分数面积
Area with Fractions
用单位分数小方块密铺长方形，求分数边长长方形的面积，并说明面积等于长乘宽的结果。
Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
学习证据 / Evidence
- 用 1/12 的小方块铺满一个 2/3 × 3/4 的长方形，数一数得到面积 = 6/12 = 1/2
- 解释为什么单位分数小方块的个数等于两个分数相乘的积
- 用分数乘法计算边长为 1 1/2 和 2/3 的长方形面积
- Tile a 2/3 × 3/4 rectangle with 1/12 squares and count to find area = 6/12 = 1/2
- Explain why the number of unit-fraction tiles equals the product of the two fractions
- Calculate the area of a rectangle with sides 1 1/2 and 2/3 using fraction multiplication
评估问题 / Assessment
如果一块布料长 2/3 米、宽 3/4 米，{{name}}能算出它的面积吗？还能解释为什么用很小的分数方块铺满它，得到的面积和长乘宽的结果一样吗？
If a piece of fabric is 2/3 m long and 3/4 m wide, can {{name}} work out its area — and explain how tiling it with tiny fraction-squares shows the same answer as multiplying?