Code |
Mathworld |
Wordnet |
Wikipedia |
Description of code |
000 |
MW |
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EXCEPTION -- No Appropriate Code |
100 |
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NUMBER SENSE /Properties/ Relationships |
101 |
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Place value |
102 |
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WP |
Whole numbers and Integers |
103 |
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WP |
Operations |
104 |
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Fractions |
105 |
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Decimals |
106 |
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Percents |
107 |
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Ratio and proportion |
108 |
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Patterns |
109 |
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Real and/or Rational numbers |
110 |
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Exponents and scientific notation |
111 |
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Factors, multiples, and divisibility |
112 |
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Odd/even/prime/composite/square numbers |
113 |
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Estimation |
114 |
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WP |
Number Comparisons (order, magnitude, relative size inverse, opposites, equivalent forms, scale or number line) |
115 |
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Order of operations |
116 |
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Computational Algorithms |
117 |
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Relationships between operations |
118 |
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Number Theory (e.g. base-ten and non-base-ten systems) |
119 |
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Mathematical properties (e.g., distributive property) |
190 |
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OTHER NUMBER SENSE |
200 |
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OPERATIONS |
201 |
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WP |
Add/subtract whole numbers and integers |
202 |
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Multiply whole numbers and integers |
203 |
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WP |
Divide whole numbers and integers |
204 |
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WP |
Combinations of operations on whole numbers or integers |
205 |
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Equivalent and non-equivalent fractions |
206 |
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Add/subtract fractions |
207 |
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Multiply fractions |
208 |
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Divide fractions |
209 |
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Combinations of operations on fractions |
210 |
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Ratio and proportion |
211 |
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Representations of fractions |
212 |
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Equivalence of decimals, fractions, and percents |
213 |
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Add/ subtract decimals |
214 |
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Multiply decimals |
215 |
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Divide decimals |
216 |
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WP |
Combinations of operations on decimals |
217 |
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Computing with percents |
218 |
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Computing with exponents and radicals |
290 |
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OTHER OPERATIONS |
300 |
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MEASUREMENT |
301 |
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Use of measuring instruments |
302 |
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WP |
Theory (arbitrary, standard units and unit size) |
303 |
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Conversions |
304 |
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Metric (SI) system |
305 |
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Length and perimeter |
306 |
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Area and volume |
307 |
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Surface Area |
308 |
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Direction, Location, Navigation |
309 |
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Angles |
310 |
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Circles (e.g., pi, radius, area) |
311 |
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Mass (weight) |
312 |
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Time and temperature |
313 |
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Money |
314 |
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Derived measures (e.g., rate and speed) |
315 |
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Calendar |
316 |
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Accuracy and Precision |
390 |
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WP |
OTHER MEASUREMENT |
400 |
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WP |
CONSUMER APPLICATIONS |
401 |
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Simple interest |
402 |
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Compound interest |
403 |
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Rates (e.g., discount and commission) |
404 |
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Spreadsheets |
490 |
MW |
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WP |
OTHER CONSUMER APPLICATIONS |
500 |
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WP |
BASIC ALGEBRA |
501 |
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WP |
Absolute value |
502 |
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Use of variables |
503 |
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Evaluation of formulas, expressions, and equations |
504 |
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One-step equations |
505 |
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Coordinate Planes |
506 |
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Patterns |
507 |
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Multi-step equations |
508 |
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Inequalities |
509 |
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WP |
Linear and non-linear relations |
510 |
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Rate of change/slope/line |
511 |
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Operations on polynomials |
512 |
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Factoring |
513 |
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Square roots and radicals |
514 |
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Operations on radicals |
515 |
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Rational expressions |
516 |
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Multiple representations |
590 |
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OTHER BASIC ALGEBRA |
600 |
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ADVANCED ALGEBRA |
601 |
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Quadratic equations |
602 |
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Systems of equations |
603 |
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Systems of inequalities |
604 |
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Compound Inequalities |
605 |
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Matrices and determinants |
606 |
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Conic sections |
607 |
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WP |
Rational, negative exponents/radicals |
608 |
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Rules for exponents |
609 |
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WP |
Complex numbers |
610 |
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Binomial theorem |
611 |
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WP |
Factor/remainder theorem |
612 |
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WP |
Field properties of real number system |
613 |
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WP |
Multiple representations |
690 |
MW |
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WP |
OTHER ADVANCED ALGEBRA |
700 |
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WN |
WP |
GEOMETRIC CONCEPTS |
701 |
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WP |
Basic terminology |
702 |
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WP |
Points, lines, rays, segments, and vectors |
703 |
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WP |
Patterns |
704 |
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Congruence |
705 |
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Similarity |
706 |
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WP |
Parallels |
707 |
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Triangles |
708 |
MW |
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Quadrilaterals |
709 |
MW |
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Circles |
710 |
MW |
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Angles |
711 |
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Polygons |
712 |
MW |
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Polyhedra |
713 |
MW |
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WP |
Models |
714 |
MW |
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WP |
3-D relationships |
715 |
MW |
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WP |
Symmetry |
716 |
MW |
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Transformations (e.g., flips or turns) |
717 |
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Pythagorean Theorem |
790 |
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OTHER GEOMETRIC CONCEPTS |
800 |
MW |
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ADVANCED GEOMETRY |
801 |
MW |
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WP |
Logic, reasoning, and proofs |
802 |
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WP |
Loci |
803 |
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WP |
Spheres, cones, and cylinders |
804 |
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WP |
Coordinate Geometry |
805 |
MW |
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WP |
Vectors |
806 |
MW |
WN |
WP |
Analytic Geometry |
807 |
MW |
WN |
WP |
Non-Euclidean Geometry |
808 |
MW |
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WP |
Topology |
890 |
MW |
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WP |
OTHER ADVANCED GEOMETRY |
900 |
MW |
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WP |
DATA DISPLAYS |
901 |
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WP |
Summarize data in a table or graph |
902 |
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WP |
Bar graph and histograms |
903 |
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WN |
WP |
Pie charts and circle graphs |
904 |
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WN |
WP |
Pictographs |
905 |
MW |
WN |
WP |
Line graphs |
906 |
MW |
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WP |
Stem and Leaf plots |
907 |
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WN |
WP |
Scatter plots |
908 |
MW |
WN |
WP |
Box plots |
909 |
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WN |
WP |
Line plots |
910 |
MW |
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WP |
Classification and Venn diagrams |
911 |
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WP |
Tree diagrams |
990 |
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WP |
OTHER DATA DISPLAYS |
1000 |
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STATISTICS |
1001 |
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WP |
Mean, median, and mode |
1002 |
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Variability, standard deviation, and range |
1003 |
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Line of best fit |
1004 |
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WP |
Quartiles and percentiles |
1005 |
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Bivariate distribution |
1006 |
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Confidence intervals |
1007 |
MW |
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Correlation |
1008 |
MW |
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WP |
Hypothesis testing |
1009 |
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Chi Square |
1010 |
MW |
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WP |
Data Transformation |
1011 |
MW |
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Central Limit Theorem |
1090 |
MW |
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WP |
OTHER STATISTICS |
1100 |
MW |
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PROBABILITY |
1101 |
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WP |
Simple probability |
1102 |
MW |
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WP |
Compound probability |
1103 |
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Conditional probability |
1104 |
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Empirical probability |
1105 |
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WP |
Sampling and Sample spaces |
1106 |
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WP |
Independent vs. dependent events |
1107 |
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Expected value |
1108 |
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WP |
Binomial distribution |
1109 |
MW |
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WP |
Normal curve |
1190 |
MW |
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WP |
OTHER PROBABILITY |
1200 |
MW |
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WP |
ANALYSIS |
1201 |
MW |
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WP |
Sequences and series |
1202 |
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WP |
Limits |
1203 |
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WP |
Continuity |
1204 |
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WP |
Rates of change |
1205 |
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WP |
Maxima, Minima, and Range |
1206 |
MW |
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WP |
Differentiation |
1207 |
MW |
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WP |
Integration |
1290 |
MW |
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WP |
OTHER ANALYSIS |
1300 |
MW |
WN |
WP |
TRIGONOMETRY |
1301 |
MW |
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WP |
Basic ratios |
1302 |
MW |
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WP |
Radian measure |
1303 |
MW |
WN |
WP |
Right triangle trigonometry |
1304 |
MW |
WN |
WP |
Law of Sines and Cosines |
1305 |
MW |
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WP |
Identities |
1306 |
MW |
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WP |
Trigonometric equations |
1307 |
MW |
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WP |
Polar coordinates |
1308 |
MW |
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WP |
Periodicity |
1309 |
MW |
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Amplitude |
1390 |
MW |
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WP |
OTHER TRIGONOMETRY |
1400 |
MW |
WN |
WP |
SPECIAL TOPICS |
1401 |
MW |
WN |
WP |
Sets |
1402 |
MW |
WN |
WP |
Logic |
1403 |
MW |
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WP |
Mathematical induction |
1404 |
MW |
WN |
WP |
Linear programming |
1405 |
MW |
WN |
WP |
Networks |
1406 |
MW |
WN |
WP |
Iteration and recursion |
1407 |
MW |
WN |
WP |
Permutation combinations |
1408 |
MW |
WN |
WP |
Simulations |
1409 |
MW |
WN |
WP |
Fractals |
1490 |
MW |
WN |
WP |
OTHER SPECIAL TOPICS |
1500 |
MW |
WN |
WP |
FUNCTIONS |
1501 |
MW |
WN |
WP |
Notation |
1502 |
MW |
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WP |
Relations |
1503 |
MW |
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WP |
Linear |
1504 |
MW |
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WP |
Quadratic |
1505 |
MW |
WN |
WP |
Polynomial |
1506 |
MW |
WN |
WP |
Rational |
1507 |
MW |
WN |
WP |
Logarithmic |
1508 |
MW |
WN |
WP |
Exponential |
1509 |
MW |
WN |
WP |
Trigonometric and circular |
1510 |
MW |
WN |
WP |
Inverse |
1511 |
MW |
WN |
WP |
Composition |
1512 |
MW |
WN |
WP |
*transformations |
1590 |
MW |
WN |
WP |
OTHER FUNCTIONS |
1600 |
MW |
WN |
WP |
INSTRUCTIONAL TECHNOLOGY |
1601 |
MW |
WN |
WP |
Use of calculators |
1602 |
MW |
WN |
WP |
Use of graphing calculators |
1603 |
MW |
WN |
WP |
Use of computers and internet |
1604 |
MW |
WN |
WP |
Computer programming |
1605 |
MW |
WN |
WP |
Use of Spreadsheets |
1690 |
MW |
WN |
WP |
OTHER INSTRUCTIONAL TECHNOLOGY |
9999 |
MW |
WN |
WP |
EXCEPTION -- Out of Topic Area |
K |
MW |
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WP |
Knowing |
K1 |
MW |
WN |
WP |
Recall |
K2 |
MW |
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WP |
Recognize |
K3 |
MW |
WN |
WP |
Compute |
K4 |
MW |
WN |
WP |
Retrieve |
K5 |
MW |
WN |
WP |
*Recount |
A |
MW |
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WP |
Applying |
A1 |
MW |
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WP |
Select |
A2 |
MW |
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WP |
Represent |
A3 |
MW |
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WP |
Model |
A4 |
RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="MW (this topic does not yet exist; you can create it)">MW |
RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WN (this topic does not yet exist; you can create it)">WN |
RoutineProblems)?topicparent=ITO.MathTaxonomy;nowysiwyg=0" rel="nofollow" title="WP (this topic does not yet exist; you can create it)">WP |
Solve (Routine Problems) |
R |
MW |
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Reasoning |
R1 |
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Analyze |
R2 |
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WP |
Generalize |
R3 |
MW |
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Synthesize/Integrate |
R4 |
MW |
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WP |
Justify |
R5 |
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Solve (Non-routine Problems) |