3 suggestions: a Exponent and a Root command and a command to reduce/simplify formulas
I’m working on a GeoGebra-app where the students are going to learn how to solve equations and isolate letters in formulas by choosing which operations they would like to make on the left and right side of the equal sign.
But when it comes to more complex equations like 2^(3x) = 64 and so on, I need GeoGebra to be able to identify the exponent 3x and the root 2 for the function 2^(3x). Therefore I will suggest to make an Exponent and a Root command which has this as an output.
And when it comes to formulas, I miss the possibility to only reduce the formula when the same letter appear on the same side of the equal sign but with the opposite operation sign beside it.
Like for example: A = a + b <=> A - a = a - a + b <=> A - a = b
Or K = (1 + r)^n <=> lg(K) = lg( (1 + r)^n ) <=> lg(K) = lg(1 + r) * n <=> lg(K) / lg(1 + r) = lg(1 + r) * n / lg(1 + r) <=> lg(K) / lg(1 + r) = n
I use one function for each side.
By now when a function contain letters and you use the command “Simplify” then a + b + c - c will be 7 when a = 3 and b = 4 instead of just a + b.
Maybe this would require some special object for entering and reducing formulas. Or you could make a special command for reducing formulas according to my description above.
It would be very nice if it would be possible to enter and reduce formulas in GeoGebra in this way.
Else I can’t see how I can make a GeoGebra-app that can learn the students how to isolate letters in formulas and get there isolation checked by the pc which is a much more effective way to learn it than any other way I know.