## SDS Topics in Alphabetical Order

Stella NumberTopic
2130absolute value (cf. 2285)
2590absolute value function (see 2130, 2285)
5400achievement level 1
5500achievement level 2
2460ages
2465ages, complicated problems
3232altitudes of triangles
3690analytic geometry: circles (cf.2780)
3680analytic geometry: lines (cf. 2770)
3700analytic geometry: spheres (cf. 2800)
3695analytic problems in 3-dimensions
3685analytic triangles
3233angle bisection of triangles
1420approximation
3510arcs and angles
2447area (cf. 3410-3450)
3410area (cf. 3420-3460)
3405area and perimeter
3460area in coordinate plane
3450area, surface
2452arithmetic means, algebraic
1430arithmetic means, numerical (cf. 2452, 2860)
1490bargains (cf. linear programming 2220)
2380binomial coefficients
2390binomial expansion
1480calculator pattern discovery
1465calculator, broken key
1460calculator, use of
1470calculator: heavy calculations
1192calendars
3250Ceva's theorem
3520chords and angles
3500circles
2788circles (equations)
3440circles, area of
3550circumference
3572circumscribed circles
3322circumscribed polygons
4410combinations
4300combinatorics
3071complementary angles
2022complex number operations
2021complex numbers
2610composite functions
3625cones
2780conic sections
1030connecting dots
1307consecutive integers
3800constructions
3330convexity
2760coord. geom: slope, dist, midpt. &c.
2750coordinate plane
2790coordinate space: 3-d analyt. geom.
4080cos(x+ y)
1340counting (how many)
1009counting shapes in shapes
1342counting: how many ways
1120cross-number puzzles
1160crypt-arithmetic
3610cubes
2680cubics (cf. 2260)
2260cubics & higher degrees (cf.2680)
3618cylinders
1350decimal arithmetic, incl. \$ (cf. 1170, 2480)
2840DeMoivre's theorem
2365determinants
1810dimensional analysis
1690diophantine equations
2762distance formula
2440distance, rate, time
2442distances upstream/downstream
1640divisibility
2542domain
2540domain, range
2784ellipses
2285equations with absolute value (cf. 2130)
2300equations, exponential
2630equations, functional
2200equations, linear & rational
2745equations, logarithmic
2288equations, misc.
2640equations, polynomial
2310equations, systems of, linear
2340equations, systems of, misc.
2320equations, systems of, non-linear
2330equations, systems of, trig.
2315equations, systems, 3 or more variables
2305exponential growth
2100exponents, algebraic expr. with (cf. 1410)
1410exponents, arithmetic using (cf. 2100)
1412exponents, laws of
2580f(x) notation
1630factor, greatest common
1680factorials
2122factoring, cubics and higher
2120factoring, misc.
1610factors
1250false coins (2-pan scales)
2890Fibonacci numbers (cf. 2385)
1900flow charts
2070formulas, inventing (alg. expr.) (cf. 2530, 2580)
3004four-color problem
1365fractions (numerical)
2160fractions, complex
2162fractions, continued
1367fractions, equivalent
2710functions, exponential
2585functions, graphs of
2530functions, informal (cf. 2580, 2630, 2070)
4120functions, inverse trigonometric
2615functions, recursive
1093geoblocks
2454geometric means, algebraic
1440geometric means, num. (cf. 2454, 2870, 3590)
1020geometry, informal
3000geometry, informal (for geom. class) (cf. 1020)
3050geometry: early (segments, angles)
1070grabbers, trick quest, cheap shots
2810graphing techniques symm, asymp.
2600greatest integer function
1260handshake problem
2456harmonic means, algebraic
1450harmonic means, num. (cf. 2456, 2880)
1210hats: who has which hat on
1333higher powers & roots
2786hyperbolas
2020i
2370identities, algebraic
4100identities, trigonometric
1232incomplete information charts
2950induction
2211inequalities w/ abs. value
3210inequalities, geometric
2210inequalities, linear, incl. abs. values
2350inequalities, misc.
3320inscribed & circumscr. polyg. (cf.3570)
3570inscribed & circumscribed circles
3571inscribed circles
3321inscribed polygons
1385integer operations
1380integers
2620inverse functions
1390irrationals
1245Jeep problems
3687lattice points
4160law of cosines
4140law of sines
1280liars/truthtellers
2980limits
2090linear expressions
2220linear programming (cf. bargains 1490)
2770lines on coordinate plane (cf. 3680)
1510living life (1/8 as boy , 1/4 as..)
3850locus
2735log to exp. form & v.v.
2740logarithms: change of base
2730logarithms: manipulations
1180logic, analysis (classic brainteasers)
3750logic, formal
1130magic squares
2361matrices
2360matrices, determinants
2450means arith, geom, harm (cf. 2860-80)
3590means, geometric, in geometry (cf. 1440, 2870)
1800measurement, elementary
3230median, alt, angle bis, &c.
3231medians of triangles
3240Menelaus's theorem
3235midline of triangles
2763midpoint formula
1095missing faces of solids
1740modular arithmetic
2480money (cf. 1170, 1350)
1170money/coins: change; value (cf. 1350, 2480)
1650multiples
1660multiples, least common
1320multiplying and dividing (incl +, -) (cf. 1140)
1007networks, tracing
1700number bases
1100number patterns (cf. 2530, 2850)
1730number theory proofs
1110numbers in patterns, arranging
1300numerals, writing; digits (pl. value, cf. 1720)
2050numerical expressions: order of op.
1305odd-even numbers
2040operations, prop. of ("new math")
1080optical illusions
2720optimization
3220optimization, geometric
3390other polygons
1140pails and measuring
2782parabolas
3270parallel &perp. lines & planes
3260parallel and perpendicular lines
3261parallel lines
3350parallelograms
1027partitions
2385Pascal's triangle (cf. 2890)
1008pattern completion (visual)
3601patterns of solids
1050pennies, arranging
2412percent from Henle
2410percent, algebraic (cf. 1370)
1370percent, numerical (cf. 2410, 2290)
3400perimeter
2445perimeter & area & volume
4420permutations
3234perpendicular bisection of sides of triangles
3262perpendicular lines
1560pickanumba
1270pigeonhole principle
3060points in plane
3065points in space
2820polar coordinates
3300polygons
3310polygons, angles of
3420polygons, area of
3305polygons, regular
2110polynomial manipulation
2660polynomials, complex &/or real rts.
2650polynomials, real roots of
3560power of a point
1334powers, higher
2485pre-calc text alg. probs.
1620prime factorization
1600prime numbers
4400probability (cf. 1340)
2500probs. misc. (consecutive integers)
2990probs. w/ (seemingly) insuff. info
2490probs. w/ ans. a range of values
2470profit and loss
3754proofs, algebraic
3752proofs, geometric
3755proofs, phony
2290proportions (cf. 2560)
3620pyramids
3475Pythagoras in 3 dimensions
3470Pythagorean theorem
2544range
1200rank ordering
2420rates
2140ratio
2250rational equations
2150rational expressions
2152rational expressions, evaluating
1368rational number arithmetic
1360rational numbers
1400rationalization
2010real number system, structure
2190reciprocals
3360rectangles
3615rectangular prisms
3721reflections
3720reflections, rotations, translations
2520relations
2670remainder theorem
1322remainders
3370rhombi
1240river crossing
1335roots, higher
3722rotations
5000SAT for algebra 1
5300SAT for algebra/trig and beyond
5200SAT for geometry
1255scales, two-pan
3540secants
3602sections of solids
3080separation (regions, counting)
2701sequences
2850sequences (progressions)
2700sequences & series (cf. 2860-80)
2860sequences, arithmetic (cf. 1430)
2870sequences, geometric (cf. 1440, 3590)
2880sequences, harmonic (cf. 1450)
2702series
2900series
2030sets (cf. 1290)
3580similarity (proportion)
4060sin(x + y)
2761slope of line
3600solids
1230sorting, misc.: which is which
3640spheres
2800spheres (analytical)
1332square roots
3380squares
1331squares (cf. 1670)
1330squares & square roots (cf.1670)
1710sums of integers
3070suppl., compl. angles
3072supplementary angles
2080symbol manipulation (cf. 2110)
3530tangents
1026tesselation
3630tetrahedrons
3140three-dimen. prob. w/ cong. triang.
1090three-dimen. problems, elem.
1190time, incl. calendars
1060toothpicks
2407translating words to diagrams
2405translating words to equations
3723translations
3340trapezoids
1040trees in rows, planting
3100triangles and congruence
3150triangles, elementary: general
3170triangles, equilateral
3160triangles, isosceles
3180triangles, right
3200triangles, right isosceles
3190triangles, right, 30-60
4040trigonometry functions, graphs of
4340trigonometry on polyhedra, numer.
4050trigonometry on triangles
4200trigonometry probs, juicy numerical
4000trigonometry, basics
4220trigonometry, spherical / 3-d probs
1094two-dimen. versions of 3-d prob.
2430valves
2560variation, direct (cf. 2290)
2570variation, inverse
2970vectors
1290venn diagrams (cf. 2030)
1000visual problems
1015visual sequences, 2-dimen.
1010visual sequences, linear
3650volume
2448volume (cf. 3650)
1520wages
2408word prob. w/ diagrams
1540word problems, hard but (typical)
1530word problems, whole #'s (typical)
1550word problems: soft-core algebra