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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 6: Strategic Solving

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Worksheets Math Worksheet Collection: Solving Two-Step Equations

Overview

This collection aggregates all the math worksheets around the topic of Solving Two-Step Equations. There are a total of 20 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

To download the full set of these resources, click on this link.

 

Solving Two-Step Equations
Math Videos Math Video Collection: Video Tutorials Series: Algebra Tiles

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Algebra Tiles. There are a total of 57 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Algebra Tiles--Expressions and Equations
Math Videos Math Video Collection: Video Tutorials Series: Solving One-Step Equations

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: One-Step Equations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Solving One-Step Equations
Math Videos Math Video Collection: Video Tutorials Series: Two-Step Equations

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Two-Step Equations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Solving Two-Step Equations
Math Videos Math Video Collection: Anatomy of an Equation

Overview

This collection aggregates all the math videos and resources in this series: Anatomy of an Equation. There are a total of 105 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Solving One-Step Equations, Solving Two-Step Equations, Quadratic Equations and Functions and Standard Form
Collection Integers: Algebra Tiles Models

Here we gather the resources that support the use of algebra tiles to model integers.

Algebra Tiles--Expressions and Equations and Numerical and Algebraic Expressions
Algebra Applications Teacher's Guide: Equations Algebra Applications Teacher's Guide: Equations Algebra Applications Teacher's Guide: Equations

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

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 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
Algebra Nspirations Teacher's Guide: Variables and Equations Algebra Nspirations Teacher's Guide: Variables and Equations Algebra Nspirations Teacher's Guide: Variables and Equations

This is the Teacher's Guide that accompanies Algebra Nspirations: Variables and Equations.

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: Inequalities VIDEO: Algebra Nspirations: Inequalities VIDEO: Algebra Nspirations: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities--concepts, properties, solutions, and notations--connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities.

Applications of Equations and Inequalities and Inequalities
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: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities—concepts, properties, solutions, and notations— connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1 Closed Captioned Video: Algebra Nspirations: Inequalities, 1 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1

In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3 Closed Captioned Video: Algebra Nspirations: Inequalities, 3 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3

In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together.

Applications of Equations and Inequalities and Inequalities
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: Algebra Tiles: Modeling Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling Equations Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model equations using algebra tiles.

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles. In this tutorial, students review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model multi-step equations using algebra tiles.

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles. In this tutorial, review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model one-step equations using algebra tiles.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles. In this tutorial, students review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model two-step equations using algebra tiles.

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles

Video Tutorial: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles. In this tutorial, students review how to model equations with algebra tiles. Then the video focuses on how to solve multi-step equations with algebra tiles.

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Algebra Tiles: Solving Two-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving Two-Step Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Solving Two-Step Equations Using Algebra Tiles

Description

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section reviews the basics of algebra tiles. Use this material as background material, and also as a supplement to the video series.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations

In this video learn the mechanics of solving one-step equations involving division. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations

In this video learn the mechanics of solving one-step equations involving multiplication. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition

Video Tutorial: One-Step Equations: Addition. In this video, get an overview of one-step equations and how to solve them. In particular, look at one-step addition equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division

Video Tutorial: One-Step Equations: Division. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step division equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication

Video Tutorial: One-Step Equations: Multiplication. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step multiplication equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction

Video Tutorial: One-Step Equations: Subtraction. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step subtraction equations.

Solving One-Step Equations
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: Two-Step Equations: Division and Addition Closed Captioned Video: Two-Step Equations: Division and Addition Closed Captioned Video: Two-Step Equations: Division and Addition

Video Tutorial: Two-Step Equations: Division and Addition. In this video, we will solve a two-step equation that involves division and addition.

Solving Two-Step Equations
Closed Captioned Video: Two-Step Equations: Division and Subtraction Closed Captioned Video: Two-Step Equations: Division and Subtraction Closed Captioned Video: Two-Step Equations: Division and Subtraction

Video Tutorial: Two-Step Equations: Division and Subtraction. In this video, we will solve a two-step equation that involves division and subtraction.

Solving Two-Step Equations
Closed Captioned Video: Two-Step Equations: Multiplication and Addition Closed Captioned Video: Two-Step Equations: Multiplication and Addition Closed Captioned Video: Two-Step Equations: Multiplication and Addition

Video Tutorial: Two-Step Equations: Multiplication and Addition. In this video, we will solve a two-step equation that involves multiplication and addition.

Solving Two-Step Equations
Closed Captioned Video: Two-Step Equations: Multiplication and Subtraction Closed Captioned Video: Two-Step Equations: Multiplication and Subtraction Closed Captioned Video: Two-Step Equations: Multiplication and Subtraction

Video Tutorial: Two-Step Equations: Multiplication and Subtraction. In this video, we will solve a two-step equation that involves multiplication and subtraction.

Solving Two-Step Equations
Definition--Equation Concepts--"Not Equal To" Definition--Equation Concepts--"Not Equal To" Not Equal To

Topic

Equations

Definition

The "Not Equal To" symbol (≠) is used to indicate that two values are not equal.

Description

The "Not Equal To" symbol is crucial in mathematics as it denotes inequality between two expressions. This symbol is used in various mathematical contexts, such as solving inequalities, comparing numbers, and expressing conditions in algebraic equations. For example, in the inequality 𝑥 ≠ 5, it means that x can be any number except 5.

Numerical and Algebraic Expressions
Definition--Equation Concepts--Addition Property of Equality Definition--Equation Concepts--Addition Property of Equality Addition Property of Equality

Topic

Equations

Definition

The Addition Property of Equality states that if you add the same value to both sides of an equation, the equality remains true.

Description

The Addition Property of Equality is a fundamental principle in algebra. It asserts that for any real numbers a, b, and c, if a = b, then a + c = b + c. This property is used to solve equations and maintain balance. For example, to solve x − 3 = 7, you add 3 to both sides to get x = 10.

Applications of Equations and Inequalities
Definition--Equation Concepts--Algebraic Equation Definition--Equation Concepts--Algebraic Equation Algebraic Equation

Topic

Equations

Definition

An algebraic equation is a mathematical statement that shows the equality of two algebraic expressions. It's also another way of referring to a polynomial equation.

Description

Algebraic equations are central to algebra and involve variables, constants, and arithmetic operations. They are used to represent relationships and solve problems. For instance, the equation 2x + 3 = 7 can be solved to find x. Algebraic equations come in various forms, including linear, quadratic, and polynomial equations.

Applications of Equations and Inequalities
Definition--Equation Concepts--Algebraic Expression Definition--Equation Concepts--Algebraic Expression Algebraic Expression

Topic

Equations

Definition

An algebraic expression is a combination of variables, constants, and arithmetic operations, without an equality sign.

Description

Algebraic expressions are fundamental components of algebra. They represent quantities and relationships without asserting equality. Examples include 3x + 4 and 5y − 2. Unlike equations, expressions cannot be solved but can be simplified or evaluated for given variable values.

Numerical and Algebraic Expressions
Definition--Equation Concepts--Assigning Values to Variables Definition--Equation Concepts--Assigning Values to Variables Assigning Values to Variables

Topic

Equations

Definition

Assigning values to variables involves giving specific values to variables in an equation or expression.

Description

Assigning values to variables is a fundamental process in algebra. It involves substituting variables with specific numbers to evaluate expressions or solve equations. For example, in the equation 

y = 2x + 3

assigning x = 4 gives y = 11.

Variable Expressions
Definition--Equation Concepts--Conditional Equation Definition--Equation Concepts--Conditional Equation Conditional Equation

Topic

Equations

Definition

A conditional equation is true only for specific values of the variable(s).

Description

Conditional equations are equations that hold true only under certain conditions or for specific variable values. For example, the equation 

x2 = 4 

is true only when x = 2 or x = −2. These equations contrast with identities, which are true for all variable values.

Applications of Equations and Inequalities
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