Teaching integration to kids I have been selected by my college to teach integration to kids in the age group of 8-12. I am an engineering major who has finished Calculus 1 and 2 but I have no idea how to teach integration from scratch to kids that small and at the same time make it fun for them. I am asked to create a lesson plan, worksheets, manipulatives etc.
Any help is appreciated. Parents or teachers, your ideas will really come handy.

Define integration as area under a curve.
Use examples to approximate well-known areas (start with line, e.g. area of trapezoid, and make it more complex like semi-circle or half-ellipse or parabola) with rectangles and see the numbers getting closer to what the area is.
You cannot teach analytic integration because they won't be able to find the anti-derivative, so stay in geometric approximations. Not sure you can do much else at that age.
