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Foxes and Rabbits 3
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CC BY
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The example of rabbits and foxes was introduced in 8-F Foxes and Rabbits to illustrate two functions of time given in a table. The same situation was used in F-TF Foxes and Rabbits 2 to find trigonometric functions modeling the data in the table. The previous situation was somewhat unrealistic since we were able to find functions that fit the data perfectly. In this task, on the other hand, we do some legitimate modelling, in that we come up with functions that approximate the data well, but do not perfectly match, the given data.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/30/2012
Function Rules
Unrestricted Use
CC BY
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This task can be played as a game where students have to guess the rule and the instructor gives more and more input output pairs. Giving only three input output pairs might not be enough to clarify the rule.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/30/2013
Functions: Interpreting Functions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Interpreting Functions to High Schoolers through a series of 3578 questions and interactive activities aligned to 38 Common Core mathematics skills.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
01/09/2015
Functions: Linear, Quadratic, and Exponential Models
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Linear, Quadratic, and Exponential Models to High Schoolers through a series of 137 questions and interactive activities aligned to 6 Common Core mathematics skills.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
01/09/2015
Functions: Trigonometric Functions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Trigonometric Functions to High Schoolers through a series of 915 questions and interactive activities aligned to 15 Common Core mathematics skills.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
01/09/2015
Functions and Everyday Situations
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: articulate verbally the relationships between variables arising in everyday contexts; translate between everyday situations and sketch graphs of relationships between variables; interpret algebraic functions in terms of the contexts in which they arise; and reflect on the domains of everyday functions and in particular whether they should be discrete or continuous.

Subject:
Functions
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
GIS Programming and Automation
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CC BY-NC-SA
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Bill Gates is credited with saying he would \hire a lazy person to do a difficult job\" with the justification that \"a lazy person will find an easy way to do it.\" GEOG 485 doesn't teach the lazy way to get the job done, but it does teach the scripting way _ which is arguably even better. You've probably heard the \"give a fish\"/\"teach to fish\" saying? That's the gist of GEOG 485: to equip you, in an ArcGIS context, with the ModelBuilder and Python scripting skills to make your boring, repetitive geoprocessing tasks easier, quicker and automatic _ so you can focus on the more interesting (potentially more valuable) work that you (and your employers) really want you to be doing."

Subject:
Applied Science
Computer Science
Information Science
Material Type:
Full Course
Provider:
Penn State College of Earth and Mineral Sciences
Author:
James O'Brien
Jim Detwiler
Sterling Quinn
Date Added:
10/07/2019
Grade 8 Module 5: Examples of Functions from Geometry
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CC BY-NC-SA
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In the first topic of this 15 day module, students learn the concept of a function and why functions are necessary for describing geometric concepts and occurrences in everyday life.  Once a formal definition of a function is provided, students then consider functions of discrete and continuous rates and understand the difference between the two.  Students apply their knowledge of linear equations and their graphs from Module 4 to graphs of linear functions.  Students inspect the rate of change of linear functions and conclude that the rate of change is the slope of the graph of a line.  They learn to interpret the equation y=mx+b as defining a linear function whose graph is a line.  Students compare linear functions and their graphs and gain experience with non-linear functions as well.  In the second and final topic of this module, students extend what they learned in Grade 7 about how to solve real-world and mathematical problems related to volume from simple solids to include problems that require the formulas for cones, cylinders, and spheres.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
01/06/2014
Grade 8 Module 6: Linear Functions
Conditional Remix & Share Permitted
CC BY-NC-SA
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In Grades 6 and 7, students worked with data involving a single variable.  Module 6 introduces students to bivariate data.  Students are introduced to a function as a rule that assigns exactly one value to each input.  In this module, students use their understanding of functions to model the possible relationships of bivariate data.  This module is important in setting a foundation for students’ work in algebra in Grade 9.

Subject:
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
01/10/2014
Graphs of Compositions
Unrestricted Use
CC BY
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This task addresses an important issue about inverse functions. In this case the function f is the inverse of the function g but g is not the inverse of f unless the domain of f is restricted.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Graphs of Power Functions
Unrestricted Use
CC BY
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This task requires students to recognize the graphs of different (positive) powers of x. There are several important aspects to these graphs. First, the graphs of even powers of x all open upward as x grows in the positive or negative direction. The larger the even power, the flatter these graphs look near 0 and the more rapidly they increase once the distance of x from 0 excedes 1.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Graphs of Quadratic Functions
Unrestricted Use
CC BY
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This exploration can be done in class near the beginning of a unit on graphing parabolas. Students need to be familiar with intercepts, and need to know what the vertex is.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Guided Notes for College Algebra (GGC)
Unrestricted Use
CC BY
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This collection of guided notes was created through a Round Fifteen Mini-Grant for Ancillary Materials Creation and Revision. Major topics include:

Review Topics
Equations and Inequalities
Functions and Graphs
Other Functions and Inequalities
Exponentials and Logarithms

Subject:
Algebra
Mathematics
Material Type:
Lecture Notes
Provider:
Georgia Gwinnett College
Author:
Janice Alves
Rabia Shahbaz
Date Added:
10/03/2022
High School Graduation
Unrestricted Use
CC BY
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While not a full-blown modeling problem, this task does address some aspects of modeling as described in Standard for Mathematical Practice 4. Also, students often think that time must always be the independent variable, and so may need some help understanding that one chooses the independent and dependent variable based on the way one wants to view a situation.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
The Hospital of the Future: Engineering through Robotics and Automated Patient Care
Read the Fine Print
Educational Use
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Students further their understanding of the engineering design process while combining mechanical engineering and bioengineering to create an automated medical device. During the activity, students are given a fictional client statement and are required to follow the steps of the design process to create medical devices that help reduce the workload for hospital workers and increase the quality of patient care.

Subject:
Applied Science
Engineering
Health, Medicine and Nursing
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Jared R. Quinn
Jeanne Hubelbank
Kristen Billiar
Terri Camesano
Date Added:
10/14/2015
How is the Weather?
Unrestricted Use
CC BY
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This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012