standard_description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
problem_activity: Problem 1
Estimate the following quotient. Then compute it.
$$486\div79$$
Problem 2
Divya is trying to solve
$$369 ÷ 46$$
. She estimates the quotient to be
$$369\div46 \approx 350 \div 50 = 7$$
. She starts to compute below:
[IMG]
a.   What do you notice about Divya's work so far? What do you wonder?
b.   Based on what you noticed and wondered about Divya's work, find the solution to
$$369 \ ÷ \ 46$$
.
Problem 3
723 students were divided equally into teams of 94 students for field day. Any students left over after making as many groups of 94 as possible will just be a smaller team. How many students will be on a team smaller than 94, if any?


aligns: no