Concept explainers
Here we celebrate the power of algebra as a powerful way of finding unknown quantities by naming them, of expressing infinitely many relationships and connections clearly and succinctly, and of uncovering pattern and structure.
Not another box of knots?! Yes, your math instructor has yet another box of knots. This time, the number of unknots is x, the number of trefoil knots is y, the number of figure-eight knots is z, the number of square knots is w, and the number of granny knots is v. After carefully studying the figures of these knots in the text, write an expression that represents the total number of crossing that occur in all of the knots in the box when they are displayed like the figures in the text.
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The Heart of Mathematics: An Invitation to Effective Thinking
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