MATH30B Session 10 — Strand-specific exit tickets and calendar check

Time: 75 minutes

Labels: mastery tickets by home strand · CROSS-STRAND EXPOSURE logged separately · NOT as mastery

Braid class: evidence harvest (A/B starts) + D log audit

Official outcome codes (harvest of starts only)

30-1 REQUIRED packet

MATH30-1-TRIGONOM-01-007, 02-008, 06-012, 07-013, 08-014, 01-021, 02-022

Not claimed complete: 001–006, 009–011, 015–020, 023–024.

30-2 REQUIRED packet

MATH30-2-X-01-001; LOGICALR-02-004, 04-006, 05-007, 06-008, 04-012; RELATION-05-013, 06-014; MATHEMAT-01-017

Not claimed complete: 002, 003, 005, 009–011, 015–016 full, 017 finished presentation.

30-3 REQUIRED packet

MATH30-3-X-01-001, 03-004, 01-005, 02-006, 03-007; ALGEBRA-01-008, 01-011

Not claimed complete: 002, 003, 009, 010.

Shared portion (12 min) — ALL STRANDS

1. Show three remaining-outcome lists (pacing skeleton).
2. Each learner ticks home strand only.
3. Exposure register: learners initial D items they *heard* (S04 inverse, S06 magnitude, S08 other tray). Teacher files under EXPOSURE.

30-1 pathway (40 min) — 30-1 REQUIRED

Mini-packet (FOUNDATION items first; CORE default; last two PROFICIENT/ADVANCED optional).

1. f(x)=2x+5. f(3). Domain if x≥0. (007)
2. Point (1,4) on f. Image on y=f(x-2)+1. (008)
3. Inverse of f(x)=2x+5. (012)
4. Rewrite 3^4=81 in log form. (013)
5. Expand log(x^2 y) (x,y>0). (014)
6. FCP: 4×5 with one forbidden cell. (021)
7. P(6,2). Why order matters. (022)

30-2 pathway (40 min) — 30-2 REQUIRED

1. Name a puzzle strategy from S01. (001)
2. Mutually exclusive: P(A or B) given exclusive P. (004)
3. FCP 3×4. (006)
4. P(5,2) and C(5,2) — which unordered? (007/008)
5. U(t)=50(1.1)^t; t when U=80 (tech after setup). (012/013)
6. Two sentences on a data graph. (014)
7. Research question for the enterprise. (017)

30-3 pathway (40 min) — 30-3 REQUIRED

1. Precision vs accuracy on a pictured instrument. (001)
2. Linear: table to equation; interpolate. (008)
3. Dilation k=2 then k=1/2. (004)
4. Interpret P=0.2 in a test story. (011)
5. Buy vs lease: monthly vs total (issued numbers). (006)
6. Profit/loss from a 4-line ledger; viability. (007)
7. Optional: puzzle strategy (005) if not yet evidenced.

Cross-strand exposure

Separate half-sheet. No SO codes in the score column. Header: EXPOSURE — not mastery.

Visuals

Calendar of remaining map (three columns) · packet covers labelled by strand

Tutor boundaries

Serve only the home-strand packet. If profile missing, refuse. Strand switch: authorized_profile_change, then new packet — do not mix in one sitting.

Strand-specific assessment evidence

Record each item as start / developing / secure-for-now — not course complete. Diploma 30-1/30-2 still have most SOs ahead. 30-3 still missing sine law, polygons, stats.

Exit tickets

The packets are the exit tickets. Collect exposure half-sheet separately.

Teacher solutions

30-1: f(3)=11; domain x≥0; image of (1,4) on y=f(x-2)+1 is (3,5); f^{-1}(x)=(x-5)/2; log_3 81=4; log(x^2 y)=2 log x + log y; FCP e.g. 20−1=19; P(6,2)=30.

30-2: 001 strategy must match S01; exclusive P add; 12; P(5,2)=20, C(5,2)=10 unordered; t=ln(80/50)/ln(1.1)≈4.93; 014 two honest graph sentences; 017 question present tense researchable.

30-3: 001 definitions; 008 from issued table; dilation recovers original; 011 interpretation not nPr; 006 from issued table; 007 arithmetic + critique.

Calendar script: “30-1 still owes trigonometry, stretches, polynomials, rationals, combinations, binomial. 30-2 still owes sets, full probability, rationals, poly/sine data, finished 017. 30-3 still owes sine/cosine law, polygons, mean/median/mode, percentiles.”