New York State Common Core

8

Mathematics Curriculum

GRADE

GRADE 8 • MODULE 4

Topic B:

Linear Equations in Two Variables and Their Graphs 8.EE.B.5 Focus Standard:

8.EE.B.5

Instructional Days:

5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Lesson 10: A Critical Look at Proportional Relationships (S)

1

Lesson 11: Constant Rate (P) Lesson 12: Linear Equations in Two Variables (E) Lesson 13: The Graph of a Linear Equation in Two Variables (S) Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical Lines (S)

Related Topics: More Lesson Plans for Grade 8 Common Core Math Topic B begins with students working with proportional relationships related to average speed and constant speed. In Lesson 10, students use information that is organized in the form of a table to write linear equations. In Lesson 11, students learn how to apply the concept of constant rate to a variety of contexts requiring two variables (8.EE.B.5). Lesson 12 introduces students to the standard form of an equation in two variables. At this point, students use a table to help them find and organize solutions to a linear equation in two variables. Students then use the information from the table to begin graphing solutions on a coordinate plane. Lesson 13 is when students begin to question whether or not the graph of a linear equation is a line as opposed to something that is curved. Lesson 14 presents students with equations in standard form, , where or which produces lines that are either vertical or horizontal.

1

Lesson Structure Key: P-Problem Set Lesson, M-Modeling Cycle Lesson, E-Exploration Lesson, S-Socratic Lesson

Topic B: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org

Linear Equations in Two Variables and Their Graphs 3/22/14 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

104

G8-M4-Topic Overview B.pdf

Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Topic B: Linear Equations in Two Variables and Their. Graphs. 8.EE.B.5. Focus Standard: 8.EE.B.5 Graph proportional relationships, interpreting the unit rate as the slope of the. graph. Compare two different proportional relationships ...

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