Illustrative Math Alignment: Grade 8 Unit 3

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This is part of a collection of math examples that focus on logarithmic functions in tabular and graphic form.

This Teacher's Guide provides an overview of the 21 worked-out examples of graphs of absolute value functions.

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This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point.

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November 2015. In this issue of Math in the News we explore logarithmic functions to model the thawing of frozen turkeys. We look at USDA guidelines to determine data points and use a graphing calculator to create mathematical models.

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August 2013. In this issue we look at Diana Nyad's remarkable swim from Cuba to Florida. It becomes an opportunity to explore Average Speed.

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This is part of a collection of math quizzes on the topic of absolute value functions.

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ary">click on this link.

This is part of a collection of math quizzes on the topic of absolute value functions.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of absolute value functions.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

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ary">click on this link.

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of finding the Equation of a Line Given Two Points.

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Quiz Library

ary">click on this link.

The 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. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-2-cycling

This video includes a Video Transcript: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-transcript-algebra-applications-linear-functions-segment-2-cycling

Exercise 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. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 4: Exercise]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-4-exercise

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? Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Applications: Linear Functions, Segment 3: Oil Exploration]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-3-oil-exploration

Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TI-Nspire features such as sliders and graph transformations. Using exponential functions to model finance applications and a Newton’s law of cooling problem further help students build a solid foundation for these fundamental algebraic concepts. Concepts explored: functions, exponents, exponential functions Note: The download for this resources is the Promethean Flipchart.

Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations Note: The download for this resources is the Promethean Flipchart.

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

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. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations Note: The download for this resources is the Promethean Flipchart.

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-linear-functions

This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Nspirations: Logarithms and Logarithmic Functions]: https://www.media4math.com/library/algebra-nspirations-logarithms-and-logarithmic-functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically Note: The download for this resource is the Promethean Flipchart.

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Rational Functions and Expressions]: https://media4math.com/library/algebra-nspirations-rational-functions-and-expressions

What Are Composite Functions?

In this set of Quizlet flash cards test understanding of functions.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Evaluate linear functions of the form f(x) = ax + b in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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To see other resources related to this topic, click on the Resources tab above.

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.