NCTM Standards
NCTM Standards 2000 Addressed Within the InterMath Statistics Unit
Grade 68
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 68 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 68 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, stemandleaf 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.
