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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:

  1. understand and use numeration, including
    1. numbers, number systems, counting numbers, whole numbers, integers, fractions, decimals, and percents; and
    2. irrationals and complex numbers;
  2. select and use appropriate systems, units, and tools of measurement, including estimation;
  3. 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;
  4. represent, analyze, and use mathematical patterns, relations, and functions using methods such as tables, equations, and graphs;
  5. construct, draw, measure, transform, compare, visualize, classify, and analyze the relationships among geometric figures; and
  6. 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:

  1. use computational methods and appropriate technology as problem-solving tools;
  2. use problem solving to investigate and understand mathematical content;
  3. formulate mathematical problems that arise from everyday situations;
  4. develop and apply strategies to solve a variety of problems;
  5. check the results against mathematical rules;
  6. use common sense to help interpret results;
  7. apply what was learned to new situations; and
  8. 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:

  1. express and represent mathematical ideas using oral and written presentations, physical materials, pictures, graphs, charts, and algebraic expressions;
  2. relate mathematical terms to everyday language;
  3. develop, test, and defend mathematical hypotheses; and
  4. 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:

  1. analyze situations;
  2. draw logical conclusions;
  3. use models, known facts, and relationships to explain the student's reasoning;
  4. use deductive reasoning to verify conclusions, judge the validity of arguments, and construct valid arguments; and
  5. 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:

  1. explore problems and describe results using graphical, numerical, physical, algebraic, and verbal mathematical models or representations;
  2. use mathematics in daily life; and
  3. use mathematics in other curriculum areas.
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