M      Mathematics
    M1   Number and Operation Concepts
    M1a   Consistently and accurately add, subtract, multiply and divide rational numbers.
    M1b   Use and understand the inverse relationships between multiplication and division, and exponentiation and root-extraction.
    M1c   Apply and convert the different kinds and forms of rational numbers.
    M1d   Be familiar with characteristics of numbers.
    M1e   Interpret percent as part of 100.
    M1f    Reason proportionally to solve problems involving equivalent fractions, equal ratios, or constant rates.
    M1g   Order numbers with the > and < relationships; estimate and compare rational numbers using sense of the magnitudes
              and the relative magnitudes of numbers.

   M2    Geometry and Measurement Concepts
    M2a    Be familiar with assorted two and three dimensional objects.
    M2b    Identify similar and congruent shapes and use transformations in the coordinate plane.
    M2c    Identify three dimensional shapes from two dimensional perspectives; draw two dimensional sketches of three
               dimensional sketches of three dimensional objects.
    M2d    Determine and understand length, area and volume.
    M2e    Recognize similarity and rotational and bilateral symmetry in two and three dimensional figures.
    M2f    Measure angles, weights, capacities, times, and temperatures using appropriate units.
    M2g    Analyze and generalizegeometric patterns.
    M2h    Choose appropriate units of easier and convert with ease like units.
    M2i     Reason proportionally with measurements.
    M2k    Model situations geometrically to formulate and solve problems

   M3    Function and Algebra Concepts
    M3a    Discover, describe, and generalize patterns, and represent them with variables and expressions.
    M3b    Represent relationships.
    M3c    Analyze tables to determine functional relationships.
    M3d    Find solutions for unknown quantities in linear equations.

   M4    Statistics and Probability Concepts
    M4a    Organize and display data.
    M4b    Analyze data with respects to frequency and distribution.
    M4c    Analyze central tendencies of data.
    M4d    Make conclusions and recommendations based on data analysis.
    M4e    Critiques the conclusion and recommendations of others' statistics.
    M4f     Considers the effects of missing or incorrect information.
    M4g    Formulates hypotheses to answer a question and uses data to test hypotheses.
    M4h    Represent and determine probability, recognize equally likely outcomes, and construct sample spaces.
    M4i    Make predictions based on experimental or theoretical probabilities.
    M4j    Predict the result of a series of trials once the probability for one trial is known.

   M5    Problem Solving and Reasoning
    M5a    Formulation
    M5b    Implementation
    M5c    Conclusion
    M5d    Mathematical Reasoning

   M6    Mathematical skills and tool
    M6a    Compare accurately with arithmetic operations on rational numbers.
    M6b    Know and use the correct order of operations for arithmetic computations.
    M6c    Estimate accurately.
    M6d    Measure accurately.
    M6e    Refer o geometric shapes and terms correctly.
    M6f     Use equations, formulas, and simple algebraic notation appropriately.
    M6g    Read and organize data on charts and graphs.
    M6h    Use Calculators. as appropriate, to achieve solutions.

   M7    Mathematical Communication
    M7a    Use mathematical language and representations with appropriate accuracy.
    M7b    Organize work, explain a solution orally and in writing, and use other techniques to make meaning clear
               to the audience.
    M7c    Use mathematical language to make complex situations easier to understand.
    M7d    Exhibit developing reasoning abilities by justifying statements and defending work.
    M7e    Show understanding of concepts by explaining ideas to others.

   M8    Putting Mathematics to Work
    M8a    Data Study
    M8b    Mathematical Model
    M8c    Design a physical structure.
    M8d    Management and planning.
    M8e    Pure mathematics investigation.

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