将图形分成相等的部分(7岁以上)
Splitting shapes into equal parts (age 7+)
将圆形和长方形分成两份、三份或四份相等的部分;用“一半”“三分之一”“四分之一”来描述这些部分;认识到同一个整体分出的相等部分不一定形状相同。
Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape
学习证据 / Evidence
- 将一个圆分成3个相等的部分,并把每一份标为“三分之一”。
- 用不止一种方法把一个长方形分成4份相等的部分。
- 解释两个看起来不同的部分仍然可能大小相等。
- Partition a circle into 3 equal parts and label each 'a third'
- Partition a rectangle into 4 equal shares in more than one way
- Explain that two different-looking shares can still be equal in size
评估问题 / Assessment
如果用两种不同的方法把一个长方形分成三等份,一种分成三条长条,另一种分成三个正方形,{{name}}能看出虽然这些部分的形状不同,但它们都是同样大小的三分之一吗?
If you cut a rectangle into thirds in two different ways (three strips vs three squares), can {{name}} recognise that both give equal thirds — even though the pieces look different?