数列规律关系
Number Pattern Relationships
根据两条给定规则分别生成两个数列;找出对应项之间的关系;组成有序数对并在坐标平面上描点。
Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane
学习证据 / Evidence
- 从0开始,分别按“每次加3”和“每次加6”的规则生成数列;观察到一个数列中的每一项都是另一个数列对应项的2倍。
- 将对应项组成有序数对,并在坐标网格上描点。
- 用通俗的语言解释为什么这两个数列之间的这种关系成立。
- Generate sequences starting at 0 with rules 'add 3' and 'add 6'; observe terms in one are twice the other
- Form ordered pairs from corresponding terms and plot them on a coordinate grid
- Explain informally why the relationship between the two sequences holds
评估问题 / Assessment
{{name}}能同时按两个数列规律(例如“每次加2”和“每次加4”)生成数列,把对应项配成对,再把这些数对作为点画在图上吗?
Can {{name}} follow two number patterns at once — for example, "add 2" and "add 4" — pair up the matching terms, and plot those pairs as points on a graph?