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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Expressions and Equations

Lesson 10: The Distributive Property, Part 2

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Equation Collection Math Definitions Collection: Solving Equations

Overview

The Equations collection on Media4Math is an invaluable resource for students and educators alike, offering a comprehensive set of definitions related to equations. This collection includes essential terms such as linear equations, quadratic equations, and polynomial equations. Each term is clearly defined, providing students with a solid foundation in understanding the various types of equations they will encounter in their studies.

Numerical and Algebraic Expressions, Applications of Equations and Inequalities, Variable Expressions, Variables and Unknowns, Inequalities, Applications of Linear Functions, Solving Multistep Equations, Numerical Expressions, Solving One-Step Equations, Polynomial Functions and Equations, Quadratic Equations and Functions and Solving Two-Step Equations
Math Videos Math Video Collection: Algebra Applications Video Series: Equations

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Equations. There are a total of 23 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 Equations and Inequalities, Variables and Unknowns and Variable Expressions
Video Definitions: Equations Math Video Definitions Collection: Equations

Overview

This collection aggregates all the video definitions around the topic of Equations. There are a total of 44 videos. This collection of resources is made up of downloadable MP4 files that you can easily incorporate into a presentation.

 

 

 

Numerical and Algebraic Expressions, Applications of Equations and Inequalities, Variable Expressions, Variables and Unknowns, Inequalities, Applications of Linear Functions, Solving Multistep Equations, Numerical Expressions, Solving One-Step Equations, Polynomial Functions and Equations, Quadratic Equations and Functions and Solving Two-Step Equations
Variables Collection Math Definitions Collection: Variables and Unknowns

Overview

This collection aggregates all the definition image cards around the topic of Variables and Unknowns terms and vocabulary. There are a total of 20 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

Variables and Unknowns
VIDEO: Algebra Applications: Variables and Equations VIDEO: Algebra Applications: Variables and Equations VIDEO: Algebra Applications: Variables and Equations

In this episode of Algebra Applications, two real-world explorations are developed: Biology. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Geology. Why do rivers meander instead of traveling in a straight line? In this segment the geological forces that account for a river's motion are explained.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations VIDEO: Algebra Nspirations: Variables and Equations VIDEO: Algebra Nspirations: Variables and Equations

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course--linear and quadratic--in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations Closed Captioned Video: Algebra Applications: Variables and Equations Closed Captioned Video: Algebra Applications: Variables and Equations

In this episode of Algebra Applications, two real-world explorations are developed: Biology. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Geology. Why do rivers meander instead of traveling in a straight line? In this segment the geological forces that account for a river’s motion are explained.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 1: Introduction Closed Captioned Video: Algebra Applications: Variables and Equations, 1 Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 1: Introduction

An overview of the key topics to be covered in the video.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 2: Honey Production Closed Captioned Video: Algebra Applications: Variables and Equations, 2 Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 2: Honey Production

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 3: River Ratios Closed Captioned Video: Algebra Applications: Variables and Equations, 3 Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 3: River Ratios

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river’s motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Algebra Nspirations: Variables and Equations Closed Captioned Video: Algebra Nspirations: Variables and Equations Closed Captioned Video: Algebra Nspirations: Variables and Equations

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course--linear and quadratic--in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 1 Closed Captioned Video: Algebra Nspirations: Variables and Equations, 1 Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 1

In this Investigation we get a historical overview of equations. This video is Segment 1 of a 2 segment series related to Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 3 Closed Captioned Video: Algebra Nspirations: Variables and Equations, 3 Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 3

In this Investigation we solve linear and quadratic equations. This video is Segment 3 of a 4 segment series related to Variables and Equations. Segments 3 and 4 are grouped together.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations

In this video segment, get an overview of variables and equations, along with the evolution of algebraic notation.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b negative Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b negative Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b negative

Video Tutorial: The Distributive Property: a(-x + b), a negative, b negative. In this video use the distributive property with an expression of the form a(-x + b), a negative, b negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b positive Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b positive Closed Captioned Video: The Distributive Property: a(-x + b), a negative, b positive

Video Tutorial: The Distributive Property: a(-x + b), a negative, b positive. In this video use the distributive property with an expression of the form a(-x + b), a negative, b positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(-x + b), all constants positive Closed Captioned Video: The Distributive Property: a(-x + b), all constants positive Closed Captioned Video: The Distributive Property: a(-x + b), all constants positive

Video Tutorial: The Distributive Property: a(-x + b), all constants positive. In this video use the distributive property with an expression of the form a(-x + b), all constants positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b negative Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b negative Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b negative

Video Tutorial: The Distributive Property: a(-x - b), a negative, b negative. In this video use the distributive property with an expression of the form a(-x - b), a negative, b negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b positive Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b positive Closed Captioned Video: The Distributive Property: a(-x - b), a negative, b positive

Video Tutorial: The Distributive Property: a(-x - b), a negative, b positive. In this video, we will use the distributive property with an expression of the form a(-x - b), a negative, b positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(-x - b), all constants positive Closed Captioned Video: The Distributive Property: a(-x - b), all constants positive Closed Captioned Video: The Distributive Property: a(-x - b), all constants positive

Video Tutorial: The Distributive Property: a(-x - b), all constants positive. In this video use the distributive property with an expression of the form a(-x - b), all constants positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx + c), a negative, b and c positive Closed Captioned Video: The Distributive Property: a(bx + c), a negative, b and c positive Closed Captioned Video: The Distributive Property: a(bx + c), a negative, b and c positive

Video Tutorial: The Distributive Property: a(bx + c), a negative, b and c positive. In this video, we will use the distributive property with an expression of the form a(bx + c), a negative, b and c positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx + c), all constants negative Closed Captioned Video: The Distributive Property: a(bx + c), all constants negative Closed Captioned Video: The Distributive Property: a(bx + c), all constants negative

Video Tutorial: The Distributive Property: a(bx + c), all constants negative. In this video use the distributive property with an expression of the form a(bx + c), all negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx + c), all constants positive Closed Captioned Video: The Distributive Property: a(bx + c), all constants positive Closed Captioned Video: The Distributive Property: a(bx + c), all constants positive

Video Tutorial: The Distributive Property: a(bx + c), all constants positive. In this video use the distributive property with an expression of the form a(bx + c), all constants positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx - c), a negative, b and c positive Closed Captioned Video: The Distributive Property: a(bx - c), a negative, b and c positive Closed Captioned Video: The Distributive Property: a(bx - c), a negative, b and c positive

Video Tutorial: The Distributive Property: a(bx - c), a negative, b and c positive. In this video use the distributive property with an expression of the form a(bx - c), a negative, b and c positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx - c), all constants negative Closed Captioned Video: The Distributive Property: a(bx - c), all constants negative Closed Captioned Video: The Distributive Property: a(bx - c), all constants negative

Video Tutorial: The Distributive Property: a(bx - c), all constants negative. In this video, we will use the distributive property with an expression of the form a(bx - c), all negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(bx - c), all constants positive Closed Captioned Video: The Distributive Property: a(bx - c), all constants positive Closed Captioned Video: The Distributive Property: a(bx - c), all constants positive

Video Tutorial: The Distributive Property: a(bx - c), all constants positive. In this video use the distributive property with an expression of the form a(bx - c), all constants positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x + b), a negative, b negative Closed Captioned Video: The Distributive Property: a(x + b), a negative, b negative Closed Captioned Video: The Distributive Property: a(x + b), a negative, b negative

Video Tutorial: The Distributive Property: a(x + b), a negative, b negative. In this video use the distributive property with an expression of the form a(x + b), a negative, b negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x + b), a negative, b positive Closed Captioned Video: The Distributive Property: a(x + b), a negative, b positive Closed Captioned Video: The Distributive Property: a(x + b), a negative, b positive

Video Tutorial: The Distributive Property: a(x + b), a negative, b positive. In this video, we will use the distributive property with an expression of the form a(x + b), a negative, b positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x + b), all constants positive Closed Captioned Video: The Distributive Property: a(x + b), all constants positive Closed Captioned Video: The Distributive Property: a(x + b), all constants positive

Video Tutorial: The Distributive Property: a(x + b), all constants positive. In this video, we will use the distributive property with an expression of the form a(x + b), all constants positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x - b), a negative, b negative Closed Captioned Video: The Distributive Property: a(x - b), a negative, b negative Closed Captioned Video: The Distributive Property: a(x - b), a negative, b negative

Video Tutorial: The Distributive Property: a(x - b), a negative, b negative. In this video, we will use the distributive property with an expression of the form a(x - b), a negative, b negative.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x - b), a negative, b positive Closed Captioned Video: The Distributive Property: a(x - b), a negative, b positive Closed Captioned Video: The Distributive Property: a(x - b), a negative, b positive

Video Tutorial: The Distributive Property: a(x - b), a negative, b positive. In this video use the distributive property with an expression of the form a(x - b), a negative, b positive.

Numerical and Algebraic Expressions
Closed Captioned Video: The Distributive Property: a(x - b), all constants positive Closed Captioned Video: The Distributive Property: a(x - b), all constants positive Closed Captioned Video: The Distributive Property: a(x - b), all constants positive

Video Tutorial: The Distributive Property: a(x - b), all constants positive. In this video, we will use the distributive property with an expression of the form a(x - b), all constants positive.

Numerical and Algebraic Expressions
Definition--Equation Concepts--Constant Term Definition--Equation Concepts--Constant Term Constant Term

Topic

Equations

Definition

A constant term is a term in an algebraic expression that does not contain any variables.

Description

Constant terms are fixed values in algebraic expressions and equations. They do not change because they lack variables. For example, in the expression 

3x + 4

the number 4 is a constant term. Constant terms are essential in forming and solving equations.

Variables and Unknowns
Definition--Equation Concepts--Isolating the Variable Definition--Equation Concepts--Isolating the Variable Isolating the Variable

Topic

Equations

Definition

Isolating the variable involves manipulating an equation to get the variable alone on one side.

Description

Isolating the variable is a fundamental technique in algebra used to solve equations. It involves performing operations to both sides of an equation to get the variable by itself. For example, solving 

2x + 3 = 7

involves subtracting 3 and then dividing by 2 to isolate x, resulting in x = 2.

Variables and Unknowns
Definition--Equation Concepts--The Unknown Definition--Equation Concepts--The Unknown The Unknown

Topic

Equations

Definition

The unknown is the variable in an equation that needs to be solved for.

Description

The unknown in an equation represents the value that needs to be determined. For example, in the equation 

x + 3 = 7

x is the unknown. Identifying and solving for the unknown is a core aspect of algebra.

In real-world applications, finding the unknown is crucial for solving problems in various fields such as science, engineering, and finance. Understanding how to identify and solve for the unknown helps students develop problem-solving skills and apply mathematical concepts to real-life situations.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Algebraic Expression Definition--Variables, Unknowns, and Constants--Algebraic Expression Definition--Variables, Unknowns, and Constants--Algebraic Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Assigning Values to Variables Definition--Variables, Unknowns, and Constants--Assigning Values to Variables Definition--Variables, Unknowns, and Constants--Assigning Values to Variables

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Coefficient Definition--Variables, Unknowns, and Constants--Coefficient What Is a Coefficient?

This is part of a series of definitions that focus on constants, variables, and coefficients. These definition cards can easily be incorporated into a lesson plan.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions on this topic, click on this link.

The following section provides a brief review of number properties that are helpful in working with numerical and variable expressions.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant Definition--Variables, Unknowns, and Constants--Constant Definition--Variables, Unknowns, and Constants--Constant

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant of Proportionality Definition--Variables, Unknowns, and Constants--Constant of Proportionality Definition--Variables, Unknowns, and Constants--Constant of Proportionality

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant of Variation Definition--Variables, Unknowns, and Constants--Constant of Variation Definition--Variables, Unknowns, and Constants--Constant of Variation

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant Term Definition--Variables, Unknowns, and Constants--Constant Term Definition--Variables, Unknowns, and Constants--Constant Term

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Models for  Numbers Definition--Variables, Unknowns, and Constants--Models for Numbers Definition--Variables, Unknowns, and Constants--Models for Numbers

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Models for Variables Definition--Variables, Unknowns, and Constants--Models for Variables Definition--Variables, Unknowns, and Constants--Models for Variables

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Numerical Expression Definition--Variables, Unknowns, and Constants--Numerical Expression Definition--Variables, Unknowns, and Constants--Numerical Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Parameter Definition--Variables, Unknowns, and Constants--Parameter Definition--Variables, Unknowns, and Constants--Parameter

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Random Variable Definition--Variables, Unknowns, and Constants--Random Variable Definition--Variables, Unknowns, and Constants--Random Variable

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Range of a Variable Definition--Variables, Unknowns, and Constants--Range of a Variable Definition--Variables, Unknowns, and Constants--Range of a Variable

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Solving for the Unknown Definition--Variables, Unknowns, and Constants--Solving for the Unknown Definition--Variables, Unknowns, and Constants--Solving for the Unknown

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

Variables and Unknowns