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the index
perpendicular lines, 6, 106
Pi symbol (π), 214–216
pizza example, 206–233
comparing pizza sizes and prices, 223–232
comparing slice sizes and prices, 207–211
pepperoni crust prices, 212–221
polygons, 275
problems, methods of solving, 108–112, 116–118
proportional shapes, 73–76
Pythagoras/Pythagorus (see Pythagorean Theorem)
Pythagorean Theorem, 131–135, 138, 141–146,
148, 194
Pythagorean triples (Super Triangles), 146, 148
Q
corner angles of, adding, 34–37, 46
types of, 268–270
R
range of speakers, 170–172
ratios, 73, 92–98
rectangles, 156–162, 269, 272
regular polygons, 275–276
apothem of, 306, 308, 312, 318
area of, 280–282, 284, 302–310, 312, 318
circles as, 298, 312
circumradius of, 306, 308, 312, 318
comparing to circles, 303–306
congruent triangles in, 302
internal angles in, 313–314, 318
perimeter of, 277, 284, 310–312, 318
side lengths of, 315–316
rhombuses, 268, 270, 272
right triangles, 110–115, 119–131
integer vs. non-integer solutions for, 136
Pythagorean Theorem and, 131–135, 138, 141–146, 148
right angles, 6, 106
markings for, 6, 46
pairs of, 11, 14
rock festival example, 150–201
area of ﬁeld shapes, 156–168
fence prices for ﬁeld shapes, 151–154
location for drinks stall, 181–189
screen for obstructed view area, 190–200
rope swing example, 139–147
S
scalene triangles, 194–198
scaling shapes, 70–76, 121–122