Mathematics Standards

Standard 4.1:    All Students Will Develop The Ability To Pose And Solve Mathematical Problems In Mathematics, Other Disciplines, And Everyday Experiences

    10. Use discovery-oriented, inquiry-based, and problem-centered approaches to investigate and understand mathematical content appropriate to the middle grades.
    11. Recognize, formulate, and solve problems arising from mathematical situations, everyday experiences, and applications to other disciplines.
    12. Construct and use concrete, pictorial, symbolic, and graphical models to represent problem situations and effectively apply processes of mathematical modeling in mathematics and other areas.

Standard 4.2: All Students Will Communicate Mathematically Through Written, Oral, Symbolic, And Visual Forms Of Expression

     8.  Analyze, evaluate, and explain mathematical arguments and conclusions presented by others.

Standard 4.3:    All Students Will Connect Mathematics To Other Learning By Understanding The Interrelationships Of Mathematical Ideas And The Roles That Mathematics And Mathematical Modeling Play In Other Disciplines And In Life

    11. Recognize situations in other disciplines in which mathematical models may be applicable, and apply appropriate models, mathematical reasoning, and problem solving to those situations.

Standard 4.4: All Students Will Develop Reasoning Ability And Will Become Self-Reliant, Independent Mathematical Thinkers

     6.  Make conjectures based on observation and information, and test mathematical conjectures and arguments.
     7.  Justify, in clear and organized form, answers and solution processes in a variety of problems.
     9.  Recognize and use deductive and inductive reasoning in all  areas of mathematics.
   10. Utilize mathematical reasoning skills in other disciplines and in their lives.
   11. Use reasoning rather than relying on an answer-key to check the correctness of solutions to problems.

Standard 4.5: All Students Will Regularly And Routinely Use Calculators, Computers, Manipulatives, And Other Mathematical Tools To Enhance Mathematical Thinking, Understanding, And Power

     6.  Use a variety of technologies to evaluate and validate problem solutions, and to investigate the properties of functions and their graphs.
     7.  Use computer spreadsheets and graphing programs to organize and display quantitative information and to investigate properties of functions

Standard 4.6: All Students Will Develop Number Sense And An Ability To Represent quantitative information and to investigate properties of functions.

    12. Develop number sense necessary for estimation
    14. Understand and apply ratios, proportions, and percents in a variety of situations
    18. Investigate the relationships among fractions, decimals, and percents, and use all of them appropriately

Standard 4.7: All Students Will Develop Spatial Sense And An Ability To Use Geometric Properties And Relationships To Solve Problems In Mathematics And In Everyday Life

    16. Develop, understand, and apply a variety of strategies for determining perimeter, area, surface area, angle measure, and volume

Standard 4.8: All Students Will Understand, Select, And Apply Various Methods Of Performing Numerical Operations

    11. Develop, apply, and explain methods for solving problems proportions and percents

Standard 4.9: All Students Will Develop An Understanding Of And Will Use Measurement To Describe And Analyze Phenomena

     7.  Use estimated and actual measurements to describe and compare phenomena
     8.  Read and interpret various scales, including those based on number lines and maps
   12. Explore situations involving quantities which cannot be measured directly or conveniently
   14. Understand and apply measurement in their own lives and in other subject areas
   16.  Apply their knowledge of measurement to the construction of a variety of two- and three-dimensional figures

Standard 4.10: All Students Will Use A Variety Of Estimation Strategies And Recognize Situations In Which Estimation Is Appropriate

     8.  Develop, apply, and explain a variety of different estimation strategies in problem situations involving quantities and measurement
   10. Determine whether a given estimate is an overestimate or an underestimate

Standard 4.12: All Students Will Develop An Understanding Of Statistics And Probability And Will Use Them To Describe Sets Of Data, Model Situations, And Support Appropriate Inferences And Arguments

     9.  Generate, collect, organize, and analyze data and represent this data in tables, charts, and graphs.
   10. Select and use appropriate graphical representations and measures of central tendency (mean, mode and median) for sets of data.
   11. Make inferences and formulate and evaluate arguments based on data analysis and data displays

Standard 4.14: All Students Will Apply The Concepts And Methods Of Discrete Mathematics To Model And Explore A Variety Of Practical Situations.

      6.  Use systematic listing, counting, and reasoning in a variety of different contexts

Standard 4.16: All Students Will Demonstrate High Levels Of Mathematical Thought Through Experiences Which Extend Beyond Traditional Computation, Algebra, And Geometry

      2.  Work at rich, open-ended problems which require them to use mathematics in meaningful ways, and which provide them with exciting and interesting mathematical experiences