Illustrative Math Alignment: Grade 7 Unit 7

Topic

Equations

Definition

The Transitive Property of Equality states that if a = b and b = c, then a = c.

Description

The Transitive Property of Equality is a fundamental principle in mathematics. It states that if one quantity equals a second quantity, and the second quantity equals a third, then the first and third quantities are equal. For example, if 

x = y

and

y = z

then 

x = z

This property is used to justify steps in solving equations and proving mathematical statements.

Topic

Equations

Definition

A true equation is an equation that holds true for the given values of the variable(s).

Description

A true equation is an equation that is valid for specific values of the variable(s). For example, the equation 

2 + 3 = 5

is true because both sides are equal. Identifying true equations is important in verifying the correctness of mathematical statements.

In real-world applications, recognizing true equations helps in ensuring the accuracy of mathematical models and solutions. Understanding true equations helps students develop critical thinking and analytical skills.

Topic

Equations

Definition

A two-step equation requires two operations to solve.

Description

Two-step equations involve performing two operations to isolate the variable. For example, solving 

2x + 3 = 7

requires subtracting 3 from both sides and then dividing by 2 to find x = 2. These equations are common in algebra and require a systematic approach to solve.

In real-world applications, two-step equations are used in problem-solving scenarios such as calculating costs or determining measurements. Understanding how to solve two-step equations helps students develop critical thinking and problem-solving skills.

Topic

Equations

Definition

A variable expression is a mathematical phrase involving variables, numbers, and operation symbols.

Description

Variable expressions consist of variables, numbers, and operations such as addition, subtraction, multiplication, and division. For example, 

3x + 4

is a variable expression. These expressions are used to represent quantities and relationships in algebra.

Topic

Equations

Definition

Visual models for equations use graphical representations to illustrate the relationships between variables.

Description

Visual models for equations include graphs, charts, and diagrams that represent the relationships between variables. For example, a graph of the equation 

y = 2x + 3

shows a straight line with a slope of 2 and a y-intercept of 3. These models help in understanding and interpreting equations.

An equation shows a relationship between two quantities. The download is a PDF.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

An equation shows a relationship between two quantities. Note: The download is a PDF.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Use this math game to review one-step equations. Students are shown four equations and are asked to correctly label the equation with drag-and-drop. The game provides feedback.

Related Resources

Use this math game to review two-step equations. Students are shown four equations and are asked to correctly label the equation with drag-and-drop. The game provides feedback.

Related Resources

In this tutorial, students are shown the process of solving equations. In particular, they look at the properties of equality that allow for the manipulation of equations in order to arrive at a solution.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link. 

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.