Mathematics Measurement Representational 8–9 yrs

Area and the distributive property

面积与分配律

Description

Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property

Mastery Evidence

✓ Tile a 3×(4+2) rectangle and show it decomposes into 3×4 and 3×2
✓ Use an area model to compute 6×13 as 6×10 + 6×3
✓ Draw an area model showing 5×(7+3) = 5×7 + 5×3

Assessment Prompt

If your child wants to work out 6 × 13 by splitting it into 6 × 10 and 6 × 3, can they draw a rectangle divided into two parts to show why that method works?