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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 10: Piecewise Linear Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Quizlet Flash Cards Quizlet Flash Card Collection: Point-Slope Form

Overview

This is a collection of Quizlet Flash Cards on the topic of the Point-Slope Form. There is one Quizlet Flash Card set.

 

 

Point-Slope Form
Math Videos Math Video Collection: Algebra Applications Video Series: Functions and Relations

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Functions and Relations. There are a total of 26 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Applications of Functions and Relations, Conic Sections, Relations and Functions, Quadratic Equations and Functions and Geometric Constructions with Circles
Math Videos Math Video Collection: Algebra Applications Video Series: Linear Functions

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Linear Functions. There are a total of 26 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Special Functions, Applications of Linear Functions and Graphs of Linear Functions
Math Videos Math Video Collection: Video Tutorials Series: Linear Functions

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Linear Functions. There are a total of 18 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Graphs of Linear Functions
Desmos Resource Desmos Algebra Activities

Overview

This is a collection of graphing calculator activities, videos, and tutorials that cover a wide range of algebra topics. Some of these activities include companion worksheets. 

 

 

 

Special Functions, Slope-Intercept Form, Quadratic Equations and Functions, Graphs of Linear Functions, Radical Functions and Equations, Trigonometric Functions, Standard Form, Applications of Linear Functions, Point-Slope Form, Applications of Exponential and Logarithmic Functions, Graphs of Exponential and Logarithmic Functions, Graphs of Quadratic Functions, Rational Functions and Equations, Slope and Proportions
Test Prep Test Prep Interactive Quizzes

Addition Facts to 10, Addition Facts to 25, Addition Facts to 100, Place Value, Subtraction Facts to 100, Definition of an Angle, Solving One-Step Equations, Graphs of Linear Functions, Slope, Slope-Intercept Form and Counting
Functions Collection Math Definitions Collection: Functions and Relations

Overview

The "Functions and Relations" collection from Media4Math provides a comprehensive set of definitions essential for understanding key mathematical concepts. This collection includes terms such as domain, range, function, relation, inverse function, and composite function. These definitions are crucial for students as they form the foundation for more advanced topics in mathematics, such as calculus and algebra.

Special Functions, Composite Functions, Conic Sections, Relations and Functions and Functions and Their Inverses
Math Games Math Games Collection: Jeopardy

Overview

This is a collection of all our Jeopardy math games. There are a total of 7 games.

Each Jeopardy game comes with a large bank of questions, so each game experience is unique. These games are great for practice and review.

 

Addition Facts to 25, Addition Facts to 100, Subtraction Facts to 100, Add and Subtract Fractions, Graphs of Linear Functions, Slope-Intercept Form, Graphs of Quadratic Functions and Numerical and Algebraic Expressions
Drag N Drop Math Games Collection: Drag-N-Drop

Overview

This is a collection of all our drag-n-drop math games. There are a total of 34 games. These games cover a variety of different skills. Each comes with a large bank of questions, so each game experience will be different. These games are ideal for practice and review.

 

 

Addition Facts to 25, Counting, Subtraction Facts to 25, Place Value, Polynomial Expressions, Division Expressions and Equations, Point-Slope Form, Slope-Intercept Form, Standard Form, Slope, Applications of Linear Functions, Quadratic Equations and Functions, Data Analysis, Multiplication Expressions and Equations, Solving One-Step Equations, Quadratic Formula, Numerical Expressions, Variable Expressions and Solving Two-Step Equations
Collection Quadratics Collection: Texas Instruments Graphing Calculator Resources  

A set of resources for the TI-Nspire, TI-Nspire CX, and the Nspire App.

 

Applications of Quadratic Functions, Graphs of Quadratic Functions, Quadratic Formula, Data Analysis, Quadratic Equations and Functions, Inequalities and Composite Functions
Quizlet Flash Cards Quizlet Flash Card Collection: Slope

Overview

This is a collection of Quizlet Flash Cards on the topic of Slope. There are 11 Quizlet Flash Card sets.

 

To see the complete collection of Quizlet Flash Cards, click on this link.  

 

Slope and Slope-Intercept Form
Math Tutorials Math Tutorials Collection: Applications of Linear Functions

Overview

This collection aggregates a set of tutorials on Applications of Linear Functions. There are a total of 10 tutorials.
Applications of Linear Functions and Proportions
Math in the News Math in the News Collection: Applications of Data Analysis

Overview

This is a collection of Math in the News stories that focus on the topic of Data Analysis.

 

 

 
Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates
point-slope form Interactive Media Collection: Point-Slope Form

Overview

This collection aggregates all the math videos and other resources on the topic of the Point-Slope Form. There are seven resources. 

 

Point-Slope Form, Slope-Intercept Form, Calculus Vocabulary, Applications of Linear Functions and Graphs of Linear Functions
Interactive Media Collection: Linear Equations in Standards Form Interactive Media Collection: Linear Equations in Standards Form

Overview

This collection aggregates all the math videos and other resources on the topic of Linear Equations in Standard Form. here are seven resources. 

 

Standard Form
Parallel Lines Interactive Media Collection: Parallel Lines

Overview

This collection aggregates all the math videos and other resources on the topic of Parallel Lines. There are 13 resources. 

 

Point-Slope Form, Slope-Intercept Form, Parallel Lines, Slope, Definition of a Quadrilateral and Perpendicular Lines
Math Examples Math Examples Collection: Graphical Solutions to Rational Equations

Overview

This collection aggregates a set of math examples on the topic of Graphical Solutions to Rational Equations. There are 10 examples.

 

Rational Functions and Equations
Math Examples Math Examples Collection: Graphs of Rational Functions

Overview

This collection of 28 math examples focuses on the topic of Graphs of Rational Functions, offering a comprehensive resource for students and educators alike. The examples cover a wide range of skills and concepts related to rational functions, progressively increasing in complexity to challenge learners at various levels of understanding.

Rational Functions and Equations
Collection Quadratics Collection: Instructional Resources  

Here is a collection of PowerPoint presentations on selected topics in Quadratics.

 

Quadratic Equations and Functions, Applications of Quadratic Functions, Graphs of Quadratic Functions, Numerical and Algebraic Expressions and Quadratic Formula
Collection Linear Functions and Equations Collection: Algebra Applications Videos Real-world applications of linear functions and equations through this video series. Special Functions and Applications of Linear Functions
Collection Linear Functions and Equations Collection: Video Tutorials

Overview

This collection of videos analyzes linear functions in slope-intercept form. There are a total of 18 videos. 

 

Graphs of Linear Functions, Standard Form, Point-Slope Form, Slope, Special Functions and Applications of Linear Functions
Collection Linear Functions and Equations Collection: Instructional Resources A collection of PowerPoint presentations on various topics in Linear Equations and Functions. Slope-Intercept Form, Standard Form, Point-Slope Form, Graphs of Linear Functions and Applications of Linear Functions
Collection Linear Functions and Equations Collection: Applications of Linear Functions

Here are a number of PowerPoint presentations that focus on different applications of linear functions.

Applications of Linear Functions, Proportions and Definition of a Polygon
Collection Functions and Relations Collection: Basic Definitions Here are key terms in the topic of Functions and Relations. Relations and Functions and Conic Sections
Collection Linear Functions and Equations Collection: Texas Instruments Graphing Calculator Resources This is a collection of TI resources on the topic of Linear Functions and Equations. Graphs of Linear Functions, Slope-Intercept Form and Slope
Collection Measures of Central Tendency: Basic Terms and Definitions

 

Here we gather key terms, definitions, and formulas around Measures of Central Tendency.

 

Data Analysis and Relations and Functions
Collection Topic Collection: Desmos Resources: Instructional Resources

This is a collection of instructional resources that use the Desmos graphing calculator. These are Google Slide Shows. Subscribers can download these as PPT presentation.

Graphs of Linear Functions, Slope-Intercept Form, Standard Form, Applications of Linear Functions, Point-Slope Form, Graphs of Quadratic Functions, Special Functions, Applications of Exponential and Logarithmic Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations and Trigonometric Functions
Collection Linear Functions and Equations Collection: Promethean Flipcharts This is a collection of Promethean Flipcharts that focus on Linear Functions and Equations. Applications of Linear Functions
Algebra Applications Teacher's Guide: Linear Functions Algebra Applications Teacher's Guide: Linear Functions Algebra Applications Teacher's Guide: Linear Functions

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

Applications of Linear Functions
Algebra Nspirations Teacher's Guide: Inequalities Algebra Nspirations Teacher's Guide: Inequalities Algebra Nspirations Teacher's Guide: Inequalities

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

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 Equations and Inequalities
VIDEO: Algebra Nspirations: Linear Functions VIDEO: Algebra Nspirations: Linear Functions 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. 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.

Applications of Linear Functions
Brief Review 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.

Standard Form
Closed Captioned Video:  Algebra Applications: Linear Functions, Segment 2: Cycling Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Applications: Linear Functions Closed Captioned Video: Algebra Applications: Linear Functions Closed Captioned Video: Algebra Applications: Linear Functions

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction Closed Captioned Video: Algebra Applications: Linear Functions, 1 Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction

Linear Expressions, Equations, and Functions

Linear Expres
Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Closed Captioned Video: Algebra Applications: Linear Functions, 3 Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

Linear Expressions, Equations, and Functions

Linear Exp
Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Applications: Linear Functions, Segment 4: Exercise Closed Captioned Video: Algebra Applications: Linear Functions, 4 Closed Captioned Video: Algebra Applications: Linear Functions, Segment 4: Exercise

Linear Expressions, Equations, and Functions

Linear Expression
Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Nspirations: Linear Functions Closed Captioned Video: Algebra Nspirations: Linear Functions Closed Captioned 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. 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.

Applications of Linear Functions
Closed Captioned Video: Algebra Nspirations: Linear Functions, Segment 1 Closed Captioned Video: Algebra Nspirations: Linear Functions, 1 Closed Captioned 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.

Applications of Linear Functions
Closed Captioned Video: Algebra Nspirations: Linear Functions, Segment 3 Closed Captioned Video: Algebra Nspirations: Linear Functions, 3 Closed Captioned 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.

Applications of Linear Functions
Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Negative y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a negative y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Positive y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a positive y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Negative Slope, Zero y-Intercept

Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a negative slope and a zero y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Negative y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a negative y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Positive y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a positive y-intercept.

Graphs of Linear Functions
Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept Closed Captioned Video: Linear Functions: Positive Slope, Zero y-Intercept

Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept. In this video tutorial, students learn the basics of linear functions in slope-intercept form. In particular, look at the case of a linear function with a positive slope and a zero y-intercept.

Graphs of Linear Functions
Definition--AbsoluteValueFunctions.jpg Definition--Absolute Value Function Definition--Absolute Value Function

This is part of a collection of math definitions from Media4Math's Visual Glossary.

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

 

 

Topic

Functions and Relations

Definition

An absolute value function is a function that contains an algebraic expression within absolute value symbols. It is defined as 

$$ f(x) = |x| $$

where |x| denotes the absolute value ofx.

Description

The absolute value function is significant in mathematics because it measures the distance of a number from zero on the number line, regardless of direction. This function is linear in nature, as it can be broken into two linear pieces: one for 

$$ x \geq 0 $$

 and one for 

$$ x < 0 $$

Special Functions
Definition--Functions and Relations Concepts--Composite Function Definition--Functions and Relations Concepts--Composite Function Composite Function

Topic

Functions and Relations

Definition

A composite function is a function that is formed when one function is applied to the result of another function.

Description

Composite functions are significant in mathematics because they allow the combination of two functions to form a new function. This is denoted as (f∘g)(x) = f(g(x)). Composite functions are widely used in various fields, including computer science for function composition in programming and in calculus for chain rule applications. For example, if f(x) = 2x and g(x) = x + 3, then the composite function 

(f∘g)(x) = f(g(x)) = 2(x + 3) = 2x+6

Composite Functions
Definition--Functions and Relations Concepts--Conic Sections Definition--Functions and Relations Concepts--Conic Sections Conic Sections

Topic

Functions and Relations

Definition

Conic sections are the curves obtained by intersecting a plane with a double-napped cone.

Description

Conic sections include circles, ellipses, parabolas, and hyperbolas, which are fundamental in the study of geometry and algebra. These shapes are described by quadratic equations and have numerous applications in physics, engineering, and astronomy. For example, the orbits of planets are ellipses, and parabolic mirrors are used in telescopes and satellite dishes. The general quadratic equation for conic sections is 

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

Conic Sections