LEARN NC

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

Integrated Mathematics 4

Goal 3: Data Analysis and Probability - The learner will analyze data to solve problems.

Objective 3.02. Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions of bivariate data to solve problems.

  • Interpret the constants, coefficients, and bases in the context of the data.
  • Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions.

Additional related resources

We’re in the process of aligning our content for students to the Standard Course of Study. As we do, you’ll find it here.

General resources

Aligned lesson plans

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.
Learning to use R statistical software for linear regression — An alternative to the graphing calculator
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 2
Students often learn how to do linear regression activities using a graphing calculator. This lesson provides an opportunity to complete these same types of assignments using R statistical software. Students will use this free software to create scatter plots and to develop linear regression models that can be used to make predictions.
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
Learning to use R statistical software for data mining — Putting it all together
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 4
Students will mine data to identify the variables that most significantly impact the...
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
Learning to use R statistical software for data mining — An extension of linear regression to multiple variables
In Understanding data mining: Extracting, organizing, and analyzing large sets of data, page 3
In this lesson, students will use the free R statistical software to navigate through the basics of data mining, a process in which the effects of individual variables can be determined. Students will utilize multiple methods of variable selection — forward selection, backward selection, and stepwise selection — in an attempt to determine which variables are most influential in a given situation.
Format: lesson plan (grade 9–12 Mathematics)
By Dail Midgette.
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 8–12 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
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
Modeling Orbital Debris Problems
Students examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. (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
Automobile Mileage: Years Since 1990 vs. Mileage
This lesson provides an opportunity for the students to analyze how changing the independent variable in a set of data can result in a different least squares regression line. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Automobile Mileage: Year vs. Mileage
Students plot data about automobile mileage and interpret the meaning of the slope and y-intercept in the resulting equation for the least squares regression line. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Automobile Mileage: Comparing and Contrasting
This lesson allows students the time they need to think about and discuss what they have done in the previous lessons. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Automobile Mileage: Age vs. Mileage
Students plot data about automobile mileage and interpret the meaning of the slope and y-intercept of the least squares regression line. (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