
State of
Alaska > Department of Education &
Early Development > Content Standards
MATHEMATICS
A A student should understand
mathematical facts, concepts, principles, and theories.
A student who meets the content standard should:
 understand and use numeration, including
 numbers, number systems, counting numbers, whole numbers, integers,
fractions, decimals, and percents; and
 irrationals and complex numbers;
 select and use appropriate systems, units, and tools of measurement,
including estimation;
 perform basic arithmetic functions, make reasoned estimates, and
select and use appropriate methods or tools for computation or estimation
including mental arithmetic, paper and pencil, a calculator, and a
computer;
 represent, analyze, and use mathematical patterns, relations, and
functions using methods such as tables, equations, and graphs;
 construct, draw, measure, transform, compare, visualize, classify,
and analyze the relationships among geometric figures; and
 collect, organize, analyze, interpret, represent, and formulate questions
about data and make reasonable and useful predictions about the certainty,
uncertainty, or impossibility of an event.
B 
A student should understand and be able to select and
use a variety of problemsolving strategies. 
A student who meets the content standard should:
 use computational methods and appropriate technology as problemsolving
tools;
 use problem solving to investigate and understand mathematical content;
 formulate mathematical problems that arise from everyday situations;
 develop and apply strategies to solve a variety of problems;
 check the results against mathematical rules;
 use common sense to help interpret results;
 apply what was learned to new situations; and
 use mathematics with confidence.
C 
A student should understand and be able to form and
use appropriate methods to define and explain mathematical relationships. 
A student who meets the content standard should:
 express and represent mathematical ideas using oral and written presentations,
physical materials, pictures, graphs, charts, and algebraic expressions;
 relate mathematical terms to everyday language;
 develop, test, and defend mathematical hypotheses; and
 clarify mathematical ideas through discussion with others.
D 
A student should be able to use logic and reason to
solve mathematical problems. 
A student who meets the content standard should:
 analyze situations;
 draw logical conclusions;
 use models, known facts, and relationships to explain the student's
reasoning;
 use deductive reasoning to verify conclusions, judge the validity
of arguments, and construct valid arguments; and
 use inductive reasoning to recognize patterns and form mathematical
propositions.
E 
A student should be able to apply mathematical concepts
and processes to situations within and outside of school. 
A student who meets the content standard should:
 explore problems and describe results using graphical, numerical,
physical, algebraic, and verbal mathematical models or representations;
 use mathematics in daily life; and
 use mathematics in other curriculum areas.



