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J Coffman
Joseph Coffman's Lecture Notes: Modeling Data With Quadratics
Learners explore quadratic functions and their graphs. Vocabulary, examples, methods, and a quiz are included.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
CK-12 Foundation
Ck 12: Applications of Function Models
[Free Registration/Login may be required to access all resource tools.] A collection of resources for exploring word problems using function models.
CK-12 Foundation
Ck 12: Algebra: Linear, Exponential, and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Given a table of values, determine the type of function being modeled.
Texas Instruments
Texas Instruments: Floral Shop Math
Students will create quadratic functions that model revenue collected and profit earned from selling bouquets in a flower shop. The students can use graphing calculators to identify the maximum value for each function. Once they identify...
Interactive Mathematics
Interactive Mathematics: Quadratic Equations
Using modeling, the world of quadratics is explored. Learn how to solve quadratics using methods of factoring, completing the square, and the quadratic formula. Also included are methods for graphing quadratic functions.
Khan Academy
Khan: Lsn 12: Exponential Functions, Equations, Expressions and Radicals
Lesson 2 of 4 for Passport to Advanced Math. Young scholars will build quadratic and exponential functions that model a given context; solve radical equations; work with rational expressions, including fractions with a variable in the...
CK-12 Foundation
Ck 12: Identifying Function Models: Linear, Exponential, and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Learn how to distinguish between linear, exponential, and quadratic models.
TeachEngineering
Teach Engineering: Walk the Line: A Module on Linear Functions
This module leads students through the process of graphing data and finding a line of best fit while exploring the characteristics of linear equations in algebraic and graphic formats. Then, these topics are connected to real-world...
CK-12 Foundation
Ck 12: Algebra: Identification of Quadratic Models
[Free Registration/Login may be required to access all resource tools.] This lesson covers fitting a data set to a quadratic equation.
CK-12 Foundation
Ck 12: Analysis: Linear and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions
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.
Student Achievement Partners
Student Achievement Partners: Penny Circle Task [Pdf]
Students will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
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.
Texas Instruments
Texas Instruments: Height and Time for a Bouncing Ball
In this activity, students' will record the motion of a bouncing ball using a motion detector. They will then model a bounce using both the general and vertex forms of the parabola.
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....
CK-12 Foundation
Ck 12: Analysis: Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating logarithmic functions by comparing to exponential functions and rewriting to solve.
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...
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...
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. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, 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...
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, students 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.
Math Graphs
Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [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...