Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 4: Tables, Equations, and Graphs of Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
LogarithmicFunctionsTablesGraphs--Example72.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 72 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 72

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example73.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 73 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 73

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example74.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 74 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 74

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example75.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 75 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 75

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example76.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 76 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 76

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example77.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 77 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 77

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example78.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 78 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 78

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example79.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 79 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 79

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example80.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 80 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 80

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example81.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 81 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 81

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example82.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 82 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 82

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example83.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 83 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 83

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example84.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 84 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 84

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example85.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 85 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 85

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example86.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 86 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 86

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example87.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 87 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 87

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example88.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 88 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 88

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example89.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 89 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 89

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example90.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 90 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 90

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example91.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 91 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 91

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example92.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 92 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 92

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example93.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 93 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 93

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example94.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 94 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 94

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example95.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 95 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 95

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example96.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 96 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 96

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example97.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 97 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 97

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example98.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 98 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 98

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

Exponential and Logarithmic Functions and Equations
LogarithmicFunctionsTablesGraphs--Example99.jpg Math Example: Logarithmic Functions in Tabular and Graph Form: Example 99 Math Example: Logarithmic Functions in Tabular and Graph Form: Example 99

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

Exponential and Logarithmic Functions and Equations
MATH EXAMPLES--Teacher's Guide: Absolute Value Functions MATH EXAMPLES--Teacher's Guide: Absolute Value Functions MATH EXAMPLES--Teacher's Guide: Absolute Value Functions

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

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

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

Special Functions
MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines MATH EXAMPLES--Teacher's Guide: Equations of Parallel and Perpendicular Lines

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.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

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

Applications of Linear Functions and Graphs of Linear Functions
Math in the News: Issue 107--Thanksgiving Temps Math in the News: Issue 107--Thanksgiving Temps Math in the News: Issue 107--Thanksgiving Temps

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.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

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

Applications of Exponential and Logarithmic Functions
Math in the News: Issue 75--A Swim for the Ages Math in the News: Issue 75--A Swim for the Ages Math in the News: Issue 75--A Swim for the Ages

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.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

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

Data Analysis
Paper-and-Pencil Quiz: Absolute Value Functions (Easy) Paper-and-Pencil Quiz: Absolute Value Functions (Easy) Paper-and-Pencil Quiz: Absolute Value Functions (Easy)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Absolute Value Functions (Hard) Paper-and-Pencil Quiz: Absolute Value Functions (Hard) Paper-and-Pencil Quiz: Absolute Value Functions (Hard)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Absolute Value Functions (Medium) Paper-and-Pencil Quiz: Absolute Value Functions (Medium) Paper-and-Pencil Quiz: Absolute Value Functions (Medium)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Special Functions
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Easy)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Hard)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Point-Slope Form and Slope-Intercept Form
Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium) Paper-and-Pencil Quiz: Equation of a Line Given Two Points (Medium)

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

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Point-Slope Form and Slope-Intercept Form
Promethean Flipchart: Algebra Applications: Cycling

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

Applications of Linear Functions
Promethean Flipchart: Algebra Applications: Exercise

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

Applications of Linear Functions
Promethean Flipchart: Algebra Applications: Oil Drilling

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

Applications of Linear Functions
Promethean Flipchart: Algebra Nspirations: Exponential Functions

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.

Applications of Exponential and Logarithmic Functions
Promethean Flipchart: Algebra Nspirations: Functions and Relations

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

Applications of Functions and Relations
Promethean Flipchart: 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. 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

Applications of Linear Functions
Promethean Flipchart: Algebra Nspirations: Logarithmic 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

Applications of Exponential and Logarithmic Functions
Promethean Flipchart: Algebra Nspirations: Quadratic 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.

Applications of Quadratic Functions
Promethean Flipchart: Algebra Nspirations: Rational Functions

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

Rational Functions and Equations
Quizlet Flash Cards: Composite Functions Quizlet Flash Cards: Composite Functions Quizlet Flash Cards: Composite Functions

What Are Composite Functions?

Modeling Functions

Composite Functions
Quizlet Flash Cards: Evaluating Functions Quizlet Flash Cards: Evaluating Functions Description

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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Quizlet Library

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Relations and Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 01 Quizlet Flash Cards: Evaluating Linear Functions, Set 01 Description

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.

Related Resources

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Quizlet Library

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

Applications of Linear Functions