Understand the connections between proportional relationships, lines, and linear equations.

Expressions and Equations

Understand the connections between proportional relationships, lines, and linear equations.

Expressions and Equations

Arkansas DOE

Last updated:

2016-04-30 16:05:38

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

- This standard is part of: AR.Math.Content.8.EE
- This standard is derived from: CCSS.Math.Content.8.EE.B

Finer grained standards that are part of this one

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways (graphs, tables, equations).

Arkansas DOE

Last updated:

2016-09-01 18:38:03

Using a non-vertical or non-horizontal line, show why the slope m is the same between any two distinct points by creating similar triangles. Write the equation π¦ = ππ₯ for a line through the origin. Be able to write the equation π¦ = ππ₯ + π for a line intercepting the vertical axis at π.

Arkansas DOE

Last updated:

2018-05-18 13:27:47

Standards with the same topic and subject but for other grades

Solve real-world and mathematical problems by writing and solving equations of the form π₯ + π = π and ππ₯ = π for cases in which π, π and π₯ are all nonnegative rational numbers.

Arkansas DOE

Last updated:

2018-05-18 13:06:09

Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all nonnegative rational numbers.

Arkansas DOE

Last updated:

2015-04-08 13:03:28

Solve word problems leading to equations of the form π±πΉ + π² = π³ and π±(πΉ + π²) = π³, where π±, π², and π³ are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Arkansas DOE

Last updated:

2015-04-08 13:03:28

Recognize and represent proportional relationships between quantities. Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin). Identify unit rate (also known as the constant of proportionality) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Represent proportional relationships by equations (e.g., If total cost π‘ is proportional to the number π of items purchased at a constant price π, the relationship between the total cost and the number of items can be expressed as π‘ = ππ). Explain what a point (π₯, π¦) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, π) where π is the unit rate.

Arkansas DOE

Last updated:

2018-05-18 13:21:00

Explain what a point (πΉ, πΊ) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, π³) where π³ is the unit rate.

Arkansas DOE

Last updated:

2015-04-08 13:03:28

Standards derived from the same national standard

Understand the connections between proportional relationships, lines, and linear equations.

New Hampshire DOE

Last updated:

2013-06-20 14:05:35

Understand the connections between proportional relationships, lines, and linear equations.

Louisiana DOE

Last updated:

2015-05-31 16:56:28

Expressions & Equations: Understand the connections between proportional relationships, lines, and linear equations.

Colorado DOE

Last updated:

2018-10-01 07:48:51

Understand the connections between proportional relationships, lines, and linear equations.

Wyoming DOE

Last updated:

2013-06-21 09:03:55

Understand the connections between proportional relationships, lines, and linear equations.

Massachusetts DOE

Last updated:

2017-07-11 18:06:07

Newsletter sign-up form

Share My Lesson