Back to Index

The middle school standards are set at a level of performance approximately equivalent to the end of the eighth grade. It is expected that some student might achieve this level earlier and others later than this grade. (See "Deciding what constitutes a standard-setting performance,")

M Mathematics
Number and Operation Concepts
a Consistently and accurately add, subtract, multiply, and divide rational numbers.
b Use and understand the inverse relationships between multiplication and division, and exponentiation and root-extraction.
c Apply and convert the different kinds and forms of rational numbers.
d Be familiar with characteristics of numbers.
e Interpret percent as part of 100.
f Reason proportionally to solve problems involving equivalent fractions, equal ratios, or constant rates.
g Order numbers with the > and < relationships; estimate and compare rational numbers using sense of the magnitudes and relative magnitudes of numbers.
Geometry and Measurement Concepts
a Be familiar with assorted two- and three-dimensional objects.
b Identify similar and congruent shapes and use transformations in the coordinate plane.
c Identify three dimensional shapes from two dimensional perspectives; draw two dimensional sketches of three dimensional objects.
d Determine and understand length, area, and volume.
e Recognize similarity and rotational and bilateral symmetry in two- and three-dimensional figures.
f Analyze and generalize geometric patterns.
g Measure angles, weights, capacities, times, and temperatures using appropriate units.
h Choose appropriate units of measure and convert with ease between like units.
i Reason proportionally in situations with similar figures.
j Reason proportionally with measurements.
k Model situations geometrically to formulate and solve problems.
Function and Algebra Concepts
a Discover, describe, and generalize patterns, and represent them with variables and expressions.
b Represent relationships.
c Analyze tables to determine functional relationships.
d Find solutions for unknown quantities in linear equations.
Statistics and Probability Concepts
a Organize and display data.
b Analyze data with respect to frequency and distribution.
c Analyze central tendencies of data.
d Make conclusions and recommendations based on data analysis.
e Critiques the conclusions and recommendations of others’ statistics.
f Considers the effects of missing or incorrect information.
g Formulates hypotheses to answer a question and uses data to test hypotheses.
h Represent and determine probability, recognize equally likely outcomes, and construct sample spaces.
i Make predictions based on experimental or theoretical probabilities.
j Predict the result of a series of trials once the probability for one trial is known.
Problem Solving and Reasoning
a Formulation.
b Implementation.
c Conclusion.
d Mathematical reasoning.
Mathematical Skills and Tools
a Compute accurately with arithmetic operations on rational numbers.
b Know and use the correct order of operations for arithmetic computations.
c Estimate numerically.
d Measure accurately.
e Refer to geometric shapes and terms correctly.
f Use equations, formulas, and simple algebraic notation appropriately.
g Read and organize data on charts and graphs.
h Use calculators, as appropriate, to achieve solutions.
Mathematical Communication
a Use mathematical language and representations with appropriate accuracy.
b Organize work, explain a solution orally and in writing, and use other techniques to
make meaning clear to the audience.
c Use mathematical language to make complex situations easier to understand.
d Exhibit developing reasoning abilities by justifying statements and defending work.
e Show understanding of concepts by explaining ideas to others.
Putting Mathematics to Work
a Data study.
b Mathematical model.
c Design a physical structure.
d Management and planning.
e Pure mathematics investigation.