Illustrative Math Alignment: Grade 8 Unit 3

Topic

Equations

Description

This segment focuses on equations with subtraction and negative coefficients. Steps include adding the constant, simplifying, and dividing by the negative coefficient. Vocabulary includes negative coefficient, isolate, and subtraction. Applications highlight algebraic problem-solving with negative coefficients.

Topic

Equations

Description

This video presents subtraction, multiplication, and negative coefficients alongside negative numbers. Solving requires adding the constant, simplifying, and dividing by the negative coefficient. Vocabulary includes subtraction, negative values, and isolate. Applications stress solving equations with multiple negative components.

Topic

Equations

Description

This tutorial covers equations involving addition and division. Key steps are subtracting the constant and multiplying by the reciprocal of the divisor. Vocabulary includes reciprocal, division, and isolate. Applications build on foundational algebraic techniques involving division.

Topic

Solving Equations

Description

This video introduces one-step equations that require one mathematical operation to solve. The focus is on addition equations, indicated by the addition symbol. The solution process involves using subtraction to isolate the variable. Key math concepts include solving equations, inverse operations, and maintaining equation balance. Key vocabulary includes addition, subtraction, equation, and inverse operation. Practical applications involve basic algebraic problem-solving.

Topic

Solving Equations

Description

This video covers one-step division equations, identifiable by the division symbol or fraction notation. Multiplication is applied as the inverse operation to solve for the variable. Key concepts include solving equations, inverse operations, and keeping equations balanced. Vocabulary emphasized includes division, fraction, multiplication, inverse operation, and equation. These equations are practical for solving proportional problems and foundational algebraic expressions.

Topic

Solving Equations

Description

This tutorial demonstrates solving one-step multiplication equations. Such equations are characterized by a coefficient next to the variable. Division is used to isolate the variable. The key math concepts are solving equations, using inverse operations, and maintaining balance. Important vocabulary terms include multiplication, coefficient, variable, division, and inverse operation. Applications include foundational algebra skills for understanding more complex equations.

Topic

Solving Equations

Description

This video explains how to solve one-step subtraction equations. These equations are identified by the subtraction symbol, and solving them involves using addition to isolate the variable. Key concepts discussed are solving equations, inverse operations, and keeping equations balanced. Important vocabulary includes subtraction, addition, inverse operation, and equation. Applications include solving simple algebra problems encountered in everyday contexts.

In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources.

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Topic

Solving Equations

Description

This video introduces solving two-step equations involving multiplication and addition. Key concepts include using inverse operations like division and subtraction to isolate the variable. Vocabulary includes variable, equation, inverse operations, multiplication, and addition. Applications include basic algebra.

Topic

Solving Equations

Description

The video explains solving two-step equations that involve multiplication and subtraction. It emphasizes the use of inverse operations such as division and addition. Key terms are variable, equation, inverse operations, multiplication, and subtraction. Algebraic applications are highlighted.

Topic

Solving Equations

Description

The tutorial covers solving two-step equations involving division and addition. It focuses on isolating the variable using inverse operations like multiplication and subtraction. Vocabulary includes variable, equation, inverse operations, division, and addition. Applications are centered on algebraic problem-solving.

Topic

Solving Equations

Description

This video addresses solving two-step equations involving division and subtraction. It demonstrates applying inverse operations, specifically multiplication and addition, to isolate the variable. Terms such as variable, equation, inverse operations, division, and subtraction are emphasized. Algebraic uses are discussed.

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the quadratic formula. In this example there is only one real root. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two complex roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations.

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

Topic

Equations

Description

The video introduces algebraic expressions and their ability to represent both known and unknown quantities. It defines variables as placeholders for unknowns and explains equations as relationships between two expressions. Key concepts include solving for variables and understanding the role of variables in equations. Key vocabulary includes variable, unknown quantity, and equation. The applications discussed include investigations into real-world scenarios such as honeybee populations and river geology.

Topic

Equations

Description

This segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications.

Topic

Equations

Description

The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

Topic

Inequalities

Description

This video introduces inequalities, contrasting them with equations, and discusses their properties and solution methods. Key concepts include graphing solutions, interval notation, and inequality symbols. Applications are contextualized through scenarios like semester grades and fitness ranges. Key terms include inequality, interval notation, and solution set.

Topic

Inequalities

Description

In this Math Lab explore compound inequalities on a number line.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

Topic

Inequalities

Description

Building on Part 1, this video explores systems of inequalities and their geometric representations. Applications include business profit modeling using linear inequalities. Key vocabulary includes half-planes, slope-intercept form, and solution regions. Real-world examples, like yoga studio budgeting, highlight practical uses of inequalities.

Topic

Inequalities

Description

In this Math Lab explore graphical solutions to linear inequalities.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

Topic

Equations

Description

This video covers the historical evolution of equations, the role of variables, constants, and parameters, and introduces linear and quadratic equations. Key vocabulary includes symbolic algebra, parameter, variable, and constants. Real-world applications are introduced through general problem-solving using linear equations, like solving for unknowns in financial contexts.

Topic

Equations

Description

In this Math Lab explore the linear relationship between the circumference and diameter of a circle.

Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.

Topic

Equations

Description

Expanding on Part 1, this video demonstrates solving linear equations algebraically and dynamically using TI-Nspire technology. Applications include walk-a-thons and bike-a-thons, illustrating linear relationships in practical contexts. Key vocabulary includes linear equation, function, and symbolic representation.

Topic

Equations

Description

In this Math Lab, use a visual model to find the square of a binomial.

Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we look at how to represent variables with algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

This is part of a collection of bingo cards that can be used to review addition skills. "B" has addition facts from 0 to 15. "I" has addition facts from 16 to 30. "N" has addition facts from 31 to 45. "G" has addition facts from 46 to 60. "O" has addition facts from 61 to 75.

Related Resources

Worksheet Library

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

Related Resources

Worksheet Library

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

Related Resources

Worksheet Library