|
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 problem-solving strategies. |
A student who meets the content standard should:
- use computational methods and appropriate technology as problem-solving
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.
|
|
|
|
