L2 · Area of a Rectangle: Side × Side (Arrays)
“I can find the area of a rectangle by multiplying its two side lengths, because the rectangle is an array of unit squares - and I can run the multiplication backwards to find a missing side.”
A rectangle is 6 cm long and 4 cm wide, drawn on a centimetre grid. Step 1: Tile it mentally: each row holds 6 cm squares, and there are 4 rows. Step 2: Counting all the squares gives 6 + 6 + 6 + 6 = 24. Step 3: Multiplication is the fast version of that count: Area = side x side = 6 x 4 = 24 cm². Say it plainly: the two side lengths tell you the array - how many squares in a row, and how many rows. Multiplying the sides counts every square inside, without drawing them.
We multiply the two side lengths because...
A rectangle is 8 cm by 3 cm. Area? -> 24 cm² (8 x 3)
"A rectangle is 9 cm by 5 cm: Area = 9 x ___ = ___ cm²" -> 5; 45 cm²
10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.