NYS

These are the resources that support this NYS Standard.

NY-8.F.1

There are 63 resources.
Title Description Thumbnail Image Curriculum Topics

Applications of Linear Functions: Cricket Chirps

Crickets are known for their chirping sounds. But did you know that the number of times a cricket chirps per minute is an indicator of the outside temperature? In fact, the relationship between cricket chirps and the outside temperature can be modeled by a linear function. In this module, students will explore the function that can be used to determine the outside temperature based on the number of times a cricket chirps per minute.

First, students watch a video that describes the chirp-temperature phenomenon. Students are then walked through the process of developing the linear model. They look at inputs and outputs, determine the dependent and independent variables, and explore the linear function with a graphing calculator activity.

Applications of Linear Functions: Hooke's Law

In this module, students explore a physics-based application of linear functions: Hooke's Law. By exploring the properties of springs, a simple linear model is developed. Students then explore applications of Hooke's Law, from weight scales to bungee cords.

Students investigate the properties of springs and identify two variables: the displacement of the spring (extension or compression) and the amount of force involved. From this students identify the independent variable and dependent variable. A graphing calculator activity (using the Desmos graphing tool) allows students to explore the value of k in the function F = kx.

What Is a Function?

In algebra, the topic of functions is extremely important. But what is a function? In this module students will learn what a function is and how to represent it. They'll explore data tables, graphs, and equations. Plus, they'll see the connection from one to the other.

Students will learn about function machines, and we draw an analogy to actual machines. A short video shows how a flat disk of aluminum (the input) is turned into a soda can (the output) by a series of machines that stretch and shape the disk into the can.

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What Are Domain and Range?

What do drones have to do with domain and range? In this module, students learn about an emerging high-tech delivery system and use that as a vehicle for learning about a function's domain and range. Students will graph data from a table and explore domain and range, and then they graph a continuous function. This highly engaging module will give students a solid understanding of algebraic functions, specifically domain and range.

In this module students will learn the following concepts:

  • Finding the domain and range for a set of coordinates that define a function
  • Finding the domain and range of a continuous function that doesn’t extend to infinity
  • Finding the domain and range of a continuous function that extends to infinity

Algebra Applications Teacher's Guide: Functions and Relations

This is the Teacher's Guide that accompanies Algebra Applications: Functions and Relations.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations

 Applications of Functions and Relations

Algebra Applications Teacher's Guide: Linear Functions

This is the Teacher's Guide that accompanies Algebra Applications: Linear Functions.

To view the full video: https://www.media4math.com/library/video-algebra-applications-linear-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-linear-functions

 Applications of Linear Functions

Algebra Applications Teacher's Guide: Quadratic Functions

This is the Teacher's Guide that accompanies Algebra Applications: Quadratic Functions.

To view the full video: https://www.media4math.com/library/algebra-applications-quadratic-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-quadratic-functions

 Applications of Quadratic Functions

Algebra Nspirations Teacher's Guide: Functions and Relations

This is the Teacher's Guide that accompanies Algebra Nspirations: Functions and Relations.

To view the full video: https://www.media4math.com/library/algebra-nspirations-functions-and-relations

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-functions-and-relations

 Applications of Functions and Relations

Algebra Nspirations Teacher's Guide: Quadratic Functions

This is the Teacher's Guide that accompanies Algebra Nspirations: Quadratic Functions.

The Algebra Nspirations: Quadratic Functions video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-quadratic-functions

Video: Algebra Nspirations: Quadratic Functions: https://www.media4math.com/library/algebra-nspirations-quadratic-functions

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-quadratic-functions

 Applications of Quadratic Functions

VIDEO: Algebra Nspirations: Functions and Relations, Segment 3

In this Investigation we look at functions.

This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link:

• https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-4

A Video Transcript for Functions and Relations, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-2

 Applications of Functions and Relations, Conic Sections, Relations and Functions, Geometric Constructions with Circles

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction

An overview of the key topics to be covered in the video.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

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 AlgApps--LinearFunctions01.jpg Special Functions, Applications of Linear Functions

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil? 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

 AlgApps--LinearFunctions03.jpg Special Functions, Applications of Linear Functions

Definition--Functions and Relations Concepts--Absolute Value Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--AbsoluteValueFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Composite Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--CompositeFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Conic Sections

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ConicSections.png Relations and Functions

Definition--Functions and Relations Concepts--Constant Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ConstantFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Continuous Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--ContinuousFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Decreasing Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DecreasingFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Dependent Variable

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DependentVariable.png Relations and Functions

Definition--Functions and Relations Concepts--Discontinuous Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

Note: The download is a PNG file.

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 Defintion--FunctionsAndRelations--DiscontinuousFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Discrete Functions

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--Discrete-Function.png Relations and Functions

Definition--Functions and Relations Concepts--Distorting a Function Horizontally

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DistoringAFunctionHorizontally.png Relations and Functions

Definition--Functions and Relations Concepts--Distorting a Function Vertically

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DistoringAFunctionVertically.png Relations and Functions

Definition--Functions and Relations Concepts--Domain of a Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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 Defintion--FunctionsAndRelations--DomainOfFunction.png Relations and Functions

Definition--Functions and Relations Concepts--Even Function

This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

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To see the complete collection of Math Definitions on this topic, click on this Link.

 Defintion--FunctionsAndRelations--EvenFunction.png Relations and Functions