Points are optional. Round 1 The calculator has a broken 1 key and a broken 3 key. Make the following numbers: A. Round 2 The calculator has a broken 2 key and a broken 5 key. Round 4 The calculator has broken 1, 2, 3, 4, 5, and 6 keys. The Launch 5 minutes Use the same structure as in Lesson 1. The only difference today is that the calculators are profoundly broken: instead of a few keys being broken, only a few keys are working.
Once they understand the new calculator, break into groups and pose the following questions in rounds, as in part 1. Get tons of free content, like our Games to Play at Home packet, puzzles, lessons, and more! Home Free Lessons Broken Calculators.
Description Author:. Fri, November 13, , last modified December 5, Activity , Problem. Mental Math Games. From X to Y, the only way to go is either -1 or x2. The key is that going from X to Y is not deterministic, because one can choose to x2, or -1 first and then x2. Therefore, going from Y to X is straightforward. Although I understand this is competitive coding, not a real world application, isn't this solution against the spirit of the problem?
You are told that the calculator can only double or decrement, but here we are using divide and increment. One might argue that the limitation is on the calculator, not in the program, but in that case, why even worry with the broken calculator at all? I did exactly the same thing as this answer but just cannot prove it mathematically. Can someone explain these to me, please? Why won't the BFS solution work in this problem? Also, how to distinguish when to use BFS or a greedy method as in this case?
Discuss Broken Calculator. In one operation, you can: multiply the number on display by 2, or subtract 1 from the number on display.
Related Topics. Math Greedy. Similar Questions. Quick Navigation. So far this activity has been accessed times and 5 Transum Trophies have been awarded for completing it.
Click the keys on the calculator above to make the numbers 1 - As you make each total your calculation will appear in the table on the right. Unlike a normal calculator, for this activity, you cannot use one total you have found to help make another. Each calculation starts from scratch zero.
Other broken calculators; 1 and 5 2 and 3 3 and 4 4 and 5 5 and 2 6 keys. Very much appreciated. The solutions are available below for those signed into our teachers only access area. Suffice to say all of the totals are possible and it may be fun for the pupils to puzzle over the answers that they can't find rather than be tempted to peek at the solutions.
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