These two group activities use mathematical reasoning - one is
numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Find the sum of all the dates in a week (you could use the dates
of this week).
Write down the total.
Multiply the number of the first day in the week by $7$.
Add $21$ to the product.
What do you notice about the two results?
Can you explain what accounts for the second answer?
Choose two consecutive weeks on the calendar and find the sum of
Multiply the number of the first day in the first week by
Add $91$ to the product.
How does this compare with using just one week?
Why do you multiply by $14$ and why add $91$?