George will read pages 385 through 512 in his karate history book. How many pages will he read?

1. What simpler problem can you make?

2. What is the general rule?

3. Show that your rule works for page numbers 500 to 505, as well as another shorter set of page numbers.

4. What is the benefit of finding a rule?

George will read pages 385 through 512 in his karate history book. How many pages will he read?

George will read one hundred twenty-eight pages.

What simpler problem can you make?

I can change this problem into 512-385=?

What is the general rule?

The general rule for this question is to subtract.

Show that your rule works for page numbers 500 to 505, as well as another shorter set of page numbers.

My rule works for page numbers 500 to 505 as well as another shorter set of page numbers because for 500 to 505, you can make this equation: 505-500=5, which means that there are 5 pages to read.

What is the benefit of finding a rule?

In the relate-to-a-simpler-problem strategy, you make an easier problem of the same type.

You think about a pattern or a rule you could use to solve the easier problem.

Then you use what you learned from the easier problem to solve the original problem.