- Shamrock Paths challenges students to use Pascal's Triangle to figure out how many different ways there are to spell Shamrock. Included in the PDF file are an explanation of how this problem relates to Pascal's Triangle and the numerical solution to the challenge.
- Shamrock Patterns requires students to rotate shamrocks to complete the pattern. Download some copies of Extra Shamrocks for students to cut apart and glue on to complete the patterns.
- Top of the Morning challenges students to identify the 100th and 1000th letter that will be printed on the electronic signboard.
Shamrock Paths challenges students to use Pascal's Triangle to figure out how many different ways there are to spell Shamrock. Included in the PDF file are an explanation of how this problem relates to Pascal's Triangle and the numerical solution to the challenge.
Download the Shamrock Paths student handout, explanation, and the solution.
Top of the Morning to You!
This problem challenges students to identify the 100th and 1000th letter that will be printed on the electronic signboard. To solve this, students will grapple with a division problem, figuring out how many letters are in the message and how many times the message will repeat to identify the 100th letter. This is a good introductory problem because there are no remainders, making this a straightforward division problem. Nonetheless, students must explain their thinking and the process they used to solve the problem, so it's effective practice for state testing.
