Basic algebra is used in almost everything modern, and basic geometry and intro trig is used in anything with construction (cabinetry, architecture, designing machinery, etc)
What REALLY happens in American education, is that the following trainwreck derails everything together:
1) The impetus to 'meet metrics!' Means under-performing students are not isolated and given remedial or supplimentary special education, because of our cultural love affair with blanket equality/fungibility. (Depending on if you are more liberal, or more conservative, roughly speaking. The more liberal embrace the lie that everyone has the same potential, whike the more conservative want uniniversally replacable cogs. Both are delusions, imo.) This results in a 'bipartisan' view that tracking and sorting children based on aptitudes and capability scores, results in disadvantaged / 'underperforming' workers later in life. More on this in 2.
2) as a result, you have kids that are just not cut out to be engineers, scientists, mathematicians, programmers, literary experts, historians, et al, all forced to 'endure' a soul-crushing curriculum that is not tailored for them, their specific needs, interests, or strengths. These kids end up hating school, and hating certain subjects especially. The society 'Does Not Care.'
3) the kids that ARE cut out to be engineers, scientists, mathematicians, et al, end up getting starved of the more details oriented education they need to actually be engaged, (impossible due to the constraints on resources, time, and 'enforced fungibility' of 'end product'), are subjected to a decade of endless tedium of rote memorization, terse and soured educators leaving them disillusioned, and a raft of other maladies.
The impetus for these enforced outcomes stem from unhealthy/delusional ideations from the leadership of society, either in the form of 'we must ensure upward mobility of everyone always!!' Or 'we must ensure a ready supply of equally abusable wage slaves to grease the wheels of the economy!'
More on that:
Not everyone can, or should be a doctor. Not everyone can, or should, be an engineer.
Likewise, not everyone can, or should, be a teacher.
Not everyone can or should, be a tradesman (electrician, plumber, construction worker)
Nations that DO attempt to track and customize education (Germany being a prominent example, but there are numerous others) tend to have better overall success in producing well adapted and happy citizens in their respective countries, with better respect for education as a practice, and with the sciences and knowledge work not being maligned.
They tend to be controversial, however, in that somebody slated to go down the skilled trades pathway, inherently gets 'soft blocked' from ending in a careerin academia later in life, even if that person discovers a late life love for that. (And vise versa!)
Thrown on top, is an 'elitist' notion from both ends of the spectrum, that 'trades' and other non-intellectual careers are 'lower value'.
The mathematician/theoretical physicist/doctor/lawyer is 'more valuable' than the plumber, the garbage man, or the hvac installer tech.
This results in CEOs and the like getting paid millions of dollars annually, while others cant really afford to live, and must work multiple jobs while being told they are lazy and entitled. At the same time, the very concept of 'upward mobility' implies that this delineation in value and status, is 'simply true!(tm)'. That there is a need to pull 'the bottom' to 'the top'. The UPWARD in 'upward mobility')
It has been my observation that all of the above, and its resulting outcomes, are just the synthesis of these warring delusions playing out, with everyone else suffering for it:
CEOs are *NOT* 'more valuable' , 'more intelligent', 'more skilled', or 'more worthy' than the garbage man. In fact, numerous statistical studies have shown that RANDOM LOTTERIES for decisions OUTPERFORM human CEOs an alarming percentage of the time.
The same cannot be said for the garbage man.
So, which is actually more valuable?
As such, I am a staunch proponent for the following INSTEAD.
1) kids SHOULD be tracked, and guided into vocations that suit them, because they ARE NOT actually fungible, and pretending that they are, actively hurts them, and society.
2) There need to be social protection laws that deny the notion of 'upwards', by having a flat society, not a stratified one. Garbage man makes the same wages as CEO. THE END.
This will result in a generally more livable society, in which people are more happy, and engaged.
That is however, NOT what the Western World has.