Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Non Linear Functions and Models
The topic summary outlines non-linear functions and models. Some topics reviewed are quadratic functions, exponential functions, logistic functions, and logarithms. The resource consists of definitions, notes, and examples.
Khan Academy
Khan Academy: Fitting Quadratic and Exponential Functions to Scatter Plots
Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Math Today Challenge Heat Watch
Students will explore linear & quadratic functions to determine how they model the relationship between air temperature & heat index. Once the models are determined students will make predictions about heat index when given a...
CK-12 Foundation
Ck 12: Algebra: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw a scatter plot of data, find and draw the function that best fits that data, and make predictions from that information. Students watch...
Texas Instruments
Texas Instruments: Ball Bounce
This activity allows students to use real data obtained by them to model quadratic equations. students can use the TI-83 and/or TI-84 and a motion detector to collect their data. The students will then manually fit both quadratic and...
Texas Instruments
Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel
Using data from the USA TODAY graphic,"Humidity makes air feel even hotter," students will explore quadratic and cubic functions to determine how well they model the relationship between air temperature and heat index. When the models...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [Pdf]
Learners use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 2 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 3 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 4 [Pdf]
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
Alabama Learning Exchange
Alex: Discover the Roots of a Polynomial Function
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore the...
Student Achievement Partners
Student Achievement Partners: Penny Circle Task [Pdf]
Learners will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
Khan Academy
Khan Academy: Quadratic Word Problems (Standard Form)
Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
CK-12 Foundation
Ck 12: Algebra Ii: 1.14 Polynomial Models
Learning to express real-life situations as mathematical functions (models) allows seemingly complex ideas and actions to be broken down into smaller, simpler parts and analyzed. In this section are three types of of those models:...
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Texas Instruments
Texas Instruments: Ratio of Areas
In this activity, students use the CellSheet Application to determine geometric ratios of areas. Students determine the position of the vertices of a square that has all four vertices on the sides of a larger square and has a specified...
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 7 [Pdf]
Learners use a given scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]
Learners use a scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
Illustrative Mathematics
Illustrative Mathematics: F Le Choosing an Appropriate Growth Model
The goal of this task is to examine some population data for large cities from a modeling perspective. Young scholars are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential...
Illustrative Mathematics
Illustrative Mathematics: F if a Sse Modeling London's Population
In this task, students are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, learners are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
Texas Instruments
Texas Instruments: What Goes Up: Position and Time for a Cart on a Ramp
In this activity, students' will use a motion detector to measure how the position of a cart on a ramp changes with time. They will then determine a parabolic model for the position data using the intercepts.
ClassFlow
Class Flow: Fitting Models to Data
[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...