1350 | decimal arithmetic, incl. $ (cf. 1170, 2480) |
1360 | rational numbers |
1365 | fractions (numerical) |
1367 | fractions, equivalent |
1368 | rational number arithmetic |
1370 | percent, numerical (cf. 2410, 2290) |
1380 | integers |
1385 | integer operations |
1390 | irrationals |
1395 | radical manipulation |
1400 | rationalization |
1410 | exponents, arithmetic using (cf. 2100) |
1412 | exponents, laws of |
1420 | approximation |
1430 | arithmetic means, numerical (cf. 2452, 2860) |
1440 | geometric means, num. (cf. 2454, 2870, 3590) |
1450 | harmonic means, num. (cf. 2456, 2880) |
1490 | bargains (cf. linear programming 2220) |
1510 | living life (1/8 as boy , 1/4 as..) |
1520 | wages |
1530 | word problems, whole #'s (typical) |
1540 | word problems, hard but (typical) |
1550 | word problems: soft-core algebra |
1560 | pickanumba |
1600 | prime numbers |
1610 | factors |
1620 | prime factorization |
1630 | factor, greatest common |
1640 | divisibility |
1650 | multiples |
1660 | multiples, least common |
1680 | factorials |
1690 | diophantine equations |
1700 | number bases |
1710 | sums of integers |
1720 | place value, prob about (cf.1300) |
1730 | number theory proofs |
1740 | modular arithmetic |
1800 | measurement, elementary |
1810 | dimensional analysis |
1900 | flow charts |
2010 | real number system, structure |
2030 | sets (cf. 1290) |
2040 | operations, prop. of ("new math") |
2050 | numerical expressions: order of op. |
2070 | formulas, inventing (alg. expr.) (cf. 2530, 2580) |
2080 | symbol manipulation (cf. 2110) |
2090 | linear expressions |
2100 | exponents, algebraic expr. with (cf. 1410) |
2110 | polynomial manipulation |
2120 | factoring, misc. |
2121 | factoring, quadratics |
2122 | factoring, cubics and higher |
2130 | absolute value (cf. 2285) |
2140 | ratio |
2150 | rational expressions |
2152 | rational expressions, evaluating |
2160 | fractions, complex |
2162 | fractions, continued |
2180 | radicals, roots |
2190 | reciprocals |
2200 | equations, linear & rational |
2210 | inequalities, linear, incl. abs. values |
2211 | inequalities w/ abs. value |
2220 | linear programming (cf. bargains 1490) |
2230 | equations, quadratic |
2232 | functions, quadratic |
2238 | equations, quadratic, non-routine |
2240 | factoring: quadratic equations |
2250 | inequalities, quadratic |
2250 | rational equations |
2260 | cubics & higher degrees (cf.2680) |
2270 | equations involving radicals |
2285 | equations with absolute value (cf. 2130) |
2286 | equations w/ radicals |
2288 | equations, misc. |
2290 | proportions (cf. 2560) |
2300 | equations, exponential |
2305 | exponential growth |
2310 | equations, systems of, linear |
2315 | equations, systems, 3 or more variables |
2320 | equations, systems of, non-linear |
2330 | equations, systems of, trig. |
2340 | equations, systems of, misc. |
2350 | inequalities, misc. |
2360 | matrices, determinants |
2361 | matrices |
2365 | determinants |
2370 | identities, algebraic |
2380 | binomial coefficients |
2385 | Pascal's triangle (cf. 2890) |
2390 | binomial expansion |
2410 | percent, algebraic (cf. 1370) |
2412 | percent from Henle |
2420 | rates |
2430 | valves |
2440 | distance, rate, time |
2442 | distances upstream/downstream |
2445 | perimeter & area & volume |
2447 | area (cf. 3410-3450) |
2448 | volume (cf. 3650) |
2450 | means arith, geom, harm (cf. 2860-80) |
2452 | arithmetic means, algebraic |
2454 | geometric means, algebraic |
2456 | harmonic means, algebraic |
2460 | ages |
2465 | ages, complicated problems |
2470 | profit and loss |
2480 | money (cf. 1170, 1350) |
2485 | pre-calc text alg. probs. |
2490 | probs. w/ ans. a range of values |
2500 | probs. misc. (consecutive integers) |
2530 | functions, informal (cf. 2580, 2630, 2070) |
2540 | domain, range |
2542 | domain |
2544 | range |
2560 | variation, direct (cf. 2290) |
2570 | variation, inverse |
2580 | f(x) notation |
2585 | functions, graphs of |
2590 | absolute value function (cf. 2130, 2285) |
2600 | greatest integer function |
2610 | composite functions |
2615 | functions, recursive |
2620 | inverse functions |
2630 | equations, functional |
2640 | equations, polynomial |
2650 | polynomials, real roots of |
2660 | polynomials, complex &/or real rts. |
2670 | remainder theorem |
2680 | cubics (cf. 2260) |
2700 | sequences & series (cf. 2860-80) |
2701 | sequences |
2702 | series |
2710 | functions, exponential |
2720 | optimization |
2750 | coordinate plane |
2760 | coord. geom: slope, dist, midpt. &c. |
2761 | slope of line |
2762 | distance formula |
2763 | midpoint formula |
2770 | lines on coordinate plane (cf. 3680) |
2780 | conic sections |
2782 | parabolas |
2784 | ellipses |
2786 | hyperbolas |
2788 | circles (equations) |
2790 | coordinate space: 3-d analyt. geom. |
2800 | spheres (analytical) |
2810 | graphing techniques symm, asymp. |
2820 | polar coordinates |
2840 | DeMoivre's theorem |
2850 | sequences (progressions) |
2860 | sequences, arithmetic (cf. 1430) |
2870 | sequences, geometric (cf. 1440, 3590) |
2880 | sequences, harmonic (cf. 1450) |
2890 | Fibonacci numbers (cf. 2385) |
2900 | series |
2950 | induction |
2970 | vectors |
2980 | limits |
2990 | probs. w/ (seemingly) insuff. info |
3100 | triangles and congruence |
3140 | three-dimen. prob. w/ cong. triang. |
3150 | triangles, elementary: general |
3155 | triangles, advanced, general |
3160 | triangles, isosceles |
3170 | triangles, equilateral |
3180 | triangles, right |
3190 | triangles, right, 30-60 |
3200 | triangles, right isosceles |
3210 | inequalities, geometric |
3220 | optimization, geometric |
3230 | median, alt, angle bis, &c. |
3231 | medians of triangles |
3232 | altitudes of triangles |
3233 | angle bisection of triangles |
3234 | perpendicular bisection of sides of triangles |
3235 | midline of triangles |
3240 | Menelaus's theorem |
3250 | Ceva's theorem |
3260 | parallel and perpendicular lines |
3261 | parallel lines |
3262 | perpendicular lines |
3270 | parallel &perp. lines & planes |
4000 | trigonometry, basics |
4040 | trigonometry functions, graphs of |
4050 | trigonometry on triangles |
4060 | sin(x + y) |
4080 | cos(x + y) |
4100 | identities, trigonometric |
4120 | functions, inverse trigonometric |
4140 | law of sines |
4160 | law of cosines |
4180 | radians |
4200 | trigonometry probs, juicy numerical |
4220 | trigonometry, spherical / 3-d probs |
4300 | combinatorics |
4340 | trigonometry on polyhedra, numer. |