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Math Standards for Network Challenge

STANDARD

CHARACTERISTICS

Data Analysis and Probability Standard.

  1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer
  2. Select and use appropriate statistical methods to analyze data
  3. Develop and evaluate inferences and predictions that are based on data
  4. Understand and apply basic concepts of probability

Problem Solving Standard

 

Connection Standard

 

Representation Standard

 

Math standards are structured by grade level ranges. For a complete overview of the math standards -- click here.

 

 

 

 

 STANDARD

CHARACTERISTICS

 GRADE 3-5 GRADE 6-8
DATA ANALYSIS AND PROBABILITY

 

 

 

 

 

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Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer

 

 

 

 

 • design investigations to address a question and consider how data-collection methods affect the nature of the data set; 

• collect data using observations, surveys, and experiments; 

• represent data using tables and graphs such as line plots, bar graphs, and line graphs; 

• recognize the differences in representing categorical and numerical data. 

• formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population; 

• select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatter plots. 

 

Select and use appropriate statistical methods to analyze data

 

 

 

 

 

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 • describe the shape and important features of a set of data and compare related data sets, with an emphasis on how the data are distributed; 

• use measures of center, focusing on the median, and understand what each does and does not indicate about the data set; 

• compare different representations of the same data and evaluate how well each representation shows important aspects of the data. 

• find, use, and interpret measures of center and spread, including mean and interquartile range; 

• discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots

 

Develop and evaluate inferences and predictions that are based on data

 

 

 

 

 

 

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 • propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions • use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken; 

• make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit; 

• use conjectures to formulate new questions and plan new studies to answer them. 

 

 

 

 

 

 

 

 

 

Understand and apply basic concepts of probability

 

 

 

 

 

 

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 • describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible;

• predict the probability of outcomes of simple experiments and test the predictions; 

• understand that the measure of the likelihood of an event can be represented by a number from 0 to 1. 

• understand and use appropriate terminology to describe complementary and mutually exclusive events; 

• use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations; 

• compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models. 

  STANDARD

 CHARACTERISTICS

 GRADE 3-5 GRADE 6-8
PROBLEM SOLVING

 

 

 

 

 

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 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.

 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.
  STANDARD

 CHARACTERISTICS

 GRADE 3-5 GRADE 6-8
CONNECTIONS

 

 

 

 

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 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.

 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.
  STANDARD

 CHARACTERISTICS

 GRADE 3-5 GRADE 6-8
REPRESENTATION

 

 

 

 

 

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 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

 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