Mathematics 30 (braided classroom)
One combined classroom for Mathematics 30-1, 30-2 and 30-3. Braiding adjusts the shared calendar. It does not shrink any strand to ten sessions.
MATH30B Session 01 — Shared launch and diagnostic
Delivery id: MATH30B
Time: 75 minutes
Labels: ALL STRANDS (contract) · home-strand diagnostics 30-1 REQUIRED / 30-2 REQUIRED / 30-3 REQUIRED
Braid class: B
AI Tutor: load official_course_id from authorized profile only. Strand switch requires authorized profile change.
Alberta POS: https://open.alberta.ca/publications/mathematics-grades-10-12
Official outcome codes (this hour)
| Strand | Codes | Role today |
|---|---|---|
| 30-1 | toward MATH30-1-TRIGONOM-01-007 | Diagnostic only — not ticked complete |
| 30-2 | MATH30-2-X-01-001 | REQUIRED start |
| 30-3 | MATH30-3-X-01-001; MATH30-3-X-01-005 | REQUIRED start |
Shared portion (18 min) — ALL STRANDS
- Course contract: One room, three official courses (MAT3791 / MAT3792 / MAT3793). Combined classroom is delivery, not a fourth credential.
- Home-strand labels: Each learner confirms the label on their folder. No public shaming; folders if visibility of enrolment is sensitive.
- Five rules on the board: home-strand mastery only; exposure ≠ mastery; no silent tutor swap; support levels stay inside a strand; weeks 1–2 start maps, they do not finish diplomas.
- Project named: Sustainable water/hygiene micro-enterprise (details Session 05/09).
30-1 pathway (22 min) — 30-1 REQUIRED diagnostic
PATHWAY_30_1: algebraic language, domain.
Station F — Functions: Given \(f(x)=2x+1\) on a stated domain. Compute \(f(3)\). State whether \(x=-1\) is allowed if domain is \(x\ge 0\).
| Level | Prompt |
|---|---|
| FOUNDATION | Table of three x-values; fill f(x) |
| CORE | f(3) and domain sentence |
| PROFICIENT | Why f(x)=\sqrt{x} rejects x=-1 |
| ADVANCED | One composition numeric: (f∘g)(2) with g(x)=x+1 (preview only) |
30-2 pathway (22 min) — 30-2 REQUIRED
Station L — Logic: Short number puzzle (e.g. ken-ken 4×4 or “which statement must be true”). Name the strategy (guess-check, eliminate, work backward). SO 001.
| Level | Prompt |
|---|---|
| FOUNDATION | Complete with hints; circle a strategy word |
| CORE | Solve and name strategy |
| PROFICIENT | Transfer strategy to a second mini-puzzle |
| ADVANCED | Write a false-friend statement that looks true |
30-3 pathway (22 min) — 30-3 REQUIRED
Station M — Measurement: Read a ruler/scale photo. Distinguish precision vs accuracy; state uncertainty. SO 001. Mini logic puzzle (SO 005) if time.
| Level | Prompt |
|---|---|
| FOUNDATION | Read to nearest mm; copy definitions |
| CORE | Precision of instrument + uncertainty interval |
| PROFICIENT | Tolerance: “acceptable if within ±0.2 mL” |
| ADVANCED | Which instrument for chlorine residual vs tank height |
Stations rotate: 30-1 learners stay on F; 30-2 on L; 30-3 on M. Teacher may run them simultaneously (Class C layout) after the shared contract.
Cross-strand exposure
- 30-3 may hear “function machine” language (D-S01-FN). Log EXPOSURE. Not 007.
- 30-1 may attempt a puzzle for warm-up. Not 30-2-001 mastery.
Visuals
- VIS-M30B-CONTRACT (three PASI codes)
- VIS-M30B-MEAS (ruler/scale)
- Mapping diagram for f (30-1 tray)
Tutor boundaries
- 30-1 item bank: function diagnostic only.
- 30-2 item bank: puzzle strategy.
- 30-3 item bank: precision/accuracy.
- Refuse cross-bank grading.
Strand-specific assessment evidence
Diagnostic scores → baseline file, not completion. 30-2-001 and 30-3-001/005 may be started.
Exit tickets (8 min)
30-1: Write f(2) for f(x)=3x−1 and one domain caution.
30-2: Name the strategy you used in one sentence.
30-3: Precision of *this* instrument (photo on ticket) and one uncertainty sentence.
Teacher solutions
30-1 CORE: f(x)=2x+1, f(3)=7. If domain x≥0, x=-1 is not allowed.
30-1 PROFICIENT: √x undefined for negative reals in this course’s real-valued setting.
30-2 CORE: Strategy names must match the work (e.g. “eliminated impossible cells”).
30-3 CORE: Example: ruler to 1 mm → report 12.4 cm ± 0.05 cm if half-division uncertainty is the class convention; accept any consistent stated convention. Accuracy is closeness to true value; precision is instrument resolution/repeatability.
30-3 FOUNDATION: 12.4 cm is acceptable if they show the reading.
Misconception to kill today: “We are all in Math 30.” Correct: three official courses, one room.
Visual task (AFTER_RETRIEVAL): Interpret the graph and state slope/intercept or trend.
MATH30B session 01 graph 091