These are the resources that support this Common Core Standard.
CCSS.MATH.CONTENT.8.F.B.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
There are 79 resources.| Title | Description | Thumbnail Image |
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Linear Function Models |
DescriptionIn this module students learn the properties of linear functions. They look at data sets, graphs of coordinates, and algebraic representations of functions. Then students go on a field trip to the US Mint to see how money is printed. |
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Linear Functions: Distance vs. Time |
DescriptionIn this module students apply their knowledge of linear functions to the context of distance vs. time graphs. They look at data sets, graphs of coordinates, and algebraic representations of distance vs. time functions. Then students go on a field trip to a Nascar race to see how timing at the pit stop has an impact on distance vs. |
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Slope and Grade |
DescriptionIn this lesson students learn how to use the slope formula to calculate steepness. In particular, students learn how to calculate steepness in the context of cycling. Cyclists use a measure called grade to calculate the steepness of a hill or mountain. Students apply their knowledge of slope to the concept of grade. |
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Applications of Linear Functions: Hooke's Law |
DescriptionIn 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. |
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Applications of Linear Functions: Speed and Acceleration |
DescriptionWhen a rocket is launched into space, it starts from rest and within minutes reaches speeds of tens of thousands kilometers per hour. In other words, the rocket accelerates. |
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Applications of Linear Functions: Temperature Conversion |
DescriptionTemperature is one of the most important measurements that we deal with on a daily basis. Weather, climate, food preparation, health, and other phenomena involve some type of temperature measure. The two most common units of temperature measure are Fahrenheit and Celsius. |
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What Is Function Notation? |
DescriptionCheetahs can accelerate up to 75 mph and can easily outpace a gazelle. But gazelles have adapted to keep cheetahs at bay long enough to tire them out. We can analyze this phenomenon mathematically through the use of some basic concepts involving functions. |
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Wildlife Refuge |
DescriptionIn this module students use their geometry and algebra skills to analyze a wildlife refuge in Nevada. Calculating the area, perimeter, and the ratio of the two allows students to analyze different configurations for a refuge. Specifically, they look at ways of designing a wild horse refuge, using the concepts they have learned. |
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Why Are Castles So Tall? |
DescriptionIn this module students explore indirect measurement by seeing how simple angle measure, height measurements, and tangent ratios can be used to calculate distances. The context of castles provides a historically relevant military purpose for the tallness of castles. |
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Algebra Application: Creating an Exercise Chart |
In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include: Mathematical modeling |
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Algebra Application: Linear Functions: Circumference vs. Diameter |
In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling |
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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-fu… |
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Algebra Nspirations Teacher's Guide: Linear Functions |
This is the Teacher's Guide that accompanies Algebra Nspirations: Linear Functions. This video, Algebra Nspirations: Linear Functions, includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations… |
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VIDEO: Algebra Nspirations: Linear Functions |
In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. |
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VIDEO: Algebra Nspirations: Linear Functions, Segment 1 |
In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Linear Functions, Segment 2, click the following link: |
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VIDEO: Algebra Nspirations: Linear Functions, Segment 2 |
In this Math Lab we explore slope in the context of the steepness of staircases. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Linear Functions, Segment 2, click the following link: |
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VIDEO: Algebra Nspirations: Linear Functions, Segment 3 |
In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Linear Functions, Segment 4, click the following link: |
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VIDEO: Algebra Nspirations: Linear Functions, Segment 4 |
In this Math Lab we explore a linear model through a data-gathering activity. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Linear Functions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Linear Functions, Segment 3, click the following link: |
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Brief Review: Linear Equations in Standard Form |
In this presentation we show how to convert a linear equation in Standard Form to a linear function in Slope Intercept Form. We go over the reason for such a conversion and applications that give rise to these equations. Note: The download is a PPT. |
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Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling |
DescriptionThe relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope. |
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Closed Captioned Video: Algebra Applications: Linear Functions |
DescriptionIn this episode of Algebra Applications, three real-world explorations of linear functions are developed: Sports. The relationship between slope and grade in cycling is explored. Oil Exploration. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. Health. |
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Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction |
DescriptionAn overview of the key topics to be covered in the video. A Video Transcript is available for this tutorial. |
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Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration |
DescriptionThe 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? |
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Closed Captioned Video: Algebra Applications: Linear Functions, Segment 4: Exercise |
DescriptionExercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function. |
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Closed Captioned Video: Algebra Nspirations: Linear Functions |
DescriptionIn this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. |
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