this works: finding the wrong answer first makes the right one stick.
Count each pitcher's outs: 5×3+2=17, 1×3+2=5, 1×3+1=4, 0×3+1=1. Add them: 17+5+4+1=27. Ask: "How many innings is 27 outs?" He knows. Write 9.
Why this works: outs are his anchor from session 1. This connects new notation to something he already owns.
Try: 6.1 + 1.2 + 0.2 — answer is 8 and 2/3 innings, written 8.2. Then subtraction: starter went 5.2, full game is 9 innings, how much did the bullpen pitch? Answer: 3 and 1/3 innings, written 3.1.
Why this works: same move, different numbers — that's how a skill becomes a habit.
He got 5/6 with bottle caps and said "oh, it's just outs" — he doesn't need to be eased in slowly, he needs the right hook. So: outs are the anchor for every new idea.
He slipped once (wrote 2/3 + 1/6 = 3/9) and went quiet. Emma calling "Out!" reset him without embarrassment. So: Emma keeps her umpire job — it lets him recover without an audience.
He found the 12-slice whole himself and said "it's like finding the outs." He's making his own connections now. So: mixed numbers are ready to go — let him say the pattern first, don't beat him to it.
Guessing frustrated you. So: guessing became part of the game — guess first, then check with the caps. There's no wrong guess when the game expects one.
You worried you were "doing it wrong" when he slipped. So: each plan now names the normal slips. A slip on paper after three in a row is normal, not a sign the session failed.
You explained "slices that fit both" in your own words without the page, then asked if that was okay. It was — and it's yours now. So: less script, more of the why. You don't need word-for-word prompts anymore.
Bottle caps on a drawn inning. Liam got 5/6 and said "oh, it's just outs." The anchor stuck first try.
Tea-towel trick: cover caps, draw them, then numbers only. Solid on paper; one slip (2/3 + 1/6 = 3/9). Emma as umpire called him back.
Found 12 slices himself for 1/4 + 1/3 = 7/12. Said "it's like finding the outs." Half a loonie plus a fifth = 7/10. He's making his own connections.
Innings pitched notation. A new whole: 3 outs per pitcher. The decimal trap. Liam leads the first ten minutes.
Batting averages as fractions (.300 = 3 hits in 10 at-bats). A show-off day where Liam builds a full box score and explains it to Grandma.
Don't correct it — ask it: "Can there be 4 outs in an inning?" He'll catch it himself. If not: "Count the outs out loud. What does .2 mean?"
Good — that's the trap working. Ask: "Seven-point-six innings. Does that make sense? How many outs is .6?" Don't give the answer. Give him time.
Don't wait for him to explain himself. Move straight to counting outs. Give him something to do with his hands. Emma can call each out as you count.
Say it out loud: "Let me count these too." Do it together. You working through it beside him is more useful than having it figured out ahead of time.
Give her the umpire job: she counts and calls each out aloud as you go. Keep her busy so Liam stays the scorer.
Stop before the optional problems. The main puzzle — 27 outs = 9 innings — is the win for today. The extra problems can open session 5.
Copy this note, fill in the blanks, and send it back. It helps MetaDAX plan session 5.
Use this in any AI assistant when you want to think through what happened. This is for you — Liam isn't part of it.
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Because three outs ends an inning. A pitcher pitching "1.3" innings would mean he got 3 outs — but as soon as he got that third out, the inning was over. So 1.3 = 2.0. There's no .3 in a box score.
That counts as one full inning: 1.0. The .0 just means zero extra outs. You'll see "1.0" a lot for relievers who come in, get three outs, and leave.
Because the numbers after the dot aren't regular decimals — they mean outs (0, 1, or 2). When you add them like regular decimals you get things like .4 or .5 that don't exist. Counting outs and then dividing by 3 always gives the right answer.
Yes. You can add the whole innings first, then add up just the outs, and convert: every 3 outs = 1 inning. Scorers who do this every day do it in their heads in about two seconds.
In session 1 the "whole" was a full inning — both halves, 6 outs. When a pitcher is on the mound, he only pitches one half: 3 outs. So the same word "inning" means something different depending on what you're counting. That's the hardest part, and you already noticed it.
Exactly. Half a loonie and half a game are both "half," but one is 50 cents and one is 3 outs. The bottom number only makes sense when you know what the whole is. That's true for every fraction, everywhere.
You know box scores. Mom doesn't yet. At the start of session 4, you run the first ten minutes. Read this script to her.
"Mom, look at this. See 5.2? That means the starter pitched 5 full innings and then got 2 more outs. It does NOT mean five-point-two innings like a regular decimal."
You say: "Only 0, 1, or 2. Three outs and you're done. There's no .3."
"What does 1.2 mean?" Wait. If she says "one-point-two innings," say "nope" and explain it again yourself.
"One inning and 2 outs. Each out is one third of an inning. So 1.2 is one and two-thirds innings."
Write this out and hand her the pencil:
Ask: "What's the total innings?" She'll probably add them as decimals and say 7.6. Tell her: "That's the trap. Count the outs instead." Show her: 17 + 5 + 4 + 1 = 27 outs = 9 innings. Full game.
You knew something before she did. You explained it. That's not just knowing box scores — that's knowing how thirds work. Keep that.
Earn these in Box Score Boss.