Constructing and Checking Square PQRS

Create the full Grade 6 construction lesson for Section 8.3. Use Yuvan as the only presenter. Show each ruler-and-perpendicular action clearly and in order. Mission: construct square PQRS with side length 6 cm. 1. PLAN: a square has all four sides equal and all four angles equal to 90°. 2. STEP 1 — Draw PQ = 6 cm with a ruler. Label P and Q. 3. STEP 2 — Construct a perpendicular to PQ through P. Mark ∠P = 90°. It must be geometrically accurate, not approximate. 4. STEP 3 — Measure PS = 6 cm along the perpendicular and mark S. Explain that both side length and right angle matter. 5. STEP 4 — Construct a perpendicular to PQ through Q. Mark ∠Q = 90°. The textbook also notes that a perpendicular can be constructed using a compass; acknowledge this alternative without skipping the shown sequence. 6. STEP 5 — Mark R on the perpendicular through Q so QR = 6 cm. 7. STEP 6 — Use a ruler to join R to S, completing square PQRS. Keep vertex order P → Q → R → S around the boundary. 8. VERIFY the sides: PQ = 6 cm, QR = 6 cm, RS = 6 cm, SP = 6 cm. 9. VERIFY the angles: ∠P = ∠Q = ∠R = ∠S = 90°. Only after both checks, display “SQUARE ✓”. 10. Show brief error checks: (a) one side is not 6 cm; (b) an angle is not 90°; (c) sides appear equal but a right-angle property fails. Pause for learner responses. 11. Final challenge: show PQ = 6 cm and a perpendicular already drawn through P. Ask “What should I do next?” Pause, then reveal: “Mark S so that PS = 6 cm.” Memory card: DRAW PQ = 6 cm → PERPENDICULAR THROUGH P → MARK PS = 6 cm → PERPENDICULAR THROUGH Q → MARK QR = 6 cm → JOIN R TO S → VERIFY. Keep measurements and geometry accurate. Do not introduce rectangle construction, area, perimeter, diagonals or unrelated geometry.