LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 4

Algebra - The learner will analyze bivariate data to solve problems.

Objective 4.01

Analyze bivariate data.

  • Recognize and analyze correlation and linearity.
  • Determine the least squares regression line.
  • Create residual plots and identify outliers and influential points to analyze data.
  • Use logarithmic and power transformations to analyze data.

Resources aligned to this objective

Space Shuttle O-ring failure
Students will use a TI82 or TI83 calculator to construct a scatterplot, find the equation of the least-squares regression line for a set of data, find the coefficient of determination, and make predictions by using the line.
Format: lesson plan (grade 9–12 Mathematics)
By Brenda Goforth.
Data gathering - Linear regressions
In groups of three, students gather data by experiment or observation in one of nine activities. Each group models the data they gathered, creates a display, and presents results to the class using an overhead projector.
Format: lesson plan (grade 9–12 Mathematics)
By Judy Pickering.

Resources on the web

Work to a Conclusion
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Reflecting on your work
In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context and apply the methods they explored in the previous lesson to two new situations. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Northwestern Crows
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Make a conjecture
In this lesson, students explore rates of change and accumulation in context and study the mathematics involved in determining the amount of blood being pumped by a heart. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Gather data
In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context by modeling cardiac output. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
The Effects of Outliers
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Correlation and the Regression Line
Students investigate the relationship between a set of data points and a line used to fit the data points using a computer-based interactive tool, the Regression Line Applet. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Conduct an Experiment
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Analyze the Data
Students use rational functions to investigate the feeding behavior of Northwestern Crows. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics