proportional reasoning Flashcards
whar does capacity stand for
it stands for the amount of vol which is to power of 3
what power is scale factor to
1 (none)
what varible represents scale factor
K
what is rate and what type of units
its comparing two things one one is somthing the other is somthing at the same time ex ) price / kg
what does unit rate stand for and what type of units
it is a rate that has one of the other values as one ex meters/ 1 min
whats something that has to be the same units
scale factor (K)
when question gives scale unit and another value and wanting to find out diagram size / original size how to approch
- you write out scale factor as a fraction
- make it as a proportion = (then solve
! (if the other value it gave is ^2 or ^3 then you hav to have scale unit to those powers as well) !
when question gives the dimentions of one thing then the area of the other in ^2 or ^3
wanting dimensions of new thing (the one that told u area) in linear scale
1) draw out cute pic with dimentions on one area with the other (whats given)
2) use one of the formulas for scale factor new/orig or diagram/actual
3) then √ or cube root to get k=
4) use dimensions given times by k
what does linear scale stand for
just k with no power so written k=
when question gives the capacity of two things
asking how many times longer will it take to fill / smaller how to solve
1) use formula to find the k^3 (doesn’t matter to what power formula same) divide larger by smaller
just remember answer in ^3
when scale factor what type of units do both have to be
the both have to be the same units
how to do grid question asking perimeter and given scale ratio
1) count each squares per side then add them all toghether
2) write out 1/ (how many per grid = to) then proportion with squares added toghether in (diagram/actual) its diagram just to get the grids to be in how theyre = to
3) then after get answer from proportion above as diagram aswell then find actual (cross multiply then /
how to do grid question asking for area
1) spilt diagram in half then times L times W on both (numbers should be there from preminter counting each box)
2)then add both areas together then use how much one grid / (what one grid = to ) proportion with area to get area in what grid = to
3) then use scale ratio given to area from proportion above to find = to
whenever proportion and a unit is to power 2 or 3 what do you need to remember to do
you need to remember to raise the scale factor to that power then some normally
( then if wants in linear scale factor square root or cube root )
how to turn m to cm
times 100
