Download SEC K-12 Mathematics Taxonomy

SEC K-12 Mathematics Taxonomy
100 Nbr. sense /Properties/ Relationships
900 Data Displays
200 Operations
1000 Statistics
300 Measurement
1100 Probability
400 Consumer Applications
1200 Analysis
500 Basic Algebra
1300 Trigonometry
600 Advanced Algebra
1400 Special Topics
700 Geometric Concepts
1500 Functions
800 Advanced Geometry
1600 Instructional Technology
Other Coding Conventions
Topics:
0
All
999 Out of Subject Area
Cognitive Demands:
B
Memorize
C
Perform Procedures
D
Demonstrate Understanding
E
Conjecture/Analyze
F
Solve Non-Routine Problems
Z
Non-Specific Cognitive Demand
K-12 Mathematics Taxonomy
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
190
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
290
Nbr. sense /Properties/ Relationships
Place value
Whole numbers and Integers
Operations
Fractions
Decimals
Percents
Ratio and proportion
Patterns
Real and/or Rational numbers
Exponents and scientific notation
Factors, multiples, and divisibility
Odd/even/prime/composite/square numbers
Estimation
Number Comparisons (order, magnitude, relative size,
inverse, opposites, equivalent forms, scale or number
line)
Order of operations
Computational Algorithms
Relationships between operations
Number Theory (e.g. base-ten and non-base-ten
systems)
Mathematical properties (e.g., distributive property)
Other
Operations
Add/subtract whole numbers and integers
Multiply whole numbers and integers
Divide whole numbers and integers
Combinations of operations on whole numbers or
integers
Equivalent and non-equivalent fractions
Add/subtract fractions
Multiply fractions
Divide fractions
Combinations of operations on fractions
Ratio and proportion
Representations of fractions
Equivalence of decimals, fractions, and percents
Add/ subtract decimals
Multiply decimals
Divide decimals
Combinations of operations on decimals
Computing with percents
Computing with exponents and radicals
Other
Date Revised 8/29/07
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
390
400
401
402
403
404
490
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
590
Measurement
Use of measuring instruments
Theory (arbitrary, standard units and unit size)
Conversions
Metric (SI) system
Length and perimeter
Area and volume
Surface Area
Direction, Location, Navigation
Angles
Circles (e.g., pi, radius, area)
Mass (weight)
Time and temperature
Money
Derived measures (e.g., rate and speed)
Calendar
Accuracy and Precision
Other
Consumer Applications
Simple interest
Compound interest
Rates (e.g., discount and commission)
Spreadsheets
Other
Basic Algebra
Absolute value
Use of variables
Evaluation of formulas, expressions, and equations
One-step equations
Coordinate Planes
Patterns
Multi-step equations
Inequalities
Linear and non-linear relations
Rate of change/slope/line
Operations on polynomials
Factoring
Square roots and radicals
Operations on radicals
Rational expressions
Multiple representations
Other
1 of 3
K-12 Mathematics Taxonomy
600
601
602
603
604
605
606
607
608
609
610
611
612
613
690
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
790
800
801
802
803
804
805
806
807
808
890
Advanced Algebra
Quadratic equations
Systems of equations
Systems of inequalities
Compound Inequalities
Matrices and determinants
Conic sections
Rational, negative exponents/radicals
Rules for exponents
Complex numbers
Binomial theorem
Factor/remainder theorem
Field properties of real number system
Multiple representations
Other
Geometric Concepts
Basic terminology
Points, lines, rays, segments, and vectors
Patterns
Congruence
Similarity
Parallels
Triangles
Quadrilaterals
Circles
Angles
Polygons
Polyhedra
Models
3-D relationships
Symmetry
Transformations (e.g., flips or turns)
Pythagorean Theorem
Other
Advanced Geometry
Logic, reasoning, and proofs
Loci
Spheres, cones, and cylinders
Coordinate Geometry
Vectors
Analytic Geometry
Non-Euclidean Geometry
Topology
Other
Date Revised 8/29/07
900
901
902
903
904
905
906
907
908
909
910
911
990
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1090
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1190
1200
1201
1202
1203
1204
1205
1206
1207
1290
Data Displays
Summarize data in a table or graph
Bar graph and histograms
Pie charts and circle graphs
Pictographs
Line graphs
Stem and Leaf plots
Scatter plots
Box plots
Line plots
Classification and Venn diagrams
Tree diagrams
Other
Statistics
Mean, median, and mode
Variability, standard deviation, and range
Line of best fit
Quartiles and percentiles
Bivariate distribution
Confidence intervals
Correlation
Hypothesis testing
Chi Square
Data Transformation
Central Limit Theorem
Other
Probability
Simple probability
Compound probability
Conditional probability
Empirical probability
Sampling and Sample spaces
Independent vs. dependent events
Expected value
Binomial distribution
Normal curve
Other
Analysis
Sequences and series
Limits
Continuity
Rates of change
Maxima, Minima, and Range
Differentiation
Integration
Other
2 of 3
K-12 Mathematics Taxonomy
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1390
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1490
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1590
1600
1601
1602
1603
1604
1605
1690
Trigonometry
Basic ratios
Radian measure
Right triangle trigonometry
Law of Sines and Cosines
Identities
Trigonometric equations
Polar coordinates
Periodicity
Amplitude
Other
Special Topics
Sets
Logic
Mathematical induction
Linear programming
Networks
Iteration and recursion
Permutation combinations
Simulations
Fractals
Other
Functions
Notation
Relations
Linear
Quadratic
Polynomial
Rational
Logarithmic
Exponential
Trigonometric and circular
Inverse
Composition
Other
Instructional Technology
Use of calculators
Use of graphing calculators
Use of computers and internet
Computer programming
Use of Spreadsheets
Other
Date Revised 8/29/07
3 of 3
Cognitive Demand Categories for Mathematics
B
C
D
E
F
Memorize Facts,
Definitions, Formulas
Perform Procedures
Demonstrate
Understanding of
Mathematical Ideas
Conjecture, Analyze,
Generalize, Prove
Solve Non-Routine
Problems / Make
Connections
Recite basic mathematical Use numbers to count,
facts
order, denote
Communicate
mathematical ideas
Determine the truth of a
mathematical pattern or
proposition
Apply and adapt a variety of
appropriate strategies to
solve non-routine problems
Recall mathematics terms
and definitions
Do computational
procedures or algorithms
Use representations to
model mathematical ideas
Write formal or informal
proofs
Apply mathematics in
contexts outside of
mathematics
Recall formulas and
computational procedures
Follow procedures /
instructions
Explain findings and results
Recognize, generate or
from data analysis
create patterns
strategies
Solve equations/formulas/
routine word problems
Develop/explain
relationships between
concepts
Find a mathematical rule to
Synthesize content and
generate a pattern or
ideas from several sources
number sequence
Organize or display data
Show or explain
relationships between
models, diagrams, and/or
other representations
Make and investigate
mathematical conjectures
Read or produce graphs
and tables
Identify faulty arguments or
misrepresentations of data
Execute geometric
constructions
Reason inductively or
deductively
Apply to real world
situations