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Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Non Linear Functions and Models

For Students 9th - 10th Standards
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.
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Unit Plan
Khan Academy

Khan Academy: Fitting Quadratic and Exponential Functions to Scatter Plots

For Students 9th - 10th Standards
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.
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Activity
Texas Instruments

Texas Instruments: Math Today Challenge Heat Watch

For Teachers 9th - 10th
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...
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Applications of Function Models

For Students 9th - 10th Standards
[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...
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Activity
Texas Instruments

Texas Instruments: Ball Bounce

For Teachers 9th - 10th
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...
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Activity
Texas Instruments

Texas Instruments: Math Today for Ti Navigator System Humidity Makes Air Feel

For Teachers 9th - 10th
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...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [Pdf]

For Students 9th - 10th Standards
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...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 2 [Pdf]

For Students 9th - 10th Standards
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...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 3 [Pdf]

For Students 9th - 10th Standards
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...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 4 [Pdf]

For Students 9th - 10th Standards
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...
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Lesson Plan
Alabama Learning Exchange

Alex: Discover the Roots of a Polynomial Function

For Teachers 9th - 10th
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...
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Lesson Plan
Student Achievement Partners

Student Achievement Partners: Penny Circle Task [Pdf]

For Teachers 9th - 10th Standards
Learners will explpre models and understand the difference between quadratic, exponential, and linear models in this lesson.
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Unit Plan
Khan Academy

Khan Academy: Quadratic Word Problems (Standard Form)

For Students 9th - 10th
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...
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eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.14 Polynomial Models

For Students 9th - 10th Standards
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:...
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Unit Plan
Khan Academy

Khan Academy: Equations & Inequalities Word Problems

For Students 9th - 10th Standards
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....
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Activity
Texas Instruments

Texas Instruments: Ratio of Areas

For Teachers 9th - 10th Standards
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...
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Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
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."
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 7 [Pdf]

For Students 9th - 10th Standards
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.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]

For Students 9th - 10th Standards
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Choosing an Appropriate Growth Model

For Teachers 9th - 10th Standards
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...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if a Sse Modeling London's Population

For Teachers 9th - 10th Standards
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...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Identifying Functions

For Teachers 9th - 10th Standards
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.
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Activity
Texas Instruments

Texas Instruments: What Goes Up: Position and Time for a Cart on a Ramp

For Teachers 9th - 10th
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.
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Whiteboard
ClassFlow

Class Flow: Fitting Models to Data

For Teachers 9th - 10th
[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...