Common Core and NCTM Standards

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Standards/Curriculum Information: 

New Common Core Standards: Content Standard(s):

Quantities N -Q Reason quantitatively and use units to solve problems.

  1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
  2. Define appropriate quantities for the purpose of descriptive modeling.
  3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
  4. Modeling: When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data.

Interpreting Categorical and Quantitative Data S-ID Summarize, represent, and interpret data on two categorical and quantitative variables

  1. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
  2. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

b. Informally assess the fit of a function by plotting and analyzing residuals.

c. Fit a linear function for a scatter plot that suggests a linear association.Interpret linear models

  1. Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
  2. Compute (using technology) and interpret the correlation coefficient of a linear fit.
  3. Distinguish between correlation and causation.


NCTM Standards and Expectations:

Algebra 6-8

  • Use graphs to analyze the nature of changes in quantities in linear relationships.
  • Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.Algebra 9-12Use symbolic algebra to represent and explain mathematical relationships.
  • Approximate and interpret rates of change from graphical and numerical data.

Data Analysis & Probability 6-8

  • Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
  • Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit.

Data Analysis & Probability 9-12

  • Identify trends in bivariate data and find functions that model the data or transform the data so that they can be modeled.