Arin Unlocks the Perimeter Formulas

Create one continuous premium Grade 6 mathematics animation titled “Arin Unlocks the Perimeter Formulas”. Let each formula emerge visually from adding and grouping the side lengths. Use readable equations and accurate calculations. SEQUENCE 1 — RECTANGLE FORMULA Visual: rectangle 12 cm × 8 cm. Show 12 + 8 + 12 + 8 = 40 cm; group equal sides as 2 × 12 + 2 × 8; then transform to 2 × (12 + 8) = 40 cm. Reveal: “Perimeter = 2 × (Length + Breadth).” SEQUENCE 2 — SQUARE FORMULA Visual: square with side 1 m. Show 1 + 1 + 1 + 1 = 4 m, then “Perimeter = 4 × side”. Follow with side 6 cm: 4 × 6 = 24 cm. Explain that all four sides are equal. SEQUENCE 3 — TRIANGLE AND EQUILATERAL TRIANGLE Visual: triangle sides 4 cm, 5 cm and 7 cm; calculate 4 + 5 + 7 = 16 cm. Then show an equilateral triangle with each side 5 cm: 5 + 5 + 5 = 3 × 5 = 15 cm. Reveal: “Perimeter of an equilateral triangle = 3 × side.” SEQUENCE 4 — REGULAR POLYGONS Visual: triangle → square → pentagon → hexagon, with all sides equal. Count the sides and show repeated addition becoming multiplication. Reveal: “Perimeter = number of sides × side length.” A regular hexagon with side 6 cm gives 6 × 6 = 36 cm. SEQUENCE 5 — FORMULA MAP AND MIXED CHALLENGE Show the formula map: Rectangle P = 2 × (L + B); Square P = 4 × side; Triangle P = side 1 + side 2 + side 3; Equilateral triangle P = 3 × side; Regular polygon P = number of sides × side length. Then ask learners to choose a method for: rectangle 10 cm × 4 cm → 28 cm; square side 7 cm → 28 cm; regular pentagon side 5 cm → 25 cm. Do not introduce formulas without showing where they come from. Keep the lesson limited to the listed shapes.