i really like this and am going to use it in my unit on exponents.

as i was working on james tanton's problem today: https://twitter.com/jamestanton/status/499534779197706240 i started thinking about perfect squares and the kinds of interesting open questions you could ask a student.

like for example, is there an integer that when you square it the last digit will be 7? why/why not?

or, x is an integer multiple of 10...what's the last digit of (x-1)^2? or, x is an integer multiple of 10...how far apart are (x-1)^2 and (x+1)^2?

or an integer is squared and the result is a 5 digit number with the last digit 4. what could the integer be? what's the lowest value? what's the highest value?

i really like this and am going to use it in my unit on exponents.

ReplyDeleteas i was working on james tanton's problem today: https://twitter.com/jamestanton/status/499534779197706240

i started thinking about perfect squares and the kinds of interesting open questions you could ask a student.

like for example, is there an integer that when you square it the last digit will be 7? why/why not?

or, x is an integer multiple of 10...what's the last digit of (x-1)^2?

or, x is an integer multiple of 10...how far apart are (x-1)^2 and (x+1)^2?

or an integer is squared and the result is a 5 digit number with the last digit 4. what could the integer be? what's the lowest value? what's the highest value?

so much fun stuff!!!