For speaking algebra to a group of preschooler is simple:
Algebra is a grup of numbers such as 1,2,3,4,5 and letters a,b,c,d and when you combine these terms you get numbers multiply by the letters to have something known s coifficent. It's importnat to hve these because it solves problmes in the world everyday. Such as if you wanted to buy a bag of gummi bears and they cost $1.12/bag nd you only have $4. How muh would you hv eleft. So you would hve 4 times the number of bgs but since we don't knw the number, we'll use letter known s variable. IN this case, e'l use "x". So it's 1.12x=4, so divide 4 by 1.12 and we get x=3.57, but have to round down due to number of bags, so you get x is approximately 3. x=3. So that's a basic form of algebra.
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Relational Algebra - Example
yes. to understand the higher maths you need pre algebra
There are lots of good introductory calculus books. Please note that to understand them, you need to have a good mastery of high school math, especially algebra.
I am not sure
Algebra is basically arithmetic with variable expressions, trigonometry comes after algebra because you need algebra to understand sine, cosine, tangent, as well as secant, cosecant, and cotangent.