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NCTM Standards


NCTM Standards 2000 Addressed Within the InterMath Statistics Unit

Grade 6-8

 

DATA ANALYSIS and PROBABILITY STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--

  • Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
    In grades 6-8 all students should formulate questions, design studies, and collect data about a characteristics shared by two populations or different characteristics within one population; and select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
  • Select and use appropriate statistical methods to analyze data.
    In grades 6-8 all students should find, use, and interpret measures of center and spread, including mean and interquartile range; and discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatter plots.



PROBLEM SOLVING STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--
  • build new mathematical knowledge through problem solving;
  • solve problems that arise in mathematics and in other contexts;
  • apply and adapt a variety of appropriate strategies to solve problems;
  • monitor and reflect on the process of mathematical problem solving.



REASONING AND PROOF STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--
  • recognize reasoning and proof as fundamental aspects of mathematics;
  • make and investigate mathematical conjectures;
  • develop and evaluate mathematical arguments and proofs;
  • select and use various types of reasoning and methods of proof.



COMMUNICATION STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--
  • organize and consolidate their mathematical thinking through communication;
  • communicate their mathematical thinking coherently and clearly to peers, teachers, and others;
  • analyze and evaluate the mathematical thinking and strategies of others;
  • use the language of mathematics to express mathematical ideas precisely.



CONNECTIONS STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--
  • recognize and use connections among mathematical ideas;
  • understand how mathematical ideas interconnect and build on one another to produce a coherent whole;
  • recognize and apply mathematics in contexts outside of mathematics.



REPRESENTATION STANDARD

Instructional programs from prekindergarten through grade 12 should enable all students to--
  • create and use representations to organize, record, and communicate mathematical ideas;
  • select, apply, and translate among mathematical representations to solve problems;
  • use representations to model and interpret physical, social, and mathematical phenomena.