Student Work Samples — Ewan Gee PCT Portfolio

Jordan T.

Year 10 · Algebra · Solving Equations | Term 1, 2026

Extension stream

Merit

Equations — Codebreaker Stage A

Solve: 3(2x + 4) − 2(x − 1) = 30

= 6x + 12 − 2x + 2 = 30

= 4x + 14 = 30

= 4x = 16

∴ x = 4 ✓

Check: 3(2×4 + 4) − 2(4 − 1)

= 3(12) − 2(3) = 36 − 6 = 30 ✓

Generalise: if 3(2x+a) − 2(x−b) = c

then 4x = c − 3a − 2b

x = (c − 3a − 2b) / 4

Teacher Feedback

✓ Excellent working — each step clearly shown and the verification is thorough. Your generalisation is correct and shows strong algebraic thinking.

→ Next: Can you show this works even when a, b, or c are negative? Try with a = −2.

Evidences: Std 2 — Content Std 6 — Assessment

Aria P.

Year 9 · Measurement · Volume of Cylinders | Term 2, 2026

Standard stream

Achieved

Volume — Cylinder (Spicy)

Find V for: r = 6 cm, h = 14 cm

V = π × r² × h

V = π × 6 × 14 = 263.9 cm³

V = π × 6² × 14

V = π × 36 × 14

V = 1583.4 cm³ ✓

Teacher Feedback

Great that you caught and corrected the error yourself — that's exactly the kind of checking I want to see. The correction is perfect. Squaring the radius is the most common mistake on this topic.

→ Next: Try the compound shape on the back page. You're ready for Extra Hot.

Evidences: Std 2 — Content Std 4 — Planning Std 6 — Assessment

Hemi W.

Year 9 · Geometry · Symmetry & Tukutuku | Term 2, 2026

Standard stream

Merit

Tukutuku Pattern — Symmetry Analysis

Niho taniwha (zigzag):

Lines of symmetry → 1 (vertical, centre)

Rotational order → 2 (looks same at 180°)

My design (Codebreaker):

Used translation to repeat motif × 5 across

Used reflection for top and bottom halves

Pattern has 2 lines of sym., order 2 ✓

My pattern represents our whānau — it goes both ways.

Teacher Feedback

✓ Beautifully done, Hemi. Your symmetry analysis is accurate, and the cultural connection you've made in your design note is exactly the kind of thinking this lesson was trying to encourage.

→ Next: Write the full transformation description for each step (direction + distance for translations).

Evidences: Std 1 — Te Tiriti Std 2 — Content Std 6 — Feedback

Te Kahu M.

Year 9 · Statistics · Exit Ticket & Resubmit | Term 1, 2026

Standard stream Growth evidence

Achieved ↑

Exit Ticket — Statistical Questions (Attempt 1)

Write a stat question about sleep and Year 10s.

"Do Year 10s get enough sleep?"

After feedback — Attempt 2

"I wonder if Year 10 students who sleep

more than 8 hours get higher test scores

than those who sleep less than 8 hours."

Variable: sleep hours (numerical, continuous)

Group: Year 10 students

Intent: comparison ✓

Teacher Feedback — Resubmit

✓ This is a completely different question — and it's a good one. You've named the variable, the group, and the intent correctly. The resubmit shows you understood the feedback.

→ This is the kind of improvement that matters. Bring this thinking to Tuesday's data collection task.

Evidences: Std 3 — Know the Learner Std 6 — Feedback loop