I am redesigning a high-school Algebra course so as to make it more meaningful to the students. To that extent, I am trying to gather as many examples throughout our world of linear relationships. I was hoping to tap into the collective wisdom of this group to come up with as long a list as possible of linear relationships that actually exist (not contrived stuff). I once knew a teacher who had a plant that grew at a linear rate. I don't know the type of plant, however. And there are so many other linear relationships around us. I don't want everything they see be about a car's distance from home or the amount of money they saved. What do you know of that exhibits a linear relationship? I'd love to have a long list for students so that they see that studying linear relationships in Algebra really does matter. Thanks for any help in making this course more worth while to the students!
But Sir, what is x? Teaching students algebra for the first time. They keep wanting to put values in for x, and write that down. E.g. x + x = . Becomes 1 + 1 = 2, in their books. Whereas I want x + x = 2x. Does anyone have any strategies, or techniques to overcome this? [more inside]
I want to learn intermediate/advanced algebra and on to trig/calculus. Are there any good books / software / resources / websites that will help me with this, aside from the regular run of dry textbooks? [more inside]
Please help my deaf mother-in-law learn Algebra. [more inside]