LEARN NC

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

Advanced Functions and Modeling

Goal 1, Objective 1.01

Goal 1

Data Analysis and Probability - The learner will analyze data and apply probability concepts to solve problems.

Objective 1.01

Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, 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 and make predictions.

Resources aligned to this objective

Records 1–11 of 11 displayed.

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
Shrinking Candles, Running Water, Folding Boxes
This Illuminations lesson allows students to look for functions within a given set of data. (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
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
Exploring linear functions: Representational relationships
This lesson presents a series of explorations based on two linked representations of linear functions. (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