Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Nodes |
---|---|---|---|
SAT Math Prep—Quadratic Functions and Equations | Description
Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas: Definition of a quadratic function Definition of a quadratic equation Solving quadratic equations algebraically Solving quadratic functions graphicallyStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT. |
Applications of Quadratic Functions and Quadratic Equations and Functions | |
What Is an Equation? | Description
Your students may know how to solve equations (or not), but do they know the underlying mathematical processes and properties involved in solving them? Do they have sufficient vocabulary to explain their steps in solving an equation? More than memorizing an algorithm, the ability to define and use the properties of equality, as well as other key parts of the equation-solving process are essential for mathematical competence. The ability to analyze and use logical reasoning are skills that go beyond the math classroom. In this module, students learn the basics of the equation-solving process. These principles apply to any equation a student is solving and provide a needed foundational reinforcement for students. |
Applications of Equations and Inequalities | |
Solving Two-Step Equations | Description
In this module students learn how to solve two-step equations. Students are shown how to solve these equations using the Properties of Equality (Addition, Subtraction, Multiplication, and Division). Specifically, students work with the following equation types: ax + b = c ax – b = c x/a + b = c x/a – b = cJust as important as solving these equations, students are shown how to recognize such equations. It's in the recognition of the equation type that students can reason their way to the solution, by deciding which of the Properties of Equality to use. |
Solving One-Step Equations | |
What Is an Equation? | Description
Your students may know how to solve equations (or not), but do they know the underlying mathematical processes and properties involved in solving them? Do they have sufficient vocabulary to explain their steps in solving an equation? More than memorizing an algorithm, the ability to define and use the properties of equality, as well as other key parts of the equation-solving process are essential for mathematical competence. The ability to analyze and use logical reasoning are skills that go beyond the math classroom. In this module, students learn the basics of the equation-solving process. These principles apply to any equation a student is solving and provide a needed foundational reinforcement for students. |
Applications of Equations and Inequalities | |
Solving Two-Step Equations | Description
In this module students learn how to solve two-step equations. Students are shown how to solve these equations using the Properties of Equality (Addition, Subtraction, Multiplication, and Division). Specifically, students work with the following equation types: ax + b = c ax – b = c x/a + b = c x/a – b = cJust as important as solving these equations, students are shown how to recognize such equations. It's in the recognition of the equation type that students can reason their way to the solution, by deciding which of the Properties of Equality to use. |
Solving One-Step Equations | |
Solving Two-Step Equations | Description
In this module students learn how to solve two-step equations. Students are shown how to solve these equations using the Properties of Equality (Addition, Subtraction, Multiplication, and Division). Specifically, students work with the following equation types: ax + b = c ax – b = c x/a + b = c x/a – b = cJust as important as solving these equations, students are shown how to recognize such equations. It's in the recognition of the equation type that students can reason their way to the solution, by deciding which of the Properties of Equality to use. |
Solving One-Step Equations | |
SAT Math Prep—Quadratic Functions and Equations | Description
Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas: Definition of a quadratic function Definition of a quadratic equation Solving quadratic equations algebraically Solving quadratic functions graphicallyStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT. |
Applications of Quadratic Functions and Quadratic Equations and Functions | |
SAT Math Prep—Quadratic Functions and Equations | Description
Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas: Definition of a quadratic function Definition of a quadratic equation Solving quadratic equations algebraically Solving quadratic functions graphicallyStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT. |
Applications of Quadratic Functions and Quadratic Equations and Functions | |
SAT Math Prep—Quadratic Functions and Equations | Description
Media4Math Classroom's SAT Math Prep series provide a thorough review of key math topics covered on the SAT. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a complete review of the topic of quadratic functions and equations. This module covers four key areas: Definition of a quadratic function Definition of a quadratic equation Solving quadratic equations algebraically Solving quadratic functions graphicallyStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the SAT. |
Applications of Quadratic Functions and Quadratic Equations and Functions | |
SAT Math Prep--Systems of Equations |
Description
This module reviews systems of equations. In particular, these topics are covered. Definition of a system of equations Substitution method Elimination method Non-linear systemsPlan on spending at least 30 minutes per topic. This entire module can be completed over a two-hour period, which can be broken up into several sessions. For each topic students will review key concepts, look at numerous examples, and then look at sample SAT assessment items, with clear explanations to each assessment item. |
Applications of Linear Systems | |
SAT Math Prep--Linear Equations and Functions | Description
Media4Math Classroom is developing a series of instructional modules for reviewing SAT math topics in detail. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a thorough review of the topic of linear equations. This module covers four key areas: Slope-intercept form Point-slope form Equations for parallel and perpendicular lines Equations in standard formStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the test. |
Applications of Linear Functions | |
SAT Math Prep--Linear Equations and Functions | Description
Media4Math Classroom is developing a series of instructional modules for reviewing SAT math topics in detail. These modules review the key skills that are tested on the SAT with a two-pronged approach: Review the basics of the math skills required. Develop an understanding of the types of questions that are likely to occur on the SAT around these skills.In this module there is a thorough review of the topic of linear equations. This module covers four key areas: Slope-intercept form Point-slope form Equations for parallel and perpendicular lines Equations in standard formStudents are given ample opportunities to review and test their understanding of the basics of these areas, before moving on to the more rigorous types of questions they can expect to see on the test. |
Applications of Linear Functions | |
SAT Math Prep--Systems of Equations |
Description
This module reviews systems of equations. In particular, these topics are covered. Definition of a system of equations Substitution method Elimination method Non-linear systemsPlan on spending at least 30 minutes per topic. This entire module can be completed over a two-hour period, which can be broken up into several sessions. For each topic students will review key concepts, look at numerous examples, and then look at sample SAT assessment items, with clear explanations to each assessment item. |
Applications of Linear Systems | |
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 ResourcesTo 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
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
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 ResourcesTo 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
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
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
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, 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, 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, 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
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, 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, 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
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, 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, 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
DescriptionVideo 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: 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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" | Not Equal ToTopicEquations DefinitionThe "Not Equal To" symbol (≠) is used to indicate that two values are not equal. DescriptionThe "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 | Addition Property of EqualityTopicEquations DefinitionThe Addition Property of Equality states that if you add the same value to both sides of an equation, the equality remains true. DescriptionThe 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 | Algebraic EquationTopicEquations DefinitionAn 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. DescriptionAlgebraic 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 | Algebraic ExpressionTopicEquations DefinitionAn algebraic expression is a combination of variables, constants, and arithmetic operations, without an equality sign. DescriptionAlgebraic 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 | Assigning Values to VariablesTopicEquations DefinitionAssigning values to variables involves giving specific values to variables in an equation or expression. DescriptionAssigning 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 | Conditional EquationTopicEquations DefinitionA conditional equation is true only for specific values of the variable(s). DescriptionConditional 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 |