My math questions were perpetually stuck at *calculating*. Everything looked like this:

622 + 77 = ___

### The Problem?

My most brilliant mathematicians would get the right answer and then… they’d get *another* calculation problem. **In fact, they’d get 10 or 15 or 20 versions of the same problem.** All at the same low level of thinking. No follow up questions to push them higher on Bloom’s Taxonomy.

Sure, the worksheet might end with a word problem. **But that word problem was just another calculation problem in disguise, right?**

### The Update

So here’s one way I’d transform 622 + 77 = ___ into something that involves a bit more thinking. We’ll remove some of the digits in the addends. *And* we’ll give the sum:

```
```
☐2☐

+ 7☐

------

699

Plus we add a constraint: **we can only use each digit from 0 – 9 once per solution** (Thanks to OpenMiddle for this idea.) So we’ve already used up 2, 7, and 6. (You can change this constraint however you’d like!)

And we’re not just looking for *one* solution. The question is: **How many solutions we can find**.

Further, I want to know how my mathematicians were thinking as they found those solutions. **What patterns did they leverage?** It wasn’t just endless guess-and-check, right? By asking about the patterns they spotted, we’re pushing up to Analyze – since they must have been comparing and categorizing.

So that’s one way we can move a mere calculation problem to a higher-level of thinking.

### For Byrdseed.TV Members

- I have a whole category of problems like this for Byrdseed.TV members.
**And, yes,***all*of the answers are included!! - This particular problem is available right here.