Math Makes Sense | Visual Math: See How

Here is a quick guide to seeing the logic behind the numbers. 1. Multiplication as Area

Pictures are less intimidating than dense formulas. Visual Math: See How Math Makes Sense

cover the exact same amount of space. This makes "equivalent fractions" instantly intuitive. 3. Algebra as a Balanced Scale Equations are simply a search for balance. Imagine a playground seesaw. If you have on one side and on the other, the scale is level. The Logic: To keep it level while finding , you must take Here is a quick guide to seeing the logic behind the numbers

If you can "see" the problem, you can often find a shortcut that isn't obvious in the text. cover the exact same amount of space

Draw a right triangle. Build a square off each of the three sides.

Fractions represent parts of a single unit, usually a circle (pie) or a bar (chocolate). is one half of a circle; is two quarters. The Logic: By looking at the shapes, you can see that

The physical area of the two smaller squares, when added together, perfectly fills the area of the largest square on the longest side (the hypotenuse). 5. Calculus as Slicing and Zooming Calculus is the math of change, visualized through motion.