Illustrative Math Alignment: Grade 7 Unit 9

Topic

Expressions and Equations

Description

This video explains solving one-step equations like x + 2 = 4 and x ÷ 2 = 4 with algebra tiles. It covers addition, subtraction, multiplication, and division operations. Key vocabulary includes one-step equations, zero pairs, and operations.

Topic

Expressions and Equations

Description

The video discusses solving two-step equations like 2x + 2 = 4 using algebra tiles. It shows a multi-stage process for isolating variables, including handling subtraction as addition. Key vocabulary includes two-step equations, multi-stage process, and integer tiles.

Topic

Expressions and Equations

Description

This video covers multi-step equations, such as 3x + 2 = x + 4, using algebra tiles. It demonstrates how to isolate variables through a multi-stage process involving addition and subtraction. Key vocabulary includes multi-step equations, isolation, and operations.

Topic

Expressions and Equations

Description

This video covers multi-step equations, such as 3x + 2 = x + 4, using algebra tiles. It demonstrates how to isolate variables through a multi-stage process involving addition and subtraction. Key vocabulary includes multi-step equations, isolation, and operations.

Topic

Expressions and Equations

Description

This video explains modeling positive integers using algebra tiles, focusing on the yellow tiles representing positive integers. Examples demonstrate different tile arrangements modeling integers like 6 and 8, emphasizing that arrangement does not affect the value represented. Key vocabulary includes positive integers, tiles, and arrangements.

Topic

Expressions and Equations

Description

This video covers the use of red tiles to model negative integers. It demonstrates counting tiles to represent integers like -10 and -8 and shows that arrangement does not alter the integer modeled. Key vocabulary includes negative integers, tiles, and arrangement.

Topic

Expressions and Equations

Description

This video introduces the concept of zero pairs, where opposite tiles, like +1 and -1, cancel each other out. It explains how to simplify tile groups using zero pairs and provides examples with both integers and variables. Key vocabulary includes zero pairs, integers, and simplification.

Topic

Expressions and Equations

Description

The video demonstrates using green tiles to model variables and their squares. Examples include expressions like 2x and 3x2. Negative variables and squares are also modeled using red tiles. Key vocabulary includes variables, x2, positive tiles, and negative tiles.

Topic

Expressions and Equations

Description

This video explains how to model expressions like 2x + 3 or -3x + 5 using algebra tiles. Examples include both positive and negative tiles for variables and integers, as well as more complex expressions with x-squared. Key vocabulary includes variable expressions, integers, x-squared, and tiles.

Topic

Expressions and Equations

Description

The video demonstrates modeling equations with algebra tiles, using a vertical bar to represent the equals sign. Examples include linear equations like x + 2 = -2 and quadratic equations like x-squared + x + 2 = 2. Key vocabulary includes equations, quadratic, integers, and variables.

Topic

Expressions and Equations

Description

This video focuses on modeling one-step equations using algebra tiles. Examples include equations involving addition, subtraction, multiplication, and division, such as x + 2 = 4 or x ÷ 9 = 10. Key vocabulary includes one-step equations, operations, integers, and variables.

Topic

Expressions and Equations

Description

This video focuses on modeling one-step equations using algebra tiles. Examples include equations involving addition, subtraction, multiplication, and division, such as x + 2 = 4 or x ÷ 9 = 10. Key vocabulary includes one-step equations, operations, integers, and variables.

Topic

Expressions and Equations

Description

The video explains two-step equations involving combinations of operations like addition and division. Examples include 2x + 2 = 4 and x ÷ 2 - 4 = 10. It highlights rewriting subtraction as addition for modeling. Key vocabulary includes two-step equations, operations, integers, and variables.

Topic

Equations

Description

This tutorial explains solving one-step equations involving addition. Key math concepts include identifying the addition operation and isolating the variable to find the solution. Vocabulary includes terms like variable, isolate, and addition operation. The math application involves solving equations such as x + 2 = 5 by subtracting 2 from both sides to isolate the variable and find x = 3.

Topic

Equations

Description

This tutorial extends solving one-step equations involving addition with negative numbers. It focuses on isolating the variable and managing negative values. Vocabulary includes terms like variable, isolate, and negative number. The application includes equations like x + 4 = -9, solved by subtracting 4 from both sides to find x = -13.

Topic

Equations

Description

This tutorial explains solving one-step equations involving division. The key focus is on isolating the variable through multiplication. Vocabulary includes terms like variable, isolate, and division operation. For example, solving x / 5 = 4 involves multiplying both sides by 5 to find x = 20.

Topic

Equations

Description

This tutorial demonstrates solving one-step equations involving multiplication. Key concepts include identifying the multiplication operation and isolating the variable. Vocabulary includes terms like variable, isolate, and multiplication operation. The application involves equations like 2x = 10, solved by dividing both sides by 2 to find x = 5.

Topic

Equations

Description

This tutorial explores solving one-step equations involving subtraction. Key concepts include recognizing the subtraction operation and isolating the variable. Vocabulary includes terms like variable, isolate, and subtraction operation. The application demonstrates solving equations such as x - 3 = 5 by adding 3 to both sides to isolate the variable and find x = 8.

Topic

Equations

Description

This tutorial covers solving one-step equations involving subtraction with negative numbers. The focus is on isolating the variable while handling negative values. Vocabulary includes terms like variable, isolate, and negative number. An example involves solving x - 5 = -12 by adding 5 to both sides to find x = -7.

Topic

Integers

Description

This video introduces variable expressions with integers, focusing on simplifying and evaluating expressions. Key concepts include distributive property, combining like terms, and factoring. Vocabulary: variable expression, distribute, like terms. Applications involve calculating areas and volumes using expressions with variables.

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.

Topic

Rational Numbers

Description

The video explores variable expressions involving rational numbers. Examples include finding combined areas of rectangles using algebraic expressions and analyzing the trajectory of a ball using a formula with time as a variable. It demonstrates real-world applications of rational number operations in algebra and physics.

Topic

Ratios

Description

The video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks.

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.

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.

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 math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of combining like terms in an expression. Learning how to identify the different variables in word problems can be an important step toward solving equations and finding like terms. First, read the word problem and try to identify each variable represented. Then, write down your expressions including each variable you’ve identified. This will help you visualize what needs to be solved, making it easier to find like terms in each equation.

The next section provides background information on combining like terms.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 01

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 02

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 03

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 04

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 05

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 06

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.

Worksheet: Converting Decimals to Percents Greater Than 100, Set 07

This is part of a collection of math worksheets on the topic of converting decimals.

To see the complete worksheet collection on this topic, click on this link.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.