What a fraction is
Before we ever add fractions, we learn what one IS. Cut things fairly, name the parts, and see where fractions live on the number line.
Numbers that tell a story
A pile of numbers is just a pile until you organize it. Level it, order it, plot it — and it starts talking.
The operations that carry everything
Two rituals worth owning for life: take-away with trading, and long division. Both are walked one column at a time, with every move written — no number is too big for them.
The words we're learning
Every word below is taught inside an activity — never as a list to memorize. This is just so you can see them all in one place.
- fair shares
- fractional parts
- numerator
- denominator
- benchmark
- fraction bars
- equivalent fractions
- infinite
- average / mean
- median
- range
- minimum
- maximum
- outlier
- stem-and-leaf plot
- stem · leaf
- line plot
- dividend · divisor
- quotient
- remainder
- regroup / trade
For the teacher
The order is the pedagogy. Activities 1–6 build the concept of a fraction before any operation on one; 7–11 build statistics from organizing data, not from formulas. Run them in order the first time; after that, any activity works as a warm-up or a re-probe.
Every activity holds three sets — the same skills with different numbers — so the same student can be probed three weeks running without being measured on memory. The teacher panel at the bottom of each page builds the probe row (independent · supported · hints · confidence) for you.
Send a link, get a row back. Share any activity's address with a student (or show it on the board). When the page can reach your Sheet, a Send button appears after a finished set — one tap posts one row to the Practice tab of your Google Sheet: activity, set, independent, supported, hints, confidence, and the first name the student types. Nothing else ever travels.
One-time setup: re-paste the updated AoG-Screener-Sync-Code.gs into your Apps Script project and deploy a new version. The script creates the Practice tab by itself on the first row. Until you update, practice rows land in DailyCheckins marked checkinType = practice — harmless, but the Practice tab is tidier.
A bare link stays private. On a device with no path to your Sheet, the Send button never appears and the page is exactly what it says: nothing leaves the computer. The lock section on every page tells the student the truth for the mode it is in.
Every activity in this series — and every Social Studies activity — opens three doors. A student who wants to see one first taps Show me one first and the page walks a worked example at their pace — watching is instruction, never a trial. The eight problems are the middle door. And after the close card, One more, if you want it offers a single honest stretch — optional every time, and declining is named as a strong move too. The probe row records all three (demo watched · 8-count · stretch), so one page serves your lowest and your highest learner without either being singled out. (The Interior Math and Science Vocabulary pages open the first two doors — the worked example and the set — not yet the stretch.)
Confidence is never a score. The 1–5 at the end of each activity is the student's own read of themselves. It goes in the row so you can watch it move — it is never averaged with anything.
The next unit continues this series: adding and subtracting fractions, and converting units of measurement — built the same way, numbered from Activity 12.