Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 14: Using Linear Relations to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Quizlet Flash Cards: Analyzing Linear Functions Quizlet Flash Cards: Analyzing Linear Functions Description

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

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

Related Resources

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.

Slope-Intercept Form
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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 02 Quizlet Flash Cards: Evaluating Linear Functions, Set 02 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 03 Quizlet Flash Cards: Evaluating Linear Functions, Set 03 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 04 Quizlet Flash Cards: Evaluating Linear Functions, Set 04 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 05 Quizlet Flash Cards: Evaluating Linear Functions, Set 05 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 06 Quizlet Flash Cards: Evaluating Linear Functions, Set 06 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 07 Quizlet Flash Cards: Evaluating Linear Functions, Set 07 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 08 Quizlet Flash Cards: Evaluating Linear Functions, Set 08 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 09 Quizlet Flash Cards: Evaluating Linear Functions, Set 09 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Evaluating Linear Functions, Set 10 Quizlet Flash Cards: Evaluating Linear Functions, Set 10 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

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.

Applications of Linear Functions
Quizlet Flash Cards: Inverse Linear Functions, Set 01 Quizlet Flash Cards: Inverse Linear Functions, Set 01 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 02 Quizlet Flash Cards: Inverse Linear Functions, Set 02 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 03 Quizlet Flash Cards: Inverse Linear Functions, Set 03 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 04 Quizlet Flash Cards: Inverse Linear Functions, Set 04 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 05 Quizlet Flash Cards: Inverse Linear Functions, Set 05 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 06 Quizlet Flash Cards: Inverse Linear Functions, Set 06 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 07 Quizlet Flash Cards: Inverse Linear Functions, Set 07 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 08 Quizlet Flash Cards: Inverse Linear Functions, Set 08 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 09 Quizlet Flash Cards: Inverse Linear Functions, Set 09 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Inverse Linear Functions, Set 10 Quizlet Flash Cards: Inverse Linear Functions, Set 10 Description

In this set of interactive flash cards, find the inverse of a given linear function.

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

Related Resources

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.

Functions and Their Inverses
Quizlet Flash Cards: Non-linear Systems Quizlet Flash Cards: Non-linear Systems Description

In this set of Quizlet flash cards test understanding of nonlinear systems.

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

Related Resources

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.

Solving Systems of Equations
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 01

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 02

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 03

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 04

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 05

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 06

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 07

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 08

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 09

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Slope Formula, Set 10

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

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

Related Resources

To see the complete collection of Quizlet Flash Cards on this topic, click on this link: https://bit.ly/36XwrY6
Slope
QuizletFlashCards.jpg Quizlet Flash Cards: Solving Systems Using the Elimination Method

In this set of Quizlet flash cards test understanding of solving systems using the elimination method.

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

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
QuizletFlashCards.jpg Quizlet Flash Cards: Solving Systems Using the Substitution Method

In this set of Quizlet flash cards test understanding of solving systems using the substitution method.

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

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
QuizletFlashCards.jpg Quizlet Flash Cards: Systems of Linear Equations

In this set of Quizlet flash cards test understanding of linear systems.

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

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Solving Systems of Equations
Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

To see the complete of these quizzes, click on this link. Note: The download is the teacher's guide.

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.

Graphs of Linear Functions, Slope and Slope-Intercept Form
TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions

In this TI-84 tutorial we show how to graph linear functions and trace their coordinates. Note: The download is a PPT file.

Graphs of Linear Functions
Video Definition 1--Linear Function Concepts--Linear Function Video Definition 1--Linear Function Concepts--Linear Function Video Definition 1--Linear Function Concepts--Linear Function

Topic

Linear Functions

Description

The term is "Linear Function," defined as a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept. This term provides the basic definition of linear functions, integral to understanding their behavior and applications.

Slope-Intercept Form
Video Definition 10--Linear Function Concepts--y-Intercept Video Definition 10--Linear Function Concepts--y-Intercept Video Definition 10--Linear Function Concepts--y-Intercept

Topic

Linear Functions

Description

The term is "y-Intercept," defined as the point on the y-axis where a linear function intersects. In slope-intercept form, it is designated as b in y = mx + b. This term complements the x-intercept by focusing on the vertical axis, completing the understanding of graph interactions.

Slope-Intercept Form
Video Definition 11--Linear Function Concepts--x-Intercept Video Definition 11--Linear Function Concepts--x-Intercept Video Definition 11--Linear Function Concepts--x-Intercept

Topic

Linear Functions

Description

The term is "x-Intercept," defined as the point on the x-axis where a linear function intersects, calculated as x = -b/m when y = 0 in the equation y = mx + b. This term provides insight into the graphical representation of linear functions and their interaction with the x-axis.

Slope-Intercept Form
Video Definition 12--Linear Function Concepts--Rate of Change Video Definition 12--Linear Function Concepts--Rate of Change Video Definition 12--Linear Function Concepts--Rate of Change

Topic

Linear Functions

Description

The term is "Rate of Change," defined as the slope, interpreted as the rate at which the dependent variable changes relative to the independent variable. An example is speed as a rate of change of distance over time. This term highlights the application of slope in real-world scenarios, making the concept more tangible and relatable.

Slope
Video Definition 13--Linear Function Concepts--Equations of Perpendicular Lines Video Definition 13--Linear Function Concepts--Equations of Perpendicular Lines Video Definition 13--Linear Function Concepts--Equations of Perpendicular Lines

Topic

Linear Functions

Description

The term is "Equations of Perpendicular Lines," defined as two linear functions with graphs that are perpendicular. Their slopes are negative reciprocals, represented as y1 = mx + b1 and y2 = -1/m * x + b2. This term explores the relationship between slopes of perpendicular lines, deepening understanding of linear graph orientations.

Slope-Intercept Form
Video Definition 14--Linear Function Concepts--Equations of Parallel Lines Video Definition 14--Linear Function Concepts--Equations of Parallel Lines Video Definition 14--Linear Function Concepts--Equations of Parallel Lines

Topic

Linear Functions

Description

The term is "Equations of Parallel Lines," defined as two linear functions with parallel graphs that have the same slope but different y-intercepts. Represented as y1 = mx + b1 and y2 = mx + b2, where m is the slope. This term explains the geometric relationship of parallel lines, reinforcing the role of slope in linear functions.

Slope-Intercept Form
Video Definition 15--Linear Function Concepts--Linear Equations in Standard Form Video Definition 15--Linear Function Concepts--Linear Equations in Standard Form Video Definition 15--Linear Function Concepts--Linear Equations in Standard Form

Topic

Linear Functions

Description

The term is "Linear Equation in Standard Form," defined as a linear equation with two variables and three constant terms, represented as Ax + By = C where A and B are not equal to zero. This term sets the stage for converting between forms of linear equations, essential for solving and graphing.

Standard Form
Video Definition 16--Linear Function Concepts--Converting from Standard Form to Slope-Intercept Form Video Definition 16--Linear Function Concepts--Converting from Standard Form to Slope-Intercept Form Video Definition 16--Linear Function Concepts--Converting from Standard Form to Slope-Intercept Form

Topic

Linear Functions

Description

The term is "Converting from Standard Form to Slope-Intercept Form," defined as rewriting a linear equation in the form y = mx + b using the constants from the standard form Ax + By = C. The conversion formula is y = -A/B * x + C/B. This term is crucial for transitioning between different representations of linear equations, enabling easier analysis and graphing.

Slope-Intercept Form
Video Definition 17--Linear Function Concepts--Direct Variation Video Definition 17--Linear Function Concepts--Direct Variation Video Definition 17--Linear Function Concepts--Direct Variation

Topic

Linear Functions

Description

The term is "Direct Variation," defined as a linear function of the form y = kx, where k is the constant of variation. Graphs of direct variations cross the origin, and the constant of variation is the slope of the graph. This term emphasizes proportional relationships in linear functions, highlighting their simplicity and graphical characteristics.

Slope-Intercept Form
Video Definition 18--Linear Function Concepts--Line of Best Fit Video Definition 18--Linear Function Concepts--Line of Best Fit Video Definition 18--Linear Function Concepts--Line of Best Fit

Topic

Linear Functions

Description

The term is "Line of Best Fit," defined as a linear function that serves as a model for a set of scatterplot data. It helps represent the central trend of data points. This term enhances understanding of linear functions in the context of data analysis and graphical trends.

Graphs of Linear Functions
Video Definition 19--Linear Function Concepts--Slope Video Definition 19--Linear Function Concepts--Slope Video Definition 19--Linear Function Concepts--Slope

Topic

Linear Functions

Description

The term is "Slope of a Line," defined as the ratio of the rise over the run, or the change in vertical distance over the change in horizontal distance. Represented as m in the equation y = mx + b. This term is a fundamental component of linear equations, providing a measure of steepness and direction.

Slope
Video Definition 2--Linear Function Concepts--Constant Function Video Definition 2--Linear Function Concepts--Constant Function Video Definition 2--Linear Function Concepts--Constant Function

Topic

Linear Functions

Description

The term is "Constant Function," defined as a linear function of the form y = b, where b is the y-intercept. The graph of a constant function is horizontal with a slope of m = 0. An example graph is shown with a horizontal line at y = b. This term demonstrates a special case of linear functions, emphasizing the role of constant values and their graphical representation as horizontal lines.

Slope-Intercept Form
Video Definition 20--Linear Function Concepts--System of Linear Equations Video Definition 20--Linear Function Concepts--System of Linear Equations Video Definition 20--Linear Function Concepts--System of Linear Equations

Topic

Linear Functions

Description

The term is "System of Linear Equations," defined as a collection of linear equations where the number of equations matches the number of variables, allowing for an algebraic solution. Examples include 2-variable and 3-variable systems. This term introduces the concept of interacting linear equations, paving the way for multi-variable problem-solving.

Applications of Linear Functions and Graphs of Linear Functions